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The A-36 steel bar shown below consists of two segments, one of circular cross section of radius r. and one of square cross section.

The A-36 steel bar shown below consists of two segments, one of circular cross section of radius r. and one of square cross section. If it is subjected to the axial loading of P, determine the dimensions a of the square segment so that the strain energy within the square segment is the same as in the circular segment. P 2 L V- P+S 2 L a a P

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