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Solution of the Simultaneous Equations Resulting from Successive Applications of the Theorem of Three Moments to Continuous Beams

Published online by Cambridge University Press:  28 July 2016

F. J. Turton
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Extract

If A, B, C,… be the successive bending- moments involved, the equations to find them have the following characteristics : The first involves A and B only, the second A, B and C only, the third (if more than three) B, C and D only, and so on for all intermediate equations; finally, the last equation contains only the last two unknowns.

The method to be considered applies more generally, however, when each equation in succession contains only one additional unknown, so that the third may contain A, B, C and D, the fourth A, B,C, D and E, and so on.

Type
Research Article
Information
The Aeronautical Journal , Volume 45 , Issue 368 , August 1941 , pp. 275 - 277
Copyright
Copyright © Royal Aeronautical Society 1941

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