A vertical bar is loaded with axial loads at points B, C, and D, as shown in the figure. The bar is made of steel with a modulus of elasticity E = 29,000 ksi. The bar has a cross-sectional area of 8.24 in². Calculate the displacements at points B, C, and D. Ignore the weight of the bar.

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A PB = 50 lb B C Pc= 100 lb PD = 200 lb D T L₁ = 20 in. L₂ = 20 in. L3 = 40 in.