500 lb • ft Aluminum Steel Bronze 1.0 in. 2 in. $1.0 in. B 6 ft 4 ft 3 ft rIG. P FIG. P3.22 3.22 The compound shaft, composed of steel, aluminum, and bronze segments, carries the two torques shown in the figure. If Tc = 250 lb - ft, determine the max- imum shear stress developed in each material. The moduli of rigidity for steel, alu- minum, and bronze are 12 x 106 psi, 4 x 106 psi, and 6 x 106 psi, respectively.

500 lb • ft Aluminum Steel Bronze 1.0 in. 2 in. $1.0 in. B 6 ft 4 ft 3 ft rIG. P FIG. P3.22 3.22 The compound shaft, composed of steel, aluminum, and bronze segments, carries the two torques shown in the figure. If Tc = 250 lb - ft, determine the max- imum shear stress developed in each material. The moduli of rigidity for steel, alu- minum, and bronze are 12 x 106 psi, 4 x 106 psi, and 6 x 106 psi, respectively.

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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Free Body Diagram

The system of forces acting on a body tends to either rotate it or make the body undergo motion. In general, when an external agent exerts a force on a body, the body undergoes translational motion and rotational motion. The body has six degrees of freedom under the influence of that force. Here, three degrees of freedom are from the translational motion while the other three are from the rotation motion. However, sometimes the bodies are not allowed to undergo any motion and are fixed, under such conditions the body is said to be constrained.

Question

Show free body diagram and complete solution

500 lb • ft
Tc
Aluminum
Steel
Bronze
A
1.0 in.
2 in.
+1.0 in.
6 ft
4 ft 3 ft
rIG. P
FIG. P3.22
The compound shaft, composed of steel, aluminum, and bronze segments,
carries the two torques shown in the figure. If Tc = 250 lb · ft, determine the max-
imum shear stress developed in each material. The moduli of rigidity for steel, alu-
minum, and bronze are 12 x 106 psi, 4 × 106 psi, and 6 × 106 psi, respectively.
3.22

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