Question

Single Cell Torsion (and a little buckling) 2. (20 pts) Suppose we wish to design a minimum weight shaft of Im length to support a limit Torque of 35 kN-m. The material is specified as aluminum 6061-T6 with yield strength of 240 MPa, Young's Modulus 70.0 GPa and Poisson Ratio 0.33. We recognize that for this pure torsion application a thin-walled, hollow circular shaft is the optimum configuration, but what radius and wall thickness will minimize the weight? Determine the wall thickness and radius (to the centerline of the wall) for minimum weight subject to the following requirements: Requirements: The shear stress on the cross section must not exceed the yield strength of the material when the limit load is applied. This strength calculation may be based on thin-walled torsion theory (Bredt's formula) provided the radius to thickness ratio exceeds 10.

Answer 1

Given that, According to the question the following as, above given using Bredts Formula, T = T1 2t Am where, Am = Trim Also, It is given that, there fore putting all the given data in the above formula gives, Rm 46mm and to 4 mm CSScanned with CamScanner