Answered: yield strength of oy 750 MPa. Determine…

yield strength of oy 750 MPa. Determine the design factor of safety using Tresca and von Mises Theories. Hint: find the point

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 3.11.12P: A thin tubular shaft with a circular cross section (see figure) and with inside diameter 100 mm is...

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Concept explainers

Combined Loading

Any functioning component, such as machine parts, structural members, pressure vessels, and so on, are all under the influence of more than one force. When anybody is under the influence of more than one force such as shear forces, bending moments, axial forces, torsion, and so on, then such body is said to be under combined loading. A very practical example of combined loading is the crankshaft of an internal combustion engine (IC engine). The crankshaft of the IC engine is under high rpm, which is caused due to the torsional forces. Due to the presence of piston, counterbalances, and internal imbalances, the crankshaft experiences lateral forces and due to the rise in temperature, the crankshaft undergoes thermal expansion, which pulls the crankshaft along the axial direction and lateral direction. The presence of unbalanced loads along the periphery of the crankshaft also induces a bending moment.

Question

=
A shaft of circular cross-section with diameter 100 mm is sub-
jected to a bending moment of M = 10 kN.m, torque T = 30kN.m,
and axial load F = 50 kN. Consider for the material of the shaft a
yield strength of oy 750 MPa. Determine the design factor of
safety using Tresca and von Mises Theories. Hint: find the point
in the shaft that would be subjected to the largest stresses caused
by the forces applied. Refer the the lecture.
Example of Tresca with the inclusion of safety factor:
01 - 03
2
Where N is the safety factor.
=
бу
2N

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