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Moment Distribution: One Series As Be Case, A

1) A beam that is continuous over multiple supports will generally have bending moments along its entire length due to any applied loading. 2) The moment diagram for a continuous beam is a combination of the moment curve due to loads on a single span treated as a simple beam, and the moment diagram due to the moments at the supports. 3) The method of moment distribution can be used to analyze continuous frames with members that are straight or curved and with constant or varying cross-sections, subjected to vertical or transverse loads, support settlements, or distortions from temperature changes. It involves calculating moments under artificial restraint conditions, then redistributing unbalanced moments proportionally when the restraints are removed.

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15 views1 page

Moment Distribution: One Series As Be Case, A

1) A beam that is continuous over multiple supports will generally have bending moments along its entire length due to any applied loading. 2) The moment diagram for a continuous beam is a combination of the moment curve due to loads on a single span treated as a simple beam, and the moment diagram due to the moments at the supports. 3) The method of moment distribution can be used to analyze continuous frames with members that are straight or curved and with constant or varying cross-sections, subjected to vertical or transverse loads, support settlements, or distortions from temperature changes. It involves calculating moments under artificial restraint conditions, then redistributing unbalanced moments proportionally when the restraints are removed.

Uploaded by

jos
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© © All Rights Reserved
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CHAPTER IV

MOMENT DISTRIBUTION
The Effect of Continuity on Bending Moments. A beam continuous
over any number of supports will in general have bending moment
throughout its entire length due to any loading. If only one span of a
series such as BC in Fig. 1 is loaded, reactions either positive or negative
will be produced, except in a very special case, at all supports. The
moment diagram is a combination of the curve of moments due to the

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Fig. 1. Moment Diagram — Continuous Beam.

loads on the single span treated as a simple beam and the diagram due
to the moments at the supports. . It may be sketched directly on a
horizontal base line as in (6), or as the combination of the simple beam
curve mpn and that due to continuity abcde as in (c). The simple-
beam moment curve depends only upon the loads. The moments due
to continuity depend also on the angular rotation at the supports and
therefore upon the relative elastic properties of the beams.
Moment Distribution a Physical Conception. The general method of
moment distribution now to be presented is applicable to all problems
in the analysis of continuous frames with members straight or curved,
with constant or varying section, due to vertical or transverse loading,
to settlement of supports, or distortions resulting from temperature
changes.
The method in general involves the calculation of moments at the
ends of all beams in a frame under certain artificial conditions of re
straint, then a redistribution of unbalanced moments by arithmetical
proportion when the artificial restraints are removed.
81

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