Question: Derive the expression for the shape-efficiency factor (phi_{B}^{e}) for stiffness-limited design for a square box section of wall thickness (t), and height and width (h_{1}=10

Derive the expression for the shape-efficiency factor \(\phi_{B}^{e}\) for stiffness-limited design for a square box section of wall thickness \(t\), and height and width \(h_{1}=10 t\) bent about its major axis (the dash-dot line in Fig. E10.4). Do not assume that the thin-wall approximation is valid.

Data From Fig, E10.4.

h = 10t h = 8t t 10t- FIGURE E10.4

h = 10t h = 8t t 10t- FIGURE E10.4

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