Mechanics of Materials
11th Edition
ISBN: 9780137605460
Author: Russell C. Hibbeler
Publisher: Pearson Education (US)
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If the solid shaft is made from red brass C83400 and it is subjected to a torque T = 6 kip # ft at B, determine the maximum shear stress developed in segments AB and BC.
The 304 stainless steel tube has a thickness of 10 mm. If the allowable shear stress is tallow = 80 MPa, determine the maximum torque T that it can transmit. Also, what is the angle of twist of one end of the tube with respect to the other if the tube is 4 m long? The mean dimensions are shown.
The shaft is made from a solid steel section AB and a tubular
portion made of steel and having a brass core. If it is fixed to a
rigid support at A, and a torque of T = 50 lb.ft is applied to it at
C, determine the rotation angle that occurs at C relative to A and
compute the maximum shear stress and maximum shear strain in
the brass and steel. Take Gst = 11500 ksi, Gbr = 5600 Ksi.
3 ft
0.5 in.
B
1 in.
T = 50 lb•ft
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- The steel step shaft has an allowable shear stress of Fallow 9 MPa. If the transition between the cross-sections has a radius r-4 mm, determine the maximum torque T that can be applied. Take K-1.25. 20 mm 72 N.m T 50 mm 20 mm 7/2 The maximum torque T that can be applied is. Note: Please enter your answer with three significant digits after the decimal point. Take the torque as positive since the problem does not have multiple sections before the step.arrow_forwardThe shaft is subjected to the torque of T = 9.6 kN.m. What is the maximum shear stress developed in the shaft? Set a = 75 mm. 600 mm a Tarrow_forwardThe electric motor exerts a torque of 800 N- m on the steel shaft ABCD when it is rotating at a constant speed. The angle of twist between A and D is limited to 1.50 degree. Use maximum shear = 60 MPa and modulus of rigidity = 77 GPa. Solve its torque for each shaft AB and BC. And determine the diameter of the Shaft based on strength. 300 N.m 500 N.m 0.4 m 0.6 m 0.3 marrow_forward
- The steel shaft is formed by attaching a hollow shaft to a solid shaft. Determine the shear stress (in Pa) in the hollow shaft using the maximum torque T that can be applied to the ends of the shaft without exceeding a shear stress of 70066350 Pa and angle of twist of 2.5° for the whole shaft. Use 6 = 83000000000 Pafor the shaft, x = 2.25 m, and y = 1.63 m. Round off the final answer to two decimal places. T 100 mm 70 mm 70 mm yarrow_forwardThe solid circular shaft is subjected to an internal torque of T = 5 kN # m. Determine the shear stress at points A and B. Represent each state of stress on a volume element.arrow_forwardThe solid 35-mm-diameter shaft is used to transmit the torques applied to the gears. The shaft is made of steel A-36 with E = 200 GPa and G = 75 GPa a. Determine the absolute maximum shear stress on the shaft. b. Determine the angle of twist of the end B with respect to end A. c. The shaft is now change d to a hollowed shaft with an outside diameter of 40 mm. What inner diameter is required to resist the same torque with the same maximum shear stress?arrow_forward
- The stepped steel shaft carries the torque T. Determine the maximum allowable magnitude of T if the working shear stress is 14 MPa and the rotation of the free end is limited to 3.50 . Use G = 83 GPa for steelarrow_forwardIf end B of the shaft, which has an equilateral triangular cross-section, is subjected to a torque of T = 900 lb # ft, determine the maximum shear stress in the shaft. Also, find the angle of twist of end B. The shaft is made from 6061-T1 aluminum.arrow_forwardThe shaft has an outer diameter of 100 mm and an inner diameter of 80 mm. If it is subjected to the three torques, plot the shear stress distribution along a radial line for the cross section within region CD of the shaft. The smooth bearings at A and B do not resist torque. E 10 kN m B 15 kN m 5 kN-marrow_forward
- The gear motor can develop 3 hp when it turns at 150 rev>min. If the allowable shear stress for the shaft is tallow = 12 ksi, determine the smallest diameter of the shaft to the nearest 1 8 in. that can be used.arrow_forwardThe shaft has a radius c and is subjected to a torque per unit length of t0, which is distributed uniformly over the shaft’s entire length L. If it is fixed at its far end A, determine the angle of twist f of end B. The shear modulus is G.arrow_forwardIf the shaft is made from a material having an allowable shear stress of τallow = 95 MPa , determine the maximum value for P.arrow_forward
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