Consider the steel shaft in the figure as shown. The working stresses are ơw 120 MPa and Tw = 70 MPa. Find the smallest diameter d of the steel shaft that is capable of carrying the loads shown in the figure. Neglect the weights of the pulleys and the shaft. The pulleys are rigidly attached to the shaft. Assume that the stress caused by direct shear force is negligible. Hint: Construct the bending moment and torque diagram produced by the loadings.

Mechanics of Materials (MindTap Course List)
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ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
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Chapter1: Tension, Compression, And Shear
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Consider the steel shaft in the figure as shown. The working stresses are ơw =
120 MPa and Tw = 70 MPa. Find the smallest diameter d of the steel shaft
that is capable of carrying the loads shown in the figure. Neglect the weights of the
pulleys and the shaft. The pulleys are rigidly attached to the shaft. Assume that
the stress caused by direct shear force is negligible.
Mтаx
Nm
Tmax
Nm
Hint:
Section just to the right of B
From Mohr's circle
1.
Construct the bending moment and torque diagram produced by the
loadings.
2.
You'll find out that there will be 2 sections (just to the right of B and C)
that will give the largest combinations.
3.
Отах
kPa
πd3
Determine the maximum normal and maximum shear stress using the
Mohr's circle.
Ттах
kPa
4. Compare the maximum normal and maximum shear stresses to the
паз
allowable stresses.
5 Compute for d, and select which d values would be the safest.
Section just to the right of C
From Mohr's circle
Отах
kPa
nd³
Ттах
kPa
nd³
2500NM'
Safest value of d.
d
тт
2500 fo
LR o.Sm
50ON
3500
L-ROsm
Transcribed Image Text:Consider the steel shaft in the figure as shown. The working stresses are ơw = 120 MPa and Tw = 70 MPa. Find the smallest diameter d of the steel shaft that is capable of carrying the loads shown in the figure. Neglect the weights of the pulleys and the shaft. The pulleys are rigidly attached to the shaft. Assume that the stress caused by direct shear force is negligible. Mтаx Nm Tmax Nm Hint: Section just to the right of B From Mohr's circle 1. Construct the bending moment and torque diagram produced by the loadings. 2. You'll find out that there will be 2 sections (just to the right of B and C) that will give the largest combinations. 3. Отах kPa πd3 Determine the maximum normal and maximum shear stress using the Mohr's circle. Ттах kPa 4. Compare the maximum normal and maximum shear stresses to the паз allowable stresses. 5 Compute for d, and select which d values would be the safest. Section just to the right of C From Mohr's circle Отах kPa nd³ Ттах kPa nd³ 2500NM' Safest value of d. d тт 2500 fo LR o.Sm 50ON 3500 L-ROsm
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