Problem 5: A steel member of circular cross section is subjected to a torsional stress that varies from 0 to 5000 psi, and at the same time it is subjected to an axial stress that varies from -2000 psi to +4000 psi. Neglecting stress concentration and column effect, and assuming that the maximum stresses in bending and axial load occur at the same time, determine (a) the maximum equivalent shear stress, (b) the design factor of safety based upon yield in shear. The material has an endurance limit s= 30,000 psi, and a yield strength sy = 70,000 psi. The diameter of the member is less than inch; B=1; and the surface has a mirror polish, C = 1. Ans. (a) Tes(max) = 9100 psi, (b) N = 3.85 Note: A, B, C are the load factor, size factor and surface factor respectively

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Problem 5:
A steel member of circular cross section is subjected to a torsional stress that varies from 0 to 5000 psi,
and at the same time it is subjected to an axial stress that varies from -2000 psi to +4000 psi. Neglecting
stress concentration and column effect, and assuming that the maximum stresses in bending and axial load
occur at the same time, determine (a) the maximum equivalent shear stress, (b) the design factor of safety
based upon yield in shear. The material has an endurance limit
Sq 30,000 psi, and a yield strength sy
70,000 psi. The diameter of the member is less than inch; B=1; and the surface has a mirror polish,
C = 1. Ans. (a) (max) = 9100 psi, (b) N = 3.85
Note: A, B, C are the load factor, size factor and surface factor respectively
Transcribed Image Text:Problem 5: A steel member of circular cross section is subjected to a torsional stress that varies from 0 to 5000 psi, and at the same time it is subjected to an axial stress that varies from -2000 psi to +4000 psi. Neglecting stress concentration and column effect, and assuming that the maximum stresses in bending and axial load occur at the same time, determine (a) the maximum equivalent shear stress, (b) the design factor of safety based upon yield in shear. The material has an endurance limit Sq 30,000 psi, and a yield strength sy 70,000 psi. The diameter of the member is less than inch; B=1; and the surface has a mirror polish, C = 1. Ans. (a) (max) = 9100 psi, (b) N = 3.85 Note: A, B, C are the load factor, size factor and surface factor respectively
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