A solid 1.10 in. diameter shaft is subjected to a torque of T = 390 lb-ft and an axial load of P = 4900 lb. (a) Determine the principal stresses and the maximum shear stress at point H on the surface of the shaft. (b) Show the stresses of part (a) and their directions on an appropriate sketch.

A solid 1.10 in. diameter shaft is subjected to a torque of T = 390 lb-ft and an axial load of P = 4900 lb. (a) Determine the principal stresses and the maximum shear stress at point H on the surface of the shaft. (b) Show the stresses of part (a) and their directions on an appropriate sketch.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter7: Analysis Of Stress And Strain

Section: Chapter Questions

Problem 7.3.8P: An element in plane stress from the fuselage of an airplane is subjected to compressive stresses of...

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Concept explainers

Stress transformation

The term stress indicates the measure of internal forces that develop due to an external force's application on an object. When a specific external force is applied to an object, internal stress generates in the material. The value of stress can obtain by taking the ratio of the externally applied force and cross-sectional area of the object. There are different types of stress depending on the type of external force.

Question

A solid 1.10 in. diameter shaft is subjected to a torque of T = 390 lb-ft and an axial load of P = 4900 lb.
(a) Determine the principal stresses and the maximum shear stress at point H on the surface of the shaft.
(b) Show the stresses of part (a) and their directions on an appropriate sketch.
Answer:
(a) Op1 =
i
%p2 = i
Tmax in-plane
i
H
(1)
psi
psi
psi
T
B
P
X
(b) Show the stresses of part (a) and their directions on an appropriate sketch.

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