Beam Deflection formula Verification
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Posted by: specdor ®

01/01/2006, 18:12:48

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I was look in the calculator section and found some formulas for a simply supported beam with over hang at each side with an evenly distributed load. I was looking at positioning the supports such that the deflection in the middle (between supports) would be the same as at the overhung ends. The formula for max deflection seems to be giving very low values. The W (load) is total load and not load per unit length. Can someone please give me some help. Thanks

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Re: Beam Deflection formula Verification
Re: Beam Deflection formula Verification -- specdor Post Reply Top of thread Forum
Posted by: Kelly_Bramble ® testing123

01/02/2006, 10:17:51

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The equations are from 27th edition Machinery's and correlated by Roarks's Formulas for Stress and Strain, 7th edition.

There is some information missing from the page as follows:

If l is between 2c and 2.449c, there will be a maximum deflection upward at points sqr[ 3( .25 * l^2 - c^2 )] on both sides of the center, which are, -[W/(96EIL][6c^2 - l^2]^2.

Yes I agree, the calculated deflection seems low. I have not verified that the calculator is calculating right.

The page is on the review list.






Modified by Kelly_Bramble at Mon, Jan 02, 2006, 10:21:42

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Re: Beam Deflection formula Verification
Re: Re: Beam Deflection formula Verification -- Kelly_Bramble Post Reply Top of thread Forum
Posted by: yates ®

01/02/2006, 11:46:47

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For an evenly distributed load on a beam, the two support positions which produce the same deflection at end and in middle is when the two supports are 0.544L apart i.e. when each support is situated at 0.228L from each end. Check it out, it's always true.






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