Question 4.9: Design of a Torsion Bar Problem: Determine the best cross-se...
Design of a Torsion Bar
Problem: Determine the best cross-sectional shape for a hollow torsion bar to be made from a sheet of steel of known dimensions in order to withstand a pure torsional load with minimum angular deflection. Also find the maximum shear stress.
Given: The applied torque is 10 N-m. The sheet of steel has length l = 1 m, width w = 100 mm, and thickness t = 1 mm. G = 80.8 GPa.
Assumptions: Try four different cross-sectional shapes: unformed flat plate, open-circular section, closed-circular section, and closed-square section. The open-circular shape is rolled but is not welded at the seam. The closed shapes’ seams are welded to create a continuous cross section. Assume a mean diameter or mean perimeter consistent with the sheet width.
Our explanations are based on the best information we have, but they may not always be right or fit every situation.
Learn more on how we answer questions.