A stepped shaft ABCO consisting of solid circular segments is sublected to three torques, as shown in the figure. The torques have magnitudes of 12-1 kip-in, 9.1 kip-in., and 8.5 kip-in. The length of each segment is 25 in, and the diameters of the segments are 3.5 in., 2.75 in, and 2.5 in. The material is steel with shear modulus of elasticity G 11.6 x 10 ksi. (Assume that the xaxds is to the right.) 8.5 kip-in. 9.1 kip-in. 13.5 in. h 12.75 in. 12.5 in. 25 in. 25 in. 25 in. (a) Calculate the maximum shear stress r, in the shaft. (Enter the magnitude in ksi. ksi Calculate the angle of twist (in degrees) at end D. (Use the statics sign convention.) (b) If each segment must have the same shear stress, find the required diameter (in inches) of each segment in part (a) so that all three segments have shear stress , from part (a). What is the resulting angle of twist at D (in degrees)? (Use the statics sign convention. Due to the nature of this problem, do not use rounded intermediate values in your calculations-including answers submitted in WebAssign.)

A stepped shaft ABCO consisting of solid circular segments is sublected to three torques, as shown in the figure. The torques have magnitudes of 12-1 kip-in, 9.1 kip-in., and 8.5 kip-in. The length of each segment is 25 in, and the diameters of the segments are 3.5 in., 2.75 in, and 2.5 in. The material is steel with shear modulus of elasticity G 11.6 x 10 ksi. (Assume that the xaxds is to the right.) 8.5 kip-in. 9.1 kip-in. 13.5 in. h 12.75 in. 12.5 in. 25 in. 25 in. 25 in. (a) Calculate the maximum shear stress r, in the shaft. (Enter the magnitude in ksi. ksi Calculate the angle of twist (in degrees) at end D. (Use the statics sign convention.) (b) If each segment must have the same shear stress, find the required diameter (in inches) of each segment in part (a) so that all three segments have shear stress , from part (a). What is the resulting angle of twist at D (in degrees)? (Use the statics sign convention. Due to the nature of this problem, do not use rounded intermediate values in your calculations-including answers submitted in WebAssign.)

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter1: Tension, Compression, And Shear

Section: Chapter Questions

Problem 1.3.17P: A stepped shaft ABC consisting of two solid, circular segments is subjected to torques T}and...

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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 12.1 kip-in., 9.1 kip-in., and 8.5 kip-in. The length of each segment is 25 in. and the diameters of the segments are 3.5 in., 2.75 in., and 2.5 in. The material is steel with shear modulus of elasticity G = 11.6 x 10° ksi. (Assume that the +x-axis
is to the right.)
12.1 kip-in.
9.1 kip-in.
8.5 kip-in.
|3.5 in.
h 12.75 in.
| 2.5 in.
в 1
-25 in.
25 in.
-25 in.
(a) Calculate the maximum shear stress Tmax in the shaft. (Enter the magnitude in ksi.)
ksi
Calculate the angle of twist o, (in degrees) at end D. (Use the statics sign convention.)
(b) If each segment must have the same shear stress, find the required diameter (in inches) of each segment in part (a) so that all three segments have shear stress Tmax from part (a).
CAB =
in.
dBc =
in.
dcD
in.
What is the resulting angle of twist at D (in degrees)? (Use the statics sign convention. Due to the nature of this problem, do not use rounded intermediate values in your calculations-including answers submitted in WebAssign.)

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