A member \(A B C D\) is subjected to point loads \(P_{1}\) to \(P_{4}\) as shown in Fig. 13.61. Find the value of force \(P_{2}\) for equilibrium, if \(P_{1}=40 \mathrm{kN}, P_{2}=400 \mathrm{kN}\) and \(P_{4}=120 \mathrm{kN}\). Also calculate the total elongation, if \(E=200 \mathrm{GPa}\).

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2000mm 2 A 600mm B 1000mm D P2 P3 PA P 1.0m -0.3m- Fig. 13.61 0.8m