Research Article
Dec 1913
The Theorem of Three Moments
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VIEW THE REPLYPublication: Transactions of the American Society of Civil Engineers
Volume 76, Issue 1
Abstract
The design of continuous beams, plate-girder draw spans, and swing-bridge trusses is based on the values of reactions and bending moments found by the use of a restricted form of the theorem of three moments, neglecting shear deflection. Theoretically, this usual restricted form applies only to beams built to conform accurately to the supports, which are assumed to be perfectly rigid and without possible settlement, and to beams with constant moments of inertia, and straight over the intermediate support. In practice, these conditions are never completely fulfilled. It is desirable, therefore, to determine the approximate value of the error introduced in such common practice. A complete general form of the theorem of three moments will be derived, and its application to a plate-girder draw sp0an with variable moments of inertia will be made, in order to find the percentage of error introduced by the use of the usual formula.
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© 1913 American Society of Civil Engineers.
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Published in print: Dec 1913
Published online: Feb 10, 2021
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J. P. J. Williams, AM.ASCE
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Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.