1. Consider two solid circular shafts connected by 5-cm and 25-cm-pitch- ø gears as shown in the figure. Find the angular rotation of D, the right end of one shaft, with respect to A, the left end of the other, caused by the torque of 280 N-m applied at D. The left shaft is steel for which G = 80 GPa and the right is brass for which G = 33 GPa. (all answers should be in rad)

1. Consider two solid circular shafts connected by 5-cm and 25-cm-pitch- ø gears as shown in the figure. Find the angular rotation of D, the right end of one shaft, with respect to A, the left end of the other, caused by the torque of 280 N-m applied at D. The left shaft is steel for which G = 80 GPa and the right is brass for which G = 33 GPa. (all answers should be in rad)

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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1. Consider two solid circular shafts connected by 5-cm and 25-cm-pitch- ø gears as
shown in the figure. Find the angular rotation of D, the right end of one shaft, with
respect to A, the left end of the other, caused by the torque of 280 N-m applied at
D. The left shaft is steel for which G = 80 GPa and the right is brass for which G =
33 GPa. (all answers should be in rad)
120 cm
बत्यमेवास
280 N m
2.5 im
100 cm
d= 6 cm
(b)
w25 cm pitch diameter
120 cm
1400 N m
100 cm
5 cm pitch diameter d
124
d= 3 cm
280 N- m
F= 11200 N
(a)
(c)

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