Simple span beam formula

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The maximum deflection in a simple beam under a point load can be calculated using the following equation: Δ = P L3 48EI. P L 3 48 E I. Where: P = the magnitude of the point load in lbs or kips. L = length of the beam (usually in ft) E = Young's Modulus of the material. I = 2nd moment of area of the beam. You start with the basic equation involving the mass and stiffness of the system - the system here is really very basic though. The system can be treated for simplicity sake as a lumped mass at the center of the bridge. The stiffness of the system will be the typical deflection formulas for simple beams.
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