5. A car is driving down the road and goes over a speed bump. The car has a solid circular drive shaft that is subjected to a tensile axial force of F = 400 kN, a bending moment of M = 10.0 kN·m, and a torque of T = 18.0 kN·m as a result of the bump. The shaft has a diameter d = 10.0 cm and mechanical properties of E = 200 GPa, v = 0.35 and σ = 200 MPa. a. What and where is the maximum stress? Hint: use the principle of superposition. b. What are the principal stresses and their directions? c. If it is a ductile steel, will the shaft yield? d. If it is a brittle steel, will the shaft fail? F M T M

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter1: Tension, Compression, And Shear
Section: Chapter Questions
Problem 1.3.18P: A stepped shaft ABC consisting of two solid, circular segments is subjected to uniformly distributed...
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5. A car is driving down the road and goes over a speed bump. The car has a solid circular drive shaft that
is subjected to a tensile axial force of F = 400 kN, a bending moment of M = 10.0 kN·m, and a
torque of T = 18.0 kN·m as a result of the bump. The shaft has a diameter d = 10.0 cm and
mechanical properties of E = 200 GPa, v = 0.35 and σ = 200 MPa.
a. What and where is the maximum stress? Hint: use the principle of superposition.
b. What are the principal stresses and their directions?
c. If it is a ductile steel, will the shaft yield?
d. If it is a brittle steel, will the shaft fail?
F
M
T
M
Transcribed Image Text:5. A car is driving down the road and goes over a speed bump. The car has a solid circular drive shaft that is subjected to a tensile axial force of F = 400 kN, a bending moment of M = 10.0 kN·m, and a torque of T = 18.0 kN·m as a result of the bump. The shaft has a diameter d = 10.0 cm and mechanical properties of E = 200 GPa, v = 0.35 and σ = 200 MPa. a. What and where is the maximum stress? Hint: use the principle of superposition. b. What are the principal stresses and their directions? c. If it is a ductile steel, will the shaft yield? d. If it is a brittle steel, will the shaft fail? F M T M
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