Bent Column End Moments and Pcr

[7075T76511]

Novice question but I have a bent beam with clamped ends for which I'm trying to determine the critical load as well as the end moments Ma and Mb and the peak internal resisting moment.

 

[desertfox]

Hi 7075T76511

It might help if you gave some details like loads, dimension of beams etc, and what is P meant to be.

regards

desertfox

 

[rb1957]

1st off ... beam or column, or beam-column ?

if it's true beam, i don't think the initially deformed shapr affects the moments or stresses (apart form the stresses due to the deformation (i mean it's bent, right, so something bent it ... applied platic deformation, residual stresses, etc).

if it's a column, the solution for a column that isn't straight is well known.

 

[rb1957]

sorry, should have looked at the pic ... the solution for a column with a deformed shape is widely available. the McCombs supplement to Bruhn is only one example.

 

[JSF]

The picture you are showing at the joint C is a flexible joint?? It is unstable and you do not want to design that way. Looks like you have two beams are joined at C. is that what your design is?


JSF

 

[7075T76511]

rb1957:
I have only seen solutions for deformed beams with pinned ends. I am not familiar with that supplement but I will look into it, does it have a solution/derivation for deformed beams of varying end fixities?

JSF:
No I did not mean to depict point C as a pin just a point on the column at which I was interested in determining the internal moment.