Cantilever Deflection: Equation for Uniform Load

Thread starter Quickdry135
Start date Jul 8, 2008
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Cantilever Deflection

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The equation for the deflection of a cantilever beam with a uniformly distributed load applied to only a portion of the beam differs from the full beam load equation. For a uniformly distributed load over a length 'a' from the fixed end, the deflection can be calculated using a modified version of the standard equation. The general formula involves parameters such as the load intensity 'w', the length of the beam 'L', the modulus of elasticity 'E', and the moment of inertia 'I'. Reference to the Euler-Bernoulli beam theory provides additional context for understanding beam deflection mechanics. Accurate calculations are essential for structural integrity in engineering applications.

Jul 8, 2008

Quickdry135

It's been a while since I've studied mechanics. Would someone remind me as to the equation for the deflection of a cantilever beam with a uniformly distributed load on only a part of the beam? I remember the equation for a load on the entire beam is (wL^4)/(8EI)

thanks.

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Jul 8, 2008

Defennder

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http://en.wikipedia.org/wiki/Euler-Bernoulli_beam_equation

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