For the composite block shown in Prob. 2.33, determine (a)

Step 1 of 3

Change in length of Aluminium plates is equal to change in length of Brass core.

\(\delta_{A}=\delta_{B}=\delta\)         

Axial centric force is equal to

\(  P=P_{A}+P_{B}\)

From the equation of deflection

\(\delta=\frac{P_{A} L}{E_{A} A_{A}} \text { and } \delta=\frac{P_{B} L}{E_{B} A_{B}}\)

Therefore,

\(P_{a}=\left(E_{a} A_{a}\right) \frac{\delta}{L} ; \quad P_{b}=\left(E_{b} A_{b}\right)\left(\frac{\delta}{L}\right)\)