A shaft subjected to bending moment varying from -200 N m to +500 N m and a varying torque from 50 N m to 175 N m. If material of the shaft is 30C8, stress concentration factor is 1.85, notch sensitivity is 0.95 reliability 99.9% and factor of safety is 1.5, find the diameter of the shaft. The load on a bolt consists of an axial pull of 10 kN together with a transverse shear force of 5 kN. Find the diameter of bolt required according to  Maximum principal stress theory; Maximum shear stress theory;  Maximum principal strain theory; Maximum strain energy theory; and Maximum distortion energy theory.  Take permissible tensile stress at elastic limit = 100 MPa and poisson’s ratio = 0.3

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter2: Axially Loaded Members
Section: Chapter Questions
Problem 2.5.31P
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A shaft subjected to bending moment varying from -200 N m to +500 N m and a varying torque from 50 N m to 175 N m. If material of the shaft is 30C8, stress concentration factor is 1.85, notch sensitivity is 0.95 reliability 99.9% and factor of safety is 1.5, find the diameter of the shaft. The load on a bolt consists of an axial pull of 10 kN together with a transverse shear force of 5 kN. Find the diameter of bolt required according to  Maximum principal stress theory; Maximum shear stress theory;  Maximum principal strain theory; Maximum strain energy theory; and Maximum distortion energy theory.  Take permissible tensile stress at elastic limit = 100 MPa and poisson’s ratio = 0.3
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