Page 49 - Civil Engineering Formulas

CASE 2. Beam Supported Both Ends—Concentrated Load at Any Point
At point of load: + 3 and a > b (a + 2b) x: when x = a At Wab + 27 EIL (a + 2b) D (max) = Wab (a + 2b) 3a M (max) = L x: when x < a At Wbx x: when x < a 2L (L – x) – b 2 – (L – x) 2 = D EIL 6 Wbx M = L x: when x > a At Wa (L – x) 2Lb – b 2 – (L –

At
R x

V (max) = R when a < b and R 1 when a > b

Wb L Wa L Wb L
R = R 1 = x: At V =

21 FIGURE 2.2