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Determine the minimum width of a 30ft long cantilever W14 steel I-beam that carries a uniform 300 lb/ft load without exceeding a maximum allowable bending

Determine the minimum width of a 30ft long cantilever W14 steel I-beam that carries a uniform 300 lb/ft load without exceeding a maximum allowable bending stress of 30 ksi. Then, check that the allowable shear strength of 15 ksi is not exceeded. Finally calculate the deflection of the beam at B for the chosen width

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