The length of the assembly shown decreases by 0.40 mm when

Chapter 2, Problem 2.38

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QUESTION:

The length of the assembly shown decreases by 0.40 mm when an axial force is applied by means of rigid end plates. Determine (a) the magnitude of the applied force, (b) the corresponding stress in the brass core.

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QUESTION:

The length of the assembly shown decreases by 0.40 mm when an axial force is applied by means of rigid end plates. Determine (a) the magnitude of the applied force, (b) the corresponding stress in the brass core.

ANSWER:

Step 1 of 4

Let  portion of axial force carried by shell

 Portion of axial force carried by core

Deflection caused by axial force of Aluminium shell

, or

Deflection caused by axial force of Brass core is

 , or

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