Previous in Forum: Machining Complacent Materials   Next in Forum: PSV Location
Close
Close
Close
3 comments
Rate Comments: Nested
Anonymous Poster

Curved Beams

12/05/2007 3:55 PM

My question involves bending stresses in curved beams. I have the equations for curved beams and understand that the neutral axis shifts towards the center of curvature, and that the bending stresses increase with decreasing curvature radius. I have not found a good reference, however, that explains this phenomenon except through mathematical derivation. If anyone can explain in words why the radius of curvature affects the degree of bending stress in a beam, I would love to hear from you.

Reply
Interested in this topic? By joining CR4 you can "subscribe" to
this discussion and receive notification when new comments are added.

"Almost" Good Answers:

Check out these comments that don't yet have enough votes to be "official" good answers and, if you agree with them, vote them!
Guru

Join Date: Sep 2007
Location: Reno, NV (USA)
Posts: 608
Good Answers: 66
#1

Re: Curved Beams

12/05/2007 5:34 PM

If I understand your question correctly, you're asking why an arch is stronger than a flat beam.

An arch will transmit some of the load to the end supports via compression loading along its length while the straight beam has to support the entire load via bending stress. An arch exists between a flat beam and a column (in terms of how the load is carried). Obviously, the tighter the arch, the more like a column. The flatter the arch, the more like a beam.

Does that answer your question, or did I miss the boat entirely?

Now, if you're asking about pre-stressed curved beams, that's an entirely different chapter.

__________________
Aequam memento rebus in arduis servare mentem.
Reply Score 1 for Good Answer
Guru

Join Date: Jul 2005
Location: Stoke-on-Trent, UK
Posts: 4496
Good Answers: 137
#2

Re: Curved Beams

12/06/2007 6:40 AM

Not quite sure what you're asking, but to keep it simple, the radius of curvature tells you how much a beam is bent. It's an inverse measure, the smaller the radius, the greater the degree of bending. A straight beam has infinite radius of curvature.

If the degree of bending is higher, "naturally" so are the applied forces and stresses in the beam. BTW, I'm not aware of the neutral axis shifting when a beam is bent. I think it stays put, and in the case of pure bending (no direct tension or compression) the tensile and compressive stresses are symmetrical about the neutral axis.

Hope this helps....Codey

__________________
Give masochists a fair crack of the whip
Reply
Anonymous Poster
#3

Re: Curved Beams

12/06/2007 10:21 AM

Thanks for the replies, but not quite what I'm looking for. Have a look at:

www.roymech.co.uk/Useful_Tables/Beams/Curved_beams.html

www.ae.msstate.edu/~masoud/Teaching/SA2/chA13.11_text.html

www.mech.uwa.edu.au/DANotes/MST/thick/thick.html

Thanks

Original Poster

Reply
Reply to Forum Thread 3 comments

"Almost" Good Answers:

Check out these comments that don't yet have enough votes to be "official" good answers and, if you agree with them, vote them!
Copy to Clipboard

Users who posted comments:

Anonymous Poster (1); Codemaster (1); CSM Engineer (1)

Previous in Forum: Machining Complacent Materials   Next in Forum: PSV Location

Advertisement