A simply supported beam is a structure which is fixed at both ends and the load applied to it is distributed over its length. A simply supported beam of 12 m length with two point loads 58 kN and 54 kN at 3 m and 8 m respectively from the left hand end will be considered for finding deflection under each load, maximum deflection, moment of inertia I=190X10^6mm4 and modulus of elasticity E=200 GPa.
The general equation for calculating deflection (δ) at any point on the beam due to a single concentrated force F applied at x distance away from the support can be expressed as follows:
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