Problem #3: A circular shaft, fixed to the wall, is loaded as indicated in the figure below. Using all three failure criteria (Rankine's theory, Tresca criterion, and Von Mises criterion), determine the load magnitude, R, that causes yielding at point A on the cross-section. Assume the yield strength of the material is 64 ksi.

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Problem #3: A circular shaft, fixed to the wall, is loaded as indicated in the figure below. Using all three failure
criteria (Rankine's theory, Tresca criterion, and Von Mises criterion), determine the load magnitude, R, that causes
yielding at point A on the cross-section. Assume the yield strength of the material is 64 ksi.
Notes:
●
●
Point A is at the mid-depth of the section and on the leftmost fiber (as viewed below).
At the fixed base, the shaft will be subjected to a bending moment, a torsional moment, a shear force, and
a normal force.
T
dª and J = 2dª. Q does not need to be provided, as you should
Recall for a circular cross-section; I =
see herein.
64
32
N
y
A
3 ft
R
4 in.K
2 ft
12R
X
Transcribed Image Text:Problem #3: A circular shaft, fixed to the wall, is loaded as indicated in the figure below. Using all three failure criteria (Rankine's theory, Tresca criterion, and Von Mises criterion), determine the load magnitude, R, that causes yielding at point A on the cross-section. Assume the yield strength of the material is 64 ksi. Notes: ● ● Point A is at the mid-depth of the section and on the leftmost fiber (as viewed below). At the fixed base, the shaft will be subjected to a bending moment, a torsional moment, a shear force, and a normal force. T dª and J = 2dª. Q does not need to be provided, as you should Recall for a circular cross-section; I = see herein. 64 32 N y A 3 ft R 4 in.K 2 ft 12R X
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