Structural mechanics; comprising the strength and resistance of materials and elements of structural design (1905)
Greene, Charles E. (Charles Ezra), 1842-1903, Greene, Albert Emerson. [from old catalog] · New York, J. Wiley & sons; [etc., etc.] · leaf 125
, Uniform Load of w per unit over thewhole span, fixed at both ends. Origin at left support. Fig. 51. As in the previous case, the reaction at either end may berepresented by \wl-\-Q. The shear at x is \wl— wx, which ex-pression changes sign at the middle and at either point of support;hence at… … Fig. 51 the negative moment at each point of support. If x = %l, , wl2M at middle=w/2(i-J--TV) = — • Substitute the value of Qb and get w dv dx 2 EI (±x*-ilx2 + ll2x); w (xA lxs l2x2 \ RESTRAINED AND CONTINUOUS BEAMS. Since v = o when x=o, C = o. Whenx = J/, w I I4 I* l4\ (wl)l3 3S4EP in max. (JL…