Answered: 12.5 kip-in. |3.5 in. 9.8 kip-in. 9.2…

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12.5 kip-in. |3.5 in. 9.8 kip-in. 9.2 kip-in. | 2.75 in. | 2.5 in. B 1 c ↑ 25 in.- 25 in. -25 in. PROBLEM 3.4-3

Automotive Technology: A Systems Approach (MindTap Course List)

6th Edition

ISBN:9781133612315

Author:Jack Erjavec, Rob Thompson

Publisher:Jack Erjavec, Rob Thompson

Chapter40: Drive Axles And Differentials

Section: Chapter Questions

Problem 8RQ: The double-offset joint is typically used in applica tions that require______. a. higher operating...

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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 stepped shaft ABCD consisting of solid circular segments is subjected to three torques, as shown in the figure. The torques have magnitudes of 12.5 kip-in., 9.8 kip-in., and 9.2 kip-in. The length of each segment is 25 in. and the diameters of the segments arc 3.5 in., 2.75 in., and 2,5 in. The material is steel with shear modulus of elasticity G = 11.6 x 10^-3ksi.

a. Calculate the maximum shear stress τ . in the shaft and the angle of twist Φ_D(in degrees) at end D?

Ifeach segment must have the same shear stress, find the required diameter of each segment in part (a) so that all three segments have shear stress τ from part (a). What is the resulting angle of twist at D?

12.5 kip-in.
|3.5 in.
9.8 kip-in.
9.2 kip-in.
| 2.75 in.
| 2.5 in.
B 1
c ↑
25 in.-
25 in.
-25 in.
PROBLEM 3.4-3

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