Bolt hole Patterns and Right Triangle Trigonometry. Development of the formulas: 2r sin( ½ θ ) and 2r sin θ. Lightly inscribe the circular radius. The center of each bolt hole will pass through this circle with given radius r. The radius is often referred to as the distance from center.
Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.
Development of the formulas:
2r sin( ½ θ) and 2r sinθ
The center of each bolt hole will pass through this circle with given radius r.
The radius is often referred to as the distance from center
Bolt Hole Patterns
Finding the angle between two consecutive holes
Checking the distance between two consecutive holes
Bisect angle θ
This creates a right triangle
With hypotenuse equal to r and one angle equal to θ divided by 2
Sin ½ θ = x divided by r
x = r sin ½ θ
Distance between hole centers = 2x
2x = 2r sin ½ θ
Checking the distance between two nonconsecutive holes
Draw altitude CX on ΔABC
This creates right triangle CXB
Let θ = <XCB
Sin θ = XB divided by r
XB = r sin θ
AB =2(r sin θ) or 2r sinθ