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 106
or the depth of the beam. These relationshipsare true for other cases, as will be seen in what follows. The ease with which problems regarding deflection are solveddepends greatly upon the point taken for the origin, as it influencesthe value of the constants of integration. 91. Beam Fixed at One… … Mx= -\w(l-x)2.d2v w dx2=~7EI(-l2~2lx + x2); dv w ax 2EP 6 When x=o, i=o; .. C = o. w 92 STRUCTURAL MECHANICS. When x = o, v = o; .. C= 0. When x = l, (wl)P max. RJ?T For maximum safe deflection consistent with unit stress, /,in the extreme fibre at the dangerous section, Mmax, = - (wl) \l = —; (wl)…
