1.This question relates to stresses due to combined loading.A shaft subjected to combined torsion and axial thrust is designed to resist a shear stress anda compressive stress as shown in Figure Q1. Using the information provided in Table Q1:Figure Q1Txy90 mpaox130 mpaa) Determine the principal stresses and show them on a sketch of a properly oriented element.b) Determine the maximum shear stresses and associated normal stresses and show themon a sketch of a properly oriented element.c) Calculate the safety factors according to the three theories (Rankine, Tresca, and Von-Mises). Take the yield strength of the material as, Oyield = 250 MPa.d) Sketch the Mohr's circle for the stressed component location and indicate the stressstates, principal stresses, and maximum shear stress.

Given: The stress in x-direction = -130 MPa The shear stress acting on element = 90 MPa

1. This question relates to stresses due to combined loading. A shaft subjected to combined torsion and axial thrust is designed to resist a shear stress and a compressive stress as shown in Figure Q1. Using the information provided in Table Q1: Figure Q1 Txy 90 mpa 10x 130 mpa

1. This question relates to stresses due to combined loading. A shaft subjected to combined torsion and axial thrust is designed to resist a shear stress and a compressive stress as shown in Figure Q1. Using the information provided in Table Q1: Figure Q1 Txy 90 mpa 10x 130 mpa

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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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.

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