Consider a simply supported beam of length L. The beam experiences a parabolically varying distributed load...

Consider a simply supported beam of length L. The beam experiences a parabolically varying distributed load that varies from 0 at the left support, to a maximum w at midspan, and back to 0 at the right support. The beam has stiffness properties EI. Give a mathematical equation that gives the value of the distributed load intensity at any distance z along the beam in terms of w, L and z. Draw the SFD and BMD of the beam, giving the maximum values in terms of w and L. What is the midspan deflection of the beam in terms of EI and w and L.

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