Question

Sample Problem 3.5 A steel tube with the cross section shown carries a torque T. The tube is 6 ft long and has a constant wall thickness of 3/8 in. (1) Compute the torsional stiffness k = T/? of the tube. (2) If the tube is twisted through 0.5°, determine the shear stress in the wall of the tube. Use G = 12 × 10^6 psi. and neglect stress concentrations at the corners. Solution Part 1 Because the wall thickness is constant, the angle of twist is given by Eq. (3.9b): ? = TLS / (4GA0^2t) Therefore, the torsional stiffness of the tube can be computed from T = (4GA0^2t?) / L

          Sample Problem 3.5
A steel tube with the cross section shown carries a torque T. The tube is 6 ft long and has a constant wall thickness of 3/8 in. (1) Compute the torsional stiffness k = T/? of the tube. (2) If the tube is twisted through 0.5°, determine the shear stress in the wall of the tube. Use G = 12 × 10^6 psi. and neglect stress concentrations at the corners.
Solution
Part 1
Because the wall thickness is constant, the angle of twist is given by Eq. (3.9b):
? = TLS / (4GA0^2t)
Therefore, the torsional stiffness of the tube can be computed from
T = (4GA0^2t?) / L

Sample Problem 3.5
A steel tube with the cross section shown carries a torque T. The tube is 6 ft long and has a constant wall thickness of 3/8 in. (1) Compute the torsional stiffness k = T/? of the tube. (2) If the tube is twisted through 0.5°, determine the shear stress in the wall of the tube. Use G = 12 × 10^6 psi. and neglect stress concentrations at the corners.
Solution
Part 1
Because the wall thickness is constant, the angle of twist is given by Eq. (3.9b):
? = TLS / (4GA0^2t)
Therefore, the torsional stiffness of the tube can be computed from
T = (4GA0^2t?) / L

Added by Eric S.

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