고체역학 (Gere) — Axially Loaded Members: Problem 2.4-13

2.4-13 A tube structure is acted on by loads at \(B\) and \(D\), as shown in the figure. The tubes are joined using two flange plates at \(C\) that are bolted together using six 12.5 mm diameter bolts. (a) Derive formulas for the reactions \(R_A\) and \(R_E\) at the ends of the bar. (b) Determine the axial displacements \(\delta_B\), \(\delta_C\), and \(\delta_D\) at points \(B\), \(C\), and \(D\), respectively. (c) Draw an axial-displacement diagram (ADD) in which the abscissa is the distance \(x\) from support \(A\) to any point on the bar and the ordinate is the horizontal displacement \(\delta\) at that point. (d) Find the maximum value of the load variable \(P\) if allowable normal stress in the bolts is 96 MPa.