Question

The beam shown in Figure P8.37 will be constructed from a standard steel w shape using an allowable bending stress of 24 ksi. Assume PB=5.0 kips, PC 13.0 kips Po 4.0 kips and a 5 ft. (a) Develop a list of five acceptable shapes that could be used for this beam. On this list, include the most economical W10, W12, W14, W16, and W18 shapes. (b) Select the most economical W shape for this beam Ps Pc Po1. Calculate Ay and Ey, the vertical reaction forces at supports A and E, respectively.
2. Determine the maximum bending moment magnitude for the beam. One method to obtain this value is to construct shear-force and bending-moment diagrams on a piece of paper. Determine the maximum bending moment magnitude from your bending-moment diagram.

3. Calculate the minimum required section modulus if the allowable bending stress is 24 ksi

4. Below, fill in the missing portions of the beam shape designations for the most economical W10, W12, W14, W16, and W18 shapes that are acceptable for this case. Also, enter the corresponding section modulus for each case.

5. Choose the most economical W shape for this beam. Select only from the W10, W12, W14, W16, and W18 shapes that were considered in Part 4. If you have more than one choice with the same weight, choose the shorter shape.

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