The elements of the mechanics of materials and of power transmission (1911)
King, William Richard, 1852- · New York, J. Wiley & sons; [etc., etc.] · leaf 89
elastic curve is horizontal at the middle of the beam, therefore dydx o when x = For X 1 we have ~ 48 ~T6^ Then Pj-dy _ wLx- dx 4wLx^ Then EIy = y =y = WX^ wx^ 2 wU 24 wU 24 wDx + c. 12 24 24 o when x = o, consequently C = o. w 24 EI (2 Lx^ — x^ — Ux), The deflection is a maximum at the middle of… … Fig. 69. For any section of the beam w M = --{L- xf,2 Then £7?-^ = dx^ > dx dydx o when x = o, consequently C = o. Then Then EI^^ = -^Uoc-Lx^ + ^\dx 2\ 3 / ^\ 2 3 12/ y = o when x = o, consequently C = o. 3; =- {6L^x-4Lx + x). 24. EIThe deflection is a maximum when x = L, therefore wL^ WU…
Mechanics, Applied · Power transmission
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