Calculated Industries 4090 - Manual (Page 5)

4 — ITI S
HEET
M
ETAL
/HVAC P
RO
Dividing Offset into Multiple Degreed Elbows for
Manageable Sections .............................................................51
Change OGEE Offset ................................................................53
LAW OF COSINES EXAMPLES...................................................55
Field Measuring for Ductwork Using the Law of Cosines
Introduction .............................................................................55
Non-90 Degree 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 Duct, Single Offset (Computing Offset, Length,
and Angle)...............................................................................60
Inline Duct, Double 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 Definitions ...........................................................84
Degree of Pitch ..........................................................................86
Percent Grade............................................................................86
Common Rafter Length..............................................................87
Common Rafter Length — Pitch Unknown................................87
Angle and Diagonal (Hypotenuse) .............................................88