Calculating maximum shear in a steel beam cantilever

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1. Nov 25, 2014

KV-1

Problem:

I do not know how to approach this problem. For a beam which has two reactions, the shear stress is equivalent to the reaction.

I suppose that the stress is calculated using moment some how. But how?

For seeing if the beam is allowable stress design compliant, you can use the maximum shear load of steel, which is 14,000lb/in^2

2. Nov 26, 2014

_N3WTON_

maybe try using these equations: $V = \frac{dM}{dx}$ and $\frac{d^{2}M}{dx^{2}} = - w$ Where V is the shear, M is the moment, and w is the intensity of the load...

3. Nov 26, 2014

_N3WTON_

So I think you'll need to do something like this, find the resultant of the distributed load and where it acts (at the centroid of the beam), calculate the reaction forces, and then break the beam into sections to find the shear and bending moment...

4. Nov 26, 2014

SteamKing

Staff Emeritus
It's a cantilevered beam. There is only one point on the beam which needs to be checked for shear and bending moment.

In any event, the first order of business is to solve for the reactions which keep the free body of this beam in equilibrium.