Consider a L1-long member AB and a L2-long member B'C with the same cross-sectional area(i. e., AAB = AB'c). Each member is fixed onto walls at A and C, respectively,

as shown in Figure 4.1. Note that the d-diameter pin holes at B and B’ on each member are separated by a distance 8Rp. An external force P is applied at D to align the pin holes and then a d-diameter pini s inserted through the aligned holes. After the assembly, the external force P is removed so that the two members are deformed together as an assembled structure (see Figure 4.2). Assume that both members deform linear elastically. The elastic moduli of the members AB and B'C are 200GPa and 70 GPa, respectively. \text { Take } L_{1}=1 m, L_{2}=2 m, L_{3}=1 m, A_{A B}=A_{B^{\prime} c}=150 m m^{2}, \delta_{B B^{\prime}}=2.5 m m_{h} \text { and } d= a) Determine the external force P at D that is required to align the two pins' holes at B andB’ (Figure 4.1). b) Determine the location of the pin at B with respect to A (sp/A) on the assembled structure after removal of external force P (Figure 4.2). c) Find the normal stresses in each segment (i.e., the members AB and B’C) of the assembled structure after removal of external force P (Figure 4.2). d) Determine whether the pin at B fails or not after the removal of the external force P. Take the shear failure stress of the pin is 120 MPa and F.S.=3 (Figure 4.2).