Consider a solid bar with 1.00 in diameter subjected to a bending moment, M, and a twisting moment, T, with equal magnitudes, so that M = T. M a) If the bar is made of a brittle material that fails in uniaxial tension at 6000 psi, what is the minimum value of M and I that would cause brittle failure? Make a sketch of the bar and show the orientation of the fracture plane relative to the axial direction of the bar. b) If the bar is made of a ductile material with yield stress of 36000 psi, what is the minimum value of M and T that would cause yielding? Assume von-Mises theory.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter8: Applications Of Plane Stress (pressure Vessels, Beams, And Combined Loadings)
Section: Chapter Questions
Problem 8.2.8P: A spherical steel pressure vessel (diameter 500 mm, thickness 10 mm) is coated with brittle lacquer...
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Consider a solid bar with 1.00 in diameter subjected to a bending moment, M, and a
twisting moment, T, with equal magnitudes, so that M = T.
M
a) If the bar is made of a brittle material that fails in uniaxial tension at 6000 psi,
what is the minimum value of M and T that would cause brittle failure?
Make a sketch of the bar and show the orientation of the fracture plane relative to
the axial direction of the bar.
b) If the bar is made of a ductile material with yield stress of 36000 psi, what is the
minimum value of M and T that would cause yielding? Assume von-Mises theory.
Hint: Start by determining the state of stress at a point on the top of the bar.
Transcribed Image Text:Consider a solid bar with 1.00 in diameter subjected to a bending moment, M, and a twisting moment, T, with equal magnitudes, so that M = T. M a) If the bar is made of a brittle material that fails in uniaxial tension at 6000 psi, what is the minimum value of M and T that would cause brittle failure? Make a sketch of the bar and show the orientation of the fracture plane relative to the axial direction of the bar. b) If the bar is made of a ductile material with yield stress of 36000 psi, what is the minimum value of M and T that would cause yielding? Assume von-Mises theory. Hint: Start by determining the state of stress at a point on the top of the bar.
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