Calculated-industries 4090 User Manual

SHEET METAL HVAC PROModel 4090User’s Guide

USER’S GUIDE —9i Enters or converts to Inches. Also used with the /key for entering fractional inch values (e.g., 9i1/2).Note: Repeated presses after

USER’S GUIDE —99Stairs — Given Rise and RunYou need to build a stairway with a floor-to-floor height of 10 Feet 1Inch, a Run of 15 Feet 5 Inches, and

100 — ITI SHEET METAL/HVAC PROBaluster SpacingYou are going to install a handrail at the top of a balcony. Your totalSpan is 156 Inches and you would

USER’S GUIDE — 101The Sine of an angle is the ratio of the opposite side over theHypotenuse:The Cosine of an angle is the ratio of the adjacent side o

102 — ITI SHEET METAL/HVAC PROAREA FORMULASAPPENDIX B — AREA / VOLUME FORMULAS

USER’S GUIDE — 103SURFACE AREA / VOLUME FORMULAS

104 — ITI SHEET METAL/HVAC PROWith Offset = “y” and Length = “x,”WrapperLength (aka StretchOut) = CenterlineRadius * ArcK * 4θHeelRadius = CenterlineR

USER’S GUIDE — 105Law of CosinesLaw of SinesHeron’s TheoremTan =A2rs–a()Tan =B2rs–b()Tan =C2rs–c()s= (a+b+c)12ACaBcba=b=c=2Rsin A sin B sin CRABaCbca2

106 — ITI SHEET METAL/HVAC PROFanLaw1FormulaFanLaw2FormulaFanLaw3FormulaAfter a Full Reset/Clear All, your calculator will return to the followingsett

USER’S GUIDE — 107Your calculator has Preference Settings that allow you to customizeor set desired dimensional formats and calculations. See the list

108 — ITI SHEET METAL/HVAC PRO(Cont’d)PREFERENCE OPTIONS3) Volume Display Format — *Standard (if units entered are thesame — e.g., Feet x Feet x Feet

10 — ITI SHEET METAL/HVAC PROYour calculator has standard trigonometric keys, in addition to RightTriangle keys (e.g., R, r, d and p), for advanced Ri

USER’S GUIDE — 109(Cont’d)PREFERENCE OPTIONS8) Irregular Jack Rafters — *OC-OC (On-Center spacingO-C or Mate maintained on both Regular andIrregular s

110 — ITI SHEET METAL/HVAC PROHow to Set PreferencesThe following sections detail Preference Setting options.Enter the Preference Mode by pressing Ç=(

USER’S GUIDE — 111Accessing Preference SettingsTo Set “Fractional Resolution”:KEYSTROKE DISPLAYÇ=(Prefs) (first press of =) FRAC 0-1/16 INCH+ (plus si

112 — ITI SHEET METAL/HVAC PRO(Cont’d)To Increase or Decrease Floor Thickness from Default of 10”:KEYSTROKE DISPLAY= (sixth press of =) FLOR 10 INCH+*

USER’S GUIDE — 113(Cont’d)To Set Mathematical Operations Method:KEYSTROKE DISPLAY= (twelfth press of =) MATH OrdEr+ (plus sign) MATH CHAInTo Set Fract

114 — ITI SHEET METAL/HVAC PROAccuracy/ErrorsAccuracy/Display Capacity — Your calculator has a twelve-digitdisplay made up of eight digits (normal dis

USER’S GUIDE — 115Auto Shut-OffYour calculator is designed to shut itself off after about 8-12 Minutesof non-use.Battery(ies)• Two LR44 batteries.Repl

116 — ITI SHEET METAL/HVAC PROWARRANTY, REPAIR AND RETURN INFORMATIONReturn Guidelines1. Please read the Warrantyin this User's Guide to determin

USER’S GUIDE — 117Warranty Repair Service – U.S.A.Calculated Industries (“CI”) warrants this product against defects in materi-als and workmanship for

118 — ITI SHEET METAL/HVAC PROINCIDENTAL, OR CONSEQUENTIAL DAMAGES RESULTING FROM ANYDEFECT IN THE PRODUCT OR ITS DOCUMENTATION.The warranty, disclaim

USER’S GUIDE —11Using the Pythagorean Theorem, the top row of keys on your ITISheet Metal/HVAC Pro provides instant solutions in dimensional formatto

USER’S GUIDE — 119Accessing Preference Settings, 111ACCURACY, AUTO SHUT-OFF, BATTERIES, ERRORS (APPENDIX I), 114Accuracy/Errors, 114Adding and Subtrac

120 — ITI SHEET METAL/HVAC PRODegree of Pitch, 86Dividing Dimensions, 29Dividing Offset into Multiple Degreed Elbows for Manageable Sections, 51D:M:S

USER’S GUIDE — 121Reset Key, 115RIGHT TRIANGLE and ROOF FRAMING EXAMPLES, 84Rise, 88Rise and Diagonal, 88Roof Framing Definitions, 84Scientific Notati

Designed in the United States of AmericaPrinted in China10/09UG4090E-C

12 — ITI SHEET METAL/HVAC PROLAW OF COSINES / NON-90 DEGREE TRIANGLE KEYSÇ9 Law of Cosines — These keys are used for non-90degree triangle mathematics

USER’S GUIDE —13Right Triangle Functions:R Length of Unknown Side — Calculates Side “x” ofunknown Right Triangle.r Length of Unknown Side — Enters Sid

14 — ITI SHEET METAL/HVAC PROFAN LAW KEYSYour calculator also has built-in formulas and keys that calculate FanLaws 1, 2 and 3, for air flow calculati

USER’S GUIDE —15VELOCITY PRESSURE / FPM KEYSÇ0 VPß©FPM — Converts entry to Velocity (Feet perMinute - FPM), Velocity Pressure, Metric Velocity(MPS) an

16 — ITI SHEET METAL/HVAC PRO(Cont’d)If a Circle Diameter is entered into the C key andArc Degree (or Arc Length) entered into the Arcfunction (ÇC), f

USER’S GUIDE —17HIP/VALLEY and JACK RAFTER KEYSYour calculator uses the y (rise), x (run), r (diagonal), θ (pitch), ando.c. spacing values to calculat

18 — ITI SHEET METAL/HVAC PRO(Cont’d)• Subsequent presses of the H key will also dis-play Plumb, Level, and Cheek cut angle values indegrees.ÇH Irregu

USER’S GUIDE —1The custom-designed ITI Sheet Metal/HVAC Pro calculator wasspecifically created for sheet metal pro’s to ease the task of perform-ing m

USER’S GUIDE —19Çj Irregular Side Jacks — Operates same as j,but displays the rafter values from the irregularpitched side first.STAIR KEYYour calcula

20 — ITI SHEET METAL/HVAC PROÇs Store Desired Riser Height — Stores a value otherthan the default desired stair Riser height of7-1/2 Inches (e.g., 8iÇ

USER’S GUIDE —21You may want to practice getting a feel for your calculator keys byreading through the key definitions and learning how to enter basic

22 — ITI SHEET METAL/HVAC PROUSING PARENTHESESYour calculator has Parentheses keys ( and ) for performingmathematical operations. (In the Order of Ope

USER’S GUIDE —23SETTING FRACTIONAL RESOLUTIONYour calculator is set to display fractional answers in 16ths, and allexamples in this User Guide are, th

24 — ITI SHEET METAL/HVAC PROSetting Fixed/Constant Fractional ResolutionYou can also program your calculator so that the displayed fractionwill alway

USER’S GUIDE —25ENTERING DIMENSIONSEntering Linear DimensionsWhen entering Feet-Inch-Fraction values, enter dimensions fromlargest to smallest — e.g.,

26 — ITI SHEET METAL/HVAC PROExamples of Square and Cubic Entry:FEETff— Square Feet(e.g., 5ffwill display 5.SQ FEET).fff— Cubic Feet(e.g., 5fffwill di

USER’S GUIDE —27CONVERSIONS (LINEAR, AREA, VOLUME)Linear ConversionsConvert 14 Feet to other dimensions:KEYSTROKE DISPLAYoo 0.14f 14 FEETÇi 168 INCHm*

28 — ITI SHEET METAL/HVAC PROConverting Decimal Inches to Fractional InchesConvert 9.0625 Inches to Fractional Inches. Then convert to DecimalFeet.KEY

2—ITISHEET METAL/HVAC PROKEY DEFINITIONS ...6BASIC OPERATION KEYS...

USER’S GUIDE —29PERFORMING BASIC MATH WITH DIMENSIONSAdding DimensionsKEYSTROKE DISPLAYAdd 11 Inches to 2 Feet 1 Inch:11i+2f1i= 3 FEET 0 INCHAdd 5 Fee

30 — ITI SHEET METAL/HVAC PROPercentage CalculationsPercent (Ç+) is used to find a given percent of a number or toperform add-on, discount or division

USER’S GUIDE —31MEMORY OPERATIONYour calculator has two types of Memory operations:1) A Standard, Cumulative, Semi-permanent Memory μ; and2) Three Sto

32 — ITI SHEET METAL/HVAC PROi. Basic Cumulative Memory (M+)Example 1:Store 100 into M+, add 200, then subtract 50. Clear the Memory:KEYSTROKE DISPLAY

USER’S GUIDE —33The ITI Sheet Metal/HVAC Pro calculator has keys and functionslabeled in common sheet metal/HVAC or construction terms. Justfollow the

34 — ITI SHEET METAL/HVAC PROBASIC EXAMPLESAdding Linear MeasurementsFind the total length of the following measurements: 5 Feet 4-1/2Inches, 8 Inches

USER’S GUIDE —35Adding and Subtracting Fractions of an InchAdd 1/2 Inch, 3/8 Inch and 11/16 Inch. Then subtract 5/8 Inch.KEYSTROKE DISPLAYoo 0.1/2+3/8

36 — ITI SHEET METAL/HVAC PROCircumference of a CircleFind the Circumference of a Circle if its Radius is 8 Feet 4 Inches:KEYSTROKE DISPLAYoo 0.8f4iÇp

USER’S GUIDE —37Area of a TriangleFind the Area of a Triangle if its base is 45 Inches and Altitude/Height is 30 Inches.KEYSTROKE DISPLAYoo 0.45i÷2= 2

38 — ITI SHEET METAL/HVAC PROVolume of a CylinderCalculate the Volume of a Cylinder with a Diameter of 2 Feet 4Inches and a Height of 4 Feet 6 Inches:

USER’S GUIDE —3Dividing Dimensions ...29Percentage Calculations ...

USER’S GUIDE —39Cubed FunctionWhat is the Cubed value of 10? What is 503?KEYSTROKE DISPLAYoo 0.10ÇX 1000.50ÇX 125000.Cubed Root FunctionExample 1:What

40 — ITI SHEET METAL/HVAC PROTRIGONOMETRIC FUNCTIONSTrigonometric functions are available on the ITI Sheet Metal/HVACPro calculator.The drawing and fo

USER’S GUIDE —41Finding Sine, Cosine, TangentFind Sine 12°, Cosine 33° and Tangent 75°:KEYSTROKE DISPLAYoo 0.12S 0.20791233ç 0.83867175t 3.732051Findi

42 — ITI SHEET METAL/HVAC PROUsing Trigonometry to Find Unknown Angle or SideExample 1 — Cos A:Solve for the unknown angle A if the two known sides ar

USER’S GUIDE —43Trig Examples (Cont’d)Example 2 — Sin A:Solve angle A of the offset below, if the two known sides are:Sidea=8InchesSidec=25InchesIn th

44 — ITI SHEET METAL/HVAC PROTrig Examples (Cont’d)Example 3 — Tan A:Find the length of the transition for a 20° angle:Side a = 18 InchesSide b = unkn

USER’S GUIDE —45Converting Pitch to Angle/TangentFind the angle and corresponding Tangent for a roof with an 8/12Pitch:KEYSTROKE DISPLAY1. Enter Pitch

46 — ITI SHEET METAL/HVAC PROVELOCITY PRESSURE / VELOCITY EXAMPLESThe Velocity Pressure/Velocity function uses an entered value tocalculate these four

USER’S GUIDE —47Converting FPM to Velocity PressureCalculate the Velocity Pressure (Imperial and Metric) if the FPM is500:KEYSTROKE DISPLAY1. Enter 50

48 — ITI SHEET METAL/HVAC PROOFFSET EXAMPLESOffset, Basic ExampleIf an offset is 5 Feet, the actual Length 10 Feet, and the Height ofthe “end A” equal

4—ITISHEET METAL/HVAC PRODividing Offset into Multiple Degreed Elbows forManageable Sections ...

USER’S GUIDE —49OGEE Offset in Feet-Inch-FractionsIf an offset is 12-5/8 Inches, the actual Length 45 Inches, and theHeight of the “end A” is 38 Inche

50 — ITI SHEET METAL/HVAC PROOGEE Offset, in MillimetersIf an offset is 573 Millimeters (mm), the actual Length 2045 mm, andthe Height of the “end A”

USER’S GUIDE —51Dividing Offset i nto Multiple Degreed Elbows for ManageableSectionsSolve the offset using the given variables:Actual Length “x”: 80-1

52 — ITI SHEET METAL/HVAC PRO(Cont’d)KEYSTROKE DISPLAY4. Calculate Centerline Radius, Wrapper Length, Heel Radius,Throat Radius and Theta:Ç( RAD 77-7/

USER’S GUIDE —53Change OGEE O ffsetSolve the Change OGEE Offset below, with Wrapper Size transitionsfrom one end to another.A) Solve Using:a. Actual L

54 — ITI SHEET METAL/HVAC PROB) Solve Using:a. Actual Length “x”: 52-5/8 Inchesb. Offset “y”: 25-3/16 Inchesc. End “a”: 34 InchesKEYSTROKE DISPLAY1. E

USER’S GUIDE —55LAW OF COSINES EXAMPLESField Measuring for Ductwork Using the Law of Cosines —IntroductionDimensions taken when measuring objects in t

56 — ITI SHEET METAL/HVAC PRONon-90 Degree Triangle Measurement Using Law of Cosinesand Heron’s TheoremThe Law of Cosines keys calculate the unknown a

USER’S GUIDE —57(Cont’d)KEYSTROKE DISPLAY1. Enter side a, b and c:oo 0.38f5iÇ4A38FEET 5 INCH23f4i9/16Ç5B23FEET 4-9/16 INCH26f1i13/16Ç6C26FEET 1-13/16

58 — ITI SHEET METAL/HVAC PROUsing Law of Cosines and Pythagorean Theorem to CalculateOffset, Length, and AngleIn field measuring, Offset, Length and

USER’S GUIDE —5Rise ...88Rise and Diagonal...

USER’S GUIDE —59(Cont’d)KEYSTROKE DISPLAY1. Enter side a, b and c:oo 0.35f8i3/4Ç4 A35FEET 8-3/4 INCH21f8i15/16Ç5B21FEET 8-15/16 INCH24f3i7/8Ç6 C24FEET

60 — ITI SHEET METAL/HVAC PROInline Duct, Single Offset (Computing Offset, Length, and Angle)When working with the process of direct measure between t

USER’S GUIDE —61(Cont’d)KEYSTROKE DISPLAY1. Enter side a, b, and c:oo 0.8f2i3/8Ç4 A8FEET 2-3/8 INCH42iÇ5 B42INCH6f10iÇ6 C6FEET 10 INCH2. Calculate and

62 — ITI SHEET METAL/HVAC PROInline Duct, Double Offset (Computing Offset, Length and Angle)This example (see diagrams below) depicts two ducts offset

USER’S GUIDE —63B) Input “Measured Triangle II” to find Triangle III:KEYSTROKE DISPLAY1. Enter side a, b, and c:oo 0.2088ÇmÇ4 A 2088. MM2096ÇmÇ5 B 209

64 — ITI SHEET METAL/HVAC PROC) Input Triangle V to Find Actual Length Between the Objects:KEYSTROKE DISPLAY1. Enter “y” from Triangle IV and enter as

USER’S GUIDE —65Objects at Right AnglesWhen you are working with objects at Right Angles, set up the“Measured Triangles” and subsequent calculations i

66 — ITI SHEET METAL/HVAC PRO1) Find the elevation offset “Ye” and the actual length “Xe” in D1:KEYSTROKE DISPLAY1. Enter sides a, b, and c:oo 0.7f9i7

USER’S GUIDE —672) Find actual length “Xe” in D2:KEYSTROKE DISPLAY1. Enter slant length as “r”:oo 0.11f8i13/16dR11 FEET 8-13/16 INCH2. Enter calculate

68 — ITI SHEET METAL/HVAC PRO3) Find the horizontal length ”Xp” between the objects and the hori-zontal offset “Yp” between the objects:KEYSTROKE DISP

6—ITISHEET METAL/HVAC PROBASIC OPERATION KEYSoOn/Clear — Turns power on. Pressing once clears thedisplay. Pressing twice clears all temporary values.O

USER’S GUIDE —69Calculating Angles Between Objects (“Angle Between”)The Triangle, having a total of 180°, is the basic logic used to solvefor the angl

70 — ITI SHEET METAL/HVAC PROCalculating Angles Between Objects ExampleLEGEND1 Existing Roof Curbto remain.2 New 20’ x 20’ ductdown through RoofCurb t

USER’S GUIDE —711) Find actual length “y” between objects in D1:KEYSTROKE DISPLAY1. Enter side a, b, and c:oo 0.8f11i11/16Ç4A8FEET 11-11/16 INCH1f7iÇ5

72 — ITI SHEET METAL/HVAC PRO2) Find actual length “y” between objects in D2:KEYSTROKE DISPLAY10i3/8R X 10-3/8 INCH9f8i9/16d R9FEET 8-9/16 INCHr Y9FEE

USER’S GUIDE —734) Input Triangle I and find Angles A and C:KEYSTROKE DISPLAY1. Enter side a, b, and c:oo 0.2f2iÇ4 A2FEET 2 INCH10f2i1/4Ç5 B10FEET 2-1

74 — ITI SHEET METAL/HVAC PRO5) Input Triangle II and find Angle A1 and the “Angle Between”:KEYSTROKE DISPLAY1. Enter side a2, b2, and recall c (“a2”

USER’S GUIDE —75FAN LAW EXAMPLESFan Law 1The formula for Fan Law 1 (built into this calculator) is:Fan laws use the temporary storage registers a, b,

76 — ITI SHEET METAL/HVAC PROFan Law 2The formula for Fan Law 2 (built into this calculator) is:Fan laws use the temporary storage registers a, b, a-n

USER’S GUIDE —77Fan Law 3The formula for Fan Law 3 (built into this calculator) is:Fan laws use the temporary storage registers a, b, a-new, and b-new

78 — ITI SHEET METAL/HVAC PROARC / CIRCLE EXAMPLESArc Length — Degree and Diameter KnownFind the Arc length of an 85° portion of a Circle with a 5-Foo

USER’S GUIDE —7Ç√ Cube Root Function — Used to find the Cube Rootof a non-dimensional or area value (e.g., 1000Ç√= 10).Ç/ x10y— Allows entry of an exp

USER’S GUIDE —79Arc Calculations — Arc Length and Diameter KnownFind the Arc Degree, Chord Length, Rise, Segment and Pie SliceArea, and Segment Rise,

80 — ITI SHEET METAL/HVAC PROArched/Circular Rake-Walls — Chord Length andSegment Rise KnownYou’re building a Circular or Arched Rake-Wall. Given a Ch

USER’S GUIDE —81(Cont’d)KEYSTROKE DISPLAY10. Find Arched wall stud lengths:C AW1 4 FEET 10-11/16 INCHC AW2 4 FEET 6-5/8 INCHC AW3 3 FEET 11-3/8 INCHC

82 — ITI SHEET METAL/HVAC PROCONCRETE/PAVINGSquaring-up a FoundationA concrete foundation measures 23 Feet 8 Inches by 45 Feet 6Inches. Find the diago

USER’S GUIDE —83Volume of ColumnsFind the Volume of five (5) Columns, if each has a Diameter of 3Feet 4-1/2 Inches and a Height of 11 Feet 6 Inches.No

84 — ITI SHEET METAL/HVAC PRORIGHT TRIANGLE and ROOF FRAMING EXAMPLESRoof Framing Definitionsy (Rise): The vertical distance measured from the wall’s

USER’S GUIDE —85Rafters: Rafters are inclined roof support members. Rafters includethe following types:• Common Rafter: The Common connects the plate

86 — ITI SHEET METAL/HVAC PROPlumb: Vertical Cut. The angle of cut from the edge of the boardthat allows the rafter to mate on the vertical side of th

USER’S GUIDE —87Common Rafter LengthIf a roof has a 7/12 Pitch and a Span of 14 Feet 4 Inches, what isthe Point-to-Point length of the Common rafter (

88 — ITI SHEET METAL/HVAC PROAngle and Diagonal (Hypotenuse)Find the Diagonal (Hypotenuse) and Degree of Angle of a RightTriangle that is 9 Feet high

8—ITISHEET METAL/HVAC PROÇ1 Storage Register (M1) — Stores the displayedvalue in non-cumulative, permanent Memory (e.g.,10Ç1, ®1= 10). Good for storin

USER’S GUIDE —89Sheathing CutYou have framed an equal Pitch roof and need to apply the roofsheathing. Find the distance from the corner of the sheathi

90 — ITI SHEET METAL/HVAC PRO(Cont’d)KEYSTROKE DISPLAY2. Find Hip/Valley rafter length and cut angles:H H/V 12 FEET 10-1/2 INCHH PLMB 22.41512°H LEVL

USER’S GUIDE —91Jack Rafters — Using Other Than 16 Inch On-Center SpacingA roof has a 9/12 Pitch and a Run of 6 Feet 9 Inches. Find the Jackrafter len

92 — ITI SHEET METAL/HVAC PROIrregular Hip/Valley and Jack Rafters — Descending, withOn-Center Spacing MaintainedYou’re working with a 7/12 Pitch and

USER’S GUIDE —93(Cont’d)KEYSTROKE DISPLAY5. Find Irregular Jack Plumb, Level, and Cheek cut angles:j PLMB 33.69007°j LEVL 56.30993°j CHK1 41.18592°6.

94 — ITI SHEET METAL/HVAC PROSTAIR LAYOUT EXAMPLESStair Layout Definitionsy (Rise): The “floor-to-floor” or “landing-to-landing” Rise is the actualver

USER’S GUIDE —95Number of Risers: The number of Risers includes both the first andthe last Riser of the stairway.Riser Overage or Underage: The Riser

96 — ITI SHEET METAL/HVAC PROStairs — Given Only Floor-to-Floor RiseYou’re building a stairway with a total Rise of 9 Feet 11 Inches. Yourdesired Rise

USER’S GUIDE —97To Change Desired Riser Height: If you wish to use a desiredRiser height of other than 7-1/2 Inches (the calculator’s default), sim-pl

98 — ITI SHEET METAL/HVAC PROStairs — Given Only the RunYou’re building a stairway with a total Run of 20 Feet. Your desiredRiser height is 7-1/2 Inch