Page 62 - Civil Engineering Formulas

3
a L
+
3a L a) 3 –3ax 2 – 3L 2 x + 6aLx
2 – – (L –3aL 2 + 2L 3 + x 3
WL 3 6EI W = 3EI
CASE 8. Beam Fixed at One End (Cantilever)—Concentrated Load at Any Point
At free end: (max) = D At point of load: D x: when x > a At W = D 6EI

M V
R 1
M (max) = Wb (x = a) M = W L b

At fixed end: x: when x > a At W a D x

R 1 = V (max) = W x: when x > a V = W x: when x < a V = 0 (Continued)

At At FIGURE 2.2

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