Max Deflection: Concentrated load at the center

Last modified by

on

Jul 24, 2020, 6:28:07 PM

Created by

on

Apr 16, 2014, 9:05:53 AM

Beam Maximum Deflection = \frac{F \cdot L^{3}}{E \cdot I \cdot 48}

$"Beam Maximum Deflection" = ( "F" * "L" ^3)/( "E" * "I" *48)$

Load on Beam

$"Load on Beam"$

Length of Beam between supports

$"Length of Beam between supports"$

Modulus of Elasticity

$"Modulus of Elasticity"$

Moment of Inertia

$"Moment of Inertia"$

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505c09b2-c546-11e3-b7aa-bc764e2038f2

Maximum deflection for a beam supported at its ends can be expressed as:

$δ = \frac{F \cdot L^{3}}{E I 48}$ $delta = (F*L^3) / (E I 48)$

where

δ = maximum deflection (m, mm, in)
E = modulus of elasticity (Pa (N/ $m^{2}$ $m^2$ ), N/ $m m^{2}$ $mm^2$ , psi)
F = load (N, lb)
L = length of beam (m, mm, in)
I = moment of Inertia ( $m^{4}$ $m^4$ , ${mm}^{4}$ $"mm"^4$ , ${in}^{4}$ $"in"^4$ )

This equation computes the maximum deflection at the center when the load is concentrated at the center of the beam.

/attachments/505c09b2-c546-11e3-b7aa-bc764e2038f2/MaxDeflectionConcentratedloadatthecenter-illustration.png

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MaxDeflectionConcentratedloadatthecenter-illustration.png

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