MECHANICS OF MATERIALS
11th Edition
ISBN: 9780137605521
Author: HIBBELER
Publisher: RENT PEARS
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Chapter 1.5, Problem 61P
To determine
The shear stress in the shaft at collar shaft interface.
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Chapter 1 Solutions
MECHANICS OF MATERIALS
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- Problem 2. The solid aluminum shaft has a diameter of 50 mm. Determine the absolute maximum shear stress in the shaft and sketch the shear-stress distribution along a radial line of the shaft where the shear stress is a maximum. Set T₁= 20 N-m. B 68 N.m D 49 N.m 35 N.marrow_forwardThe copper pipe has an outer diameter of 50 mm and an inner diameter of 40 mm. It is tightly secured to the wall at A and three torques are applied to it as shown. determine the shear stress at each segment and the absolute maximum shear stress developed in the pipe. 80 N-m 20 N-m 30 N-marrow_forwardThe solid 50-mm-diameter shaft is subjected to the torques applied to the gears. Determine the absolute maximum shear stress in the shaft.arrow_forward
- The shaft is fixed to the wall at A and is subjected to the torques shown. Determine the maximum shear stress in the shaft. A fillet weld having a radius of 2.75 mm is used to connect the shafts at B.arrow_forward2. The solid shaft has a diameter of 0.75 in. If it is subjected to the torques shown, determine the maximum shear stress developed in regions CD and EF of the shaft. The bearings at A and F allow free rotation of the (ANS: point A: 6.04 MPa, point B: 6.04 MPa) shaft. J. -12 (0.75)² = 0.0129 11 B A 25 lb-ft 40 lb-ft 20 lb-ft 35 lb-ftarrow_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_forward
- The shaft has an outer diameter of 1.5 in. and an inner diameter of 0.8 in. If it is subjected to the applied torques as shown, determine the shear stress distribution on the cross-section within region EA. The smooth bearings at A and B do not resist torque 1500 lb-in. E 2100 lb-in. B 600 lb.in.arrow_forwardDetermine the required diameter of the pins at A and B to the nearest 116 in. if the allowable shear stress for the material is tallow = 6 ksi. Pin A is subjected to double shear, whereas pin B is subjected to single shear.arrow_forwardThe assembly consists of two sections of galvanized steel pipe connected together using a reducing coupling at B. The smaller pipe has an outer diameter of 0.75 in. and an inner diameter of 0.68 in., whereas the larger pipe has an outer diameter of 1 in. and an inner diameter of 0.86 in. If the pipe istightly secured to the wall at C, determine the maximum shear stress in each section of the pipe when the couple is applied to the handles of the wrench.arrow_forward
- Determine the internal torque at each section and show the shear stress on differential volume elements located at A, B, C, and D.arrow_forwardThe shaft is hollow from A to B and solid from B to C. Determine the maximum shear stress in the shaft. The shaft has an outer diameter of 80 mm, and the thickness of the wall of the hollow segment is 10 mm.arrow_forwardThe bearings at A and B exert only x and z components of force on the steel shaft. Determine the shaft’s diameter to the nearest millimeter so that it can resist the loadings of the gears without exceeding an allowable shear stress of 82 MPa. Use the maximum-shear-stress theory of failure.arrow_forward
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