The Machinist Calc™ Machining Math and Reference Tool (Model
4086) and the Machinist Calc™ Pro Advanced Machining Math and
Reference Tool (Model 4087) both provide fast, precise solutions
for your every day machining calculations. With the Machinist Calc/Machinist Calc Pro you will spend less time looking up your mostneeded calculations on charts, in books or on the Internet and
more time machining.
This User’s Guide has definitions, examples and instructions
for both calculators. Information specific to a particular model
is indicated in the Table of Contents and throughout the User’s
Guide.
Both calculators will provide you with hundreds of machiningspecific calculations, including:
• Cutting Speed, Spindle Speed (RPM)
• Feed Rate, Cutting Feed, Feed per Tooth (Chip Load)
• Built-in Drill and Thread Size reference tables
• Bolt Pattern hole layouts
• Work in and convert between U.S. and Metric units, including:
• Decimal Inches/Mils
• Feet-Inch-Fractions
• m, mm, cm
• Area, Volume and Weight
In addition, the Machinist Calc Pro (Model 4087) has:
• Advanced Built-in Drill and Thread Size reference tables
• Drill Point Cut Depth solutions
• Wire Sizes and 3-Wire Measurements
• Advanced Bolt Pattern hole layouts with center x, y coordinate
• Right triangle math
• Trigonometric solutions
Us e r 's GU i d e — 1
TABLE OF CONTENTS
GETTING STARTED ........................................................................................ 5
4 — Ma c h i n i s t ca l c ™/ Ma c h i n i s t ca l c ™ Pr o
GETTING STARTED
You may want to practice getting a feel for your calculator keys by
reading through the key denitions and learning how to enter data,
how to store values, etc., before proceeding to the examples.
KEY DEFINITIONS
Basic Function Keys
O
On/Clear Key — Turns on power. Pressing once clears
the last entry and the display. Pressing twice clears all
non-permanent values.
o
+-*
,=
0-9
and
.
g
S
S
1 - 9
r
gr
M
gM
Off — Turns all power off. Clears all non-permanent
values.
Arithmetic operation keys.
Keys used for entering numbers.
Convert — Used with the dimensional keys to convert
between units or with other keys to access special
functions.
Store — Used for storing values.
Storage Registers M1 through M9 — Used to store
values in Memory registers 1 through 9.
Recall — Used with other keys to recall stored values
and settings.
Memory Clear (M-R/C) — Clears Accumulative Memory
without changing current display.
Accumulative Memory — Adds displayed value to
Accumulative Memory.
M- — Subtracts displayed value from Accumulative
Memory.
Us e r 's GU i d e — 5
Dimensional Function Keys
m
g5
g9
g7
i
/
Millimeters —
repeated presses toggling between linear, area and
volume units. Converts dimensional value to units of
millimeters, with repeated presses toggling between
millimeters and meters.
Centimeters (cm) — Identies entry as
centimeters, with repeated presses toggling
between linear, area and volume units.
Meters (m)
ed presses toggling between linear, area and volume
units.
Feet
— Identies entry as Feet, with repeated press-
es of
g 7
units. Also used with i and / for entering Feet-Inch
values. Repeated presses of
toggle between fractional Feet-Inch and decimal Feet.
Inch
— Identies entry as Inches, with repeated
presses toggling between linear, area and volume
units. Entry can be whole or decimal numbers. Also
used with / for entering fractional Inch values (e.g.,
9i1/2
toggle between fractional and decimal Inches.
Fraction Bar
can 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 accuracy setting is
automatically used. Results are always shown in
typical dimensional fractional format.
Identies entry as millimeters, with
— Identies entry as meters, with repeat-
toggling between linear, area and volume
during conversions
g 7
). Repeated presses during conversions
— Used to enter fractions. Fractions
B
6 — Ma c h i n i s t ca l c ™/ Ma c h i n i s t ca l c ™ Pr o
1/1000” (mils)
0.001 Inch and displays the result as Inches. Converts
a linear entry to decimal Inches. For both methods,
the result is rounded and displayed to three decimal
places.
— Multiplies a dimensionless entry by
Weight and Volume Function Keys
g6
g4
g3
g2
g1
g0
Trigonometric Function Keys (NOT AVAILABLE ON MODEL 4086)
g#
Tons — Enters or converts a weight or volume
value to tons.
Pounds (lbs) — Enters or converts a weight or
volume value to pounds.
Metric Tons (met tons) — Enters or converts a
weight or volume value to metric tons.
Grams — Enters or converts a weight or volume
value to grams.
Kilograms (kg) — Enters or converts a weight or
volume value to kilograms.
Weight per Volume (wt/vol) — Stores a new
weight per volume as pounds per cubic foot or
other format as shown below. Default value is 490
pounds per cubic foot of steel.
● Pounds per cubic foot
● Pounds per cubic inch
● Metric tons per cubic meter
● Kilograms per cubic meter
Sine
— Calculates the Sine of an entered degree or
unitless value.
ga
gF
gp
gc
Arcsine (ArcSine)
entered or calculated Sine value.
Cosine (Cos)
entered degree or unitless value.
Arccosine (ArcCos)
entered or calculated Cosine value.
Tangent (Tan)
entered degree or unitless value.
— Calculates the angle for the
— Calculates the Cosine of an
— Calculates the angle for the
— Calculates the Tangent of an
(cont'd)
Us e r 's GU i d e — 7
(cont'd)
gh
Miscellaneous Functions
g.
%
Arctangent (ArcTan)
entered or calculated Tangent value.
Degrees:Minutes:Seconds (dms◄►deg)
Converts between D:M:S and decimal degree
formats; repeated presses will toggle between the
two formats.
Percentage — Used to nd a given percent of a
number.
gD
Model 4086
x2 — Squares the value on the display.
g%
Model 4087
A
Model 4087
only
Backspace Function
keystroke at a time (unlike the O function, which
deletes the entire entry).
g %
Model 4086
gA
Model 4087
g,
Square Root ()
the number on the display.
Reciprocal (1/x)
number (
e.g.,
— Calculates the angle for the
— Used to delete entries one
— Calculates the Square Root of
— Finds the Reciprocal of a
8g,=
0.12 5).
—
g*
g-
g+
g=
8 — Ma c h i n i s t ca l c ™/ Ma c h i n i s t ca l c ™ Pr o
Clear All
settings. Does not affect Preference Settings.
Change Sign (+/–)
between negative and positive value.
Pi
— Displays value of π (3.1415927).
Paperless Tape (Tape)
Tape mode (see Paperless Tape section), which
keeps track of your past 30 entries. Useful for
checking strings of numbers.
— Returns all stored values to the default
— Toggle displayed value
— Accesses the Paperless
gS
Machinist Function Keys
Preference Settings (Prefs)
customizable settings, such as dimensional answer
formats (see Preference Settings section).
— Accesses various
C
R
gR
Model 4087
only
f
Cutting Speed
Speed. Unitless entries assumed feet per minute
in U.S. mode; meters per minute in Metric mode.
Calculates Cutting Speed given entered Diameter
and RPM (Spindle Speed). Result is displayed as a
whole number.
Revolutions per Minute
RPM (Spindle Speed). Calculates RPM given entered
Diameter and Cutting Speed. Result is displayed as a
whole number.
3-Wire Measurement (3-W Measure)
or calculates a Three-Wire Measurement. Unitless
entries assumed Inches in U.S. mode; millimeters in
Metric mode. Calculates the maximum Three-Wire
Measurement and Pitch Diameter given entered
Thread Size and Wire Size, as long as the selected
Thread Classication is set to an External thread
type. If a Three-Wire Measurement value is entered,
the Pitch Diameter calculation is based on this
entered measurement.
Feed Rate
Unitless entries assumed inches per minute in
U.S. mode; millimeters per minute in Metric mode.
Calculates Feed Rate given values for Cutting Feed
and RPM (Spindle Speed) or Feed per Tooth (Chip
Load), RPM and Number of Teeth. If all of these
values are entered, the calculation based on Cutting
Feed and RPM takes precedence.
— Enters or calculates Cutting
— Enters or calculates
— Enters
— Enters or calculates Feed Rate.
(cont'd)
Us e r 's GU i d e — 9
(cont'd)
gf
Model 4087
only
b
gb
Model 4087
only
gb
Model 4086
only
Wire Size
3-Wire Measurements. Unitless entries assumed
Inches in U.S. mode; millimeters in Metric mode.
Calculates the recommended Best (Ideal), Maximum
and Minimum Wire Sizes given an entered Thread
Size.
Bolt Pattern
Bolt Pattern. Calculates the hole Center-to-Center
Spacing and the x and y coordinates for each hole
in a Bolt Pattern given entered Diameter, Number of
Bolt Holes, Starting Angle (optional) and Center x and
y coordinates (optional; Model 4087 only).
Thread Classication (Thread Class)
to select the Thread Class for numeric and fractional
Threads and the Tolerance Class for metric Threads.
The default Class for numeric and fractional Thread
Sizes is 2B (Internal) and the default Tolerance
Class for metric Thread Sizes is 6H (Internal). See
Thread Sizing section for further details on available
Classes.
Starting Angle (Start Angle) — Enters the Starting
Angle of the rst hole of a Bolt Pattern, with 0° being
the three o’clock position and the rotation going
counterclockwise.
— Enters or calculates Wire Size for
— Enters the number of holes in a
— Used
t
gt
Model 4087
only
10 — Ma c h i n i s t ca l c ™/ Ma c h i n i s t ca l c ™ Pr o
Thread Size
Thread Size and provides Thread characteristics
such as Cut Tap Drill Size, Minimum Major Diameter,
etc. See Thread Sizing section for further details on
entry format, valid entries and a listing of the resulting
Thread characteristics.
% Thread
Percentage for use in determining screw Tap Drill
Sizes. Default value is 75%.
— Enters a numeric, fractional or metric
— Enters a non-standard Thread Grip
D
Drill Size
or metric Drill Size, displaying the decimal Inch
equivalent of the Drill Size. The next smaller Drill Size
is displayed if the entered value doesn’t match a Drill
Size. Repeated presses of D or + toggle through
Drill Sizes in increasing order. Presses of - toggle
through Drill Sizes in decreasing order. Selected Drill
Size is stored upon exiting function.
— Enters a numeric, letter, fractional
gD
Model 4087
only
#
F
c
d
Drill Point
Point. Calculates the Drill Point Cut Depth that needs
to be taken into account when it’s necessary to
maintain a specic full diameter depth.
Number of Teeth
a tool. Default value is 1.
Feed per Tooth
Tooth (Chip Load). Unitless entries assumed Inches
in U.S. mode; millimeters in Metric mode. Calculates
Feed per Tooth given entered Cutting Feed and
Number of Teeth or RPM (Spindle Speed), Feed
Rate and Number of Teeth. If all of these values are
entered, the calculation based on Cutting Feed and
Number of Teeth takes precedence.
Cutting Feed
Unitless entries assumed inches per revolution in
U.S. mode; millimeters per revolution in Metric mode.
Calculates Cutting Feed given entered Feed per
Tooth (Chip Load) and Number of Teeth or Feed Rate
and RPM (Spindle Speed). If all of these values are
entered, the calculation based on Feed per Tooth and
Number of Teeth takes precedence.
Diameter
Area and Circumference given entered Diameter.
On Model 4087, calculates Diameter given entered
Radius.
— Enters the Cutting Angle of a Drill
— Enters the Number of Teeth on
— Enters or calculates Feed per
— Enters or calculates Cutting Feed.
— Enters a Diameter and calculates circle
(cont'd)
Us e r 's GU i d e — 11
(cont'd)
gd
Model 4087
only
g8
a
Model 4087
only
p
Model 4087
only
h
Model 4087
only
Radius
Radius given entered Diameter.
Alpha
While in this mode, a letter can be selected and
used with D to enter a letter Drill Size. Entering
this mode with a unitless entry between 1 and 26
will display the corresponding letter of the alphabet
(i.e.
mode, presses of 8 or + toggle forward through the
alphabet, while presses of - toggle backward.
Adjacent (x) — Enters or calculates the Adjacent
(horizontal) leg of a right triangle. Calculates Adjacent
value given two other right-triangle values. Also
enters the Center x-coordinate of a Bolt Pattern.
Opposite (y) — Enters or calculates the Opposite
(vertical) leg or height of a right triangle. Calculates
Opposite value given two other right-triangle values.
Also enters the Center y-coordinate of a Bolt Pattern.
Hypotenuse (r) — Enters or calculates the
Hypotenuse (diagonal) of a right triangle. Calculates
Hypotenuse value given two other right-triangle
values.
— Enters or calculates a Radius. Calculates
— Enters alphabet character selection mode.
5g8
displays the letter E). While in Alpha
n
Model 4087
only
12 — Ma c h i n i s t ca l c ™/ Ma c h i n i s t ca l c ™ Pr o
Angle (θ) — Enters or calculates an Angle, providing
the Adjacent Angle for both instances. Calculates
an Angle given two other right-triangle values. Also
enters the Starting Angle of the rst hole of a Bolt
Pattern, with 0° being the three o’clock position and
the rotation going counterclockwise.
SETTINg FracTIONal rESOluTIONS
The Machinist Calc and Machinist Calc Pro are set to display
fractional answers in 64ths of an Inch. All examples in this User’s
Guide are based on 1/64”. However, you may select Fractional
Resolution to be displayed in other formats (e.g., 1/16”, 1/32”, etc.).
The methods for permanently and temporarily changing Fractional
Resolution are shown in the following sections.
Permanently Set Fractional Resolution
To permanently set the Fractional Resolution, you must be in
Preference Setting mode.
KEYSTROKEDI SPL AY
1. Access Preference Settings:
gS
2. Toggle through available Fractional Resolutions:
+
+
+
+
+
+
3. To permanently set the Fractional Resolution you have
(Prefs)FRAC 0-1/64 INCH*
FRAC 0-1/2 INCH
FRAC 0-1/4 INCH
FRAC 0-1/8 INCH
FRAC 0-1/16 INCH
FRAC 0-1/32 INCH
(repeats options)FRAC 0-1/64 INCH
selected above, press O (or any key) to set the displayed
Fractional Resolution and exit Preference Settings.
O
4. To recall your selected Fractional Resolution:
r/
* 1/64” is the default setting. The display may differ from the example
depending on what the resolution is currently set to.
STD 0-1/64 INCH
0.
Us e r 's GU i d e — 13
Temporarily Set Fractional Resolution
You can also convert a fractional value to a different resolution
temporarily while solving a problem. In the example below, add
1/64th
to 44/64th of an Inch and then convert the answer to other
Fractional Resolutions:
KEYSTROKEDI SPL AY
OO
44/64
+1/64=
(1/16)
g1
(1/2)
g2
(1/32)
g3
(1/4)
g4
(1/64)
g6
(1/8)
g8
OO
* Changing the Fractional Resolution on a displayed value does not
alter your Permanent Fractional Resolution Setting (set in Preference
Settings).
Note: This setting is temporary; it will revert back to your Permanent
Fractional Setting upon press of
off.
*0.
or when you turn the calculator
O
0-44/64 INCH
0-45/64 INCH
0-11/16 INCH
0-1/2 INCH
0-23/32 INCH
0-3/4 INCH
0-45/64 INCH
0-3/4 INCH
0.
PrEFErENcE SETTINgS
Press g, then S to access the Preferences menu. Continue
pressing S to toggle through different Preferences. Press
or - keys to toggle between options of the different
+
Preferences. Press O to exit Preferences. Your calculator
will keep your Preference Settings until a Full Reset alters
your settings to the default values (see Appendix for more
information).
14 — Ma c h i n i s t ca l c ™/ Ma c h i n i s t ca l c ™ Pr o
KEYSTROKEDI SPL AY
gSS
(Functional Result Rounding)F-RND 0.0000
+
+
(repeats options)F-RND 0.0000
+
Third press of
(Default Unit Format)US UnITS
+
(repeats options)US UnITS
+
Fourth press of
(Area Answer Format)AREA Std.
+
+
+
(repeats options)AREA Std.
+
Fifth press of
(Volume Answer Format)VOL Std.
+
+
+
(repeats options)VOL Std.
+
Sixth press of
(Fractional Mode)FRAC Std.
+
(repeats options)FRAC Std.
+
Seventh press of
(Mathematical Operation)MATH OrDEr
+
(repeats options)MATH OrDEr
+
(Prefs)
S
S
S
S
:
:
:
S
F-RND 0.000
F-RND FLOAT
METRC UnITS
:
AREA 0. SQ FEET
AREA 0. SQ INCH
AREA 0. SQ M
VOL 0. CU FEET
VOL 0. CU M
VOL 0. CU INCH
FRAC COnST
:
MATH CHAIn
Us e r 's GU i d e — 15
ENTErINg DImENSIONS
Note: Unlike other Calculated Industries/Construction Master
calculators, the Machinist Calc and Machinist Calc Pro do not have a
dedicated Feet key. Feet is a secondary function located above the
key, so you have to use the g key, then 7 to enter or calculate
7
dimensions using Feet. Below are some examples.
Enter 2 Feet, then label as square and cubic units:
DIMENSIONSKEYSTROKEDI SPL AY
2 Feet
2 square Feet
2 cubic Feet
Enter 2 Feet, 3 Inches:
KEYSTROKEDI SPL AY
2g73i
Linear Dimensions
2g7
g7
g7
2 FEET 3 INCH
2 FEET
2 SQ FEET
2 CU FEET
Examples of how linear dimensions are entered (press
after each entry):
DIMENSIONSKEYSTROKE
23 mils
4.5 Inches
95 millimeters
1,320 Feet
201 meters
16 — Ma c h i n i s t ca l c ™/ Ma c h i n i s t ca l c ™ Pr o
1320g7
201g9
O
23B
4.5i
95m
Square and Cubic Dimensions
Examples of how square and cubic dimensions are entered
(press
DIMENSIONSKEYSTROKE
14 square Inches
11 square millimeters
1.5 cubic meters
3 cubic Feet
cONvErSIONS
Linear Conversions
Convert 10 Feet 6 Inches to other dimensions, including
metric:
KEYSTROKEDI SPL AY
after each entry):
O
14ii
11mm
1.5g999
3g7g7g7
OO
10g76i
g
g7
g
*126.000 INCH
B
(Feet)10.5 FEET
i
gm
g5
g9
(cm)320.04 CM
(m)3.2004 M
10 FEET 6 INCH
126. INCH
3200.4 MM
0.
*Converting a linear value using the B key will result in the decimal
Inch equivalent of the value, rounded to three decimal places. Only
unitless values are multiplied by 0.001 Inches when using this key.
(cont'd)
Us e r 's GU i d e — 17
(cont'd)
Convert 15 Feet 9-1/2 Inches to decimal Feet. Then convert
back to Feet-Inch-Fractions.
KEYSTROKEDI SPL AY
OO
15g79i1/2
g7
g7
Convert 17.32 Feet to Feet-Inch-Fractions:
KEYSTROKEDI SPL AY
(Feet)15.791667 FEET
15 FEET 9-1/2 INCH
15 FEET 9-1/2 INCH
OO
(Feet)
17.32g7
=g7
17 FEET 3-27/32 INCH
g7
g
i
g7g7
Convert 8-1/8 Inches to decimal Inches. Then convert to
decimal Feet.
KEYSTROKEDI SPL AY
17 FEET 3-27/32 INCH
17.32 FEET
17.32 FEET
207.84 INCH
OO
8i1/8
g
i
g7
(Feet)0.6770833 FEET
8-1/8 INCH
8.12 5 INCH
0.
0.
0.
Convert 9.0625 Inches to fractional Inches. Then convert to
decimal Feet.
KEYSTROKEDI SPL AY
OO
9.0625i
g7
18 — Ma c h i n i s t ca l c ™/ Ma c h i n i s t ca l c ™ Pr o
(Feet)0.7552083 FEET
9.0625 INCH
0.
Square and Cubic Conversions
Convert 6 square Feet to other square dimensions:
KEYSTROKEDI SPL AY
OO
6g7g7
gm
g9
g5
Convert 0.05 cubic meters to other dimensions:
KEYSTROKEDI SPL AY
(m)0.5574182 SQ M
(cm)5574.1824 SQ CM
(Feet)6 SQ FEET
557418.24 SQMM
OO
.05g999
gm
g5
(cm)50000. CU CM
gi
g7
Weight Conversions
Convert 1.5 tons to pounds and kilograms:
KEYSTROKEDI SPL AY
(Feet)1.7657333 CU FEET
(m)0.05 CU M
50000000. CU MM
3051.1872 CU INCH
OO
1.5g6
g1
g4
(kg)1360.7771 KG
(lbs)3000. LBS
(tons)1.5 TON
0.
0.
0.
Weight per Volume and Volume Conversions
Convert 2 cubic Feet of stainless steel to pounds, tons,
kilograms, and metric tons if the steel weighs 7,480 kilograms
per cubic meter.
Us e r 's GU i d e — 19
(cont'd)
(cont'd)
KEYSTROKEDI SPL AY
OO
1. Store the weight per volume:
*
7480S0000
2. Enter steel volume:
(wt /vol)
2 g7 g 7g 7
3. Convert to pounds, tons, kilograms and metric tons:
g4
g6
g1
g3
4. Change the weight per volume back to the default value:
490S00
* The number of 0 presses may vary, depending on the last units
displayed when wt/vol was last recalled/stored. By default, pounds per
cubic foot is displayed rst.
BaSIc maTH OPEraTIONS
(lbs)933.92229 LBS
(tons)0.4669611 TON
(kg)423.62003 KG
(met tons)0.42362 MTON
(wt /vol)
7480. KG/ CU M
2 CU FEET
490. LBS/ CU FEET
0.
Adding and Subtracting Dimensions
Add the following measurements:
• 6 Feet 2-1/2 Inches
• 11 Feet 5-1/4 Inches
• 18.25 Inches
Then subtract 2-1/8 Inches.
KEYSTROKEDI SPL AY
6g72i1/2+
11g75i1/4+
18.25i=
-2i1/8=
20 — Ma c h i n i s t ca l c ™/ Ma c h i n i s t ca l c ™ Pr o
6 FEET 2-1/2 INCH
17 FEET 7-3/4 INCH
19 FEET 2 INCH
18 FEET 11-7/8 INCH
Multiplying Dimensions
Multiply 5 Feet 3 Inches by 11 Feet 6-1/2 Inches:
KEYSTROKEDI SPL AY
5g73i*
11g76i1/2=
Multiply 2 Feet 7 Inches by 10:
KEYSTROKEDI SPL AY
2g77i*10=
Dividing Dimensions
Divide 30 Feet 4 Inches by 7 Inches:
KEYSTROKEDI SPL AY
30g74i,7i=
Divide 20 Feet 3 Inches by 9:
KEYSTROKEDI SPL AY
52.
20g73i,9=
Calculating Percentages
5 FEET 3 INCH
60.59375 SQ FEET
25 FEET 10 INCH
2 FEET 3 INCH
The %
number or for working add-on, discount or division percentage
calculations. It can be used with any type of number, in
any dimension (Feet, Inch, millimeter, etc.) and any type of
convention (non-dimensioned, linear, square or cubic).
Find 18% of 50 Feet:
KEYSTROKEDI SPL AY
OO
50g7*18%
Take 20% from 17 Feet 6 Inches:
key can be used for nding a given percent of a
0.
9 FEET 0 INCH
(cont'd)
Us e r 's GU i d e — 21
(cont'd)
KEYSTROKEDI SPL AY
17g76i-20%
mEmOrY OPEraTION
Whenever the M key is pressed, the displayed value will be
added to the Memory. Other Memory functions:
FUNCTIONKEYSTROKE
Add to Memory
Subtract from Memory
Recall total in Memory
Display/Clear Memory
Clear Memory
Memory is semi-permanent, clearing only when you do one of
the following:
– turn off the calculator
– press
– press
– press
rr
gr
g*
(Clear All).
14 FEET 0 INCH
M
gM
rM
rr
gr
When Memory is recalled (
will display the calculated Average and total Count of the
M
accumulated values.
Using M+
KEYSTROKEDI SPL AY
355M
255M
745gM
(M-)
rM
M
M
rr
22 — Ma c h i n i s t ca l c ™/ Ma c h i n i s t ca l c ™ Pr o
), consecutive presses of
r M
TOTAL - 135.
M+ 355.
M+ 255.
M- 745.
AVG - 45.
COUNT 3.
M+ - 135.
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