Prob. # 2] The 1.5-in-diameter solid steel shaft shown below is simply supported at the ends. Two pulleys are keyed to the shaft where pulley B is of diameter 4.0 in and pulley C is of diameter 8.0 in. Considering bending and torsional stresses only, a) determine the locations and magnitudes of the greatest bending and torsional stresses in the shaft. Then, at the location of the maximum bending and torsional stresses, b) determine the maximum and minimum principal stresses, including the angle of inclination of the planes on which the principal stresses act, and c) the maximum shear stress, including the angle of inclination of the element on which the maximum shear stress occurs. Note: Draw the stress elements.
Prob. # 2] The 1.5-in-diameter solid steel shaft shown below is simply supported at the ends. Two pulleys are keyed to the shaft where pulley B is of diameter 4.0 in and pulley C is of diameter 8.0 in. Considering bending and torsional stresses only, a) determine the locations and magnitudes of the greatest bending and torsional stresses in the shaft. Then, at the location of the maximum bending and torsional stresses, b) determine the maximum and minimum principal stresses, including the angle of inclination of the planes on which the principal stresses act, and c) the maximum shear stress, including the angle of inclination of the element on which the maximum shear stress occurs. Note: Draw the stress elements.
Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter2: Axially Loaded Members
Section: Chapter Questions
Problem 2.5.25P: A capped cast-iron pipe is compressed by a brass rod, as shown. The mil is turned until it is just...
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![Prob. # 2] The 1.5-in-diameter solid steel shaft shown below is simply supported at the ends.
Two pulleys are keyed to the shaft where pulley B is of diameter 4.0 in and pulley C is of
diameter 8.0 in. Considering bending and torsional stresses only, a) determine the locations and
magnitudes of the greatest bending and torsional stresses in the shaft. Then, at the location of
the maximum bending and torsional stresses, b) determine the maximum and minimum
principal stresses, including the angle of inclination of the planes on which the principal stresses
act, and c) the maximum shear stress, including the angle of inclination of the element on which
the maximum shear stress occurs. Note: Draw the stress elements.
Figure problem #2.
800 lbf
10 in
200 lbf
1000 lbf
10 in
200 lbf
10 in
1200 lbf
500 lbf
1600 lbf-in
10 in
100 lbf
10 in
1600 lbf-in
10 in
600 Ibf
400 lbf
x
400 lbf](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe868613e-23e4-4be8-8c8d-72a126dc5908%2Fce13e9b9-bcf3-485e-b3b3-3478f4e792ab%2Fgn18wvq_processed.png&w=3840&q=75)
Transcribed Image Text:Prob. # 2] The 1.5-in-diameter solid steel shaft shown below is simply supported at the ends.
Two pulleys are keyed to the shaft where pulley B is of diameter 4.0 in and pulley C is of
diameter 8.0 in. Considering bending and torsional stresses only, a) determine the locations and
magnitudes of the greatest bending and torsional stresses in the shaft. Then, at the location of
the maximum bending and torsional stresses, b) determine the maximum and minimum
principal stresses, including the angle of inclination of the planes on which the principal stresses
act, and c) the maximum shear stress, including the angle of inclination of the element on which
the maximum shear stress occurs. Note: Draw the stress elements.
Figure problem #2.
800 lbf
10 in
200 lbf
1000 lbf
10 in
200 lbf
10 in
1200 lbf
500 lbf
1600 lbf-in
10 in
100 lbf
10 in
1600 lbf-in
10 in
600 Ibf
400 lbf
x
400 lbf
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VIEWStep 2: Calculation of locations and magnitudes of the greatest bending and torsional stresses in the shaft.
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VIEWStep 4: Calculation of the maximum Shear stresses and their Angle
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