Q.1) Two torques are applied to the solid bronze (G= 6500 ksi) shafts of a gear system shown below. The diameters of shafts AB and CD are 1.25 inch and 1.0 inch, respectively. The shaft CD ix fixed at D and the bearings at A, B, and C are frictionless. Determine the maximum shear stress in each of the shaft and the rotation of end A. 10 in. D 30 in. 80 lb·ft 40 lb·ft 8 in. 10 in. 6 in. B 4 in. 12 in.

Q.1) Two torques are applied to the solid bronze (G= 6500 ksi) shafts of a gear system shown below. The diameters of shafts AB and CD are 1.25 inch and 1.0 inch, respectively. The shaft CD ix fixed at D and the bearings at A, B, and C are frictionless. Determine the maximum shear stress in each of the shaft and the rotation of end A. 10 in. D 30 in. 80 lb·ft 40 lb·ft 8 in. 10 in. 6 in. B 4 in. 12 in.

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

Q.1) Two torques are applied to the solid bronze ( G= 6500 ksi) shafts of a gear
system shown below. The diameters of shafts AB and CD are 1.25 inch and 1.0 inch,
respectively. The shaft CD ix fixed at D and the bearings at A, B, and C are
frictionless. Determine the maximum shear stress in each of the shaft and the rotation
of end A.
10 in.
30 in.
80 lb·ft
A
40 lb ft
8 in.
10 in.
6 in.
B
4 in.
12 in.

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