1. What is the lightest I-Beam from Hibbeler's tables that will support the beam loading based on the shear and moment diagrams as shown? We would like to use steel with an allowable bending stress of 185 MPa and an allowable shear stress is 360 MPa. $I = \frac{mc}{I}$ $I = \frac{s}{c} = \frac{m}{\sigma}$ $\boxed{S = \frac{M_{max}}{\sigma_{allow}}}$ $S = \frac{92.4 \text{ kN} \cdot \text{m} \cdot (1000 \frac{N}{kN}) (1000 \frac{mm}{m})}{185 \text{ MPa}} \approx 499.46 \cdot 10^3$
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First, we need to determine the maximum bending moment and shear force in the beam. We can do this by analyzing the given shear and moment diagrams. Show more…
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