Determine the value of the shape-efficiency factor (phi_{B}^{f}) for strength-limited design in bending using the dimensions shown

Question:

Determine the value of the shape-efficiency factor \(\phi_{B}^{f}\) for strength-limited design in bending using the dimensions shown on the diagrams

a. For the tube-section shown in Fig. E10.5(A)

b. For the box section shown in Fig. E10.5(B) 

c. For the channel section shown in Fig. E10.5(C).

The expression for \(\phi_{B}^{f}\) for the first two sections can be read from Table 10.3. You will have to derive the expression for the third.

Data From Fig, E10.5 (A) (B) (C)

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Data From TABLE 10.3

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