The solid shaft shown below is in equilibrium, supported at two bearings A and B. The pulleys C and D have diameters in the ratio 3:2. T₁ = 1000 N, T₂ = 500 N and T3 = 1500 N. The diameter of the shaft is 50 mm and yield strength sy 400 MPa. The bearings do not exert any moments or axial forces on = the shaft. a. Determine the principal stresses corresponding to maximum bending and torsional shear stresses. Ignore transverse shear stresses due to bending.

The solid shaft shown below is in equilibrium, supported at two bearings A and B. The pulleys C and D have diameters in the ratio 3:2. T₁ = 1000 N, T₂ = 500 N and T3 = 1500 N. The diameter of the shaft is 50 mm and yield strength sy 400 MPa. The bearings do not exert any moments or axial forces on = the shaft. a. Determine the principal stresses corresponding to maximum bending and torsional shear stresses. Ignore transverse shear stresses due to bending.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

The solid shaft shown below is in equilibrium, supported at two bearings A and B. The pulleys C and D
have diameters in the ratio 3:2. T₁ = 1000 N, T₂ = 500 N and T3 = 1500 N. The diameter of the shaft
is 50 mm and yield strength sy 400 MPa. The bearings do not exert any moments or axial forces on
=
the shaft.
a. Determine the principal stresses corresponding to maximum bending and torsional shear stresses.
Ignore transverse shear stresses due to bending.
C
A
H
0.3 m
0.5 m
0.2 m
B
T₁
30°
T3
60°
TA

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Step 2: Restructuring the system of forces

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Step 3: Bending XY plane

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Step 4: Bending XZ plane

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Step 5: Resultant bending stress

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Step 6: Torsional stress

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