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SER

’

UIDE

— 101

The Sine of an angle is the ratio of the opposite side over the

Hypotenuse:

The Cosine of an angle is the ratio of the adjacent side over the

Hypotenuse:

The Tangent of an angle is the ratio of the opposite side over the

adjacent side:

Tangent

Tan =

Opposite

Adjacent

tan A =

Cosine

Cos =

Adjacent

Hypotenuse

cos A = b

Sine

Sin =

Opposite

Hypotenuse

sin A =

APPENDIX A —

TRIGONOMETRY FORMULAS

Содержание Sheet Metal/HVAC Pro Calc

Страница 1: ...C M Y CM MY CY CMY K PRG4090E C_COVER ai 1 11 20 2020 3 05 21 PM PRG4090E C_COVER ai 1 11 20 2020 3 05 21 PM...

Страница 2: ...een Feet Inch Fractions Decimal Feet Decimal Inches and Metric Problems Involving All Common Fractions 1 2 to 1 64 Area Volume Calculations Arc Circle Column Cone Areas and Volumes D M S Scientific No...

Страница 3: ...21 USING PARENTHESES 22 SETTING FRACTIONAL RESOLUTION 23 Setting Fraction Resolution to Other Than 16ths Using the Preference Setting Mode 23 Setting Fixed Constant Fractional Resolution 24 ENTERING D...

Страница 4: ...Rectangle 36 Area of a Triangle 37 Volume of a Rectangular Box 37 Volume of a Rectangular Container Converting to Cubic Meters 37 Volume of a Cylinder 38 Volume of a Cone 38 Cubed Function 39 Cubed R...

Страница 5: ...Objects at Right Angles 65 Calculating Angles Between Objects Angle Between 69 Calculating Angles Between Objects Example 70 FAN LAW EXAMPLES 75 Fan Law 1 75 Fan Law 2 76 Fan Law 3 77 ARC CIRCLE EXAM...

Страница 6: ...TRIGONOMETRY FORMULAS 101 APPENDIX B AREA VOLUME FORMULAS 102 AREA FORMULAS 102 SURFACE AREA VOLUME FORMULAS 103 APPENDIX C OFFSET FORMULAS 104 APPENDIX D LAW OF COSINES HERON S THEOREM FORMULAS 105...

Страница 7: ...key is to convert between measurement units or to access second functions listed below Convert Used with the measurement keys to convert between units or with other keys to access special functions x...

Страница 8: ...s format that is dis plays decimal degrees to the maximum number of decimal points for greater accuracy If you desire rounding to two decimal points 0 00 you must set your calculator via Preference Se...

Страница 9: ...ECALL 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 review ing stored settings and Memory operation see below Clear M Displa...

Страница 10: ...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 auto matically used e g e...

Страница 11: ...Angle for the Sine Cosine or Tangent value entered S Sine Function Calculates the Sine of a Degree or undimensioned value S Arcsine sin 1 Calculates the angle for the entered or calculated Sine value...

Страница 12: ...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 p Theta Enters or calcula...

Страница 13: ...ese keys calculate the opposite angles A B and C given entry of Side a b and c using the Law of Cosines see Storage Registers a b and c below and triangle area using Heron s Theorem They also enable t...

Страница 14: ...easurements including the Centerline Radius Wrapper Length Stretch out Heel Radius Throat Radius and Theta given entry of x actual length y offset and a end a into the keys below Press Result 1 Center...

Страница 15: ...n Law 2 Calculates the missing variable e g a new or b new for CFM new or SP new for Fan Law 2 given the three known variables into the applicable Storage Registers see below See page 76 for examples...

Страница 16: ...N 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 Circumfere...

Страница 17: ...tud R Run Chord Length Used with r or p to find the Chord Length or the Radius of a Circular Segment If the Segment Rise and Radius have been entered this key will display the Chord Length of the Circ...

Страница 18: ...f your calculator dis play 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 45 or Irregular non 45 Hip Va...

Страница 19: ...g is 16 Inches A new On Center spacing may be entered and permanent ly stored by entering an Inch value prior to perform ing the Jack Rafters function e g 1 2 i j The current On Center spacing value c...

Страница 20: ...eight 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 Ris...

Страница 21: ...erence Settings to view how to use the and key to increase or decrease stored Tread width Store Headroom Height Stores a value other than the default desired Headroom Height of six Feet eight Inches f...

Страница 22: ...ated Industries calculators which use the Chaining Method of Operations this calculator uses the Order of Operations Method Chaining Method as entered 10 4 x 5 70 Order of Operations Method 10 4 x 5 3...

Страница 23: ...irst parenthesis level opened press for one Right Sided Parenthesis 2 Second level opened press a second time for two Right Sided Parentheses 3 Third level opened press a third time for three Right Si...

Страница 24: ...ractional resolution below Setting Fraction Resolution to Other Than 16ths Using the Preference Setting Mode KEYSTROKE DISPLAY 1 Access Preference Settings default setting 1 16th of an Inch FRAC 0 1 1...

Страница 25: ...is feature Standard Fractional Resolution will be displayed In other words in the above example 1 2 will be dis played as 1 2 To change your calculator to Fixed or Constant Fractional Resolution KEYST...

Страница 26: ...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 k...

Страница 27: ...play 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...

Страница 28: ...ns to Decimal Feet Convert 15 Feet 9 1 2 Inches to Decimal Feet Then convert back to Feet Inch Fractions KEYSTROKE DISPLAY 0 15 FEET 9 1 2 INCH 15 79167 FEET 15 FEET 9 1 2 INCH o o 1 5 f 9 i 1 2 f f C...

Страница 29: ...9 1 16 INCH f f 0 755208 FEET Square Conversions Convert 14 Square Feet to other Square dimensions KEYSTROKE DISPLAY o o 0 1 4 f f i 2016 SQ INCH m 1 300643 SQ M m mm 1300642 56 SQ MM For larger digi...

Страница 30: ...AY 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...

Страница 31: ...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 What is 15 of 250...

Страница 32: ...commands are listed below FUNCTION KEYSTROKES M Add value to M Subtract value from M Clear M displays and clears M M Swap swaps current value stored in M with displayed value Recall stored value M1 M...

Страница 33: ...200 ii Permanent Storage Registers M1 M2 and M3 Examples Store a rate of 175 into M1 and recall the value KEYSTROKE DISPLAY 1 7 5 1 M 1 175 O o 0 1 M 1 175 Store 1 575 Square Meters into M2 and recal...

Страница 34: ...w provide you with mathematical problems seen in the sheet metal industry such as computing triangle measurements using the Pythagorean Theorem or the Law of Cosines as well as dedicated Offset Fan La...

Страница 35: ...2 INCH 3 5 m 3 5 M 2 Find the total 17 FEET 6 5 16 INCH Converting Feet Inch Fractions to Decimal Feet and Fractions of an Inch Convert 5 Feet 7 1 2 Inches to Decimal Feet then Decimal Inches and Inch...

Страница 36: ...333333 INCH Answer 0 33 Converting Decimals to Fractions Convert 5 875 Inches and 8 545 Inches to the nearest 16ths of an Inch KEYSTROKE DISPLAY o o 0 5 8 7 5 i i 5 7 8 INCH 8 5 4 5 i i 8 9 16 INCH F...

Страница 37: ...he 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 CIRC 34 9 16 INCH C AREA 95 03318 SQ INCH Square Area x2 What is the Area of a Square r...

Страница 38: ...Length of 15 Inches Width of 6 Inches and Height 9 1 2 Inches KEYSTROKE DISPLAY o o 0 1 5 i x 6 i x 9 i 1 2 855 CU INCH Volume of a Rectangular Container Converting to Cubic Meters What is the Volume...

Страница 39: ...INCH C C AREA 4 276057 SQ FEET 2 Enter Height and find Volume of Column or Cylinder 4 f 6 i r Y 4 FEET 6 INCH COL 19 24226 CU FEET Volume of a Cone Calculate the Volume of a Cone with a Diameter of 3...

Страница 40: ...ISPLAY o o 0 1 0 0 4 641589 5 0 8 8 17 1995 Example 2 What are the three dimensions of a Cube with a Volume of 2028 Cubic Inches KEYSTROKE DISPLAY o o 0 2 0 2 8 12 65773 Inches Alternate method of ent...

Страница 41: ...for your reference Given side A and angle a find Side C A a i e 3 f 5 3 1 3 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 f...

Страница 42: ...whole angle KEYSTROKE DISPLAY o o 0 5 7 5 4 4 S 35 13045 35 0 6 7 5 3 86 12787 86 8 7 4 2 1 t 41 16028 41 Using Trigonometry to Find Unknown Side Using the Pythagorean Theorem a2 b2 c2 keys find Side...

Страница 43: ...35 mm a Longhand Method In this case use the trigonometry formula Cos Adjacent Hypotenuse or cos A b c KEYSTROKE DISPLAY o o 0 1 5 3 5 64 62307 64 6 DMS 64 37 23 Note you do not have to label mm b Alt...

Страница 44: ...o known sides are Side a 8 Inches Side c 25 Inches In this case use the trigonometry formula Sin Opposite Hypotenuse or Sin A a c a Longhand Use Sine Formula KEYSTROKE DISPLAY o o 0 8 2 5 S 18 66292 1...

Страница 45: ...d Method Use Tan Opposite Adjacent KEYSTROKE DISPLAY 1 First solve for Tan 20 to find ratio then enter in Memory o o 0 2 0 t M 0 36397 2 Solve for Side b by dividing Side a by stored ratio 1 8 49 4545...

Страница 46: ...667 D M S EXAMPLE 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 degrees 23 71083 Convert 44 29 to degrees minutes seconds form...

Страница 47: ...function the values are displayed in the order identified above Subsequent calculations begin with the last displayed value Converting Velocity Pressure to FPM After obtaining Velocity Pressures VP f...

Страница 48: ...ity Pressure KPA 0 KPA 147928 99 5 Re display entered value 0 500 The VP FPM function begins with the last displayed value If FPM is not dis played with the first press of 0 continue pressing 0 until...

Страница 49: ...actual Length as x o o 0 1 0 f R X 10 FEET 0 INCH 2 Enter offset Length as y 5 f r Y 5 FEET 0 INCH 3 Enter Height of end A as a 7 f 4 A 7 FEET 0 INCH 4 Calculate Centerline Radius Wrapper Length Heel...

Страница 50: ...pper Length Heel Radius Throat Radius and Theta KEYSTROKE DISPLAY 1 Enter actual Length as x o o 0 4 5 i R X 45 INCH 2 Enter offset Length as y 1 2 i 5 8 r Y 12 5 8 INCH 3 Enter Height of end A as a 3...

Страница 51: ...a Note To save keystrokes you do not have to label entries in mm KEYSTROKE DISPLAY 1 Enter actual Length as x o o 0 2 0 4 5 m R X 2045 MM 2 Enter offset Length as y 5 7 3 m r Y 573 MM 3 Enter Height o...

Страница 52: ...gth x 80 1 2 Inches Offset Length y 22 9 16 Inches A 68 inches Then divide Theta into four degreed elbows double Theta for two equal elbows KEYSTROKE DISPLAY 1 Enter actual Length as x o o 0 8 0 i 1 2...

Страница 53: ...f Theta can be used to divide the offset into degreed elbows for more manageable sections If the angle calculated is used there would be four 4 elbows each at 15 39 25 If two 2 elbows were desired the...

Страница 54: ...5 3 16 Inches c End a 34 Inches KEYSTROKE DISPLAY 1 Enter actual Length as x o o 0 5 2 i 5 8 R X 52 5 8 INCH 2 Enter offset Length as y 1 5 i 3 1 6 r Y 15 3 16 INCH 3 Enter Height of way end A as a 3...

Страница 55: ...ius Throat Radius and Theta RAD 33 13 16 INCH WL 60 5 16 INCH HEEL 50 13 16 INCH THRT 16 13 16 INCH THET 25 57682 WL or the Wrapper corresponds to the side of the fitting associat ed with the offset d...

Страница 56: ...required fittings and or parts for the system Example Two duct lines both 18 Inches x 12 Inches as shown in the sketch on the next page are to be measured for a fill in piece Measurements of the plan...

Страница 57: ...angles in perspective at all times Because your calculator displays all three angles the user has the discretion of identifying as they choose Note As a test rotate the letters used to identify the si...

Страница 58: ...c o o 0 3 8 f 5 i 4 A 38 FEET 5 INCH 2 3 f 4 i 9 1 6 5 B 23 FEET 4 9 16 INCH 2 6 f 1 i 1 3 1 6 6 C 26 FEET 1 13 16 INCH 2 Calculate Angle A B and C 9 _A 101 5734 9 _B 36 59978 9 _C 41 8268 3 Calculat...

Страница 59: ...n this Triangle which is physically measured will be called The Measured Triangle or Triangle I below with given dimensions Length and Offset form a Right Angle to each other so Triangle II a Right Tr...

Страница 60: ...T 9 15 16 INCH Sheet Metal Panels for an Irregular Hip Roof A contractor is going to cover one end of an Irregular Hip Roof with sheet metal panels The length of the roof along the eave is 98 Feet 5 1...

Страница 61: ...e A0 in The Measured Triangle I and the dimensions of 1 X1 and Y1 in triangle II follow the sequence of input given below to solve for the dimensions in question Note x or y can represent either Offse...

Страница 62: ...1 0 i 6 C 6 FEET 10 INCH 2 Calculate and input Theta by subtracting Degree A found by the Law of Cosines from known angle of 180 1 8 0 9 _A 99 94554 80 05446 Theta p _ 80 05446 3 Recall stored c and...

Страница 63: ...AY 1 Enter side a b and c o o 0 2 5 0 9 m 4 A 2509 MM 2 0 9 6 m 5 B 2096 MM 1 0 6 7 m 6 C 1067 MM 2 Calculate and input Theta by subtracting Degree A found by the Law of Cosines from known angle of 18...

Страница 64: ...96 MM 3 5 6 m 6 C 356 MM 2 Calculate and input Theta by subtracting Degree A found by the Law of Cosines from known angle of 90 in this case the Triangles form a Right Triangle 9 0 9 _A 83 83727 6 162...

Страница 65: ...Length Between the Objects KEYSTROKE DISPLAY 1 Enter y from Triangle IV and enter as r the Hypotenuse o o 0 2 0 6 5 m d R 2065 MM 2 Enter y from Triangle III and enter as y 2 2 5 m r Y 225 MM 3 Calcul...

Страница 66: ...e actual length will be required With the exception of the duct dimensions the measured lengths of Triangle III are slant lengths Therefore if the calculations are processed using these dimensions the...

Страница 67: ...T 2 INCH 7 f 1 1 i 1 8 6 C 7 FEET 11 1 8 INCH 2 Calculate and input Theta by subtracting Degree A found by the Law of Cosines from Right Angle of 90 9 0 9 _A 78 40512 11 59488 Theta p _ 11 59488 3 Rec...

Страница 68: ...in D2 KEYSTROKE DISPLAY 1 Enter slant length as r o o 0 1 1 f 8 i 1 3 1 6 d R 11 FEET 8 13 16 INCH 2 Enter calculated elevation offset from D1 as y 1 f 7 i 1 8 r Y 1 FEET 7 1 8 INCH 3 Calculate actual...

Страница 69: ...5 B 5 FEET 2 INCH 7 f 9 i 3 1 6 6 C 7 FEET 9 3 16 INCH 2 Calculate and input Theta by subtracting Degree A found by the Law of Cosines from 180 1 8 0 9 _A 126 8649 53 13512 Theta p _ 53 13512 3 Recal...

Страница 70: ...between the objects for the purpose of finding the angles C A and A2 as indicated in the example below Subtracting the sum of Angles C A and A2 from 180 gives us the Angle Between the two objects The...

Страница 71: ...ects Example LEGEND 1 Existing Roof Curb to remain 2 New 20 x 20 duct down through Roof Curb to system below 3 New Roof Top Furnace with integral curb 4 Field measure duct required from the existing r...

Страница 72: ...FEET 7 INCH 8 f 8 i 1 8 6 C 8 FEET 8 1 8 INCH 2 Calculate and input Theta by subtracting Degree A found by the Law of Cosines from known angle of 180 1 8 0 9 _A 95 70871 84 29129 Theta p _ 84 29129 3...

Страница 73: ...s in D2 KEYSTROKE DISPLAY 1 0 i 3 8 R X 10 3 8 INCH 9 f 8 i 9 1 6 d R 9 FEET 8 9 16 INCH r Y 9 FEET 8 1 8 INCH 3 Find actual length y between objects in D3 KEYSTROKE DISPLAY 1 0 i 3 8 R X 10 3 8 INCH...

Страница 74: ...o 0 2 f 2 i 4 A 2 FEET 2 INCH 1 0 f 2 i 1 4 5 B 10 FEET 2 1 4 INCH 9 f 8 i 1 8 6 C 9 FEET 8 1 8 INCH 2 Use Law of Cosines to find Angle A and store in Memory 1 9 _A 12 17384 1 M 1 12 17384 3 Use Law o...

Страница 75: ...f 5 B 2 FEET 0 INCH 6 C 9 FEET 8 1 8 INCH 2 Use Law of Cosines to find Angle A2 and store in Memory 3 9 _A 53 40618 3 M 3 53 40618 3 Recall M1 M2 and M3 and find total 1 2 3 135 9458 4 Add total to M...

Страница 76: ...t CFM into a old o o 0 1 2 5 0 4 A 1250 2 Enter new CFM into a new 1 4 0 0 7 An 1400 3 Enter current RPM into b old 7 5 0 5 B 750 4 Calculate new RPM or b new R RPMn FAN LAW1 840 Example 2 You set up...

Страница 77: ...o o 0 1 5 3 0 0 4 A 15300 2 Enter new CFM into a new 1 4 0 0 0 7 An 14000 3 Enter current SP into b old 3 2 5 B 3 2 4 Calculate new SP or b new r SPn FAN LAW2 2 679311 Example 2 After doing a traverse...

Страница 78: ...s the new BHP KEYSTROKE DISPLAY 1 Enter current CFM into a old o o 0 1 5 8 0 0 4 A 15800 2 Enter new CFM into a new 2 0 0 0 0 7 An 20000 3 Enter current BHP into b old 6 3 5 B 6 3 4 Calculate new BHP...

Страница 79: ...adius RAD 24 INCH 7 7 C ARC 77 00 C ARC 32 1 4 INCH Using ArcK to Calculate an Arc Length Using the ArcK constant 0 017453 calculate the Arc length given 100 of a one unit Circle The Radius is 5 Feet...

Страница 80: ...of 3 Feet 3 Inches KEYSTROKE DISPLAY 1 Enter Circle Diameter Note enter Diameter into the C key o o 0 5 f C DIA 5 FEET 0 INCH 2 Enter Arc Length 3 f 3 i C ARC 3 FEET 3 INCH 3 Find Degree of Arc C ARC...

Страница 81: ...OKE 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 p RAD 8 FEET 1 1 2 INCH 3 Find Arc Angle C ARC 134 76 4 Find Arc Length C...

Страница 82: ...ing 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 DI...

Страница 83: ...o 0 2 3 f 8 i r Rise Y 23 FEET 8 INCH 4 5 f 6 i R Run X 45 FEET 6 INCH 2 Find the Square up Diagonal d R 51 FEET 3 7 16 INCH Volume of a Rectangle Find the Volume of a Rectangle with the following di...

Страница 84: ...Inches and a Height of 11 Feet 6 Inches Note Use the Column Cone function KEYSTROKE DISPLAY 1 Find Circle Area o o 0 3 f 4 i 1 2 3 FEET 4 1 2 INCH C C C AREA 8 946176 SQ FEET 2 Enter Height and find t...

Страница 85: ...lf of the span Pitch Pitch and Slope are synonymous in modern trade lan guage 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...

Страница 86: ...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 Ir...

Страница 87: ...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 Degree of Pitch If the Degree of Pitch is 30 45 what is the Percent Grade Slop...

Страница 88: ...er o o 0 7 i p PTCH 7 INCH 1 4 f 4 i 2 7 FEET 2 INCH R X 7 FEET 2 INCH d R 8 FEET 3 9 16 INCH 2 Find Plumb and Level cuts d PLMB 30 25644 d LEVL 59 74356 Common Rafter Length Pitch Unknown Find the Co...

Страница 89: ...l Hypotenuse Pitch in Inches and Degree of Angle d R 15 FEET 0 INCH p PTCH 9 INCH p _ 36 8699 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 I...

Страница 90: ...od 4 f d R 4 FEET 0 INCH 3 Find length of sheathing R X 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 Poin...

Страница 91: ...ck 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 J...

Страница 92: ...or both Regular and Irregular Jack calculations KEYSTROKE DISPLAY 1 Enter Pitch Run and On Center spacing o o 0 9 i p PTCH 9 INCH 6 f 9 i R X 6 FEET 9 INCH 1 8 i j j JKOC 18 INCH 2 Find Jack rafter le...

Страница 93: ...n 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 Co...

Страница 94: ...ek cut angles j PLMB 33 69007 j LEVL 56 30993 j CHK1 41 18592 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...

Страница 95: ...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...

Страница 96: ...n 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...

Страница 97: ...Enter known Rise o o 0 9 f 1 1 i r Y 9 FEET 11 INCH 2 Recall default stored desired stair Riser height s R HT 7 1 2 INCH 3 Find Riser height number of Risers Riser Overage Underage Tread width number...

Страница 98: ...m other than six Feet eight Inches the calculator s default simply select a new value via the Preference Mode press then five times and use the or keys to increase decrease by one Inch increments See...

Страница 99: ...d all stair values then calculate the Rise KEYSTROKE DISPLAY 1 Enter Run o o 0 2 0 f R X 20 FEET 0 INCH 2 Find Riser height number of Risers Riser Overage Underage Tread width number of Treads Tread O...

Страница 100: ...EET 1 INCH 1 5 f 5 i R X 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...

Страница 101: ...o o 0 1 5 6 i 156 INCH 5 i 1 2 28 36364 28 balusters desired spacing plus baluster width 4 Inches plus 1 1 2 Inches 2 Find total space occupied by the balusters by multiplying the width of each balus...

Страница 102: ...e is the ratio of the adjacent side over the Hypotenuse The Tangent of an angle is the ratio of the opposite side over the adjacent side Tangent Tan Opposite Adjacent tan A a b c a b A Cosine Cos Adja...

Страница 103: ...102 SHEET METAL HVAC PRO CALC AREA FORMULAS APPENDIX B AREA VOLUME FORMULAS...

Страница 104: ...USER S GUIDE 103 SURFACE AREA VOLUME FORMULAS...

Страница 105: ...rapperLength aka StretchOut CenterlineRadius ArcK 4 HeelRadius CenterlineRadius a 2 ThroatRadius CenterlineRadius a 2 CenterlineRadius SlantLength 4Sin SlantLength2 4 Offset ArcSin ArcTan Offset Slant...

Страница 106: ...of Sines Heron s Theorem Tan A 2 r s a Tan B 2 r s b Tan C 2 r s c s a b c 1 2 A C a B c b a b c 2R sin A sin B sin C R A B a C b c a2 b2 c2 2bccosA b2 c2 a2 2cacosB c2 a2 b2 2abcosC APPENDIX D LAW O...

Страница 107: ...l Resolution Area Display Volume Display Desired Riser Height Desired Tread Width Stairway Headroom Floor Thickness Stairs Jack Rafters Irregular Jack Spacing Exponent Meter Linear Rounding Degree Rou...

Страница 108: ...us page PREFERENCE OPTIONS 1 Fractional Resolution 1 16 displays fractional values to the nearest 16th of an Inch 1 32 1 64 1 2 1 4 1 8 2 Area Display Format Standard if units entered are the same e g...

Страница 109: ...ic Meters volume answers always displayed in Cubic Meters regardless of unit entry e g Feet x Feet x Feet Cubic Meters 4 Tread Width 10 Inch default Use or key to increase or decrease above value by i...

Страница 110: ...en digits will display in next largest unit Off Exponential Mode is Off 10 Meter Linear Display 0 000 Linear Meter answers always 11 Degrees Displayed 12 Mathematical Operations 13 Fractional Mode dis...

Страница 111: ...your Preference Note will advance will back up Pressing the key continuously in this mode will revolve the Preference Settings full circle You may change these settings at any time by repeating the a...

Страница 112: ...OL 0 CU FEET VOL 0 CU M To Increase or Decrease Tread Width from Default of 10 KEYSTROKE DISPLAY fourth press of T WD 10 INCH plus sign increases height by 1 4 Inch T WD 10 1 4 INCH minus sign decreas...

Страница 113: ...Rafter to Descending or Ascending KEYSTROKE DISPLAY seventh press of JACK dESCEnd plus sign JACK ASCEnd To Set Irregular Jack Spacing to On Center or Mate KEYSTROKE DISPLAY eighth press of IRJK OC OC...

Страница 114: ...down the multiplication x key and turn on ALL rESEt will flash for one second before clearing the display Please follow the guidelines listed in this section for proper care and operation of your cal...

Страница 115: ...P Error Exponent Error DIV Error Divide by 0 Error DIM Error Dimension error ENT Error Entry error TYP Error Type error TRIG Error Trig error for example tan of 1 foot None Attempt to calculate stairs...

Страница 116: ...d 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 In...

Страница 117: ...ce for evaluation or repairs 2 If your calculator won t turn on try pressing the Reset button first If it still won t turn on check the batteries as outlined in the User s Guide 3 If there is a black...

Страница 118: ...the original product or 90 days whichever is longer Non Warranty Repair Service USA Non warranty repair covers service beyond the warranty period or service requested due to damage resulting from misu...

Страница 119: ...ific rights and you may also have other rights which vary from state to state FCC Class B This equipment has been certified to comply with the limits for a Class B computing device pursuant to Subpart...

Страница 120: ...ts Example 70 CARE INSTRUCTIONS APPENDIX H 113 Change OGEE Offset 53 CIRCULAR ARC FUNCTION KEYS 15 Circumference and Area of a Circle 36 Circumference of a Circle 36 COLUMN CONE KEY 16 Common Rafter L...

Страница 121: ...ngle 60 Irregular Hip Valley and Jack Rafters Descending with On Center Spacing Maintained 92 Jack Rafters Using Other Than 16 Inch On Center Spacing 91 KEY DEFINITIONS 6 LAW OF COSINES EXAMPLES 55 LA...

Страница 122: ...y Floor to Floor Rise 96 Stairs Given Only the Run 98 Stairs Given Rise and Run 99 Subtracting Dimensions 29 SURFACE AREA VOLUME FORMULAS 103 TRIGONOMETRY FORMULAS APPENDIX A 101 TRIGONOMETRIC KEYS 9...

Страница 123: ...Designed in the United States of America 01 21 UG4090E D...

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Содержание Sheet Metal/HVAC Pro Calc

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Calculated Industries Sheet Metal/HVAC Pro Calc, Руководство пользователя

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Содержание Sheet Metal/HVAC Pro Calc

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