How Can I Find the UDL of a Beam with Limited Information?

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To find the uniformly distributed load (UDL) of a beam with a 10m span and a cross-section of 200mm by 200mm, the density and volume of the materials are essential. The mass can be calculated using the formula mass = ρV, where ρ is the density. The beam is reinforced with steel bars, and the bending moment and shear force diagrams may be necessary for further analysis. Without the density, calculating the UDL directly is challenging, but knowing the tensile stress of the concrete can help in understanding its loading capacity. Accurate determination of the UDL requires more specific material properties, particularly density.
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heyy..
i am trying to find a UDL of a beam, with 10m span. It was a cross section of 200mm by 200mm of concrete and reinforced with 5 steel reinforcing bars of 20mm diameter. i have both E's. is there a formula that can be used to find the UDL of a beam.
thanx alot
cheers for ur time
 
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To find the UDL of the beam itself (No external loading) you would need to know the density and volume (which you can calculate) of each material, and use the equation:

mass = \rhoV

Then Force = 9.81m= 9.81\rhoV

This is assuming the beam material is homeogenous, which from what you've said the concrete is reinforced by a steel grid, and you might have to produce a shear force and bending moment diagram. I'm not sure if that's what you were asking?

There is also the beam bending equation,

\sigma/l = M / I = E / R

Which might not be that helpful in this case.

And there are also equations for equivalent force of a UDL in different loading set-ups (such as simply supported/ cantilever)

I'm not entirely sure what you're asking though.
 
thanx for the reply.
my beam is has a pin at the left hand end and a roller 4m in from the right had side. so there's a 4m overhang, and the UDL (w) is over the whole beam. if i have the density, then i would know how to work it out through that, but i don't have the density. all i got is the cross section showing the bars in the concrete, the E's of both materials, and the tensile stress at which the concrete cracks which is 4.5 MPa. that's all the values i have.
so i want to know how to find the UDL(w) using the values i have.

thanx a lot for ur time
cheers champ
 
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