The compound shaft shown in the figure consists of two steel [G = 80 GPa] pipe segments. The shaft is subjected to external torques Tâ and Tc which act in the directions shown. Segment (1) has an outside diameter of 212 mm and a wall thickness of 9 mm . Segment (2) has an outside diameter of 141 mm and a wall thickness of 13 mm. The torque is known to have a magnitude of Tc = 26 kN · m. The shear strain in segment (1) is measured as 520 µrad. Determine the magnitude of external torque TB .

The compound shaft shown in the figure consists of two steel [G = 80 GPa] pipe segments. The shaft is subjected to external torques Tâ and Tc which act in the directions shown. Segment (1) has an outside diameter of 212 mm and a wall thickness of 9 mm . Segment (2) has an outside diameter of 141 mm and a wall thickness of 13 mm. The torque is known to have a magnitude of Tc = 26 kN · m. The shear strain in segment (1) is measured as 520 µrad. Determine the magnitude of external torque TB .

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

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The compound shaft shown in the figure consists of two steel [G = 80 GPa] pipe segments. The shaft is subjected to external
torques TB and Tc which act in the directions shown. Segment (1) has an outside diameter of 212 mm and a wall thickness of 9 mm
Segment (2) has an outside diameter of 141 mm and a wall thickness of 13 mm. The torque is known to have a magnitude of
Tc = 26 kN • m. The shear strain in segment (1) is measured as 520 µrad. Determine the magnitude of external torque TB.
TB
(1)
Tc
TB =
i
kN · m
II

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