(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Using method of integration, determine the elastic curve for the beam and calculate the total deflection at a point A (end) of the beam. Use EI as a constant.

See word document attached with diagram.

2. Relevant equations

EIV''(x) = - M(x)

3. The attempt at a solution

I know how to integrate to get the deflection formula but I'm not sure how to calculate M(x) with the moment at the free end.

Is it M(x) = -w/2(L-x)^2 + M(a)(x/L)

or M(x) = -w/2(L-x)^2 + M(a)

Why do some problems in my textbook (Mechanics of materials, Gere) include the support reactions in M(x) and others don't? Do I need to include the support the reactions?

Also will my answer be in meters e.g. v = 100m/EI ?

Any help is much appreciated.

Thanks.

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# Homework Help: Elastic curve of cantilever beam

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