Posted by: cconley ® 02/07/2006, 15:47:42 Author Profile eMail author Edit

Doe's anyone know how to solve the attached curved beam deflection problem? I'm looking for the stepwise mathematical solution for it so that I can also solve slight variations of the problem. The curved beam (see picture) has a rectangular cross section 'b' X 'h', Young's modulus 'E', and the radius 'R' in the picture is the neutral plane radius. It's from Mechanics of Materials by Beer & Johnstone, first edition, chapter 10 on 'Energy Methods', problem 113. (This is not for school, I am working on a spread sheet application for quick spring clip design for my employer.) If anyone can respond, Thanks! Craig

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Re: Curved Beam Deflection Problem - Need Help!
Re: Curved Beam Deflection Problem - Need Help! -- cconley	Post Reply	Top of thread	Forum

Posted by: dinosaw ® 02/10/2006, 09:15:08 Author Profile eMail author Edit

Try working out the deflection using ansys, its easy to model beams in this package and step by step guides to finding the deflection can be found in books such as Finite Element Analysis: Theory and Application with ANSYS; Saeed Moaveni; ISBN 0-13-111202-3

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Re: Curved Beam Deflection Problem - Need Help!
Re: Curved Beam Deflection Problem - Need Help! -- cconley	Post Reply	Top of thread	Forum

Posted by: zekeman ® 02/09/2006, 11:22:25 Author Profile eMail author Edit

Exact same solution to problem I solved in other forum https://www.eng-tips(dot)com/viewthread.cfm?qid=146402&page=1. Solution: deflection=Pr^3(pi/4-2/pi)/EI pi=3.14159... Good luck. Modified by Administrator at Thu, Feb 09, 2006, 14:11:28

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Re: Curved Beam Deflection Problem - Need Help!
Re: Re: Curved Beam Deflection Problem - Need Help! -- zekeman	Post Reply	Top of thread	Forum

Posted by: zekeman ® 02/10/2006, 17:49:40 Author Profile eMail author Edit

Correction. The problem isn't exactly as the one I mentioned . For this case the y and x deflections utilizig the energy method are: y=PR^3(pi/4)/EI x=PR^3/2EI

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