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In: Civil Engineering

A simply supported beam has a width of 200mm and depth of 400mm is 4m long....

A simply supported beam has a width of 200mm and depth of 400mm is 4m long. It carries a uniformly distributed load of 20 kN/m over the whole beam and a point load of 40 kN at the center of the beam. Compute the maximum deflection if the maximum slope produced in the beam is 2× ??-3 radian.   

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Expert Solution

the method is based on principle of superposition (if number of forces are acting simultaneously on a structure then the effect of all the forces on slope and deflection at any point is equal to the algebraic sum of the individual force considered separately).

The maximum slope is occured at support A &B while maximum deflection is at centre of the beam.

The maximum deflection of beam is 2.571 mm.

Ally Wells answered 9 months ago
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