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Mechanics of engineering. Comprising statics and dynamics of solids: and the mechanics of the materials of constructions, or strength and elasticity of beams, columns, arches, shafts, etc (1888)

Church, Irving P[orter], 1851- [from old catalog] · New York, J. Wiley & sons · leaf 335

An illustration from Mechanics of engineering. Comprising statics and dynamics of solids: and the mechanics of the materials of constructions, or strength and elasticity of beams, columns, arches, shafts, etc, 1888, leaf 335
y2 l. Neglect the weight of the beam. Requiredthe reactions of the three supports. Call them PB, P0 andPc. From symmetry PB = Pc, and the tangent to theelastic curve at 0 is horizontal; and since the supportsare on a level the deflection of C (and B) below Os tangentis zero. The separate elastic… … !T — H \- (fr Fig. 276. with origin and axis as there indicated. From I (momsabout neutral axis of n) = 0 we have (see § 231) EI %=nv*i-x)-?s-x) EI dx p(y2/x- X2 *2 j -Pc(lx— ^)+(C=0) The constant = 0, for at 0 both x, and dy ■*■ cfcc, = 0.Taking the x-anti-derivative of (2) we have Ix2 x\ -r.rlx2…

Mechanics, Applied · Engineering · Strength of materials

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