Calculated Industries 4090 User manual

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PRG4090E-C_COVER.ai 1 11/20/2020 2:01:43 PMPRG4090E-C_COVER.ai 1 11/20/2020 2:01:43 PM

POCKET REFERENCE GUIDE — 1
The Sheet Metal/HVAC Pro Calc
calculator helps you save time and
prevent costly errors!
Quickly Solve:
• Feet-Inches-Fractions, Metric
Dimensional Problems and
Conversions
• Problems Involving All Fractions
— 1/2-1/64ths!
• Trigonometry Keys
• Law of Cosines
• Offsets
• Fan Laws 1, 2 and 3
• Velocity/Velocity Pressure
• Right Angle/Rafters
• Stair Layout
• Areas and Volumes
• Circle/Arc, Columns/Cone Area
and Volume
• And more!
SHEET METAL/HVAC PRO CALC

POCKET REFERENCE GUIDE — 2
KEY DEFINITIONS..................................4
Dimension Keys...................................4
Miscellaneous Functions .....................4
Trig. Keys.............................................5
Pythagorean Theorem Keys................6
Law of Cosines Keys...........................6
Offset Keys..........................................7
Fan Law Keys......................................7
Velocity Pressure/FPM Keys ...............8
Circle/Arc Keys....................................9
Column/Cone Key..............................10
Right Triangle/Roof Framing Keys.....10
Stair Layout Key ................................11
EXAMPLES...........................................13
Adding and Subtracting Strings of
Dimensions....................................13
Dividing Dimensions..........................13
Converting Feet-Inches to Decimal
Feet................................................14
Converting Feet-Inches to Meters
and Millimeters ..............................14
Converting Fractions to Decimals
(and Vice Versa)............................14
Circle Circumference and Area..........15
Rectangular Area and Volume...........15
Area of a Triangle..............................16
TABLE OF CONTENTS

POCKET REFERENCE GUIDE — 3
Volume of a Cylinder .........................16
Cubed Function .................................17
Cubed Root........................................17
Scientific Notation..............................17
Converting D:M:S ..............................18
Finding Sine, Cosine, Tangent...........18
Finding ArcSin, ArcCos, ArcTan.........19
Using Trigonometry to Find
Unknown Side ...............................19
Offset Basic Example........................20
Law of Cosines/Triangle Area............21
Fan Law 1..........................................22
Fan Law 2..........................................23
Fan Law 3..........................................24
Converting Velocity Pressure ............25
Converting FPM.................................26
RIGHT ANGLE/FRAMING ....................27
Degree of Pitch..................................27
Angle and Hypotenuse......................28
Common Rafter Length.....................29
Regular Hip/Valley and Jacks............30
Irregular Hip/Valley ............................31
STAIRS..................................................32
Stairs —
Given Rise and Run ...........32
APPENDIX ............................................33
Preference Settings...........................33
Battery and Warranty Information......33

POCKET REFERENCE GUIDE — 4
Dimension Keys
mMeters
Ç m Millimeters
fFeet
iInch
/Fraction Bar
Miscellaneous Functions
BBackspace Key
Ç x Clear All
Ç ÷ (1/x) Reciprocal
Ç – (+/–) Toggle
Ç + (%) Percent
Ç = Pref. Settings (see large
User’s Guide for details)
Ç • Converts between d:m:s
and decimal degrees
XSquares the value in the
display
Ç X
x3 — Cubes the value in
the display
KEY DEFINITIONS

POCKET REFERENCE GUIDE — 5
√Square root
Ç √ Cube root
Ç / Exponent (x10y)
µ(M+) Memory +
Ç µ (M–) Memory –
® ® Recall and Clear M+
Ç 1 (M1) Storage Register M1
Ç 2 (M2) Storage Register M2
Ç 3 (M3) Storage Register M3
® µ,Recall M+, M1, M2 or M3
1, 2, or 3
Trig. Keys
SFinds the sine of a degree
or undimensioned value
Ç S
Arcsine (sin-1) — Gives
the angle for the sine value
çFinds the cosine
Ç ç
Arccosine (cos-1) —
Gives the angle for the
cosine value
tFinds the tangent

POCKET REFERENCE GUIDE — 6
Ç t Arctangent (tan-1) —
Gives the angle for the
tangent value
Pythagorean Theorem Keys
REnters or calculates “x” or
the horizontal leg of a right
triangle
rEnters or calculates “y” or
the vertical leg of a right
triangle
dEnters or calculates “r” or
the hypotenuse (diagonal)
leg of a right triangle
pEnters or calculates the
“theta” or the pitch/slope of
a right triangle
Law of Cosines Keys
Ç 9 Calculates angles A, B and
C, as well as triangle area,
given below entries
Ç 4 Enters Side “a” of a triangle
Ç 5 Enters Side “b” of a triangle
Ç 6 Enters Side “c” of a triangle

POCKET REFERENCE GUIDE — 7
Offset Keys
Ç ( Calculates offset measure-
ments including: center-
line radius, wrapper
length/stretch-out, heel
radius, throat radius and
theta, given below entries
REnters the actual length “x”
rEnters the offset “y”
Ç 4 Enters length of “end a”
Fan Law Keys
Ç R
Fan Law 1 — Calculates
the missing variable (e.g.,
“a-new” or “b-new”, for
CFM new or RPM new) for
Fan Law 1, given the three
known variables into the
applicable Storage
Registers below
Ç r
Fan Law 2 — Calculates
the missing variable (e.g.,
“a-new” or “b-new”, for
CFM new or SP new) for
Fan Law 2

POCKET REFERENCE GUIDE — 8
Ç d Fan Law 3 — Calculates
the missing variable (e.g.,
“a-new” or “b-new”, for
CFM new or BHP new) for
Fan Law 3
STORAGE REGISTERS USED FOR FAN LAWS:
Ç 4 Enters “a-old” or current
“a” value
Ç 7 Enters “a-new”
Ç 5 Enters “b-old” or current
“b” value
Ç 8 Enters “b-new”
Velocity Pressure/FPM Keys
Ç 0 VP § © FPM
Press Result
1 Calculates velocity
(FPM)
– assumes
entry is velocity
pressure
2
Calculates velocity
pressure
–
assumes entry is
velocity (FPM)
(Cont’d)

POCKET REFERENCE GUIDE — 9
(Cont’d)
Press Result
3 Calculates Metric
velocity (MPS)
–
assumes entry is
kPA
4
Calculates Metric
velocity pressure
(kPA)
– assumes
entry is MPS
Circle/Arc Keys
C
Circle — Calculates cir-
cumference and circle
area
Ç p
Radius — Enters or calcu-
lates circle radius
Ç C
Arc — Calculates: arc
length or degree, chord
length, segment area, pie
slice area, segment rise,
and length of arched wall
studs
π
Pi ( π ) — 3.141593
Ç π
ArcK — constant =
0.017453

POCKET REFERENCE GUIDE — 10
Column/Cone Key
Ç )
Column/Cone —
Calculates volume and
surface area of column or
cone upon consecutive
presses of )following Ç
Right Triangle/Roof Framing Keys
p
(Theta) Enters/calculates the
pitch/slope (amount of
“Rise” over 12” of “Run”)
R
(Run) Enters or calculates the
horizontal leg of a right
triangle
r
(Rise) Enters or calculates the
vertical leg of a right
triangle
d
(Diag) Enters or calculates the
diagonal leg/hypotenuse,
or Common rafter length
HCalculates length of the
regular or irregular
Hip/Valley rafter
Ç H Enters irregular pitch used
to calculate lengths of the
irregular Hip/Valley and
Jack rafters

POCKET REFERENCE GUIDE — 11
jCalculates Jack rafter
lengths on the regular-
pitched roof side
Ç j Calculates Jack rafter
lengths on the irregular-
pitched roof side
Stair Layout Key
sGiven rise and/or run and
stored* variables, calcu-
lates or displays:
Press Result
1 Riser Height
2 Number of Risers
3 Riser Overage/
Underage
4 Tread Width
5 Number of Treads
6 Tread Overage/
Underage
7 Stairwell Opening
8 Stringer Length
9 Angle of Incline
10 Run (entered or
calculated)
11 Rise (entered or
calculated)
(Cont’d)

POCKET REFERENCE GUIDE — 12
(Cont’d)
Press Result
12 Stored Riser
Height*
13 Stored Tread
Width*
14 Stored Headroom
Height*
15 Stored Floor
Thickness*
STAIR DEFAULT (STORED) VALUES
• 7-1/2” Desired Riser Height
• 10” Desired Tread Width
• 10” Floor Thickness (used in
calculation of Stairwell Opening)
• 6’8” Headroom Height
*Note: See large User’s Guide for details on
Customizable Stair Settings.

POCKET REFERENCE GUIDE — 13
Note: This pocket guide is limited due to space;
see large User’s Guide for more examples and
details on calculator features.
Adding and Subtracting Strings of
Dimensions
Add the following measurements:
• 6 feet 2-1/2 inches
• 18.25 inches
• 2.5 meters
Then subtract 5.5 feet:
KEYSTROKE DISPLAY
6 f 2 i 1 / 2 +
1 8 • 2 5 i +
2 • 5 m = 15 FEET 11-3/16 INCH
– 5 • 5 f = 10 FEET 5-3/16 INCH
Dividing Dimensions
Divide 15 feet 3-3/4 inches into thirds
(divide by 3):
KEYSTROKE DISPLAY
1 5 f 3 i 3 / 4 ÷ 3 =
5 FEET 1-1/4 INCH
EXAMPLES

POCKET REFERENCE GUIDE — 14
Converting Feet-Inches to
Decimal Feet
Convert 5’ 7-1/2” to decimal feet, then deci-
mal inches (also, convert to fractional inches):
KEYSTROKE DISPLAY
5 f 7 i 1 / 2 5 FEET 7-1/2 INCH
Ç f 5.625 FEET
i67.5 INCH
i67-1/2 INCH
Converting Feet-Inches to Meters and
Millimeters
Convert 8’ 6” to meters and millimeters:
KEYSTROKE DISPLAY
8 f 6 i Ç m 2.591 M
m (mm) 2590.8 MM
Converting Fractions to Decimals (and
Vice Versa)
Convert 7/32” to decimal inch (and round
answer). Then convert 5.875” to the
nearest 16ths of an inch:
KEYSTROKE DISPLAY
7 / 3 2 Ç i 0.21875 INCH
(Answer = 0.219”)
5 • 8 7 5 i Ç i 5-7/8 INCH

POCKET REFERENCE GUIDE — 15
Circle Circumference and Area
Find the circumference and area of a
circle with a diameter of 25 inches:
KEYSTROKE DISPLAY
o o 0.
2 5 i C DIA 25 INCH
CCIRC 78-9/16 INCH
CAREA 490.8739 SQ INCH
Rectangular Area and Volume
Find the area and volume:
• Length: 20 feet 6-1/2 inches
• Width: 12 feet 8-1/2 inches
• Height: 18 inches
KEYSTROKE DISPLAY
2 0 f 6 i 1 / 2 x
20 FEET 6-1/2 INCH
1 2 f 8 i 1 / 2 =
261.0503 SQ FEET
x 1 8 i = 391.5755 CU FEET

POCKET REFERENCE GUIDE — 16
Area of a Triangle
Find the area of a triangle if its base is
45” and altitude/height is 30”:
KEYSTROKE DISPLAY
4 5 i ÷ 2 = 22-1/2 INCH
x 3 0 i = 675. SQ INCH
Volume of a Cylinder
Find the volume of a cylinder with a
diameter of 2 feet 4 inches and a height
of 4 feet 6 inches:
Note: Use Column/Cone function.
KEYSTROKE DISPLAY
1. Enter diameter to find circle area:
o o 0.
2 f 4 i C C C
AREA 4.276057 SQ FEET
2. Enter height and find volume:
4 f 6 i r Ç )
COL 19.24226 CU FEET

POCKET REFERENCE GUIDE — 17
Cubed Function
What is 503?
KEYSTROKE DISPLAY
o o 0.
5 0 Ç X 125000.
Cubed Root
What are the three dimensions of a cube
with a volume of 2028 in3?
KEYSTROKE DISPLAY
o o 0.
2 0 2 8 Ç √ 12.65773 (INCH)
Scientific Notation
Add 1.78x1010 and 3.90x109:
KEYSTROKE DISPLAY
o o 0.
1 • 7 8 Ç / 1 0 + 3 • 9
Ç / 9 = 2.1700010

POCKET REFERENCE GUIDE — 18
Converting D:M:S
Convert 23°42’39” to decimal degrees:
KEYSTROKE DISPLAY
o o 0.
2 3 • 4 2 • 3 9 DMS 23.42.39
Ç • 23.71083°
Finding Sine, Cosine, Tangent
Find Sin 12°, Cos 33° and Tan 75°:
KEYSTROKE DISPLAY
o o 0.
1 2 S 0.207912
3 3 ç 0.838671
7 5 t 3.732051

POCKET REFERENCE GUIDE — 19
Finding ArcSin, ArcCos, ArcTan
Find angle A if Sin A=0.57544, Cos
A=0.06753 and Tan A=0.87421; round to
the nearest whole angle:
KEYSTROKE DISPLAY
o o 0.
• 5 7 5 4 4 Ç S
35.13045°
(35°)
• 0 6 7 5 3 Ç ç86.12787°
(86°)
• 8 7 4 2 1 Ç t41.16028°
(41°)
Using Trigonometry to Find
Unknown Side
Using the Pythagorean Theorem (a2+ b2
= c2) keys, find Side a (“x”) of a right trian-
gle, if Side b (“y”) is 6-1/2” and Side c
(“r”), the hypotenuse, is 12-1/16”:
Note: Use the calculator’s x, y and r keys; sub-
stitute triangle legs a, b and c for
R , r and d .
KEYSTROKE DISPLAY
o o 0.
6 i 1 / 2 r Y 6-1/2 INCH
1 2 i 1 / 1 6 d R 12-1/16 INCH
RX 10-3/16 INCH