
4 — SHEET METAL/HVAC PRO CALC
ividing Offset into Multiple egreed Elbows for
Manageable Sections .............................................................51
Change OGEE Offset ................................................................53
LAW OF COSINES EXAMPLES...................................................55
Field Measuring for uctwork Using the Law of Cosines
Introduction .............................................................................55
Non-90 egree Triangle Measurement Using Law of Cosines
and Heron’s Theorem .............................................................56
Using Law of Cosines and Pythagorean Theorem to
Calculate Offset, Length, and Angle.......................................58
Sheet Metal Panels for an Irregular Hip Roof............................59
Inline uct, Single Offset (Computing Offset, Length,
and Angle)...............................................................................60
Inline uct, ouble Offset (Computing Offset, Length,
and Angle)...............................................................................62
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 EXAMPLES ............................................................78
Arc Length — Degree and Diameter Known .............................78
Arc Length — Degree and Radius Known.................................78
Using ArcK to Calculate an Arc Length......................................78
Arc Calculations — Arc Length and Diameter Known...............79
Arched/Circular Rake-Walls — Chord Length and Segment
Rise Known.............................................................................80
Arched Windows ........................................................................81
CONCRETE/PAVING ....................................................................82
Squaring-up a Foundation .........................................................82
Volume of a Rectangle...............................................................82
Volume of Columns....................................................................83
RIGHT TRIANGLE and ROOF FRAMING EXAMPLES ...............84
Roof Framing efinitions ...........................................................84
egree of Pitch ..........................................................................86
Percent Grade............................................................................86
Common Rafter Length..............................................................87
Common Rafter Length — Pitch Unknown................................87
Angle and iagonal (Hypotenuse).............................................88