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CASE 9. Beam Fixed at One End, Supported at Other—Concentrated Load at Any Point
(max) = Wa x: when x = a = 0.414L At 3b 2 L – b 3 WL 3 (max) = 0.0098 D 2L 3 EI x: when x < a At 3b 2 L – b 3 a) – (L W – 1 3RL 2 x – Rx 3 – a) 2 2L 3 = D x W (L – 3 6EI 3b 2 L – b 3 Wx = M x: when x > a At 2L 3 1 R1(2L 3 – 3L 2 x + x 3 )
At point of load: M At fixed end: (max) = WL M 1 x: when x < a At x: when x > a At M D R V
3b 2 L – b 3 2L 3 3aL 2 – a 3 2L 3 V = R V = R – W
R = W R 1 = W x: when x < a x: when x > a
At At
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