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BEAM FORMULAS 41
W = wL
W w
kL
L L
–k(l – k) 2 WL k 2 (l – k)WL
WL WL
–
12 12
1
k(l – k)WL WL
8
L
2
(a) (b)
1 1 1
W W L 3 W L 3 W L 3 W L
kL 2 2 kL 4 4 4 4
L L
1 1 5
– k(l – k)WL k(l – k)WL L c 48 WL
2 2 5
– WL
48
1 kWL 1 WL 1 WL 1 WL
2 8 6 8
kL kL
(c) (d)
FIGURE 2.6 Fixed-end moments for a prismatic beam. (a) For a concentrated load.
(b) For a uniform load. (c) For two equal concentrated loads. (d) For three equal
concentrated loads.
