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2. A beam with a uniform flexural rigidity, EI, is loaded by a triangular distributed load,...

2. A beam with a uniform flexural rigidity, EI, is loaded by a triangular distributed load, Pz(x), as shown below: a) Find th

2. A beam with a uniform flexural rigidity, EI, is loaded by a triangular distributed load, Pz(x), as shown below: a) Find the deflection w(x) (10pts) b) Sketch the shear force V(x) and the beading moment M(x) along the length of the beam, labeling all significant points. (5pts) c) Calculate the maximum bending stress, Omax, and indicate where it occurs. (5pts) z, W Cross Section - 1/3 — * - 2/3 —
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Given that : 7 BRBI YA RBY 21.13 for equilibrium: styao, Ray+R By = -1 2 Pox L 0 taking moment about support B. EMB=0 RAY = Pol a lot then1 By triangle property: u L (一) 中国 shear force (Vc) = -2 13 Bending moment (MI) = 12 Pore xxx 2x At xao, Mazo | 15,, : xer(吉162 again consider a section o-o from left at a distance. Kyo (25 Visca pox xe + Body --->® At x= 7 3 3 -2 Pol+ PL 36 vx.= IP① Now, maximum bending moment at the section of zero hear put x = -1 Moe - Ž BY (+){ t + Polo (-5) 16.37 = Pok? ( - 4690 + TrMX Mx = -1 / 4 x Por xxxtx + Pol (x - 72 ) - Box + Porta cent) .: CE a d y = Me = +Pox 3 + Pot (2-2/4) integrating warto.x. -tu x - 2x3 IL-4)3 300 + 9x2 0= -PLS PL GX 4X 5L sx 2 = Pol 120 Gx2 = POLY POL 843 2.7x2x3 POLY 120 - Bus - 120 648 24 120 L

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