The fixed end moments are reaction moments developed in a beam member under certain load conditions with both ends fixed. A beam with both ends fixed is statically indeterminate to the 3rd degree, and any structural analysis method applicable on statically indeterminate beams can be used to calculate the fixed end moments.
In the following examples, clockwise moments are positive.
The two cases with distributed loads can be derived from the case with concentrated load by integration. For example, when a uniformly distributed load of intensity q {\displaystyle q} is acting on a beam, then an infinitely small part d x {\displaystyle dx} distance x {\displaystyle x} apart from the left end of this beam can be seen as being under a concentrated load of magnitude q d x {\displaystyle qdx} . Then,
Where the expressions within the integrals on the right hand sides are the fixed end moments caused by the concentrated load q d x {\displaystyle qdx} .
For the case with linearly distributed load of maximum intensity q 0 {\displaystyle q_{0}} ,
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This article needs additional citations for verification. Please help improve this article by adding citations to reliable sources. Unsourced material may be challenged and removed.Find sources: As Time Goes By The Carpenters album – news · newspapers · books · scholar · JSTOR (September 2014) (Learn how and when to remove this template message) 2001 studio album by The CarpentersAs Time Goes ByStudio album by The CarpentersReleasedAugust 1, …
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