. Differential and integral calculus. Hence, dx \EI\ 4/ . V . W /xz Px\ Integrating agam, y = —^ ( - - — )• Since # = o, y == o.; ,*, C = o. When x = - we have 8 = 0 _ .2 £f 260. Shape and de/iection of a beam supported at both ends anduniformly Fig. 72. In this case we have _ ? x wl w, . _ N J/ = #/# • ,3; = — (jt — /.*:). 22 2 v 7 Hence ^^ 7£/ = Tml* --U)\ Mechanical Applications 391 hence dy dx 2 EI (Ft)- / dyWhen x = - i -j- = o 2 tf# C = .1 7£/324^7 Hence 7i If Ix2 P 2 12 dx 2 EI k w { x4 lxs Px ?• y = —wy \ r1 2 -ZSY / 12 6 12 Since # = o, y = o; .-. C = o. / ., 5 wl< = 5

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. Differential and integral calculus. Hence, dx \EI\ 4/ . V . W /xz Px\ Integrating agam, y = —^ ( - - — )• Since # = o, y == o.; ,*, C = o. When x = - we have 8 = 0 _ .2 £f 260. Shape and de/iection of a beam supported at both ends anduniformly Fig. 72. In this case we have _ ? x wl w, . _ N J/ = #/# • ,3; = — (jt — /.*:). 22 2 v 7 Hence ^^ 7£/ = Tml* --U)\ Mechanical Applications 391 hence dy dx 2 EI (Ft)- / dyWhen x = - i -j- = o 2 tf# C = .1 7£/324^7 Hence 7i If Ix2 P 2 12 dx 2 EI k w { x4 lxs Px ?• y = —wy \ r1 2 -ZSY / 12 6 12 Since # = o, y = o; .-. C = o. / ., 5 wl< = 5 ET/3 384^/ 384^/ If # = - , then 2 Cor. Comparing the value of S of § 259 with S of thisarticle, we find 8 = f8, , the deflection produced by a load concentrated at the cen-ter of a beam is f of that produced by the same load whenuniformly distributed. 261. Shape and deflection of a beam fixed at both ends anduniformly loaded.

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Keywords: ., bookcentury1900, bookdecade1910, booksubjectcalculu, bookyear1918