1.

A rod of length L, cross-section area A1 and modulus of elasticity E1, has been placed inside a tube of length L, of cross-section area A2 and modulus of elasticity E2, and the two are firmly held by end plates. The portion of the load P applied on the end plates shared by rod and tube, respectively, are

A. \(\frac{{P{A_1}{E_1}}}{{{A_1}{E_1} + {A_2}{E_2}}}\;and\frac{{P{A_2}{E_2}}}{{{A_1}{E_1} + {A_2}{E_2}}}\)
B. \(\frac{{P{A_2}{E_2}}}{{{A_1}{E_1} + {A_2}{E_2}}}\;and\frac{{P{A_1}{E_1}}}{{{A_1}{E_1} + {A_2}{E_2}}}\)
C. \(\frac{{P{A_1}{E_1}}}{{{A_1}{E_1} + {A_2}{E_1}}}\;and\frac{{P{A_2}{E_2}}}{{{A_1}{E_2} + {A_2}{E_2}}}\)
D. \(\frac{{P{A_1}{E_1}}}{{{A_1} + {A_2}}}\;and\frac{{P{A_2}{E_2}}}{{{A_1} + {A_2}}}\)
Answer» B. \(\frac{{P{A_2}{E_2}}}{{{A_1}{E_1} + {A_2}{E_2}}}\;and\frac{{P{A_1}{E_1}}}{{{A_1}{E_1} + {A_2}{E_2}}}\)


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