Page 50 - Civil Engineering Formulas

+ 27 EIL

+ 3 and a > b (a + 2b)

(a + 2b) 2L (L – x) – b 2 – (L – x) 2 2Lb – b 2 – (L – x) 2

x: when x = a D (max) = Wab (a + 2b) 3a x: when x < a Wbx EIL 6 x: when x > a Wa (L – x) EIL 6

At At = D At = D
CASE 2. Beam Supported Both Ends—Concentrated Load at Any Point

Wab L Wbx M = L b D R 1 M V

At point of load: M (max) = x: when x < a L W a Beam formulas. (From J. Callender, Time-Saver Standards for Architectural Design Data, 6th ed., McGraw-Hill, N.Y.)

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