8.40The beam shown in Fig. P8.40 will be constructed from astandard steel W-shape using an allowable bending stress of 165MPa. (a) Develop a list of four acceptable shapes that could be used forthis beam. Include the most economical W310, W360, W410,and W460 shapes on the list of possibilities. (b) Select the most economical W shape for this beam. Fig. P8.40Solution Maximum moment magnitude: The maximum bending moment magnitude occurs at the base of the cantilever beam:
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Second moment of area, maximum bending moment, mm3, allowable bending stress