Question

1. The beam below is supported by rollers on the left side and is fixed on the right side. There is a linear distributed load along the length of the beam shown in figure (a) and the deflection of the beam is given and shown in figure (b). The figures are not drawn to scale. (x = L. y = 0) (x = 0, y = 0) (a) Length, L = 600 (cm) Youngs Modulus, E = 50,000 (KM) Area Moment of Inertia, I = 30,000 (cm) Distributed Load, wo = 50 (mm) Beam Deflection, y(x) = 120L 1 - 2% + 2L?z3 – L^x] (cm) (a) Find the position along the beam at which the displacement is equal to 0.5 mm using a method of your choice*. (b) Find the position along the beam at which the displacement is max- imum using a method of your choice* (c) Validate the results from part (a) and part (b) using the fzero() func- tion in MATLAB *The fyero() function is excluded from 'method of your choice'. I encourage you to use a method from lecture.

Answer 1

Solection - T oyo) (xago) (b) riven L-600 (cm) Goungs modulus = ka sojovo (tuh ) I= 300000 (cant) Distributed cloud, wo=50 (Hohen) 4(*) = wo (-4°4213313_1] .com] (a) at [1=0.5mm T220.05cm] 4 (0.05) = Joxlo x - (0.05)² + 2x600)? 3 120x50, VO X10,000 X 600 -600) kloof) 120 RIL Anst y = - 2.999999 --3 cm Arigatiny valen of displacement Displacement is maximum at (6) Tag zo dyrene som C-244212242_3] 1208IL = 0

by above calculation a=0.519 L This is position where the position is oxirnar. By making the small programm noggrann in in matcan puting all value of givendata. The pq Aa) and parco) is validatida e) By manier ou of givenatido