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aznkid310
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Homework Statement
Unfortunately, I don't have a picture to upload, so I'll describe it the best that I can.
A prismatic bar AB of length L and solid circular cross section (diameter d) is loaded by a distributed torque of constant intensity t per unit distance. Determine the angle of twist W between the ends of the bar.
Homework Equations
The Attempt at a Solution
d(Torque) = tdx --> Torque T = integral (from 0 to L) [tdx] = tL
W = int(0 to L) [T(x)dx/GI(x)] , where G = shear modulus, I = polar moment of inertia
Is my T(x) equal to T = tL ?
How do I find I? I realize that I = int over the area [x^2 dA], where x is the distance from the center to dA
Can i just use the formula I = [(pi)r^4]/4 for a solid bar?