The Three-Moment Equation for Continuous-Beam Analysis
(3) Substituting these expressions into equation (1) and re-arranging terms, leads to the three-moment equation. 1 L L EI L M L + 2 L L EI L + L R EI R! M C + L R EI R M R = − 6¯x LA L L LEI L − 6¯x RA R L REI R. (4) Note that if EI L = EI R = EI, the three-moment equation is independent of EI. 1 The three-moment equation was derived by ... ................
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