An unnotched solid circular shaft of diameter 50 mm is made of Ti-6Al-4V (yield stress =1185Mpa, ultimate stress = 2300 MPa, A= 2140 MPa and b = -.104). A zero to maximum (R=0) cyclic torque of 10KN.m is applied together with a zero-to-maximum (R=0) cyclic bending of M=7.5 KN.m Note: Bending and torque are applied in phase. a) Please determine safety factor with respect to Von-Mises theory. b) Please determine safety factor with respect to Maximum Shearing Stress Theory. c) Please determine the number of cycles to failure.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter3: Torsion
Section: Chapter Questions
Problem 3.8.3P: A solid circular shaft AB of diameter d is fixed against rotation at both ends (sec figure), A...
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The textbook we use for this class is "Shigley's Mechanical Engineering Design", Richard G. Budynas, J. Keith Nisbett,

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An unnotched solid circular shaft of diameter 50 mm is made of Ti-6Al-4V (yield stress
=1185Mpa, ultimate stress = 2300 MPa, A= 2140 MPa and b = -.104). A zero to maximum
(R=0) cyclic torque of 10KN.m is applied together with a zero-to-maximum (R=0) cyclic
bending of M=7.5 KN.m
Note: Bending and torque are applied in phase.
a) Please determine safety factor with respect to Von-Mises theory.
b) Please determine safety factor with respect to Maximum Shearing Stress Theory.
c) Please determine the number of cycles to failure.
Transcribed Image Text:An unnotched solid circular shaft of diameter 50 mm is made of Ti-6Al-4V (yield stress =1185Mpa, ultimate stress = 2300 MPa, A= 2140 MPa and b = -.104). A zero to maximum (R=0) cyclic torque of 10KN.m is applied together with a zero-to-maximum (R=0) cyclic bending of M=7.5 KN.m Note: Bending and torque are applied in phase. a) Please determine safety factor with respect to Von-Mises theory. b) Please determine safety factor with respect to Maximum Shearing Stress Theory. c) Please determine the number of cycles to failure.
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