Problem 3.15. A hollow aluminium tube of rectangular cross- section as shown in Fig. 3.27 is subjected to a torque of 56-5 kN.m along its longitudinal axis. Determine the shearing stresses and the angle of twist. Assume G = 28 GPa. 0.5m t2 = 0.006 ↑ 0.25m t3 t₁ = 0.012 = 0.01 (a) t4=0.006 h ti (b) Membrane surface Fig. 3.27. ***

Problem 3.15. A hollow aluminium tube of rectangular cross- section as shown in Fig. 3.27 is subjected to a torque of 56-5 kN.m along its longitudinal axis. Determine the shearing stresses and the angle of twist. Assume G = 28 GPa. 0.5m t2 = 0.006 ↑ 0.25m t3 t₁ = 0.012 = 0.01 (a) t4=0.006 h ti (b) Membrane surface Fig. 3.27. ***

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

Problem 3.15. A hollow aluminium tube of rectangular cross-
section as shown in Fig. 3·27 is subjected to a torque of 56-5 kN.m along
its longitudinal axis. Determine the shearing stresses and the angle of
twist. Assume G = 28 GPa.
0.5m
t2 = 0.006
0.25m
t₁ =
0.012
0.01
(a)
h
t4=0.006
h
=
ti
13
(b) Membrane surface
Fig. 3.27.

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