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A horizontal beam is of uniform material throughout but has a second moment of area of...

A horizontal beam is of uniform material throughout but has a second moment of area of I for the central half of the span L and I/2 for each section in both outer quarters of the span. The beam carries a single central concentrated load P.

(a) Derive a formula for the central deflection of the beam, due to P, when simply supported at each end of the span.

(b) If both ends of the span are encastr´e (i.e. beam is fixed at the ends) determine the magnitude of the fixed end moments.

Engineering   Mechanical-Engineering   
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