Calculated Industries 44080 User manual

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User’s Guide
4065 Construction Master Pro v3.0
4080 Construction Master Pro Trig v3.0
44080 Construction Master Pro Desktop v3.0
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This User’s Guide helps you solve common construction math and material estimation problems using the latest
Construction Master Pro
calculators—three of the most powerful feet-inch-fraction calculators to date:
The
Construction Master Pro III
Series —
1. Construction Master Pro v3.0 (#4065)
2. Construction Master Pro Trig v3.0 (#4080)
3. Construction Master Pro Desktop v3.0 (#44080)
IMPORTANT: The
Construction Master Pro Trig
does not have Block, Concrete Footing, Drywall, or Length, Width, and Height functions. These keys are replaced with standard trigonometric keys.
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The
Construction Master Pro
line includes the most advanced feet-
inch-fraction calculators
designed specifically for building pro’s!
The
Pro
calculators handle practically any problem involving meas­urements and can be used to save time, prevent errors, and accu­rately perform common building projects such as: estimating con­crete volume, squaring-up foundations, framing roofs, ordering lum­ber, building stairs, walls, laying driveways, carpet or floor covering, figuring precise angle calculations, or simply working in feet-inch­fractions or decimal feet!
Your Calculator Helps You Solve:
Dimensional Math Problems
Conversions Between Feet-Inch-Fractions, Decimal Feet, Decimal Inches, and Yards
Imperial/Metric Conversions
Problems Involving All Common Fractions —
1/2” to 1/64”!
Area/Volume Calculations
Board Feet/Lumber Calculations
Circle Calculations
Column/Cone Area and Volume
Compound Miter Cuts for Crown Moulding
Material Estimations and Costs
Polygons
Rake-Walls
Right Angle/Triangle Solutions
Roofing Materials
Stair Layout (Risers/Treads)
Studs
Weight/Volume Conversions
Pro and Desktop Models (
NOT AVAILABLE ON TRIG MODEL
#4080)
Also Solve:
Block/Bricks, Concrete Footings and Drywall
Instant Square-up, Perimeter, Wall Area, Room Area and Volume
INTRODUCTION
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GETTING STARTED..........................................................................8
KEY DEFINITIONS .........................................................................8
Basic Operation Keys ..................................................................8
Convert Ç Key –
Unit Conversions and Second Functions
....8
Memory and Storage Functions...................................................9
Recall ® Key...........................................................................10
Dimensional Measurement Unit Keys........................................10
Area and Volume Keys (NOT AVAILABLE ON TRIG MODEL #4080) ....11
Weight Keys...............................................................................12
Construction Project Keys..........................................................13
Block/Brick Keys (NOT AVAILABLE ON TRIG MODEL #4080)..............13
Circular/Arc Function Keys ........................................................13
Column/Cone Key......................................................................15
Compound Miter/Crown Moulding Keys....................................15
Drywall Keys (NOT AVAILABLE ON TRIG MODEL #4080)....................16
Footing Keys (NOT AVAILABLE ON TRIG MODEL #4080) ...................16
Polygon Key...............................................................................16
Right Triangle/Roof Framing Keys.............................................17
Hip/Valley and Jack Rafter Keys................................................18
Rake-Wall Function....................................................................20
Roof Materials/Covering Keys ...................................................21
Stair Key ....................................................................................21
Studs..........................................................................................23
Trigonometric Keys (TRIG #4080 AND DESKTOP #44080
MODELS ONLY)...........................................................................23
ENTERING DIMENSIONS............................................................25
Entering Linear Dimensions .......................................................25
Entering Square/Cubic Dimensions...........................................25
SETTING FRACTIONAL RESOLUTION.......................................27
Setting Fraction Resolution –
Using the Preference
Setting Mode
...........................................................................27
Setting Fraction Resolution –
Using
Ç ..................................28
Converting Fractional Value to Different Resolution..................28
Setting Fixed/Constant Fractional Resolution............................29
CONVERSIONS (LINEAR, AREA, VOLUME)..............................30
Linear Conversions....................................................................30
Converting Feet-Inch-Fractions to Decimal Feet.......................30
Converting Decimal Feet to Feet-Inch-Fractions.......................30
Converting Fractional Inches to Decimal Inches.......................31
TABLE OF CONTENTS
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Converting Decimal Inches to Fractional Inches.......................31
Square Conversions ..................................................................31
Cubic Conversions.....................................................................31
PERFORMING BASIC MATH WITH DIMENSIONS.....................32
Adding Dimensions....................................................................32
Subtracting Dimensions.............................................................32
Multiplying Dimensions..............................................................32
Dividing Dimensions ..................................................................32
Percentage Calculations............................................................33
MEMORY OPERATION................................................................33
Basic Cumulative Memory (M+).................................................34
Permanent Storage Registers (M1 and M2)..............................34
PAPERLESS TAPE OPERATION .................................................35
EXAMPLES –
USING THE CONSTRUCTION MASTER PRO
......37
LINEAR MEASUREMENT EXAMPLES........................................37
Adding Linear Measurements....................................................37
Cutting Boards...........................................................................37
Window Measurement...............................................................38
Calculating the Center Point......................................................38
AREA CALCULATIONS................................................................39
Square Area (x2) ........................................................................39
Area of a Rectangular Room (LxW) ..........................................39
Using Multi-Function W Key to Find Area, Square-up and
Perimeter (NOT AVAILABLE ON TRIG MODEL #4080) ......................39
VOLUME CALCULATIONS ...........................................................40
Rectangular Containers (LxWxH)..............................................40
Using the Multi-Function h Key to Find Volume, Area,
Square-Up, Perimeter, Wall Area and Room Area
(NOT AVAILABLE ON TRIG MODEL #4080) ......................................40
Volume of a Cylinder..................................................................41
Volume of a Cone......................................................................41
WEIGHT/VOLUME CONVERSIONS............................................42
Weight Conversions...................................................................42
Weight per Volume/Volume Conversions...................................42
BLOCKS/BRICKS (NOT AVAILABLE ON TRIG MODEL #4080)...............43
Number of Blocks, Based on Calculated Area .........................43
Number of Blocks, Based on Entered Area...............................43
Number of Blocks, Based on Calculated Perimeter ..................44
Number of Blocks, Based on Length.........................................44
Number of “Face” Bricks ...........................................................45
Number of “Paver” Bricks .........................................................45
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BOARD FEET –
LUMBER ESTIMATION
.....................................46
Total Board Feet –
With Dollar Cost
..........................................46
Number of Board Feet Based on Entered Volume ....................46
CIRCLE AND ARC CALCULATIONS............................................47
Circumference and Area of a Circle...........................................47
Arc Length –
Degree and Diameter Known
...............................47
Arc Length –
Degree and Radius Known
..................................47
Arc Calculations –
Arc Length and Diameter Known
................48
Arched/Circular Rake-Walls –
Chord Length and Segment Rise
Known
.....................................................................................49
Arched Windows........................................................................50
COMPOUND MITER.....................................................................51
Compound Miter Cuts................................................................51
CONCRETE/PAVING....................................................................52
Volume of Concrete for a Driveway...........................................52
Concrete Columns.....................................................................53
Complex Concrete Volume........................................................54
Polygon, Finding Angles Based on Entered Radius and
Number of Sides.....................................................................55
Concrete Footings (NOT AVAILABLE ON TRIG MODEL #4080)...........56
Squaring-up a Foundation .........................................................57
DRYWALL (NOT AVAILABLE ON TRIG MODEL #4080)...........................58
Number of Drywall Sheets for a Given Area..............................58
Number of Drywall Sheets for a Given Length..........................58
GRADE/SLOPE.............................................................................59
Back-Fill on a Slope –
Percent of Grade Known
.......................59
RIGHT TRIANGLE AND ROOF FRAMING EXAMPLES..............60
Roof Framing Definitions ...........................................................61
Degree of Pitch..........................................................................63
Percent Grade............................................................................63
Pitch Ratio or Slope...................................................................63
Common Rafter Length..............................................................64
Common Rafter Length –
Pitch Unknown
.................................64
Angle and Diagonal (Hypotenuse).............................................65
Rise............................................................................................65
Rise and Diagonal......................................................................65
Sheathing Cut............................................................................66
Regular Hip/Valley and Jack Rafters ........................................66
Jack Rafters –
Using Other Than 16 Inch On-Center
Spacing
..................................................................................67
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Irregular Hip/Valley and Jack Rafters –
Descending, with
On-Center Spacing Maintained
..............................................68
Irregular Hip/Valley and Jack Rafters –
Ascending, with
Jacks Mating at Hip/Valley
......................................................70
Rake-Wall –
No Base
.................................................................72
Rake-Wall –
With Base
..............................................................73
ROOFING MATERIALS ................................................................74
Roof Covering –
Entering Pitch, Length and Width
..................74
Roof Covering –
Entering Rise, Run (No Pitch) and Area
.........75
STAIR LAYOUT EXAMPLES ........................................................76
Stair Layout Definitions..............................................................76
Stairs –
Given Only Floor-to-Floor Rise
.....................................78
Stairs –
Given Only the Run
......................................................80
Stairs –
Given Rise and Run
.....................................................81
Stairs –
Given Rise and Run, Using “Riser Limited” Function
for Code Restrictions
..............................................................82
Baluster Spacing........................................................................83
STUDS..........................................................................................84
BASIC D:M:S AND TRIGONOMETRY EXAMPLES .....................84
Converting Degrees:Minutes:Seconds ......................................84
Time Calculations Using D:M:S.................................................84
TRIGONOMETRIC FUNCTIONS..................................................85
Converting Percent Grade to D:M:S..........................................86
Converting Tangent/Pitch to Angle.............................................86
Converting Roof Angle in Degrees to Pitch in Inches................86
Angle –
Rise and Hypotenuse Known
.......................................87
APPENDIX A –
DEFAULT SETTINGS
............................................88
APPENDIX B –
PREFERENCE SETTINGS
....................................89
How to Set Preferences.............................................................91
Accessing Preference Settings..................................................92
APPENDIX C –
CARE INSTRUCTIONS
.........................................94
APPENDIX D –
IMPORTANT NOTES FOR OWNERS OF
PREVIOUS CONSTRUCTION MASTERS
..................................95
APPENDIX E –
ACCURACY/ERRORS, AUTO SHUT-OFF,
BATTERIES, RESET
....................................................................96
ACCURACY/ERRORS ..................................................................96
Error Codes................................................................................96
AUTO SHUT-OFF .........................................................................96
BATTERIES...................................................................................97
Replacing the Battery(ies)..........................................................97
Battery Replacement Instructions..............................................97
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RESET KEY ..................................................................................97
APPENDIX F –
AREA/VOLUME FORMULAS
................................98
AREA FORMULAS ........................................................................98
SURFACE AREA/VOLUME FORMULAS .....................................99
REPAIR AND RETURN .................................................................100
WARRANTY...................................................................................101
INDEX.............................................................................................104
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KEY DEFINITIONS
Basic Operation Keys
o
On/Clear
— Turns power on. Pressing once clears the display. Pressing twice clears all temporary values.
O Turns all power off, clearing all non-permanent
registers.
+ – x Arithmetic operation keys.
÷ =
% Four-function (+, -, x, ÷) percent key. (See page 33
for examples.)
0 – 9 and Keys used for entering digits. ) (DESKTOP ONLY) Enters “00” to save keystrokes (e.g.,
1 ) to enter 100).
B
Backspace Key
— Used to delete entries one key­stroke at a time (unlike the o function, which deletes the entire entry).
Convert Ç Key —
Unit Conversions and Second Functions
The Ç key is to convert between measurement units or to access the second functions listed below:
Ç x
Clear All
— Clears all values, including Memory. Resets all permanent entries to default values (except Preference Settings which are retained).
Note: Use only when necessary, as it resets all stored values to factory defaults. See page 88 for a listing of default values.
Ç %
x
2
— Squares the value in the display. For example,
to square the value 10, enter 1 0 then Ç %.
Ç B
Square Root Function ( )
— Used to find the square root of a non-dimensional or area value (e.g., 1 0 0 Ç B = 10).
Ç /
x10
y
— Allows entry of an exponent. For example,
8 Ç / 1 4 is 8 times 10 to the 14th power.
GETTING STARTED
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Ç ÷
1/x
— Finds the reciprocal of a number (e.g., 8
Ç ÷ = 0.125).
Ç –
Change Sign (+/–)
— Toggles the sign of the dis-
played value to positive or negative.
Ç +
Pi (π)
— Constant = 3.141593
Ç •
Degrees:Minutes:Seconds
— Converts between
D:M:S and decimal degree formats.
Ç 0
Total Cost
— Calculates total material cost given a
unit dimension and an entered Per Unit Cost.
Ç ß
Access Preference Settings
— Used to access various customizable settings, such as dimensional answer formats (see Preference Settings on page
89).
Memory and Storage Functions
Your calculator has two types of Memory:
1) basic memory or semi-permanent, cumulative µ;
2) non-cumulative Storage Registers (M1-M3).
µ
Semi-Permanent Memory
— Adds any displayed number, dimensioned or unitless, to the semi-per­manent, cumulative Memory. Values can be sub­tracted from this Memory using Ç µ
(M–)
. ® µ will display the value in the Memory. ® ® will display and clear the value in the Memory. Ç ® will clear the cumulative Memory without dis­turbing the existing display.
ß 1 3
Storage Registers (M1) through (M3)
— Stores the displayed value in non-cumulative, permanent Memory (e.g., 1 0 ß 1). Good for storing a single value, for future reference (® 1 = 10).
Note: Non-cumulative means it only accepts one value (does not add or subtract) and a second entered value will replace the first. Permanent means the value is stored even after the calculator is shut off. To delete a stored value, enter a new value or perform a Clear All
Ç x
.
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Recall ® Key
The ® key is used to recall or review stored values (e.g., ® p to recall a previously entered pitch value). It is also used in reviewing stored settings, or in Paperless Tape and Memory operation (see below).
® =
(Paperless) Tape
— Accesses the paperless tape mode (see “Paperless Tape” page 35), which keeps track of your past 20 entries. Useful for checking strings of numbers.
® ®
Clear M+
— Displays and clears M+.
® µ
Recall M+
— Displays value stored in M+.
® 1 3
Recall (M1) through (M3)
— Recalls the value
stored in M1, M2, or M3.
Dimensional Measurement Unit Keys
The following keys are used for entering units of measure, with ease and accuracy:
y
Yards
— Enters or converts to
yards
.
f Enters or converts to
feet
. Also used with the i and / keys for entering feet-inch values (e.g., 6 f 9 i 1 / 2).
Note: Repeated presses of fafter Çtoggle between feet­inches and decimal feet (e.g.,
6 f 9 i 1 / 2 Ç f
=
6.791667 feet; press fagain to return to feet-inch-fractions).
i Enters or converts to
inches
. Also used with the / key for entering fractional inch values (e.g., 9 i 1 / 2).
Note: Repeated presses of iafter Çtoggle between frac­tional and decimal inches (e.g.,
9 i 1 / 2 Ç i =
9.5
inch; press iagain to return to inch-fractions).
/
Fraction Bar
— Used to enter
fractions
. Fractions may be entered as proper (1/2, 1/8, 1/16) or improper (3/2, 9/8). If the denominator (bottom) is not entered, the calculator's fractional resolution setting is auto­matically used (e.g., entering 1 5 / = or + will display 15/16, based on the default fractional resolu­tion setting of 16ths.
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m
Meters
— Enters or converts to
meters
.
Ç 7
Centimeters
— Enters or converts to
centimeters
.
Ç 9
Millimeters
— Enters or converts to
millimeters
.
Ç 2
Acres
— Enters or converts (a square value) to
acres
.
Ç 8
Board Feet
— Enters or converts cubic values to
board feet
. One board foot is equal to 144 cubic
inches.
Area and Volume Keys (NOT AVAILABLE ON TRIG MODEL #4080)
l Enters a length for calculation of area or volume. W A multi-function key used to enter a width for calcu-
lation of area or volume (if a length and height are also entered). Consecutive presses of this key dis­plays or calculates:
Press Result
1 Displays Entered Width 2 Area 3 Square-up 4 Perimeter 5 Redisplays Entered Length 6 Redisplays Entered Width
h A multi-function key used to enter a height for calcu-
lation of volume (if a length and width are also entered). Consecutive presses of this key displays or calculates:
Press Result
1 Displays Entered Height 2 Volume 3 Area 4 Square-up 5 Perimeter 6 Wall Area 7 Total Room Area 8 Redisplays Entered Length 9 Redisplays Entered Width
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Weight Keys
Ç 1
Kilograms (kg)
— Enters or converts (a weight or
volume value) to
kilograms
. Adimensioned volume will convert using the stored weight per volume value.
Ç 3
Metric Tons (met tons)
— Enters or converts (a
weight or volume value) to
Metric tons
. Adimen­sioned volume will convert using the stored weight per volume value.
Ç 4
Pounds (lbs)
— Enters or converts (a weight or vol-
ume value) to
pounds
. Adimensioned volume will
convert using the stored weight per volume value.
Ç 6
Tons
— Enters or converts (a weight or volume
value) to
tons
. Adimensioned volume will convert
using the stored weight per volume value.
ß 0
Store Weight per Volume
— Stores a new
weight
per volume
value as tons per cubic yard or other for-
mat, as listed below:
Note: After entering a value and pressing
ß 0
, continue pressing the 0digit key until you’ve reached the desired weight per volume format. To recall your setting, press
® 0
.
• Ton Per CU YD
• LB Per CU YD
• LB Per CU FEET
• MET Ton Per CU M
• kG Per CU M This value is permanently stored until you change it
or perform a
Clear All
(Ç x).
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Construction Project Keys
The following Construction Project Keys help you instantly figure quantities and costs of materials, so you can build like a pro!
Block/Brick Keys (NOT AVAILABLE ON TRIG MODEL #4080)
The
Blocks
function helps you quickly estimate the quantity of blocks
or bricks required for building walls, walkways or other areas.
Ç l
Number of Blocks or Bricks
— Calculates the total
number of concrete
blocks
required to fill a given
area.
Uses a standard block/mortar area of 128
square inches.
This key can also be used for calcu­lating the number of “face” or “paver” bricks by stor­ing a brick size (see below).
ß 4
Store Block or Brick Size (Blk Area)
— Used to
store a size
other than the default block size of 128
square inches
(e.g., 1 2 0 i i ß 4 stores a size of 120 square inches). This value is permanently stored until you change it or perform a Clear All (Ç x). To recall the stored setting, press ® 4.
Note: For Brick Estimates — You may also enter a brick size using
ß 4
. For example, when building with standard “face”
bricks, enter a brick size of 21 square inches (
2 1 i i
ß 4
) or store a “paver” brick size of 32 square inches (
3 2
i i ß 4
; based on Modular U.S. brick size of 3-5/8 inch­es x 2-1/4 inches x 7-5/8 inches, including 3/8 inch mortar = 4 inches x 2-5/8 inches x 8 inches).
Circular/Arc Function Keys
The circle key helps you quickly solve circular area, volume or arc problems.
C
Circle
— Displays and calculates the following val-
ues, given an entered circle diameter* or radius:
• diameter
• circle area
• circumference
*To enter a diameter (e.g., 10 feet), press
1 0 f C
.
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Ç a
Radius
— Enters or calculates the
circle radius
(e.g., 5 f Ç a).
a
Arc Length or Degree of Arc
— Amulti-function
key that enters or calculates
arc length
or
degree of
arc
, and further solves for additional circular/arc val­ues, including arched rake-walls (based on the stored on-center spacing), listed below.
If a circle diameter is entered into the C key and arc degree (or arc length) entered into the a key, further presses of a will display and calculate the following:
Press Result
1 Arc Length or Degree of Arc 2 Chord Length 3 Segment Area 4 Pie Slice Area 5 Segment Rise 6 Stored On-Center Spacing 7 Length of Arched Wall 1 8 Length of Arched Wall 2 9 Length of Arched Wall 3 (if applicable), etc.*
*Note: The calculator will calculate arched rake-wall stud sizes with consecutive presses of the akey until it reaches the last stud.
R
Run (Chord Length)
— Enters or calculates the
chord length
. Used in conjunction with an entered segment rise to solve for the radius of a circle or with an entered radius to solve for the segment rise.
r
Rise (Segment Rise)
— Enters or calculates the
segment rise
. Used in conjunction with an entered chord length to solve for the radius of a circle or with an entered radius to solve for the chord length.
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Column/Cone Key
The Column and Cone functions help you quickly estimate volume and surface area of columns or cones.
Ç C
Column and Cone
— With an entered diameter and rise, the first and second presses of C (follow­ing Ç) will calculate the total volume and surface area of a
column
; the third and fourth consecutive presses of C calculate the total volume and sur­face area of a
cone
.
Compound Miter/Crown Moulding Keys
The
Construction Master Pro
also calculates compound miter cut angle solutions for cutting and installing crown moulding on a wall. The Compound Miter function can also be used for finding angle cuts for many types of compound miter problems, such as siding, railing and trim.
Â
Compound Miter
— With an entered crown angle and wall corner angle*, consecutive presses of  will calculate the following:
Press Result
1 Miter Gauge (0° reference) 2 Miter Gauge Angle (90° reference) 3 Blade Tilt Angle 4 Butt Blade Tilt Angle 5 Redisplays Stored Crown Angle 6 Redisplays Entered Wall Angle
*Note: Wall Angle entries of less than 25 into Âwill be assumed to be the number of sides; in this case, the calculator will calcu­late the unknown Wall Angle first, then proceed with the above angle calculations.
ß Â
Store Crown Angle
— Stores a value
other than
the default crown angle of 45°
(e.g., 3 8 ß Â stores 38° crown angle). This value is permanently stored until you change it or perform a
Clear All
(Ç x). To recall the stored setting, press ® Â.
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Drywall Keys (NOT AVAILABLE ON TRIG MODEL #4080)
Ç h
Drywall Sheets
— Calculates the number of 4x8,
4x9, and 4x12
sheets
for an entered or calculated
area.
Footing Keys (NOT AVAILABLE ON TRIG MODEL #4080)
The Footing keys help you quickly estimate the volume of concrete required for concrete footings.
Ç W
Footing
— Calculates total quantity of concrete
required for
concrete footings
based on an entered wall length and footing size. Size based on the default footing size of 1.8 square feet or 259.2 square inches (industry standard).
ß 6
Store Footing Area
— Used to store a value
other
than the default footing size of 1.8 square feet
(e.g., 1 2 8 i i ß 6 stores a footing size of 128 square inches). This value is permanently stored until you change it or perform a
Clear All
(Ç x).
To recall the stored setting, press ® 6.
Polygon Key
The Polygon function is handy for calculating multi-sided shapes (such as found in concrete applications).
Ç R
Polygon
— With an entered radius and number of sides of a polygon-shaped figure, Ç R, calcu­lates the following:
Press Result
1 Full Angle 2 Bi-Sect, or Half Angle 3 Side Length 4 Perimeter of Polygon 5 Area of Polygon 6 Redisplays Entered Radius 7 Redisplays Entered Number of Sides
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Right Triangle/Roof Framing Keys Right Triangle:
Using the Pythagorean theorem, the top row of keys on your
Construction Master Pro
will calculate instant solutions in dimensional
format to right triangle problems (particularly, roof framing). The
Construction Master Pro’s
keys are labeled in easy to remember roofing terms. The right triangle is calculated simply by entering two of four variables: rise, run, diagonal, or pitch.
p Enters or calculates the
pitch
(slope) of a roof (or right triangle). Pitch is the amount of “rise” over 12 inches (or 1 meter) of “run.” Pitch may be entered as:
• a dimension: 9 i p
• an angle or degrees: 3 0 p
• a percentage (percent grade): 7 5 % p
• a pitch ratio: 0 • 7 5 Ç p Once a pitch in one of the above formats is entered,
consecutive presses of p will convert to the remaining pitch formats listed above (e.g., pitch in inches will convert to pitch degrees, percent grade and pitch ratio/slope).
Note: An entered (vs. calculated) pitch is a permanent entry. This means that it will remain stored even after you turn the calculator off. To change the pitch, simply enter a new pitch value.
In contrast, a calculated pitch value is not permanently stored. This means that the calculator will return to the pitch value you last entered when you clear the calculator or press otwice.
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Ç p
Pitch Ratio or Slope
— Enters the
pitch
as a ratio
or
slope
of a roof (or right triangle). For example,
0.58 slope is entered as • 5 8 Ç p.
r Enters or calculates the
rise
or vertical leg (height)
of a right triangle.
R Enters or calculates the
run
or horizontal leg (base)
of a right triangle.
d
Diagonal
— Enters or calculates the
diagonal
leg (hypotenuse) of a right triangle. Typical applications are “squaring up” slabs or finding common rafter lengths. Additional presses of the d key will also display plumb and level cut angles in degrees.
Note: The Common rafter calculation is the “point-to-point” length and does not include the overhang or ridge adjustment.
Hip/Valley and Jack Rafter Keys
The
Construction Master Pro
uses the rise, run, diagonal, pitch and
on-center spacing values to calculate
regular
and
irregular
hip/valley
and jack rafter lengths (excluding wood thickness, etc.).
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When calculating regular and irregular jack rafter lengths, you will see the letters “JK” (regular pitch side) or “IJ” (irregular pitch side) and the corresponding jack number to the left of your calculator dis­play. This will help you keep track of the descending sizes and which side the corresponding rafter is based on.
H
Hip/Valley Rafter
— Finds the regular or irregular
hip/valley
rafter length.
Regular Hip/Valley Length: After right triangle/rafter values are entered or calculated (e.g., pitch, rise, run), pressing H will calcu­late the length of the
regular
hip/valley rafter.
Irregular Hip/Valley Length: If an irregular pitch is entered (see next definition), pressing H will calculate the
irregular
hip/valley rafter length. (An irregular or “non-standard” roof has two different pitches/slopes.)
Subsequent presses of the H key will also display plumb, level, and cheek cut angle values in degrees.
Ç H
Irregular Pitch
— Enters the irregular or secondary pitch value used to calculate lengths of the irregular hip/valley and jack rafters.
You may enter the irregular pitch as:
• a dimension: 9 i Ç H
• an angle: 3 0 Ç H
• a percentage: 7 5 % Ç H
Note: An entered irregular pitch can be recalled by pressing
®
Ç H
.
j
Jack Rafters
— Finds the descending
Jack
rafter
sizes for
regular
pitched roofs, based on the stored on-center spacing and previously entered or calcu­lated right triangle/rafter values (e.g., pitch, rise, run).
Repeated presses of the jkey will display all the rafter sizes (on the regular pitch side) as well as display the plumb, level, and cheek cut angle values. Additional presses will display the rafter sizes on the irregular pitch side (if an irregular pitch was entered; see above), or repeat the previously displayed values.
(Cont’d)
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(Cont’d)
Note: You may set your calculator to display the jack rafter lengths in either ascending or descending order (see Preference Settings on page 89).
Note: You may program your calculator to “mate up” with the jack rafters, rather than using the entered or default on-center spacing for both sides (see Preference Settings on page 89).
ß 5
Store On-Center (o.c.) Spacing
— Used to store a
value
other than the default of 16 inches on-center
(e.g., 1 8 i ß 5 stores an 18-inch on-center) for Jack Rafter calculations. Press ® 5 to review the stored value.
Ç j
Irregular Side Jacks
— Operates same as j,
but displays the rafter values from the
irregular
pitched side first.
Rake-Wall Function
Ç r
Rake-Wall
— This function finds the stud sizes in a
rake-wall
based on calculated or entered values for pitch, rise and/or run. Repeated presses of r will display the various sizes. The sizes can be displayed in either descending (from longest to shortest) or ascending (from shortest to the longest) order, depending upon your preference setting (see Preference Settings on page 89). If a dimensional value is entered before pressing Ç r, this value will be taken as the rake-wall base size and auto­matically added to the various rafter lengths.
ß 5
Store On-Center (o.c.) Spacing
— Used to store a
value
other than the default of 16 inches on-center
(e.g., 1 8 i ß 5 stores an 18-inch on-center) for rake-wall stud calculations. Press ® 5 to review the stored value.
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Roof Materials/Covering Keys
The
Construction Master Pro's Roof
function provides a quick calcu­lation of roof area, number of squares and bundles, and number of 4x8 sheets required for roof coverage.
Ç d
Roof
— Given an entered pitch (or rise and run) and plan area (or Length and Width), calculates the following:
Press Result
1 Roof Area 2 Number of Roof Squares 3 Number of Roof Bundles 4 Roof Bundle Size* 5 Number of 4x8 Sheets 6 Stored Pitch 7 Entered or Calculated Plan Area
*Note: Roof bundle size is 33.33 square feet.
Stair Key
The
Construction Master Pro
easily calculates stair layout solutions. With entered values for floor-to-floor rise and/or run, it will calculate riser, tread, stringer, and incline angle values simply by pressing the
s key. s A multi-function key that uses a stored riser height,
stored tread width, stored headroom height and floor thickness, and entered rise and run values to calcu­late and display the following:
Press Result
1 Actual Riser Height (R-HT) 2 Number of Risers (RSRS) 3 Riser Overage/Underage (R+/-) 4 Tread Width (T-WD) 5 Number of Treads (TRDS) 6 Tread Overage/Underage (T+/-) 7 Stairwell Opening (OPEN) 8 Stringer Length (STRG) 9 Incline Angle* (INCL) 10 Run of Treads (RUN) 11 Floor-to-Floor Rise (RISE)
(Cont’d)
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(Cont’d)
Press Result
12 Stored (Desired) Riser Height (R-HT STORED) 13 Stored (Desired) Tread Width (T -WD STORED) 14 Stored Headroom (HDRM STORED) 15 Stored Floor Thickness (FLOR STORED)
Note: Default values are 7-1/2 inches for Desired Riser Height and 10 inches for Desired Tread Width, 10 inches for Floor Thickness, and 6 feet 8 inches for Headroom Height.
Note: It is not possible for the calculator to include the nose/over­hang measurement. Thus, you need to adjust for this measure­ment per local codes.
*Note: If the inclination angle exceeds the stored riser height and tread width ratio by 10%, the yield symbol will appear, indicating a steep incline.
ß 7
Store Desired Riser Height
— Stores a value
other than the default desired stair riser height of 7-1/2 inches
(e.g., 8 i ß 7 stores an 8-inch desired
stair riser height). To recall the stored setting, press
® 7.
ß 8
Store Floor Thickness/Height
— Stores a value
other than the default desired floor thickness of 10 inches
(e.g., 8 i ß 8 stores an 8-inch desired floor thickness). To recall the stored setting, press ® 8. This is used, along with stored headroom height, for calculating the length of the stairwell opening.
ß 9
Store Desired Tread Width
— Stores a value
other
than the default desired stair tread width of 10 inches
(e.g., 1 2 i ß 9 stores a 12-inch desired stair tread width). To recall the stored setting, press
® 9.
Ç ß ß
Store Headroom Height
— Stores the desired
ß ß headroom height for calculation of the stairwell
opening.
Default is 6 feet 8 inches.
Use the + key to increase and the – key to decrease the stored headroom height. See Preference Settings instruc­tions on page 89.
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Ç s
Riser Limited
— Used for situations when the riser height is limited by local code. When you press Ç s, the calculator will recalculate stair values so that the actual riser height will not exceed your
stored
desired riser height (e.g., it will never exceed the stored desired riser height of 7-1/2 inches, if 7-1/2 inches is the value stored using ß 7). To compensate for this limitation, the calculator will add one to the number of risers.
Studs
The
Construction Master Pro
also calculates the number of studs required for a wall using an entered length and stored on-center spacing value.
Ç 5
Studs
— Calculates the number of
studs
for an entered or displayed linear value. Based on the stored on-center spacing (16 inches is the default).
Trigonometric Keys (TRIG #4080 AND DESKTOP #44080 MODELS ONLY)
Tangent Ø = Opposite
Adjacent
Sine Ø = Opposite
Hypotenuse
Cosine Ø = Adjacent
Hypotenuse
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The
Trig
model (#4080) and
Desktop
(#44080) calculators have standard trigonometric keys, in addition to right triangle/rafter keys (e.g., rise, run, diagonal), for advanced right triangle mathematics.
The sine, cosine and tangent of an angle are defined in relation to the sides of a right triangle.
Using the Ç key with the trigonometric function displays the inverse (arcsine, arccosine, and arctangent). These are used to find the angle for the sine, cosine, or tangent value entered.
S
Sine Function
— Calculates the
sine
of an entered
degree or non-dimensioned* value.
Ç S
Arcsine (sin -1)
— Calculates the angle for the
entered or calculated sine value.
ç
Cosine Function
— Calculates the
cosine
of a
degree or non-dimensioned* value.
Ç ç
Arccosine (cos -1)
— Calculates the angle for the
entered or calculated cosine value.
t
Tangent Function
— Calculates the
tangent
of a
degree or non-dimensioned* value.
Ç t
Arctangent (tan -1)
— Calculates the angle for the
entered or calculated tangent value.
*Note: Cannot use on dimensioned values.
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ENTERING DIMENSIONS
Entering Linear Dimensions
When entering feet-inch-fraction values, enter dimensions from largest to smallest — e.g., feet before inches, and inches before fractions. Enter fractions by entering the numerator (top), pressing / (fraction bar key), and then the denominator (bottom).
Note: If a denominator is not entered, the fractional setting value is used.
Examples of Entering Linear Dimensions:
DIMENSION KEYSTROKES
Clear calculator
o
5 Feet 1-1/2 Inch 5 f 1 i 1 / 2
Clear calculator
o
5 Yards 5 y
Clear calculator
o
17.5 Meters 1 7 • 5 m
Entering Square/Cubic Dimensions
The
Construction Master Pro
lets you easily enter square and cubic
values. Simply press a dimensional unit key
two
times to label a
number as a square value, or
three
times to label a cubic value.
Note: If you pass the desired dimensional format, keep on pressing the dimensional unit key until the desired result is displayed again.
Enter square and cubic dimensions in the following order: (1) Enter numerical value (e.g., 1 0 0).
(2) Press desired unit key (e.g., f) to label value as “linear.”
KEYSTROKE DISPLAY
o o 0. 1 0 0 f 100 FEET
(3) Second press of unit key (e.g., f f) labels value as “square.”
KEYSTROKE DISPLAY
o o 0. 1 0 0 f f 100 SQ FEET
(4) Third press of unit key (e.g., f f f) labels value as “cubic.”
KEYSTROKE DISPLAY
o o 0. 1 0 0 f f f 100 CU FEET
Note: Feet-Inches format cannot be used to enter square or cubic values.
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Examples of Entering Square and Cubic Dimensions:
YARDS
y y
Square Yards
(e.g., 5 y y will display 5. SQ YD).
y y y
Cubic Yards
(e.g., 5 y y y will display 5. CU YD).
FEET
f f
Square Feet
(e.g., 5 f f will display 5. SQ FEET).
f f f
Cubic Feet
(e.g., 5 f f f will display 5. CU FEET).
INCHES
i i
Square Inches
(e.g., 5 i i will display 5. SQ INCH).
i i i
Cubic Inches
(e.g., 5 i i i will display 5. CU INCH).
METERS
m m
Square Meters
(e.g., 5 m m will display 5. SQ M).
m m m
Cubic Meters
(e.g., 5 m m m will display 5. CU M).
CENTIMETERS
Ç 7 7
Square Centimeters
(e.g., 5 Ç 7 7 will display 5. SQ CM).
Ç 7 7 7
Cubic Centimeters
(e.g., 5 Ç 7 7 7 will display 5. CU CM).
MILLIMETERS
Ç 9 9
Square Millimeters
(e.g., 5 Ç 9 9 will display 5. SQ MM).
Ç 9 9 9
Cubic Millimeters
(e.g., 5 Ç 9 9 9 will display 5. CU MM).
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SETTING FRACTIONAL RESOLUTION
The
Construction Master Pro
is set to display fractional answers in 16ths of an inch. All examples in this User’s Guide are based on 1/16”. However, you may select the fractional resolution to be dis­played in other formats (e.g., 1/64”, 1/32”, etc.). The two methods of changing fractional resolution are shown below.
Setting Fractional Resolution —
Using the Preference Setting Mode
KEYSTROKE DISPLAY
1. Access Preference Settings:
Ç ß FRAC 0-1/16 INCH*
2. Access Next Fraction Subsetting:
+ FRAC 0-1/32 INCH + FRAC 0-1/64 INCH + FRAC 0-1/2 INCH + FRAC 0-1/4 INCH + FRAC 0-1/8 INCH +
(returns to 16ths)
FRAC 0-1/16 INCH
3. To Permanently Set the Fractional Resolution You Have Selected Above, press
o
(or any key) to set the displayed Fractional
Resolution and Exit Preference Settings.
o 0.
4. To Recall Your Selected Fractional Resolution:
® / STD 0-1/16 INCH
* 1/16” is the default setting. The display may differ from the example depending on what the resolution is currently set to.
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Setting Fractional Resolution —
Using
Ç
KEYSTROKE DISPLAY
1. Clear calculator:
o o 0.00
2. Set calculator to 1/2:
Ç 2 FRAC 0-1/2 INCH
3. Set calculator to 1/32:
Ç 3 FRAC 0-1/32 INCH
4. Set calculator to 1/4:
Ç 4 FRAC 0-1/4 INCH
5. Set calculator to 1/64:
Ç 6 FRAC 0-1/ 64 INCH
6. Set calculator to 1/8:
Ç 8 FRAC 0-1/8 INCH
7. Return calculator to 1/16:
Ç 1 FRAC 0-1/16 INCH
Note: Display will flash the new fractional setting for one second.
Converting a Fractional Value to a Different Resolution
Add 44/64th to 1/64th of an inch and then convert the answer to other fractional resolutions:
KEYSTROKE DISPLAY
o o 0. 4 4 / 6 4 0-44/64 INCH + 1 / 6 4 = 0-45/64 Ç 1
(1/16)
0-11/16
Ç 2
(1/2)
0-1/2
Ç 3
(1/32)
0-23/32
Ç 4
(1/4)
0-3/4
Ç 6
(1/64)
0-45/64
Ç 8
(1/8)
0-3/4
o o* 0.
*Changing the Fractional Resolution on a displayed value does not alter your Fractional Resolution Setting.
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Setting Fixed/Constant Fractional Resolution
You can also program your calculator so that the displayed fraction will
always
show in the fractional resolution you have set (following the above instructions). That is, instead of solving for the closest fraction, it will always display the chosen fractional resolution. For example, if you have chosen 1/64ths via Ç 6, 1/2 will be displayed as 32/64.
If you do not use this feature, Standard Fractional Resolution will be displayed. In other words, in the above example, 1/2 will be displayed as 1/2.
To change your calculator to Fixed (or Constant) Fractional Resolution:
1) Turn off your calculator; 2) hold down the fraction bar /, then; 3) Turn your calculator back on.
To display your setting, press ® / and it will read “CNST” and whatever fractional resolution you’ve selected (e.g., CNST 0-1/64 INCH).
To return your calculator to the default 1/16” Standard Fractional Resolution, repeat the above steps, then press Ç 1. Press ® / to display your setting. In this case, it will read “STD 0 1/16 INCH.”
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CONVERSIONS (LINEAR, AREA,VOLUME)
Linear Conversions
Convert 14 feet to other dimensions:
KEYSTROKE DISPLAY
o o 0. 1 4 f 14 FEET Ç y 4.666667 YD f 14 FEET 0 INCH i 168 INCH m 4.267 M Ç 7
(cm)
426.720 CM
Ç 9
(mm)
4267.200 MM
Note: When performing multiple conversions, you only have to press the Çkey once except when accessing secondary functions, such as
Ç 7
for centimeters.
Converting Feet-Inch-Fractions to Decimal Feet
Convert 15 feet 9-1/2 inches to decimal feet. Then convert back to feet-inch-fractions.
KEYSTROKE DISPLAY
o o 0. 1 5 f 9 i 1 / 2 15 FEET 9-1/2 INCH Ç f 15.79167 FEET f* 15 FEET 9-1/2 INCH
Converting Decimal Feet to Feet-Inch-Fractions
Convert 17.32 feet to feet-inch-fractions.
KEYSTROKE DISPLAY
o o 0. 1 7 • 3 2 f 17.32
FEET
Ç f 17 FEET 3-13/16 INCH f* 17.32 FEET
*Repeated presses of for iwill toggle between Feet-Inch-Fractions and Decimal Feet or Inches.
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Converting Fractional Inches to Decimal Inches
Convert 8-1/8 inches to decimal inches. Then convert to decimal feet.
KEYSTROKE DISPLAY
o o 0. 8 i 1 / 8 8-1/8 INCH Ç i 8.125 INCH f 0.677083 FEET i* 8.125 INCH
Converting Decimal Inches to Fractional Inches
Convert 9.0625 inches to fractional inches. Then convert to decimal feet.
KEYSTROKE DISPLAY
o o 0. 9 • 0 6 2 5 i 9.0625 INCH Ç i 9-1/16 INCH f f* 0.755208 FEET
*Repeated presses of for iwill toggle between Feet-Inch-Fractions and Decimal Feet or Inches.
Square Conversions
Convert 14 square feet to other square dimensions:
KEYSTROKE DISPLAY
o o 0. 1 4 f f 14. SQ FEET Ç i 2016. SQ INCH y 1.555556 SQ YD m 1.300643 SQ M Ç 7
(cm)
13006.43 SQ CM
Cubic Conversions
Convert 14 cubic feet to other cubic dimensions:
KEYSTROKE DISPLAY
o o 0. 1 4 f f f 14. CU FEET Ç i 24192. CU INCH y 0.518519 CU YD m 0.396436 CU M
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PERFORMING BASIC MATH WITH DIMENSIONS
Adding Dimensions
KEYSTROKE DISPLAY
Add 11 inches to 2 feet 1 inch:
1 1 i + 2 f 1 i = 3 FEET 0 INCH
Add 5 feet 7-1/2 inches to 18 feet 8 inches:
5 f 7 i 1 / 2 + 1 8 f 8 i =
24
FEET 3-1/2 INCH
Subtracting Dimensions
KEYSTROKE DISPLAY
Subtract 3 feet from 11 feet 7-1/2 inches:
1 1 f 7 i 1 / 2 – 3 f = 8
FEET 7-1/2 INCH
Subtract 32 inches from 81 inches:
8 1 i – 3 2 i = 49 INCH
Multiplying Dimensions
KEYSTROKE DISPLAY
Multiply 5 feet 3 inches by 11 feet 6-1/2 inches:
5 f 3 i x 1 1 f 6 i 1 / 2 =
60.59375 SQ FEET
Multiply 2 feet 7 inches by 10:
2 f 7 i x 1 0 = 25 FEET 10 INCH
Dividing Dimensions
KEYSTROKE DISPLAY
Divide 30 feet 4 inches by 7 inches:
3 0 f 4 i ÷ 7 i = 52.
Divide 20 feet 3 inches by 9:
2 0 f 3 i ÷ 9 = 2 FEET 3 INCH
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Percentage Calculations
The percent % key is used to find a given percent of a number or to perform add-on, discount or division percentage calculations. You may also perform percentage calculations with dimensional units (feet, inch, etc.), in any format (linear, square or cubic).
Examples:
KEYSTROKE DISPLAY
Find 18% of 500 feet:
5 0 0 f x 1 8 % 90 FEET 0 INCH
Add 10% to 137 square feet:
1 3 7 f f + 1 0 % 150.7 SQ FEET
Subtract 20% from 552 feet 6 inches:
5 5 2 f 6 i – 2 0 % 442 FEET 0 INCH
Divide 350 cubic yards by 80%:
3 5 0 y y y ÷ 8 0 % 437.5 CU YD
MEMORY OPERATION
Your calculator has two types of Memory operations:
1) a standard, cumulative, semi-permanent memory µ; and
2) three storage registers [M1], [M2], and [M3], used to perma­nently store single, non-cumulative values.
Memory commands are listed below.
FUNCTION KEYSTROKES
µ:
Add value to M+ µ Subtract value from M+ Ç µ Clear M+ Ç ® Display and Clear M+ ® ® Recall stored value ® µ
M1/M2/M3:
Store single value in M1 ß 1 Store single value in M2 ß 2 Store single value in M3 ß 3 Clear register M1 0 ß 1
(Cont’d)
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(Cont’d)
FUNCTION KEYSTROKES
Clear register M2 0 ß 2 Clear register M3 0 ß 3
Recall stored value in M1 ® 1 Recall stored value in M2 ® 2 Recall stored value in M3 ® 3
Basic Cumulative Memory (M+)
Example:
Store 100 into M+, add 200, and then subtract 50. Clear the Memory:
KEYSTROKE DISPLAY
1 0 0 µ M+ 100. 2 0 0 µ M+ 200. 5 0 Ç µ M- 50. ® ® M+ 250.
Note: To Clear Memory (M+):
- press
® ®
;
-
Ç ®
; or
- turn off the calculator.
Permanent Storage Registers (M1 and M2)
Examples:
Store a rate of $175 into M1 and recall the value:
KEYSTROKE DISPLAY
1 7 5 ß 1 M-1 175. O o 0. ® 1 M-1 STORED 175.
Store 1,575 square yards into M2 and recall the value:
KEYSTROKE DISPLAY
1 5 7 5 y y ß 2 M-2 1575. SQ YD O o 0. ® 2 M-2 STORED 1575. SQ YD
Note: To Clear M1-M3: Values stored in M1-M3 will remain permanently stored, even after you turn the calculator off. You will never need to clear the storage registers; simply enter a new value. However, if you wish to clear M1-M3 to “zero”:
- Enter
0 ß 1, 0 ß 2
, or
0 ß 3
OR
Ç x
to clear all registers
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PAPERLESS TAPE OPERATION
Note: Not available on DT (Desktop) Printer — Model #44065.
The Paperless Tape allows you to display and review the last twenty entries of a regular math or basic dimensional math string calculation.
To access this mode after entering values, press ® =. Then, press + or – to scroll forward or backward through the entries.
While in the Paperless Tape mode, the display will show the previously entered or calculated value, along with the sequential number of entry (e.g., 01, 02, 03, etc.) and the math operator (+, –, x, ÷, %) in the upper left corner of the display.
Note: If =has been used in the middle of a string, SUB (for Subtotal) will display in the upper left. If =was the last operation performed, the display will show TTL (Total) as the last entry.
To exit this mode, press = to exit and maintain the last entry on the display. When exiting, the last entry (or TTL) will be displayed, allow­ing you to continue using the last tape value for another operation, if desired.
Note: The Paperless Tape is cleared when:
- ois pressed twice;
- upon a new calculation (new equation string is started); or
- when the calculator is shut off.
Example:
KEYSTROKE DISPLAY
1. Enter a string of numbers:
4 f + 4 FEET 0 INCH 5 f + 9 FEET 0 INCH 6 f + 15 FEET 0 INCH 7 f = 22 FEET 0 INCH
2. Access the tape function:
® = TTL= 22 FEET 0 INCH
3. Scroll from first value to total:
+ 01 4 FEET 0 INCH + 02+ 5 FEET 0 INCH + 03+ 6 FEET 0 INCH + 04+ 7 FEET 0 INCH + TTL = 22 FEET 0 INCH
(Cont’d)
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(Cont’d)
KEYSTROKE DISPLAY
4. Scroll last two values:
04+ 7 FEET 0 INCH 03+ 6 FEET 0 INCH
5. Exit tape function and continue:
= TTL= 22 FEET 0 INCH + 22 FEET 0 INCH 2 f = 24 FEET 0 INCH
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The
Construction Master Pro
calculators have keys and functions labeled in common building terms. Just follow the examples and adapt the keystrokes to your specific application.
Please note that some of the following examples will not apply to your specific calculator model. For example, the
Trig Model
(#4080) has trigonometry functions, but does not have l, W or h keys, or
Block, Footing
or
Drywall
functions.
It is good practice to clear your calculator (press o twice) before beginning each problem. And remember to use the Backspace B key to correct entries one entry at a time.
LINEAR MEASUREMENT EXAMPLES
Adding Linear Measurements
Find the total length of the following measurements: 5 feet 4-1/2 inches, 8 inches and 3.5 yards.
KEYSTROKE DISPLAY
1. Add the measurements:
o o 0. 5 f 4 i 1 / 2 + 5 FEET 4-1/2 INCH 8 i + 6 FEET 0-1/2 INCH 3 • 5 y 3.5 YD
2. Find the total:
= 16 FEET 6-1/2 INCH
Cutting Boards
How many 2 foot 2 inch pieces can be cut from one 10-foot board?
KEYSTROKE DISPLAY
Divide board length by smaller cuts:
o o 0. 1 0 f 10 FEET ÷ 2 f 2 i = 4.615385
(4 whole pieces)
EXAMPLES —
USING THE CONSTRUCTION
MASTER PRO
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Window Measurement
What is the total width of three window openings, if each measures 2 feet 5 inches in width?
KEYSTROKE DISPLAY
1. Enter window width:
o o 0. 2 f 5 i 2 FEET 5 INCH
2. Find total width:
x 3 = 7 FEET 3 INCH
3. Convert to decimal feet:
f 7.25 FEET
Calculating the Center Point
You have a room that measures 13 feet 8 inches by 14 feet 10 inch­es. Find the center point to install a ceiling fan.
KEYSTROKE DISPLAY
1. Divide length in half, to figure first center point:
o o 0. 1 3 f 8 i 13 FEET 8 INCH ÷ 2 = 6 FEET 10 INCH
2. Divide width in half, to figure second center point:
1 4 f 1 0 i 14 FEET 10 INCH ÷ 2 = 7 FEET 5 INCH
Therefore, you should install the fan at the intersection of 6 feet 10 inches length and 7 feet 5 inches width.
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AREA CALCULATIONS
Square Area (x2)
What is the area of a square room with sides measuring 7 feet 4 inches?
KEYSTROKE DISPLAY
o o 0. 7 f 4 i Ç %
(x2)
53.77778 SQ FEET
Area of a Rectangular Room (LxW)
What is the area of a room measuring 12 feet 6 inches by 15 feet 8 inches?
KEYSTROKE DISPLAY
o o 0. 1 2 f 6 i 12 FEET 6 INCH x 1 5 f 8 i = 195.8333 SQ FEET
*Note: You can also find area using the land Wkeys as seen in the next prob­lem. However, these keys are not available on the Trig Model (#4080).
Using Multi-Function W Key to Find Area, Square-up and Perimeter (NOT AVAILABLE ON TRIG MODEL #4080)
Find the area, square-up and perimeter of a space measuring 20 feet 6 inches by 25 feet 6 inches:
KEYSTROKE DISPLAY
o o 0. 2 0 f 6 i l LNTH 20 FEET 6 INCH 2 5 f 6 i W WDTH 25 FEET 6 INCH W AREA 522.75 SQ FEET W SQUP 32 FEET 8-5/8 INCH W PER 92 FEET 0 INCH
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VOLUME CALCULATIONS
Rectangular Containers (LxWxH)
What is the volume of a rectangular container that measures 3 feet by 1 foot 9-5/8 inches by 2 feet 4 inches?
KEYSTROKE DISPLAY
1. Find volume in cubic feet:
o o 0. 3 f 3 FEET x 1 f 9 i 5 / 8 1 FEET 9-5/8 INCH x 2 f 4 i = 12.61458 CU FEET*
2. Convert to cubic yards:
Ç y 0.467207 CU YD
*Note: If the “Volume Display Format” Preference Setting is set to cubic yards or cubic meters, your result will display accordingly. (See Preference Settings on page
89.)
Using the Multi-Function h Key to Find Volume, Area, Square­up, Perimeter,Wall Area and Room Area (NOT AVAILABLE ON TRIG
MODEL #4080)
Find the volume, area, square-up, perimeter, wall area and total sur­face/room area* if you have a length of 15 feet, width of 20 feet and height of 12 feet.
*Room Area includes 4 walls plus ceiling area.
KEYSTROKE DISPLAY
o o 0. 1 5 f l LNTH 15 FEET 0 INCH 2 0 f W WDTH 20 FEET 0 INCH 1 2 f h HGHT 12 FEET 0 INCH h VOL 3600. CU FEET h AREA 300. SQ FEET h SQUP 25 FEET 0 INCH h PER 70 FEET 0 INCH h WALL 840. SQ FEET h ROOM 1140. SQ FEET
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Volume of a Cylinder
Calculate the volume of a cylinder with a diameter of 2 feet 4 inches and a height of 4 feet 6 inches:
*Note: For a cylinder, use the Column function.
KEYSTROKE DISPLAY
1. Find circle area:
o o 0. 2 f 4 i 2 FEET 4 INCH C C AREA 4.276057 SQ FEET
2. Enter height (as rise) and find volume:
4 f 6 i r RISE 4 FEET 6 INCH
Ç C COL 19.24226 CU FEET
Volume of a Cone
Calculate the volume of a cone with a diameter of 3 feet 6 inches and a height of 5 feet:
KEYSTROKE DISPLAY
1. Find circle area:
o o 0. 3 f 6 i C DIA 3 FEET 6 INCH C AREA 9.621128 SQ FEET
2. Enter height (as rise) and find volume:*
5 f r RISE 5 FEET 0 INCH
Ç C C C* CONE 16.03521 CU FEET
*Note: To access Cone volume, you must press the Ckey three times after Ç.
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WEIGHT/VOLUME CONVERSIONS
Weight Conversions
Convert 2,500 pounds to kilograms, tons and metric tons:
KEYSTROKE DISPLAY
1. Enter pounds:
o o 0. 2 5 0 0 Ç 4
(lbs)
2500 LB
2. Convert to kilograms, tons and metric tons:
Ç 1
(kg)
1133.981 kG
Ç 6
(tons)
1.25 Ton
Ç 3
(met tons)
1.133981 MET Ton
Weight per Volume/Volume Conversions
Convert 5 cubic yards of concrete to pounds, tons and kilograms, if concrete weighs 1.5 tons per cubic yard.
KEYSTROKE DISPLAY
1. Store weight per volume:
o o 0. 1 • 5 ß 0*
(wt/vol)
1.5 Ton Per CU YD
2. Enter concrete volume:
5 y y y 5. CU YD
3. Convert to pounds, tons and kilograms:
Ç 4
(lbs)
15000. LB
Ç 6
(tons)
7.5 Ton
Ç 1
(kg)
6803.886 kG
*If calculator does not display Tons per Cubic Yard, keep pressing the 0key until the desired format is displayed (e.g., Ton Per CU YD, LB Per CU YD, LB Per CU FEET, MET Ton Per CU M, or kG Per CU M).
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BLOCKS/BRICKS (NOT AVAILABLE ON TRIG MODEL #4080)
Number of Blocks, Based on Calculated Area
You are building an “L” shaped retaining wall out of standard 8-inch x 16-inch size blocks
(Note: this is the default block size of 128 sq.
inches)
. One side of the retaining wall is 22 feet long, and the other side is 15 feet 8 inches long. The wall is to be 4 feet high. How many blocks are required to build this wall? Add a 5% waste allowance.
KEYSTROKE DISPLAY
1. Find total wall length:
o o 0. ® Ç 4* B--AR STORED 128. SQ INCH 2 2 f + 1 5 f 8 i = 37 FEET 8 INCH l 37 FEET 8 INCH
2. Enter wall height as width and find wall area:
4 f W 4 FEET 0 INCH W 150.6667 SQ FEET
3. Find the number of blocks and add 5% waste allowance:
Ç l BLKS 169.5 + 5 % 177.975
(178 Blocks)
*If ® Ç l
(Blocks)
does not result in 128 square inches, then
enter the following:
1 2 8 i i ß 4 B--AR STORED 128. SQ INCH
-OR-
8 i x 1 6 i = 128. SQ INCH ß 4 B--AR STORED 128. SQ INCH
Number of Blocks, Based on Entered Area
Find the number of blocks required for an area measuring 300 square feet. Add a 3% waste allowance.
KEYSTROKE DISPLAY
o o 0. 3 0 0 f f Ç l BLKS 337.5 + 3 % 347.625
(348 Blocks)
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Number of Blocks, Based on Calculated Perimeter
Calculate the wall’s perimeter if the length is 30 feet and width 45 feet. Then, find the number of blocks required. Add a 3% waste allowance.
KEYSTROKE DISPLAY
1. Find wall area:
o o 0. 3 0 f l LNTH 30 FEET 0 INCH 4 5 f W WDTH 45 FEET 0 INCH
2. Find the perimeter:
W W W PER 150 FEET 0 INCH
3. Find the number of blocks for the displayed perimeter, and add 3% waste allowance:
Ç l BLKS 112.50 + 3 % 115.875
(116 Blocks)
Number of Blocks, Based on Length
Calculate the number of blocks required for a length of 20 feet.
KEYSTROKE DISPLAY
1. Enter length then convert to number of blocks:
o o 0. 2 0 f Ç l BLKS 15.
2. Display the stored on-center*:
l BLK STORED 16 INCH
*The calculator will calculate the number of blocks based on the entered length and stored on-center.
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Number of “Face” Bricks
How many “face” bricks (21 square inch size) will you need to purchase to fill a 40 foot by 8 foot wall, if you include a 3% waste allowance? Use the Block function for calculating bricks.
KEYSTROKE DISPLAY
1. Enter and store brick size into Block Area storage key:
o o 0. 2 1 i i ß 4 B--AR STORED 21. SQ INCH
2. Find area of wall:
4 0 f l LNTH 40 FEET 0 INCH 8 f W W AREA 320. SQ FEET
3. Find the number of bricks and add a 3% waste allowance:
Ç l BLKS 2194.286 + 3 % 2260.114
(2261 Bricks)
4. Reset Block Area to default value:
1 2 8 i i ß 4 B--AR STORED 128. SQ INCH
Number of “Paver”Bricks
How many “paver” bricks (32 square inch size) will you need to fill a 5-foot by 15-foot walkway?
KEYSTROKE DISPLAY
1. Enter brick size into Block Area storage key:
o o 0. 3 2 i i ß 4 B--AR STORED 32. SQ INCH
2. Find area of walkway:
5 f l LNTH 5 FEET 0 INCH 1 5 f W W AREA 75. SQ FEET
3. Find the number of bricks:
Ç l BLKS 337.5
(338 Bricks)
4. Reset Block Area to default value:
1 2 8 i i ß 4 B--AR STORED 128. SQ INCH
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BOARD FEET —
LUMBER ESTIMATION
The
Construction Master Pro
easily calculates board feet for lumber estimation problems. Simply enter the board’s cubic dimensions and press Ç 8 to convert to board feet. Use Ç 0
(Cost)
to figure
total lumber cost.
Note: Unit cost is entered in the standard per thousand board foot measure (Mbm) format.
Total Board Feet —
With Dollar Cost
Find the total board feet for the following board sizes:
If the boards cost $250 per Mbm., what is the total cost?
KEYSTROKE DISPLAY
1. Enter board sizes, convert to board feet and store in memory:
o o 0. 2 x 4 x 14 Ç 8 µ BDFT 9.333333 2 x 1 0 x 1 6 Ç 8 µ BDFT 26.66667 2 x 1 2 x 1 8 Ç 8 µ BDFT 36.
2. Recall total board feet and calculate total cost:
® ® BDFT 72. x 2 5 0 Ç 0
(Cost)
$18.00
Number of Board Feet Based on Entered Volume
Find the number of board feet required for a volume of 150 cubic feet.
KEYSTROKE DISPLAY
Enter cubic feet and convert to board feet:
o o 0. 1 5 0 f f f 150. CU FEET Ç 8 BDFT 1800.
M
M
M
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CIRCLE AND ARC CALCULATIONS
Circumference and Area of a Circle
Find the area and circumference of a circle with a diameter of 11 inches:
KEYSTROKE DISPLAY
o o 0. 1 1 i C DIA 11 INCH C AREA 95.03318 SQ INCH C CIRC 34-9/16 INCH
Arc Length —
Degree and Diameter Known
Find the arc length of an 85° portion of a circle with a 5-foot diameter:
KEYSTROKE DISPLAY
o o 0. 5 f C DIA 5 FEET 0 INCH 8 5 a ARC 85.00° a ARC 3 FEET 8-1/2 INCH
Arc Length —
Degree and Radius Known
Find the arc length of a circle with a 24-inch radius and 77° of arc:
KEYSTROKE DISPLAY
o o 0. 2 4 i Ç a RAD 24
INCH
7 7 a ARC 77.00° a ARC 32-1/4 INCH
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Arc Calculations —
Arc Length and Diameter Known
Find the arc degree, chord length, segment rise, segment and pie slice area, and segment rise, given a 5-foot diameter and an arc length of 3 feet 3 inches:
KEYSTROKE DISPLAY
1. Enter circle diameter (Note: enter diameter into the Ckey):
o o 0. 5 f C DIA 5 FEET 0 INCH
2. Enter arc length:
3 f 3 i a ARC 3 FEET 3 INCH
3. Find degree of arc:
a ARC 74.48°
4. Find chord length:
a CORD 3 FEET 0-5/16 INCH
5. Find segment area:
a SEG 1.051381 SQ FEET
6. Find pie slice area:
a PIE 4.0625 SQ FEET
7. Find segment rise:
a RISE 0 FEET 6-1/8 INCH
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Arched/Circular Rake-Walls —
Chord Length and
Segment Rise Known
You’re building a circular or arched rake wall. Given a chord length of 15 feet and a rise of 5 feet, find all arc values and lengths of the arched walls. The on-center spacing is 16 inches.
KEYSTROKE DISPLAY
1. Enter chord length and segment rise:
o o 0. 1 5 f R RUN 15 FEET 0 INCH 5 f r RISE 5 FEET 0 INCH
2. Calculate radius:
Ç a RAD 8 FEET 1-1/2 INCH
3. Find arc angle:
a ARC 134.76º
4. Find arc length:
a ARC 19 FEET 1-5/16 INCH
5. Display entered chord length:
a CORD 15 FEET 0 INCH
6. Find segment area:
a SEG 54.19722 SQ FEET
7. Find pie slice area:
a PIE 77.63472 SQ FEET
8. Display entered segment rise:
a RISE 5 FEET 0 INCH
9. Display stored on-center spacing for the wall:
a OC 16 INCH*
(Cont’d)
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(Cont’d)
KEYSTROKE DISPLAY
10. Find arched wall stud lengths:
a AW1 4 FEET 10-11/16 INCH a AW2 4 FEET 6-5/8 INCH a AW3 3 FEET 11-3/8 INCH a AW4 3 FEET 0-1/16 INCH a AW5 1 FEET 6-1/4 INCH
Note: Successive presses of awill toggle to the beginning.
Arched Windows
Find the radius of an arched window with a chord length of 2 feet 7 inches and a rise of 10-1/2 inches. Then, find the arc angle, arc length and segment area of the window.
KEYSTROKE DISPLAY
1. Enter chord length:
o o 0. 2 f 7 i R RUN 2 FEET 7 INCH
2. Enter rise:
1 0 i 1 / 2 r RISE 10-1/2 INCH
3. Find radius:
Ç a RAD 16-11/16 INCH
4. Find arc angle:
a ARC 136.46°
5. Find arc length:
a ARC 39-3/4 INCH
6. Find segment area:
a a SEG 235.7767 SQ INCH
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COMPOUND MITER
Compound Miter Cuts
You’re installing crown moulding on the upper wall of your living room. If the wall corner angle is 60° and the crown angle is 38°, find the miter angle cut and blade tilt cuts.
KEYSTROKE DISPLAY
1. Enter and store crown angle:
o o 0. 3 8 ß Â CRWN STORED 38.00°
2. Enter wall (corner) angle and calculate miter gauge from 0°:
6 0 Â 0° 53.77°
3. Calculate miter gauge angle from 90°:
 90° 36.23°
4. Calculate blade tilt angle:
 MITR 32.22°
5. Calculate butt blade tilt angle:
 BUTT 45.92°
6. Display stored crown angle:
 CRWN STORED 38.00°
7. Display entered wall angle:
 WALL 60.00°
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CONCRETE/PAVING
Volume of Concrete for a Driveway
Find the cubic yards of concrete required to pour a driveway with the following dimensions: 36 feet 3 inches long by 11 feet 6 inches wide by 4 inches deep. If concrete costs $55 per cubic yard, what is the total cost?
KEYSTROKE DISPLAY
1. Multiply the length times the width to find the area:
o o 0. 3 6 f 3 i 36 FEET 3 INCH x 1 1 f 6 i 11 FEET 6 INCH = 416.875 SQ FEET
2. Multiply times the depth to find the volume:
x 4 i = 5.146605 CU YD*
3. Multiply times the per unit cost to find the total cost of concrete:
x 5 5 Ç 0
(Cost)
$283.06
*Note: This answer will automatically display in cubic yards due to the multiplication of mixed units, unless the preference setting for volume display has been changed from the default Standard Setting. (See Preference Settings on page 89.)
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Concrete Columns
Find the cubic yards of concrete required to pour five columns, if each has a diameter of 3 feet 4-1/2 inches and a height of 11 feet 6 inches. If the concrete weighs 1.75 tons per cubic yard, what is the total weight in tons? In pounds? In kilograms?
KEYSTROKE DISPLAY
1. Enter weight in tons per cubic yards:
1 • 7 5 ß 0 1.75 Ton Per CU YD
2. Enter diameter and find circle area:
o 0. 3 f 4 i 1 / 2 3 FEET 4-1/2 INCH C C AREA 8.946176 SQ FEET
3. Enter height and find total volume of concrete:
1 1 f 6 i r RISE 11 FEET 6 INCH Ç C
(Column/Cone)
COL 102.881 CU FEET
Ç y 3.810408 CU YD x 5 = 19.05204 CU YD
4. Convert volume to weight in tons, pounds, and kilograms:
Ç 6
(tons)
33.34107 Ton
Ç 4
(lbs)
66682.14 LB
Ç 1
(kg)
30246.51 kG
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Complex Concrete Volume
You’re going to pour an odd-shaped patio 4-1/2 inches deep with the dimensions shown below. Calculate the total area (by dividing the drawing into three rectangles) and determine the total yards of con­crete required. Then, find the total cost, if concrete costs $45 per cubic yard.
KEYSTROKE DISPLAY
1. Find area of Part A and store into Memory:
o o 0. 2 4 f 6 i – 24 FEET 6 INCH 7 f = 17 FEET 6 INCH x 2 7 f = 472.5 SQ FEET µ M+ 472.5 SQ FEET
2. Find area of Part B and store into Memory:
7 f 7 FEET x 9 f = 63. SQ FEET µ M+ 63. SQ FEET
3. Find area of Part C and store into Memory:
9 f 9 FEET x 9 f = 81. SQ FEET µ M+ 81. SQ FEET
(Cont’d)
M
M
M
M
M
M
M
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(Cont’d)
KEYSTROKE DISPLAY
4. Find total area and clear memory:
® ® M+ 616.5 SQ FEET
5. Find total cubic yards:
x 4 i 1 / 2 = 8.5625 CU YD
6. Find total cost:
x 4 5 Ç 0
(Cost)
$385.31
Polygon, Finding Angles Based on Entered Radius and Number of Sides
You’re going to pour a polygon-shaped patio. Find the polygon val­ues if the radius is 15 feet and the number of sides is 6.
KEYSTROKE DISPLAY
1. Enter radius and number of sides* to calculate the full angle:
o o 0. 1 5 f Ç a RAD 15 FEET 0 INCH 6 Ç R FULL 120.00*
2. Then calculate the bi-sect angle, side length, perimeter, and polygon area:
R HALF 60.00* R SIDE 15 FEET 0 INCH R PER 90 FEET 0 INCH R AREA 584.5671 SQ FEET
*Note: You must enter more than 3 sides for a multi-sided polygon figure or the calcu­lator will display “None.”
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Concrete Footings (NOT AVAILABLE ON TRIG MODEL #4080)
Find the volume of concrete required for a 16 inch by 8 inch footing that measures 232 feet 6 inches in length. Then find the volume of five columns of the same size.
KEYSTROKE DISPLAY
1. Calculate and store footing area:
o o 0. 1 6 i x 8 i = ß 6 STORED F-AR 128. SQ INCH
2. Enter length and find footing volume:
2 3 2 f 6 i Ç W FTG 7.654321 CU YD
To find the volume of multiple footings of the same size, multiply times the total number of footings:
3. Multiply by 5 footings to find total concrete volume:
x 5 = 38.27161 CU YD
4. Clear and return stored footing size to default:
Ç x ALL CLEARED
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Squaring-up a Foundation
A concrete foundation measures 45 feet 6 inches by 23 feet 8 inch­es. Find the diagonal measurement (square-up) to ensure the form is perfectly square.
KEYSTROKE DISPLAY
1. Enter sides as rise/run:
o o 0. 2 3 f 8 i r RISE 23 FEET 8 INCH 4 5 f 6 i R RUN 45 FEET 6 INCH
2. Find the square-up (diagonal):
d DIAG 51 FEET 3-7/16 INCH
Alternative Method using l and W keys (NOT AVAILABLE ON
TRIG MODEL #4080):
1. Enter sides as length and width:
o o 0. 2 3 f 8 i l LNTH 23 FEET 8 INCH 4 5 f 6 i W WDTH 45 FEET 6 INCH
2. Find the square-up (diagonal):
W W SQUP 51 FEET 3-7/16 INCH
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DRYWALL (NOT AVAILABLE ON TRIG MODEL #4080)
Number of Drywall Sheets for a Given Area
Find the number of 4x8, 4x9 and 4x12 sheets to cover an area of 150 square feet.
KEYSTROKE DISPLAY
1. Enter area:
o o 0. 1 5 0 f f 150. SQ FEET
2. Find the number of 4x8 sheets, 4x9 sheets and 4x12 sheets required:
Ç h 4X8 4.6875
(5 - 4x8 Sheets)
h 4X9 4.166667
(5 - 4x9 Sheets)
h 4X12 3.125
(4 - 4x12 Sheets)
h 150 SQ FEET
Number of Drywall Sheets for a Given Length
Find the number of 4x8, 4x9 and 4x12 sheets to cover a length of 40 feet.
KEYSTROKE DISPLAY
1. Enter length:
o o 0. 4 0 f 40 FEET
2. Find the number of 4x8 sheets, 4x9 sheets and 4x12 sheets required:
Ç h 4X8 10.* h 4X9 10. h 4X12 10.
*It is the same amount for all three of the sheet sizes because it is based on length and not area.
Note
: The order in which the different sheet size answers appear may differ from that of the guide. The order is based on the last displayed sheet size when previously cal­culated.
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GRADE/SLOPE
Back-Fill on a Slope —
Percent of Grade Known
You’ve built 55 linear feet of a 3-foot high retaining wall that is 3 feet from the base of a 65% grade. You need to pour back-fill within 12 inches of the top of the wall (for a 2 foot depth). How many cubic yards of fill should you have delivered?
KEYSTROKE DISPLAY
1. Find volume for “A”:
o o 0. 5 5 f 55 FEET x 3 f 3 FEET x 2 f = µ M+ 330. CU FEET
2. Find run/diagonal of “B”:
6 5 % p %GRD 65. 2 f r RISE 2 FEET 0 INCH R RUN 3 FEET 0-15/16 INCH
3. Find volume of triangle “B”:
5 5 f 55 FEET x ® R RUN 3 FEET 0-15/16 INCH x 2 f = 338.4615 CU FEET ÷ 2 = µ M+ 169.2308 CU FEET
4. Find total volume:
® ® M+ 499.2308 CU FEET Ç y 18.49003 CU YD
M
M
M
M
M
M
M
M
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RIGHT TRIANGLE AND ROOF FRAMING EXAMPLES
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Roof Framing Definitions Rise: The vertical distance measured from the wall’s top plate to the
top of the ridge. Span: The horizontal distance or full width between the outside
edges of the wall’s top plates. Run: The horizontal distance between the outside edge of the wall’s
top plate and the center of the ridge; in most cases this is equivalent to half of the span.
Pitch: Pitch and slope are synonymous in modern trade language. Pitch/slope of a roof is generally expressed in two types of measure­ment:
1) Ratio of unit rise to unit run* — 7/12 or 7 inch
2) Angle of rafters, in degrees — 30.26°
*Note: The unit rise is the number of inches of rise per foot (12 inches) of unit run. The unit run is expressed as one foot (12 inches).
Plate: The top horizontal wall member that the ceiling joist and rafters sit on and fasten to.
Ridge: The uppermost point of two roof planes. This rafter is the uppermost rafter that all Hip, Valley, Valley Jack and Common rafters are fastened to.
Rafters: Rafters are inclined roof support members. Rafters include the following types:
Common Rafter: The Common connects the plate to the ridge and is perpendicular to the ridge.
Hip Rafter: The Hip rafter extends from the corner of two wall plates to the ridge or King rafter at angle other than 90°. The Hip rafter is an external angle of two planes.
Valley Rafter: The Valley rafter extends from the corner of two wall plates to the ridge or King rafter at angle other than 90°. The Valley rafter is an internal angle of two planes.
Jack Rafters: Rafters that connect the Hip or Valley rafter to the wall plate.
Irregular Hip/Valley Jacks: Jack rafters found in dual pitch or “irregular” roofs.
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Regular Roof: A standard roof where the Hips and/or Valleys run at
45° and have the same pitch/slope on both sides of the Hip and/or Valley.
Irregular Roof: A non-standard roof where the Hips and/or Valleys bisect two different pitches/slopes, or have “skewed wings” or irregu­lar Jacks.
Rake Wall: A gable end wall that follows the pitch/slope of a roof.
Plumb: Vertical Cut. The angle of cut from the edge of the board
that allows the rafter to mate on the vertical side of the ridge rafter. Level: Horizontal Cut. The angle of cut from the edge of the board
that allows the rafter to seat flat on the wall plate. Cheek: Side Cut(s). The angle to cut from the SIDE of the Jack
rafter to match up against the Hip or Valley rafter, usually made by tilting the blade from 90°. Jack rafters typically have one Cheek cut. If there is only one pitch (no irregular pitch), the angle will be 45°. If there are two pitches, each side will have a different Cheek cut for the Jack rafter and the angles will total 90°.
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Degree of Pitch
If the degree of pitch is 30.45°, what is the percent grade, slope and pitch in inches?
KEYSTROKE DISPLAY
o o 0. 3 0 • 4 5 p PTCH 30.45° p %GRD 58.78702 p SLP 0.58787 p PTCH 7-1/16 INCH
Note: To convert Pitch in Inches: Simply enter the pitch in inches first (e.g.,
7 i p
),
then continuously press the pkey to calculate the pitch conversions, as above.
Percent Grade
If the percent grade is 47.25%, what is the slope, pitch in inches, and degree of pitch?
KEYSTROKE DISPLAY
o o 0. 4 7 • 2 5 %* p %GRD 47.25 p SLP 0.4725 p PTCH 5-11/16 INCH p PTCH 25.29°
*Note: For entering percent grade, you need to label the value with the percent key.
Pitch Ratio or Slope
If the pitch ratio is 0.65, what is the pitch in inches, degree of pitch, and percent grade?
KEYSTROKE DISPLAY
o o 0.
• 6 5 Ç* p SLP 0.65 p PTCH 7-13/16 p PTCH 33.02° p %GRD 65.
*Note: For entering pitch ratio, you must press the Çkey first.
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Common Rafter Length
If a roof has a 7/12 pitch and a span of 14 feet 4 inches, what is the point-to-point length of the Common rafter (excluding the overhang or ridge adjustment)? What are the Plumb and Level cuts?
Note: Run is half the Span.
KEYSTROKE DISPLAY
1. Find diagonal or point-to-point length of the Common rafter:
o o 0. 7 i p PTCH 7 INCH 1 4 f 4 i ÷ 2 = 7 FEET 2 INCH R RUN 7 FEET 2 INCH d DIAG 8 FEET 3-9/16 INCH
2. Find Plumb and Level cuts:
d PLMB 30.26° d LEVL 59.74°
Note: The Common rafter calculation is the "point-to-point" length and does not include the overhang or ridge adjustment.
Common Rafter Length —
Pitch Unknown
Find the common rafter length for a roof with a rise of 6 feet 11-1/2 inches and a run of 14 feet 6 inches. Solve for the pitch in degrees and in inches.
KEYSTROKE DISPLAY
Find diagonal and pitch:
o o 0. 6 f 1 1 i 1 / 2 r RISE 6 FEET 11-1/2 INCH 1 4 f 6 i R RUN 14 FEET 6 INCH d DIAG 16 FEET 1 INCH p PTCH 5-3/4 INCH p PTCH 25.64°
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Angle and Diagonal (Hypotenuse)
Find the diagonal (hypotenuse) and degree of angle of a right triangle that is 9 feet high and 12 feet long.
KEYSTROKE DISPLAY
1. Enter rise and run:
o o 0. 9 f r RISE 9 FEET 0 INCH 1 2 f R RUN 12 FEET 0 INCH
2. Solve for diagonal/hypotenuse and pitch in inches and degree of angle:
d DIAG 15 FEET 0 INCH p PTCH 9 INCH p PTCH 36.87°
Rise
Find the rise given a 7/12 pitch and a run of 11 feet 6 inches.
KEYSTROKE DISPLAY
o o 0. 7 i p PTCH 7 INCH 1 1 f 6 i R RUN 11 FEET 6 INCH r RISE 6 FEET 8-1/2 INCH
Rise and Diagonal
Find the rise and diagonal of a right triangle given a 30° pitch and a run of 20 feet 4 inches.
KEYSTROKE DISPLAY
o o 0. 3 0 p PTCH 30.00° 2 0 f 4 i R RUN 20 FEET 4 INCH r RISE 11 FEET 8-7/8 INCH d DIAG 23 FEET 5-3/4 INCH
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Sheathing Cut
You have framed an equal pitch roof and need to apply the roof sheathing. Find the distance from the corner of the sheathing so that you can finish the run at the Hip rafter and cut the material. The pitch is 6 inches and you are using 4-foot by 8-foot plywood, with the 8-foot side along the plate.
KEYSTROKE DISPLAY
1. Enter pitch:
o o 0. 6 i p PTCH 6 INCH
2. Enter width of plywood:
4 f d DIAG 4 FEET 0 INCH
3. Find length of sheathing:
R RUN 3 FEET 6-15/16 INCH
Regular Hip/Valley and Jack Rafters
You’re working with a 7/12 pitch, and half your total span is 8 feet 5 inches:
(1) Find point-to-point length and cut angles for the common rafter; (2) Find the length and cut angles of the adjoining Hip (or Valley) and; (3) Find the regular jack rafter lengths and cut angles (jack rafters
at 16 inches on-center spacing).
KEYSTROKE DISPLAY
1. Find Common rafter length and Plumb and Level cuts:
o o 0. 8 f 5 i R RUN 8 FEET 5 INCH 7 i p PTCH 7 INCH d DIAG 9 FEET 8-15/16 INCH d PLMB 30.26° d LEVL 59.74°
2. Find Hip/Valley rafter length and cut angles:
H H/V 12 FEET 10-1/2 INCH H PLMB 22.42° H LEVL 67.58° H CHK1 45.00°
(Cont’d)
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(Cont’d)
KEYSTROKE DISPLAY
3. Find Jack rafter lengths and cut angles:
j JKOC 16 INCH* j JK1 8 FEET 2-3/8 INCH j JK2 6 FEET 7-7/8 INCH j JK3 5 FEET 1-3/8 INCH j JK4 3 FEET 6-13/16 INCH j JK5 2 FEET 0-5/16 INCH j JK6 0 FEET 5-13/16 INCH j JK7 0 FEET 0 INCH j PLMB 30.26° j LEVL 59.74° j CHK1 45.00°
*Note: If display does not read JKOC 16 INCH (the default), then reset on-center spacing by pressing
1 6 i ß 5
.
Jack Rafters —
Using Other Than 16 Inch On-Center Spacing
A roof has a 9/12 pitch and a run of 6 feet 9 inches. Find the jack rafter lengths and cut angles at 18-inch (versus 16-inch) on-center spacing. The on-center spacing is used for both regular and irregular jack calculations.
KEYSTROKE DISPLAY
1. Enter pitch, run and spacing:
o o 0. 9 i p PTCH 9 INCH 6 f 9 i R RUN 6 FEET 9 INCH 1 8 i ß 5 OC STORED 18 INCH
2. Find Jack rafter lengths and cut angles:
j JKOC 18 INCH j JK1 6 FEET 6-3/4 INCH j JK2 4 FEET 8-1/4 INCH j JK3 2 FEET 9-3/4 INCH j JK4 0 FEET 11-1/4 INCH j JK5 0 FEET 0 INCH j PLMB 36.87° j LEVL 53.13° j CHK1 45.00°
3. Reset on-center spacing to default 16-inch:
1 6 i ß 5 OC STORED 16 INCH
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Irregular Hip/Valley and Jack Rafters —
Descending, with
On-Center Spacing Maintained
You’re working with a 7/12 pitch and half your overall span is 4 feet. The irregular pitch is 8/12, and 16 inch on-center spacing is main­tained on both sides. Complete the following steps:
(1) Find the length of the common rafter; (2) Reset calculator to 16 inch on-center spacing; (3) Enter the irregular pitch; find the length of the adjoining
“irregular” Hip (or Valley) and the cut angles;
(4) Find the jack lengths on the “irregular” pitch side (16 inch
on-center spacing); (5) Find the cut angles; (6) Find the jack lengths on the “regular” pitch side (16 inch
on-center spacing); (7) Find the cut angles.
KEYSTROKE DISPLAY
1. Find Common rafter length:
o o 0. 7 i p PTCH 7 INCH 4 f R RUN 4 FEET 0 INCH d DIAG 4 FEET 7-9/16 INCH
2. Enter on-center spacing:
1 6 i ß 5 OC STORED 16 INCH
3. Find irregular Hip/Valley rafter length and cut angles:
8 i Ç H IPCH 8 INCH H IH/V 5 FEET 9-11/16 INCH H PLMB 23.70° H LEVL 66.30° H CHK1 41.19° H CHK2 48.81°
(Cont’d)
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(Cont’d)
KEYSTROKE DISPLAY
4. Find irregular jack lengths:
Ç j IJOC 16 INCH j* IJ1 2 FEET 9-5/8 INCH j IJ2 1 FEET 4-13/16 INCH j IJ3 0 FEET 0 INCH
*Note: It is not necessary to continue pressing Çwhen displaying each Jack rafter size.
5. Find irregular jack plumb, level and cheek cut angles:
j PLMB 33.69° j LEVL 56.31° j CHK1 41.19°
6. Find regular jack lengths:
j JKOC 16 INCH j JK1 2 FEET 10-3/8 INCH j JK2 1 FEET 1-1/4 INCH j JK3 0 FEET 0 INCH
7. Find regular jack plumb, level and cheek cut angles:
j PLMB 30.26° j LEVL 59.74° j CHK1 48.81°
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Irregular Hip/Valley and Jack Rafters —
Ascending, with Jacks
Mating at Hip/Valley
You’re working with a 7/12 pitch and half your overall span is 4 feet. The irregular pitch is 8/12, and the jacks need to mate at the Hip. The maximum allowable on-center spacing is 16 inches. Find the jack rafter sizes from smallest to largest (ascending order). Complete the following steps:
(1) Set Preference display to “JK ASCEND” (jack sizes in ascend-
ing order); (2) Set Preference display to “IRJK JAC-JAC” (jacks mate); (3) Find the length of the common rafter; (4) Find the length of the adjoining “irregular” Hip (or Valley) and
the cut angles; (5) Find the o.c., jack lengths and cut angles on the “irregular”
pitched side; (6) Find the o.c., jack lengths and cut angles on the “regular”
pitched side.
Note: After completing this example, you may need to reset the Preferences back to “IRJK OC-OC” if you do not normally figure jacks in this manner. (See Preference Settings on page 89.)
KEYSTROKE DISPLAY
1. Review Preferences until you find “Jack Descend”:
o o 0. Ç ß FRAC 0-1/16 INCH
(If not at 1/16, press +until 1/16 is displayed)
ß AREA Std. ß VOL Std. ß HDRM 6 FEET 8 INCH ß RAKE dESCEnd ß JACK dESCEnd
Set Preference to “Ascend”:
+
(plus sign)
JACK ASCEnd
2. Set Preference to “Jacks Mate”:
ß IRJK OC-OC +
(plus sign)
IRJK JAC-JAC
3. Find common rafter length:
7 i p PTCH 7 INCH 4 f R RUN 4 FEET 0 INCH d DIAG 4 FEET 7-9/16 INCH
(Cont’d)
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(Cont’d)
KEYSTROKE DISPLAY
4. Enter irregular pitch and find irregular Hip/Valley rafter length and cut angles:
8 i Ç H IPCH 8 INCH H IH/V 5 FEET 9-11/16 INCH H PLMB 23.70° H LEVL 66.30° H CHK1 41.19° H CHK2 48.81°
5. Display the o.c. and find the irregular jack lengths and cut angles:
Ç j IJOC 16 INCH* j IJ1 1 FEET 4-13/16 INCH j IJ2 2 FEET 9-5/8 INCH j IJ3 4 FEET 2-1/2 INCH j PLMB 33.69° j LEVL 56.31° j CHK1 41.19°
6. Find the o.c., regular jack lengths and cut angles:
j JKOC 14 INCH* j JK1 1 FEET 6-1/2 INCH j JK2 3 FEET 1-1/16 INCH j JK3 4 FEET 7-9/16 INCH j PLMB 30.26° j LEVL 59.74° j CHK1 48.81°
7. Reset jack rafter Preference Settings:
o o 0. Ç ß ß ß ß ß ß JACK ASCEnd
Set Preference to “Descend”:
+
(plus sign)
JACK dESCEnd
Set Preference to “Jacks On-Center”:
ß IRJK JAC-JAC + IRJK OC-OC
Exit Preference Settings:
o 0.
*Note: The stored on-center spacing is used as the maximum allowable spacing. Therefore, it is assigned to the side with the largest entered pitch. In this example, the “irregular” side pitch is larger than the “regular” side pitch; thus, the irregular side is calculated using the maximum on-center value (16 inches). If the regular pitch side had the larger pitch, it would require the larger (16 inches) on-center.
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Rake-Wall –
No Base
Find each stud size in a rake-wall with a peak (rise) of 4 feet, and a length (run) of 8 feet. Use 16 inches as your spacing.
Note: The wall has no base.
KEYSTROKE DISPLAY
1. Enter rise and run and display o.c. spacing:
o o 0. 4 f r RISE 4 FEET 0 INCH 8 f R RUN 8 FEET 0 INCH ® 5* STORED OC 16 INCH
*If 16 inch is not displayed, enter
1 6 ß 5
.
2. Find stud lengths:
Ç r
(R/Wall)
RWOC STORED 16 INCH
r RW 1 3 FEET 4 INCH r RW 2 2 FEET 8 INCH r RW 3 2 FEET 0 INCH r RW 4 1 FEET 4 INCH r RW 5 0 FEET 8 INCH r BASE 0 FEET 0 INCH
3. Find Rake-Wall angle of incline:
r RW 26.57°
Note: By setting the Rake “Ascend” Preference (see Preference Settings on page
90), you may view rake-wall stud lengths from smallest to largest size.
Note: You can also solve if you only know the rise and pitch, run and pitch, or diagonal and pitch. Simply enter the known values via p, r, R, or dkeys, similar to Step #1 above, then solve for rake-wall stud lengths, as seen in Step #2.
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Rake-Wall –
With Base
Find each stud size in a rake-wall with a peak (rise) of 4 feet, a length (run) of 8 feet, and a base of 5 feet. Use 16 inches as your on-center spacing.
KEYSTROKE DISPLAY
1. Enter rise, run, and o.c. spacing:
o o 0. 4 f r RISE 4 FEET 0 INCH 8 f R RUN 8 FEET 0 INCH ® 5* OC STORED 16 INCH
*If 16 inch is not displayed, enter
1 6 i ß 5
.
2. Enter base and recall on-center spacing, then find stud lengths and angle of incline:
5 f Ç r
(R/Wall)
RWOC STORED 16 INCH
r RW 1 8 FEET 4 INCH r RW 2 7 FEET 8 INCH r RW 3 7 FEET 0 INCH r RW 4 6 FEET 4 INCH r RW 5 5 FEET 8 INCH r BASE 5 FEET 0 INCH r RW 26.57°
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ROOFING MATERIALS
The Roof function solves for the amount of bundles and squares for standard gable-end style roofs. Bundles are based on a coverage area of 33.33 square feet, and squares are based on 100 square feet.
Roof Covering —
Entering Pitch, Length and Width
Find the roof area and number of roofing squares, number of bundles and 4x8 sheets required for a 10-inch pitch roof covering a floor area of 14 feet by 11 feet. Also calculate the plan area.
KEYSTROKE DISPLAY
1. Enter pitch and floor area*:
o o 0. 1 0 i p PTCH 10 INCH 1 4 f l LNTH 14 FEET 0 INCH 1 1 f W WDTH 11 FEET 0 INCH
2. Find roof area:
Ç d ROOF 200.4631 SQ FEET
3. Find number of roofing squares:
d SQRS 2.00
4. Find number of bundles:
d BNDL 6.01
5. Display bundle size/area:
d B-SZ 33.33 SQ FEET
6. Find number of 4x8 sheets:
d 4X8 6.26
7. Display stored pitch:
d PTCH STORED 10 INCH
8. Find floor/plan area:
d PLAN 154. SQ FEET
*Note: If you know the area (and do not need to calculate it), once you have entered the pitch, enter the area and label it as square feet, then press
Ç d
. For example,
if the plan/floor area is 100 square feet, enter
1 0 0 f f Ç d
.
For Trig Model (4080) Users:
*Note: As this model does not have land Wkeys, you must calculate area the standard way (e.g., L x W, or entering 154 square feet), then press
Ç d
.
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Roof Covering —
Entering Rise, Run (No Pitch) and Area
Find the roof covering, pitch and plan area if the rise is 15 feet and run 30 is feet. The length of the floor area is 10 feet and width 20 feet.
KEYSTROKE DISPLAY
1. Enter rise, run, length and width*:
o o 0. 1 5 f r RISE 15 FEET 0 INCH 3 0 f R RUN 30 FEET 0 INCH 1 0 f l* LNTH 10 FEET 0 INCH 2 0 f W* WDTH 20 FEET 0 INCH
2. Find roof area, number of roofing squares, number of bundles, stored bundle size, number of 4x8 sheets, pitch and plan area:
Ç d ROOF 223.6068 SQ FEET d SQRS 2.24 d BNDL 6.71 d B-SZ 33.33 SQ FEET d 4X8 6.99 d PTCH 6 INCH d PLAN 200. SQ FEET
For Trig Plus Users:
*Note: As this model does not have land Wkeys, you must calculate area the standard way (e.g., L x W, or entering 200 square feet), then press
Ç d
.
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STAIR LAYOUT EXAMPLES
Stair Layout Definitions Rise: The “floor-to-floor” or “landing-to-landing” rise is the actual ver-
tical rise required for building a stairway after the finish flooring has been installed.
Run: The run of a stairway is the amount of horizontal space required. The total run of a stairway is equal to the width of each tread multiplied by the number of treads.
Desired Riser Height: The desired riser height is the amount of vertical rise you allow for each individual riser in the stairway. This is sometimes dictated by local code.
Actual Riser Height: The actual height of each riser is measured from the top of one tread to the top of the next tread.
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Number of Risers: The number of risers includes both the first and
the last riser of the stairway. Riser Overage or Underage: The riser overage or underage is the
difference between the “floor-to-floor” rise and the total height of all of the risers. Many times the riser height does not divide evenly into the floor-to-floor rise and a small fraction of an inch is left over. A positive remainder is an overage, while a negative remainder is an underage.
Tread Width: The width of each tread is measured from the front of one riser to the front of the next riser. The width of each tread does NOT include the nosing or overhang of the tread. The nosing or overhang of a tread is the rounded front of the tread that projects beyond the face of the riser.
Number of Treads: The number of treads is one less than the number of risers.
Tread Overage or Underage: The tread overage or underage is the difference between the run or horizontal space that a stairway must fit into and the total width of the treads. Similar to the riser overage/underage, many times the total width of the treads does not divide evenly into the run or horizontal space for the stairway and a small fraction of an inch is left over. A positive remainder is an over­age, a negative remainder is an underage.
Stringers: Also called carriages, stair horses or stair jacks. Stringers are the diagonal members that support the treads and risers.
Angle of Incline: The angle of incline of the stairway is determined by the rise and run of each stair. The angle of incline should not be confused with the pitch of the stairway. The pitch of a stairway is the angle based on the floor-to-floor rise and the horizontal run of the stairway. The angle of incline is based on the “actual” riser height and the “actual” tread width of the stair.
Stairwell Opening: The length of the opening at the top of the stairs. The computation is based on the headroom height (the desired spacing between the stairs and upper floor ceiling) and thickness of the upper floor where the opening is located.
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Stairs —
Given Only Floor-to-Floor Rise
You’re building a stairway with a total rise of 9 feet 11 inches. Your desired riser height is 7-1/2 inches and desired tread width is 10 inches. The desired headroom is 6 feet 8 inches and floor thickness 10 inches*. Find all stair values, then calculate the run.
*Note: Headroom and floor thickness are required to calculate the length of the stair­well opening.
KEYSTROKE DISPLAY
1. Enter known rise:
o o 0. 9 f 1 1 i r RISE 9 FEET 11 INCH
2. Recall stored desired stair riser height:
® 7 R-HT STORED 7-1/2 INCH
3. Recall stored desired stair tread width:
® 9 T-WD STORED 10 INCH
4. Recall stored desired floor thickness:
® 8 FLOR STORED 10 INCH
5. Display stored headroom (via Preference Setting Mode):
Ç ß ß ß ß HDRM 6 FEET 8 INCH
6. Find riser height, number of risers, riser underage/overage, tread width, number of treads, tread overage/underage, length of stairwell opening, stringer length and angle of incline. As a final step, calcu­late the run.
s R-HT 7-7/16 INCH s RSRS 16. s R+/– 0 INCH s T-WD 10 INCH s TRDS 15. s T+/– 0 INCH s OPEN 10 FEET 1 INCH s STRG 15 FEET 6-15/16 INCH s INCL 36.64° s RUN 12 FEET 6 INCH s* RISE STORED 9 FEET 11 INCH
*Continuous presses of swill also recall stored desired riser height, tread, head­room and floor thickness values.
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Notes on Changing Stored Stair Variables:
To Change Desired Riser Height: If you wish to use a Desired
Riser Height of other than 7-1/2 inches (the calculator’s default), simply enter a new value. For example, to enter 8 inches, enter 8 i ß 7. Press ® 7 to review your new entry. This value will be permanently stored until you change it.
To Change Desired Tread Width: If you wish to use a Desired Tread Width of other than 10 inches (the calculator ’s default), simply enter a new value. For example, to enter 10-1/2 inches, enter 1 0 i 1 / 2 ß 9. Press ® 9 to review your new entry. This value will be permanently stored until you change it.
To Change Desired Floor Thickness: If you wish to use a Desired Floor Thickness of other than 10 inches (the calculator ’s default), simply enter a new value. For example, to enter 12 inches, enter 1 2 i ß 8. Press ® 8 to review your new entry. This value will be permanently stored until you change it.
To Change Desired Headroom: If you wish to use a Desired Headroom other than 6 feet 8 inches (the calculator’s default), simply select a new value via the Preference Mode and use the + or – keys to increase/decrease by one inch. See below examples. This value will be permanently stored until you change it.
KEYSTROKE DISPLAY
1. Select Headroom via Preference Mode:
o o 0. Ç ß ß ß ß HDRM 6 FEET 8 INCH
2. Decrease Headroom Height by 2 Inches:
– – HDRM 6 FEET 6 INCH
3. Then increase Headroom Height by 4 Inches:
+ + + + HDRM 6 FEET 10 INCH
4. Return Headroom Height to default of 6 feet 8 inches:
– – HDRM 6 FEET 8 INCH
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Stairs —
Given Only the Run
You’re building a stairway with a total run of 20 feet. Your desired riser height is 7-1/2 inches and desired tread width is 10 inches. The desired headroom is 6 feet 8 inches and floor thickness 10 inches. Find all stair values, then calculate the rise.
KEYSTROKE DISPLAY
1. Enter run:
o o 0. 2 0 f R RUN 20 FEET 0 INCH
2. Find riser height, number of risers, riser underage/overage, tread width, number of treads, tread overage/underage, stairwell opening, stringer length and angle of incline. As a final step, calculate the rise.
s R-HT 7-1/2 INCH s RSRS 25. s R+/– 0 INCH s T-WD 10 INCH s TRDS 24. s T+/– 0 INCH s OPEN 10 FEET 0 INCH s STRG 25 FEET 0 INCH s INCL 36.87° s STORED RUN 20 FEET 0 INCH s RISE 15 FEET 7-1/2 INCH
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Stairs —
Given Rise and Run
You need to build a stairway with a floor-to-floor height of 10 feet 1 inch, a run of 15 feet 5 inches, and a nominal desired riser height of 7-1/2 inches (default). Calculate all stair values.
KEYSTROKE DISPLAY
1. Enter rise and run:
o o 0. 1 0 f 1 i r RISE 10 FEET 1 INCH 1 5 f 5 i R RUN 15 FEET 5 INCH
2. Find stair values:
s R-HT 7-9/16 INCH* s RSRS 16. s R+/– 0 INCH s T-WD 12-5/16 INCH s TRDS 15. s T+/– – 0-5/16 INCH s OPEN 12 FEET 2-1/2 INCH s STRG 18 FEET 0-3/4 INCH s INCL 31.56° s RUN STORED 15 FEET 5 INCH s RISE STORED 10 FEET 1 INCH s R-HT STORED 7-1/2 INCH s T-WD STORED 10 INCH s HDRM STORED 6 FEET 8 INCH s FLOR STORED 10 INCH
*A in the display means that the calculated riser height exceeds the stored desired riser height.
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Stairs —
Given Rise and Run, Using “Riser Limited” Function
for Code Restrictions
Your local code prohibits risers greater than 7-1/2 inches. You need to build a stairway with a floor-to-floor height of 10 feet 1 inch, a run of 15 feet 5 inches. Calculate all stair values. Use the “Riser Limited” function (second function of the s key) to calculate a riser height that does not exceed the stored Desired Riser Height of 7-1/2.”
KEYSTROKE DISPLAY
1. Enter rise and run:
o o 0. 1 0 f 1 i r RISE 10 FEET 1 INCH 1 5 f 5 i R RUN 15 FEET 5 INCH
2. Find stair values using “Riser Limited”:
Ç s R-HT 7-1/8 INCH s RSRS 17. s R+/– 1/8 INCH s T-WD 11-9/16 INCH s TRDS 16. s T+/– 0 INCH s OPEN 12 FEET 2-1/16 INCH s STRG 18 FEET 1-5/16 INCH s INCL 31.64° s RUN STORED 15 FEET 5 INCH s RISE STORED 10 FEET 1 INCH s R-HT STORED 7-1/2 INCH s T-WD STORED 10 INCH s HDRM STORED 6 FEET 8 INCH s FLOR STORED 10 INCH
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Baluster Spacing
You are going to install a handrail at the top of a balcony. Your total span is 156 inches and you would like the space between the balus­ters to be about 4 inches. If each baluster is 1-1/2 inches wide, what is the exact spacing between each baluster?
KEYSTROKE DISPLAY
1. Estimate number of balusters in span.
o o 0. 1 5 6 i ÷ 156 INCH 5 i 1 / 2 =* 28.36364
(28 balusters)
*desired spacing plus baluster width (4” plus 1-1/2”).
2. Find total space ‘occupied’ by the balusters by multiplying the width of each baluster by the rounded number of balusters (found above):
1 i 1 / 2 x 1-1/2 INCH 2 8 = 42 INCH
3. Find total space between all balusters:
1 5 6 i – 156 INCH 4 2 i = 114 INCH
4. Find actual baluster spacing by dividing total space between all balusters by the number of spaces between the balusters (number of balusters plus one equals 29):
1 1 4 i ÷ 114 INCH 2 9 = 3-15/16 INCH
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STUDS
Find the number of 16-inch on-center studs needed for a wall with a length of 18 feet 7-1/2 inches.
KEYSTROKE DISPLAY
1. Enter length and convert to Studs*.
o o 0. 1 8 f 7 i 1 / 2 18 FEET 7-1/2 INCH Ç 5 15.
(studs)
*Note: The length is divided by the on-center spacing; in this case, 16 inches (default setting). Press
® 5
to review the stored on-center value. If you need to enter a
new on-center, for example 18 inches, enter
1 8 i ß 5
.
BASIC D:M:S AND TRIGONOMETRY EXAMPLES
Converting Degrees:Minutes:Seconds
Convert 23°42’39” to decimal degrees:
KEYSTROKE DISPLAY
o o 0. 2 3 • 4 2 • 3 9 DMS 23.42.39 Ç •
(deg)
DEG 23.71
Convert 44.29° to degrees:minutes:seconds format:
KEYSTROKE DISPLAY
o o 0. 4 4 • 2 9 Ç •
(d:m:s)
DMS 44.17.24
Note: Improperly formatted entries will be redisplayed in the correct convention after any operator key is pressed. For example, 30°89’ entered will be corrected and dis­played at 31°29’ 0” or 31.48333°.
Time Calculations Using D:M:S
Add 7 hours 45 minutes 33 seconds to 11 hours 16 minutes 20 seconds:
KEYSTROKE DISPLAY
o o 0. 7 • 4 5 • 3 3 DMS 7.45.33° + 1 1 • 1 6 • 2 0 = DMS 19.01.53°
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TRIGONOMETRIC FUNCTIONS
Trigonometric functions are available on the
Construction Master
Pro Trig
and
Construction Master Pro Desktop
calculators.
The drawing and formulas below list basic trigonometric formulas, for your reference:
Given side A and angle a, find:
Side C A ÷ a ç = (i.e., 3 f ÷ 5 3 • 1 3 ç =) Side B A x a t = Angle b 90° – a =
Given side A and angle b, find:
Side B A ÷ b t = Side C A ÷ b S = Angle a 90° – b =
Given side B and angle a, find:
Side A B ÷ a t = Side C B ÷ a S =
Given side C and angle a, find:
Side A C x a ç = Side B C x a S =
Given side A and side C, find:
Angle a A ÷ C = Ç ç Angle b A ÷ C = Ç S
Given side B and angle b, find:
Side C B ÷ b ç = Side A B x b t =
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Converting Percent Grade to D:M:S
You are grading a piece of property and the site plans call for an embankment with a grade “no steeper than 35%.” Your level shows the slope at an 18°15’ angle. Will this pass?
KEYSTROKE DISPLAY
Enter grade and convert to degrees:minutes:seconds:
o o 0. 3 5 % Ç t Ç •* DMS 19.17.24
Since your level reading of 18°15’ is less steep than 19°17’24”, the slope will pass inspection.
Converting Tangent/Pitch to Angle
Find the angle and corresponding tangent for a roof with an 8/12 pitch.
KEYSTROKE DISPLAY
1. Enter pitch:
o o 0. 8 i p PTCH 8 INCH
2. Convert pitch to degrees:
p 33.69°
3. Find tangent or slope:
t 0.666667
Converting Roof Angle in Degrees to Pitch in Inches
Convert a roof angle of 30.25° to pitch in inches.
KEYSTROKE DISPLAY
1. Enter angle:
o o 0. 3 0 • 2 5 t 0.583183
2. Convert to pitch:
Ç p SLP 0.583183 p PTCH 7 INCH
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Angle —
Rise and Hypotenuse Known
Find the angle that connects the rise and hypotenuse of a right trian­gle, if the rise is 6 feet and the hypotenuse is 10 feet in length.
KEYSTROKE DISPLAY
1. Use trigonometric formula (divide rise(A) by hypotenuse(C)):
o o 0. 6 f ÷ 1 0 f = 0.6
2. Solve for degrees:minutes:seconds or angle:
Ç ç DEG 53.13° Ç • DMS 53.07.48
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After a
Clear All
(Ç x), your calculator will return to the following
settings:
STORED VALUES DEFAULT VALUE
Desired Riser Height 7-1/2 Inch Desired Tread Width 10 Inch Floor Height 10 Inch On-Center Spacing 16 Inch Weight per Volume 1.5 Tons/Cu Yd Block Area
(except Trig model)
128 Sq Inch
Footing Area
(except Trig model)
1.8 Sq Feet
Crown Angle 45.00° If you replace your batteries or perform a
Full Reset*
(press O, hold down x, and press o), your calculator will return to the following settings (in addition to those listed above):
PREFERENCE SETTINGS DEFAULT VALUE
Fractional Resolution 1/16 Area Display Standard Volume Display Standard Stairway Headroom 6 Feet 8 Inch Rake Wall Descending Jack Rafters Descending Irregular Jack Spacing OC-OC Exponent Off Meter Linear Display 0.000 Decimal Degree Display 0.00°
*Depressing the Reset button located above the pkey will also perform a Full Reset.
APPENDIX A —
DEFAULT SETTINGS
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The
Construction Master Pro
calculators have Preference Settings that allow you to customize or set desired dimensional formats and calculations. The options vary per model.
If you replace your batteries or perform a
Full Reset*
(press O, hold down x, and press o), your calculator will return to the following settings (in addition to those listed on the previous page):
PREFERENCE OPTIONS
1) Fractional Resolution – *1/16 (displays fractional values to the
nearest 16th of an inch) – – 1/321/641/21/41/8
2) Area Display Format – *Standard (if units entered are the
same—e.g., feet x feet—the answer will remain in this format (sq. ft), but if units entered are different —e.g., inches x feet—area answer will be displayed in square feet) – Square Feet (area answers always displayed in sq. ft, regardless of unit entry—e.g., inches x inches = sq. ft) – Square Yards (area answers always displayed in sq. yards—e.g., feet x feet = sq. yds) – Square Meters (area answers always displayed in sq. meters—e.g., feet x feet = sq. meters)
Note: To check the current Fractional Resolution, press
® /
. Either “Std” (standard fractional resolution) or “Cnst” (constant) will be displayed, along with the fractional resolution).
(Cont’d)
APPENDIX B —
PREFERENCE SETTINGS
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(Cont’d)
PREFERENCE OPTIONS
3) Volume Display Format – *Standard (if units entered are the same—e.g., ft x ft x ft—the answer will remain in this format (cu. ft), but if units entered are different—e.g., feet x feet x inches—vol. answer will always be dis­played in cubic yards) – Cubic Yards (vol. answers always dis- played in cu. yards, regardless of unit entry—e.g., feet x feet x feet = cu. yds) – Cubic Feet (vol. answers always dis­played in cu. feet, regardless of unit entry—e.g., inches x inches x inches = cu. ft) – Cubic Meters (vol. answers always displayed in cu. meters, regardless of unit entry—e.g., feet x feet x feet = cu. meters)
4) Stairwell—Headroom – *6 Feet 8 Inch (default)
Height – Use + or – key to increase or
decrease above value by increments of 1 inch
5) Rake-Wall Descending – *Descending (Rake-Wall studs are
or Ascending displayed from largest to smallest size)
Ascending (Rake-Wall studs are displayed from smallest to largest size)
6) Jack Rafters Descending – *Descending (Jack rafters are
or Ascending displayed from largest to smallest size)
Ascending (Jack rafters are displayed from smallest to largest size)
7) Irregular Jack Rafters – *OC-OC (on-center spacing maintained
O-C or Mate on both regular and irregular sides)
JAC-JAC (regular/irregular Jack rafters “mate” at the hip/valley, i.e., on-center spacing not maintained on both sides)
(Cont’d)
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(Cont’d)
PREFERENCE OPTIONS
8) Exponent Off or On – *Off (Exponential Mode is Off; turns on Auto-ranging; i.e., if display can’t show seven digits, will display in next largest unit). – On (Exponential Mode is On)
9) Meter Linear Display – *0.000 (linear meter answers are always displayed to third decimal place) – FLOAT (linear meter answers are dis- played to the maximum number of deci­mal places—e.g., 1.234 M + 2.56 M=3.794 M)
10) Decimal Degree – *0.00°
Display FLOAT
How to Set Preferences
The following sections detail Preference Setting options for the
Construction Master Pro
calculators.
Enter the Preference Mode by pressing Ç ß
(Prefs)
. Access each category by pressing the ß key until you reach the desired setting. Within each category, press the + or – keys to toggle between individual selections. Press o to exit and set your Preference.
Note: Press +to advance and press –to back up. Pressing the ßkey continuously in this mode will cycle through all of the Preference Settings.
You may change these settings at any time by repeating the above, and setting in a new preference. Or, you may review settings by pressing ® ß.
To clear preferences, press Ç x. For example, if you wish to display all your dimensional area answers
in square meters, press Ç ß ß
(Area Std)
, then the + key until “AREA 0. SQ M” is displayed. Simply exit this mode by pressing o or any key,
and all your future area answers will be displayed
in square meters.
(See the following pages for Preference Settings per model)
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Accessing Preference Settings
KEYSTROKE DISPLAY
To Set “Fractional Resolution”:
Ç ß
(Prefs) (1st press of ß)
FRAC 0-1/16 INCH
+
(plus sign)
FRAC 0-1/32 INCH
+ FRAC 0-1/64 INCH + FRAC 0-1/2 INCH + FRAC 0-1/4 INCH + FRAC 0-1/8 INCH
To Set “Area” Answer Format:
ß
(2nd press of ß)
AREA Std.
+
(plus sign)
AREA 0. SQ FEET
+ AREA 0. SQ YD + AREA 0. SQ M
To Set “Volume” Answer Format:
ß
(3rd press of ß)
VOL Std.
+
(plus sign)
VOL 0. CU YD
+ VOL 0. CU FEET + VOL 0. CU M
To Increase or Decrease Stairwell “Headroom” from Default of 6’8”:
ß
(4th press of ß)
HDRM 6 FEET 8 INCH
+*
(plus sign increases height by 1 inch)
HDRM 6 FEET 9 INCH
–*
(minus sign decreases height by 1 inch)
HDRM 6 FEET 8 INCH
*keep pressing plus or minus to increase or decrease an inch at a time.
To Set Rake-Wall Stud Sizes to “Descending” or “Ascending”:
ß
(5th press of ß)
RAKE dESCEnd
+
(plus sign)
RAKE ASCEnd
To Set Jack Rafter to “Descending” or “Ascending”:
ß
(6th press of ß)
JACK dESCEnd
+
(plus sign)
JACK ASCEnd
To Set Irregular Jack Spacing to “On-Center” or “Mate”:
ß
(7th press of ß)
IRJK OC-OC
+
(plus sign)
IRJK JAC-JAC
To Set “Exponential Mode” On or Off:
ß
(8th press of ß)
EXP OFF
+
(plus sign)
EXP On
(Cont’d)
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(Cont’d)
KEYSTROKE DISPLAY
To Set “Meter” Linear Decimal Format:
ß
(9th press of ß)
METR 0.000 M
+
(plus sign)
METR FLOAT M
To Set “Number of Decimal Places for Degree Displays”:
ß
(10th press of ß)
DEG 0.00°
+
(plus sign)
DEG FLOAT
Note: Press oat any time to exit the Preference Mode.
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Please follow the guidelines listed in this section for proper care and operation of your calculator. Not following the instructions listed below may result in damage not covered by your warranty. Refer to the Repair and Return section on page 100 for more details.
Do not expose calculator to temperatures outside the operating temperature range of 32ºF – 104ºF (0ºC – 40ºC).
Do not expose calculator to high moisture such as submersion in water, heavy rain, etc.
APPENDIX C —
CARE INSTRUCTIONS
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If you are an owner of a previous
Construction Master
calculator, the following list will help you compare several new or enhanced features available on selected
Construction Master Pro
calculators.
NEW/ENHANCED FUNCTION DESCRIPTION
Arched Rake Walls – Calculates the arched rake wall stud
lengths using the Arc function (8th press of a).
Compound Miter – Calculates compound miter cut angle
solutions.
Drywall – Calculates the number of 4x8, 4x9, or
4x12 sheets by pressing Ç h.
Length, Width, Height – Length, width, and height keys added
for easier dimensional entry and quicker area, volume, square-up, perimeter, wall area, and total room area calculations.
Memory – Added a third permanent single-value
memory accessed by pressing ß 3.
Polygon – Polygon function added for solving
angles, side length, perimeter, and area of multi-sided shapes.
Riser Limited – Calculates stair values so that the
actual riser height will not exceed your stored desired riser height.
Stairwell Opening – Calculates the height of the opening at
the top of the stairs.
Stud – New construction project keys have
been added for quickly figuring quantities and costs of materials.
APPENDIX D —
IMPORTANT NOTES FOR OWNERS
OF PREVIOUS CONSTRUCTION MASTERS
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ACCURACY/ERRORS
Accuracy/Display Capacity — Your calculator has a twelve-digit
display made up of eight digits (normal display) and four fractional digits. You may enter or calculate values up to 19,999,999.99. Each calculation is carried out internally to ten digits.
Errors — When an incorrect entry is made, or the answer is beyond the range of the calculator, it will display the word “ERROR.” To clear an error condition you must hit the o button once. At this point you must determine what caused the error and re-key the problem.
Error Codes
DISPLAY ERROR TYPE
OFLO Overflow (too large) MATH Error Divide by 0 DIM Error Dimension error ENT Error Invalid entry error TRIG Error Trig. error (for example, tan of 1 foot) None Attempt to calculate stairs without enter-
ing rise or run
Auto-Range — If an “overflow” is created because of an input and calculation with small units that are out of the standard seven-digit range of the display, the answer will be automatically expressed in the next larger units (instead of showing “ERROR”) — e.g., 10,000,000 mm is shown as 10,000 m. Also applies to inches, feet and yards.
Note: If Exponential Notation is activated through the Preference Setting, the value will be shown in scientific notation (e.g., 10 million mm—1.000007 mm).
AUTO SHUT-OFF
Your calculator is designed to shut itself off after about 8-12 minutes of non-use.
APPENDIX E —
ACCURACY/ERRORS,
AUTO SHUT-OFF, BATTERIES, RESET
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BATTERIES
Construction Master Pro v3.0
(#4065) and
Construction Master Pro
Trig v3.0
(#4080)
Two LR-44 batteries.
Construction Master Pro Desktop v3.0
(#44080)
One 3-Volt Lithium CR-2032 battery.
Replacing the Battery(ies)
Should your calculator display become very dim or erratic, replace the battery(ies).
Note: Please use caution when disposing of your old battery, as it contains hazardous chemicals.
Replacement batteries are available at most discount or electronics stores. You may also call Calculated Industries at 1-775-885-4975.
Battery Replacement Instructions
The Hand-held Models
Construction Master Pro v3.0
(#4065)
Construction Master Pro Trig v3.0
(#4080) To replace the batteries, slide open the battery door (at top backside of unit) and replace with new batteries. Make sure the batteries are facing positive side up.
Construction Master Pro Desktop v3.0
(#44080): To replace the battery, use a small Phillips’ head screwdriver and unscrew the two (2) screws on the base of the unit. Carefully remove the lower back housing. Remove the battery from the clip and replace it with a new battery, with the positive side up. Then replace the backplate and reattach the screws.
RESET KEY
If your calculator should ever “lock up,” press Reset — a small hole located to the left (or right for the
Construction Master Pro Desktop
)
of the O key — to perform a total reset.
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AREA FORMULAS
APPENDIX F —
AREA/VOLUME FORMULAS
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SURFACE AREA/VOLUME FORMULAS
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