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:

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

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

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

For a composite consisting of a bar enclosed inside a tube of another

1.	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.	\[\frac{{{W}_{2}}}{{{A}_{2}}{{E}_{1}}}=\frac{{{W}_{2}}}{{{A}_{1}}{{E}_{2}}}\]
Answer» D. \[\frac{{{W}_{2}}}{{{A}_{2}}{{E}_{1}}}=\frac{{{W}_{2}}}{{{A}_{1}}{{E}_{2}}}\]

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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:

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