A steel bar withstands simultaneously a 30 kN compressive force, a 5 kNm bending moment and a 1kNm torque. Assume the cross-section is circular with diameter R. Determine, for a point at the position of greatest compressive bending stress: (a) The normal stress on a plane inclined at 30° to the shaft axis (b) The shear stress on a plane inclined at 60° to the shaft axis

A steel bar withstands simultaneously a 30 kN compressive force, a 5 kNm bending moment and a 1kNm torque. Assume the cross-section is circular with diameter R. Determine, for a point at the position of greatest compressive bending stress: (a) The normal stress on a plane inclined at 30° to the shaft axis (b) The shear stress on a plane inclined at 60° to the shaft axis

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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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 steel bar withstands simultaneously a 30 kN compressive force, a 5 kNm bending moment and
a lkNm torque. Assume the cross-section is circular with diameter R. Determine, for a point at the
position of greatest compressive bending stress:
(a) The normal stress on a plane inclined at 30° to the shaft axis
(b) The shear stress on a plane inclined at 60° to the shaft axis

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