# Beam resting on wide supports with a distributed load

1. Oct 2, 2009

### jet1985

1. The problem statement, all variables and given/known data

A beams is 3.0m long, it rests on two wide supports. The support A is 0.5m wide. Support B is unknown. Point A is taken to be the end of the beam on your left.

Support A has a loading intensity of 75 N/m.

The load on the beam acts with a force of 300N, 2.0m from point A.

The question requires working out the width AND loading intensity of support B, such that the "resultant force and couple moment" about point A is Zero.

2. Relevant equations

Unsure!

3. The attempt at a solution

I cannot find any examples that use wide supports on beams, or involve loading intensities on those supports. All examples I have found use pivot points! How do I account for the fact that the beam is resting on wide supports, not pivot points, and how would I go about working out the dimensions for Support B and it's loading intensity?

Can someone please point me in the right path?

2. Oct 2, 2009

### hotvette

Think of the supports as uniformly distributed loads in the opposite direction of the 300N load. The 2 unknowns are the width of the load and intensity at B (the problem doesn't state but you can assume point B is the end of the beam). You are asked to find the width and intensity of the support load at B such that the resultant force is zero and moment about point A is zero. Two equations and two unknowns.