Mechanics of Materials
11th Edition
ISBN: 9780137605460
Author: Russell C. Hibbeler
Publisher: Pearson Education (US)
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*RIO4. The shaft has a radius cand is subjected to a torque
per unit length of t, 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 d of end B. The shear modulus is G.
The 80-mm-diameter shaft is made of steel. If it is subjected to the uniform distributed torque, determine the angle of twist of end A. Take G = 75 GPa.
800 mm
5 kN m/m
A
The 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.
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- The motor produces a torque of T = 20 N # m on gear A. If gear C is suddenly locked so it does not turn, yet B can freely turn, determine the angle of twist of F with respect to E and F with respect to D of the L2-steel shaft, which hasan inner diameter of 30 mm and an outer diameter of 50 mm. Also, calculate the absolute maximum shear stress in the shaft. The shaft is supported on journal bearings at G at H.arrow_forwardThe 80-mm-diameter shaft is made of steel. If it is subjected to the triangular distributed load, determine the angle of twist of end A. Take G = 75 GPa.arrow_forwardThe 3-in.-diameter shaft is made of an elastic perfectly plastic material as shown. Determine the radius of its elastic core if it is subjected to a torque of T = 18 kip # ft. If the shaft is 3 ft long, determine the angle of twist.arrow_forward
- The 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.arrow_forwardThe aluminum shaft, composed of three segments, is fastened to rigid supports at A and D. Calculate the maximum shear stress in each segment when the two torques are appliedarrow_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 solid and hollow shafts are each subjected to the torque T. In each case, sketch the shearstress distribution along the two radial lines.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_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_forward
- The compound shaft made from the same material consisting of two segments AC and CB is firmly attached to rigid supports. The allowable shear stress in the shaft is limited to 5500 psi. Determine the maximum torque TO that may be applied at C. Calculate also the angular rotation incurred by segment BC. Use G= 12 x 106 psi.arrow_forwardThe device shown is used to mix soils in order to provide in-situ stabilization. If the mixer is connected to an A-36 steel tubular shaft that has an inner diameter of 3 in. and an outer diameter of 4.5 in, determine the angle of twistof the shaft at A relative to B and the absolute maximum shear stress in the shaft if each mixing blade is subjected to the torques shown.arrow_forwardA shaft with two segments (one with constant cross-section of 40-mm-diameter, 500-mm--length and one with the tapered cross-section from 40-mm-diameter to 20-mm-diameter, 400-mm-length) is fixed between walls and a torque T is applied at the junction. Determine the angle of twist at B. Shaft is made of 6061-T6 Aluminum.arrow_forward
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