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Fixed End Moment Table

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Fixed End Moment Table (v 1.

0)

The values in the table represent the fixed end moment reactions for a fixed-fixed beam
subjected to the loadings shown. All beams have a total length L.
If the moment is negative, reverse the direction of the moment arrow as drawn.

Point Loads
P P
PL PL Pab 2
Pa 2b
8 8 L2 L2
L2 L2 a b

Point Moments
M M
M M Mb Ma
(b − 2a) (2b − a)
4 4 L2 L2
L2 L2 a b

Distributed Loads
w w
wL 2 wL 2 wa 2 wa 3
(6L 2 − 8aL + 3a 2) (4L − 3a)
12 12 12L 2 12L 2
a b

w w
wL 2 wL 2 5wL 2 5wL 2
20 30 96 96
L2 L2

Support Movements

6∆EI
6∆EI ∆ L2 4θEI 2θEI
L2 L θ L

Prof. Jeff Erochko, Carleton University, Ottawa, Canada


Licensed for use under Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported (CC BY-NC-SA 3.0)

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