Beam Deflection

[_MechEng95]

Hi there,

I am struggling with working out maximum deflection in a beam.

It has two point loads, at L/4 on each side and a distributed load at L/2.

I know max deflection for a distributed load but I am not sure how I calculate both at the same time.

Do I have to treat this problem as three seperate beams? Calculate for each 'cross section' and add deflections? Really haven't got a clue.

The beam is simply supported with pin and roller boundary constraints.

Ty in advance.

 

[_MechEng95]

The following picture shows the formula I am following for natural frequencies. This doesn't take in to account mass does it?

The values for natural frequencies vary hugely compared to ansys.

 

[KootK]

Mass shows up in your formula as density times volume. The formula appears to assume a uniform mass distribution which may well be appropriate.

I like to debate structural engineering theory -- a lot. If I challenge you on something, know that I'm doing so because I respect your opinion enough to either change it or adopt it.

 

[Ingenuity]

This doesn't take in to account mass does it?

It does in so far as the uniformly distributed self-weight of the beam (the A and ρ terms - section area and density - in the denominator), but does not include added lumped-masses within the span.