The 1 inch diameter rod is subjected to the loads shown below. Determine the state of stress at point "A" and show the results on a differential volume element at point "A". Also, determine the principle stresses (0₁, 02, and 03) at point "A", the absolute maximum normal stress (Abs max) in the material at point "A", and the absolute maximum shear stress (TAbs max) in the material at point "A". (Assume the stress caused by atmospheric (air) pressure is negligible.)
The 1 inch diameter rod is subjected to the loads shown below. Determine the state of stress at point "A" and show the results on a differential volume element at point "A". Also, determine the principle stresses (0₁, 02, and 03) at point "A", the absolute maximum normal stress (Abs max) in the material at point "A", and the absolute maximum shear stress (TAbs max) in the material at point "A". (Assume the stress caused by atmospheric (air) pressure is negligible.)
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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Transcribed Image Text:The 1 inch diameter rod is subjected to the loads shown below. Determine the state of stress at
point "A" and show the results on a differential volume element at point "A". Also, determine the
principle stresses (01, 02, and 03) at point "A", the absolute maximum normal stress (Abs max) in
the material at point "A", and the absolute maximum shear stress (TAbs max) in the material at
point "A". (Assume the stress caused by atmospheric (air) pressure is negligible.)
3 in.
80 lb
75 lb
100 lb
B
8 in.
Ans.
6895 psi
TAbs Max A = 3588 psi
Abs Max A
=
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Step 1: Calculate the normal bending stress and shear (torsional) stress due to load 80 lb.
VIEWStep 2: Calculate the normal bending stress and shear (transverse) stress due to load 100 lb.
VIEWStep 3: Calculate the normal bending stress and normal axial stress due to load 75 lb.
VIEWStep 4: Calculate the net normal stress at point A.
VIEWStep 5: Calculate the net shear stress at point A.
VIEWStep 6: Calculate the principal stresses and maximum shear stress at point A.
VIEWStep 7: State of stress on differential volume element.
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