Radius Of Curvature On A Beam

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SUMMARY

The discussion focuses on calculating the radius of curvature for a simply supported beam subjected to a vertical point load and a uniformly distributed load (UDL). The specific scenario involves a 6m beam with a 45kN point load located 4m from one end and a maximum allowable bending stress of 120MPa. The Young's modulus of the beam material is given as 200GPa. The user seeks guidance on combining these factors to determine the radius of curvature.

PREREQUISITES
  • Understanding of beam mechanics and bending theory
  • Familiarity with Young's modulus and material properties
  • Knowledge of point loads and uniformly distributed loads (UDL)
  • Ability to apply bending stress formulas in structural analysis
NEXT STEPS
  • Research the calculation of radius of curvature in beams using the formula: R = EI / M
  • Study the effects of point loads and UDL on beam deflection
  • Learn about the relationship between bending stress and radius of curvature
  • Explore examples of combined loading scenarios in structural engineering
USEFUL FOR

Structural engineers, civil engineering students, and professionals involved in beam design and analysis will benefit from this discussion.

spggodd
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Hey, hopefully this is a suitable forum to put this in! I've been having a bit of trouble trying to find an example to learn from about finding the raidus of curvature in a simply supported beam.

I've got a point loads and a UDL to take into account and seem to find it near impossible to find any examples where the two are combined.

If it helps the question is as follows:

1. A simply supported beam of length 6m supports a vertical point load of 45kN a distance of 4m from one end. If the maximum allowable bending stress is 120MPa:

*7 previous questions were asked*

If the beam has a young's modulus of 200GPa calculate the radius of curvature.


Any information you might need just ask!

Thanks!

Edit: Read a sticky and you want my own attempt?

Well I would show you what I've done but I am that stuck that i don't have anything!
I'm just trying to get hold of some useful info to get started
 
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Is it supported from both sides?
 
azatkgz said:
Is it supported from both sides?

Hey, thanks for getting back to me.

Yes the beam is supported from both sides.
 

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