Essentials in the theory of framed structures . Fig. 136. w. 3^ Mixdx i&oET WP M2xdx = „ „,i8o£/ A = h + cik - h) = (20c — I2C^) (7 — 30C^ + 20c + 15c* — I2cO WP 180EI (7c - loc^ + 3c0 The value of c for A^ax- may be found by equating h and h,whence 15c* - 30c2 = -7c = ^max X = WP 180EI ?^ £/ The intensity of the load in Fig. 137 increases uniformlyfrom each support to the center of the span. The total load is Sec. II DEFLECTION OF BEAMS 225 W lb., and the length of the beam is I in. The bending momentat any distance x between the end and center is The bending moment at any
Essentials in the theory of framed structures . Fig. 136. w. 3^ Mixdx i&oET WP M2xdx = „ „,i8o£/ A = h + cik - h) = (20c — I2C^) (7 — 30C^ + 20c + 15c* — I2cO WP 180EI (7c - loc^ + 3c0 The value of c for A^ax- may be found by equating h and h,whence 15c* - 30c2 = -7c = ^max X = WP 180EI ?^ £/ The intensity of the load in Fig. 137 increases uniformlyfrom each support to the center of the span. The total load is Sec. II DEFLECTION OF BEAMS 225 W lb., and the length of the beam is I in. The bending momentat any distance x between the end and center is The bending moment at any distance x, when x is greaterthan y^l is. W Fig. 137. M2 = ^(-/ + gPx - I2lx + 4^) 6t Mixdx = J^{ioc^ - 8cs) Eljo i_ (i-c)l Mixdx + -^ I MixdxEI., Wl^ /2s 21 3 _L 3 -(-^ — i5c^ + lor + lor 6o£/\ 8 A = ti + c{h - ti) = 8c* 480IE (25c — 40c + i6c*) 226 THEORY OF FRAMED STRUCTURES Chap. V in which c may have any value between o and H. The valueof c for dkmax- may be found by equating h and h whence, IOC 4 ISC 8 Ic = - 2 ^maz Wl?_toEI 146. Deflection for Several Concentrated Loads.—A 80-lb. I-beam supports three loads (Fig. 138). The linear 10000^ 5000^ 1000 <i--io--A
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Keywords: ., bookcentury1900, bookdecade1920, booksubjectstructu, bookyear1922
