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The vertical column shown in the picture has both ends fixed. The elastic modulus E is uniform. Its cross- sectional area( )A x is uniform

The vertical column shown in the picture has both ends fixed. The elastic modulus E is uniform. Its cross- sectional area( )A x is uniform in the upper part and varies linearly in the lower part. It carries its own weight, so that the load is proportional to the cross- sectional area

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