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In Reply to: Thank you Bill ... posted by andyr on October 6, 2014 at 00:22:38:
andyr
Let us call the support 7.5" away as A, 8" away as B and 10" away as C. The triangle ABC is right angled at B and has side AB 15.1", BC 8 and AC 16.9" in length.
From my calculations I find Reaction at A as 4.3 lbs, at B as 2.61 lbs and at C as 1.53 lbs with the total load being 8.44 lbs.
Had to refer back to old textbooks like Timoshenko's Plates and Shells and the two other books he wrote with Young and Goodyear. I had to do some derivation to get the values for the triangular shape. It all turned into a simple equation of the ratio of the distance of the load to the opposite side of the triangle to the distance of the support to the same side. Thus it is a matter of 3 equations. Interestingly the sum of these 3 ratios add up to one in any triangle.
Thanks for the opportunity to exercise the old grey cells with some structural engineering.
Regards
Bill
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Follow Ups
- I have the answer - Bill the K 06:23:31 10/06/14 (4)
- Brilliant, Bill - thank you, thank you! :-)) ... - andyr 13:41:39 10/06/14 (0)
- No you don't have the answer - I do. - mgbpuff 08:28:23 10/06/14 (2)
- Actually - mgbpuff 08:37:12 10/06/14 (1)
- RE: Actually - Bill the K 09:45:03 10/06/14 (0)
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