A trapezoidal flat steel plate of thickness \(10 \mathrm{~mm}\) tapers uniformly from a width \(150 \mathrm{~mm}\) to \(100 \mathrm{~mm}\) in a length of \(500 \mathrm{~mm}\). Calculate the extension of the plate when subjected to axial tensile force of \(50 \mathrm{kN}\). Take \(\mathrm{E}=200 \mathrm{GPa}\)

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PA b b dx Fig. 13.46 b P