A rotating solid circular shaft is subjected to a constant bending moment of 90 N-m and a steady torque of 72 N-m. The shaft material is AISI 1050 cold-drawn steel and has a fully corrected endurance strength of Se = 230 MPa. The fatigue stress-concentration factors are given as K; = 1.75 and Krs = 1.85. With a design factor of 3, determine the minimum diameter of the shaft using the Soderberg line combined with the distortion energy failure theory.

A rotating solid circular shaft is subjected to a constant bending moment of 90 N-m and a steady torque of 72 N-m. The shaft material is AISI 1050 cold-drawn steel and has a fully corrected endurance strength of Se = 230 MPa. The fatigue stress-concentration factors are given as K; = 1.75 and Krs = 1.85. With a design factor of 3, determine the minimum diameter of the shaft using the Soderberg line combined with the distortion energy failure theory.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

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Problem 1.1MA

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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 rotating solid circular shaft is subjected to a constant bending moment of 90 N-m and a steady
torque of 72 N-m. The shaft material is AISI 1050 cold-drawn steel and has a fully corrected
endurance strength of Se = 230 MPa. The fatigue stress-concentration factors are given as
K; = 1.75 and Krs = 1.85. With a design factor of 3, determine the minimum diameter of the
shaft using the Soderberg line combined with the distortion energy failure theory.

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