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| Math Central | Quandaries & Queries |
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Question from Craige: I need to calculate the bending radius of 2" wide steel to achieve given inside and outside arc lengths |
Craige,
The relationship involving the arc length a the radius of the circle r and the angle θ measured in radians is
a = r θ.
I let the inside radius be r, the length of the inside arc be a1 and the length of the outside arc be a2. Then for the inside arc
a1 = r θ
and for the outside arc
a2 = (r + 2) θ.
Since the angle θ is the same for both arcs
a1/r = a2/(r + 2)
Solving for r gives
r = 2a1/(a2 - a1)
Harley
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