(Solved): The members of the truss in Figure 4 are assumed to be pin connected. All the members are A992 ste ...

The members of the truss in Figure 4 are assumed to be pin connected. All the members are A992 steel circular rods with a radius of 2 inches and modulus of elasticity, E of \( 29,000 \mathrm{ksi} \). Figure \( 4(1 \mathrm{ft}=12 \) inches \( ) \) a) Determine the maximum load \( \mathbf{P} \) that can be supported by the truss without causing the member BD to buckle. Assume that member BD remains straight until its critical load \( P_{c r} \) is reached. [7 marks] b) If the yield stress of A992 steel is \( 50 \mathrm{ksi} \), check whether the critical load \( \mathrm{P}_{\mathrm{cr}} \) in member BD would cause the member to yield. [3 marks] c) Calculate the vertical deflection at location \( \mathrm{C} \) due to the calculated load \( \mathbf{P} \) applied at locations \( \mathrm{C} \) and \( \mathrm{D} \) as indicated in Figure 4.[15 marks]