question_answer

For a composite consisting of a bar enclosed inside a tube of another material when compressed under a load 'W? as a whole through rigid collars at the end of the bar. The equation of compatibility is given by (suffixes 1 and 2) refer to bar and tube respectively:

A) \[{{W}_{1}}+{{W}_{2}}=W\]

B) \[{{W}_{1}}+{{W}_{2}}=\text{constant}\]

C) \[\frac{{{W}_{1}}}{{{A}_{1}}{{E}_{1}}}=\frac{{{W}_{2}}}{{{A}_{2}}{{E}_{2}}}\]

D) \[\frac{{{W}_{2}}}{{{A}_{2}}{{E}_{1}}}=\frac{{{W}_{2}}}{{{A}_{1}}{{E}_{2}}}\]