How to get stresses in a beam with known deflection

[ladil123]

Hello!

I have a elastically bedded beam that is subjected to a pointload on the top of the beam.
I have managed to solve for the deflection in the beam.

Can I use this deflection to get the stress somehow?

Thanks

 

[stewartcs]

Hello!

I have a elastically bedded beam that is subjected to a pointload on the top of the beam.
I have managed to solve for the deflection in the beam.

Can I use this deflection to get the stress somehow?

Thanks

Yes. What are the boundary conditions?

Take a look here for the equations to use:

http://www.efunda.com/formulae/solid_mechanics/beams/theory.cfm

CS

 

[ladil123]

My beam is positioned on a elastic material that gives the "elastic bedded" part to the problem, My boundary conditions are that the beam doesn't have any moment at the outer lengths of the beam and no shear forces there as well.

Should I determine the shear force or bending moment at some point with my formula for the deflection to get the stress contribution ?

 

[stewartcs]

My beam is positioned on a elastic material that gives the "elastic bedded" part to the problem, My boundary conditions are that the beam doesn't have any moment at the outer lengths of the beam and no shear forces there as well.

Should I determine the shear force or bending moment at some point with my formula for the deflection to get the stress contribution ?

Is it a finite-length beam?

It gets rather involed so it may be best to take a look at "Roark's Formula's for Stress and Strain" as they have a whole section on beams on elastic foundations.

CS

 

[ladil123]

Its really this problem I wanted to solve:
https://www.physicsforums.com/showthread.php?t=293368

But I have "simplified" the problem to a beam that is on a elastic bed with a point load as said before.
As seen in the problem in the link above that's a cross section of a ring mounted on a shaft. So what I really want is the torsional stress in the lower part of the ring.
http://www.roarksformulas.com/ didnt work for the moment, but I´ll try to check it out later.