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Mike Sloggatt
Presented by
Mike Sloggatt
The RIGHTAngle
Arbitrary Values
Feet / Inches
Metric
Pitch
Circular measurement
Babylonians
30 day / month
360 Days per Year
Sun & Moon were the time keepers
Sun Looked like a circle
60 Base
60 divisible by 2,3,4,5,6,10,12,15
Seemed like a GOOD IDEA…….
12/ 12 Pitch = 45*
6/ 12 Pitch = ??
4/12 Pitch = ??
6/12 pitch= 26.57*
/12 pitch= 18.43*
.
Pythagoras was the first to prove the square of the hypotenuse is the sum of the sides squared
Pythagorean theorem
The Pythagorean theorem states that the square
of the hypotenuse is the sum of the squares of the
other two sides, that is: c2 = a2 + b2
Hypotenuse : Side Opposite the Right angle in a triangle – b
Opposite side : The side opposite the angle we are working with - a
Adjacent : Side next to the angle we are working with - C
Sine = Opposite / Hypotenuse
Cosine= Adjacent/ Hypotenuse
Tangent = Opposite / Adjacent
Scenario -
Length of side b
We know length of c & a or the angle of A>
A= 3’
B= 4
C= 5
Angle = ??*
To find b
Sine of angle = a/b
Sine of angle = 3/5
Sine of a = .6
With a Trig calculator – enter .6 sine angle result is 36.87 *
CM PRO
To figure out any part of Out Triangle :
Any 2 Elements will enable us to calculate the rest of
the Triangle
EXAMPLE :
Known roof Pitch of 12/12
a= 12 c =12 Use the Tangent Function O/A
12/12 = 1
Angle of A> = tangent of 1 = 45 degrees
Solve for B length
Sine of 45* = .70711
Sine = O / H 12 / X = 1
12 / .70711 = 16.97049
This requires a Scientific Calculator,
A Note book to remember the Formulas
A Trigonometric Chart
A good memory
1. Foundations
2. Squaring Up
3. Plate Layout
4. Materiel Calculations
5. Cut List Calculations
6. Roof Rafter Calculations
7. Radius Framing Calculations
Volume Measurements ( Concrete )
Cylindrical Measurements
Radius Functions ( Arcs,Segments,Chords)
Stair Calculations ( Rise Run Tread Riser Stringer Headroom)
Compound Mitre Cuts For Crown Molding
Roof Framing , Common, Hip , Irregular Hips
Jacks, Gable Studs , Radius Gable studs
Pitch is always opposite the Rise of the Triangle
Foundations
Foundation 1a.skp
Sketchup Drawing
CM PRO DEMO
Known Values
Height of Man 5’ 8 5/8 “
Length of Mans Shadow 13’ 1 ¾”
Shadow of Pole 45’ 5” 3/4
Pitch = ??? Mans Height = RiseMans Shadow = Run
Solve For Pitch = 23.51*
Pole Height Pitch ( angle of sun) 23.51*Shadow Length = Run
Solve for Rise =19’ 9 7/16 “
Control Lines & Layout
Square up Foundation
Establish Parallel Lines
Square up Control Lines
Square up Corners from Control Lines
Clear Lacquer Control lines & Intersections
Control Lines
SKETCHUP
Elevation Control
Control lines - index
Useful for later reference
Framing
SketchUp Gable
Drawing
Gable Skp
Work Sheet :
1. Run Of Building including sheathing
2. Thickness of Ridge
3. Adjusted Run of Building = Run - ridge Thickness
4. Divide by 2 for adjusted run of rafter
5. Enter Pitch , Enter adjusted Run
6. Calculate rafter Length
Run 22’
Ridge Thickness 3”
Adjusted Run 22’ – 3” = 21’9”
½ Run of Building 21’ 9” / 2 = 10’ 10”
1/2
Pitch 8”
Diagonal 13’ 0 13/16 “
Angles PL – 33.69 LVL
56.31
CM
Cabinet
Crown
SketchUp Drawing
Cabinet skp
For more Information :
Visit JLC Forums www.jlconline.com
Gary M Katz website www.Garymkatz.com
Most of the Sketchup files are on Gary’s Website
Free Sketchup – Google Sketchup – Link on Gary’s site
Mike Sloggatt email : [email protected]
