A solid steel bar of circular cross section has diameter d = 40 mm, length L = 1.3 m and shear modulus of elasticity G = 80 GPa. The bar is subjected to torques T acting at the ends. If the torques have magnitude T = 340 N.m, what is the maximum shear stress in the bar? What is the angle of twist between the ends?

A shaft composed of three segments and fastened to rigid supports. Determine the maximum shear stress developed in each segment. (Please don't skip any mathematical step and please show all the working)

A rectangular bar of length L has a slot in the central half of its length. The bar has width b, thickness t, and elastic modulus E. The slot has width b/3. The overall length of the bar is L = 520 mm, and the elastic modulus of the material is 74 GPa. If the average normal stress in the central portion of the bar is 190 MPa, calculate the overall elongation of the bar. Answer: 6 = b IN -1/2- b 6/3 mm

A 50-in long cantilever circular bar ABC is subjected to a torque T acting at point B, located at a distance x from the fixed support A and a torque T/3 applied at point C, with the senses shown in the figure. The cross-section of the bar is solid for segment AB and it has an internal cylindrical hole in the BC segment, as also shown in the figure. Assume that G = 3,770 ksi and T = 12kip.ft. A T B C T/3 L = 50 in 3 in 2.4 in 3 in Cross-section of segment AB Cross-section of segment BC Figure 3.1: Cantilever shaft with external loads and cross-sections a) Draw the torsion moment diagram for the bar ABC. b) If the angle of twist at point C is equal to opc = 0.047 rad, find the value of the distance x. c) Calculate the angle of twist at point B. d) Calculate the maximum shear stress in segment AB and segment BC of the bar and show the stress distribution in the cross-section for each case. Show all important values in the sketch of the stress distributions.