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

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SUMMARY

The discussion focuses on calculating the uniformly distributed load (UDL) of a beam with a 10m span, a cross-section of 200mm by 200mm, and reinforced with five 20mm diameter steel bars. To determine the UDL, the user must calculate the mass using the formula mass = ρV, where ρ is the density and V is the volume of the materials. The user also needs to consider the beam's support conditions, which include a pin at one end and a roller 4m from the other end, and has provided the tensile stress of the concrete at 4.5 MPa. The discussion highlights the importance of knowing the density of the materials to accurately compute the UDL.

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  • Knowledge of material properties, specifically density and tensile strength
  • Familiarity with structural analysis concepts, including shear force and bending moment diagrams
  • Proficiency in using equations related to beam bending and distributed loads
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  • Research methods to determine the density of concrete and steel for accurate calculations
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Civil engineers, structural analysts, and students studying beam mechanics who need to understand how to calculate uniformly distributed loads in reinforced concrete structures.

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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 a lot
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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