A simply supported beam of length 10m is subjected to 50 KN point load at Centre. Determine the deflection at centre.( Take EI=2 X 10^3 KN.M^2)
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Simply-supported beams have supports under their ends which allow rotation, but not deflection.
Schematic of the deflection of a simply-supported beam.
Center-loaded simple beamsEdit
imply-supported beam with a force in the center
The elastic deflection (at the midpoint C) of a beam, loaded at its center, supported by two simple supports is given by:
[1]
δC=FL348EI
where
F = Force acting on the center of the beam
L = Length of the beam between the supports
E = Modulus of Elasticity
I = Area moment of inertia of cross section
The deflection at any point, x , along the span of a center loaded simply supported beam can be calculated using:
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