Question

are not to be used to perform any calculus. x10 1. The simple supported beam ABC in Fig.(a) carries a distributed load of maximum intensity w, which includes. the weight of the beam, over its span of length L. Determine the maximum B displacement of the beam. L Equation of the elastic curve is given by the following differential equation R RC (al M-3-4 where M is the bending 12L d'v moment of the beam. It is also given that dr AT modulus of Inertia where E Modulus of the elasticity of the beam and I v is the deflection of the beam. (Hint: at maximum de flection gradient of the curve-0 as shown in the diagram) (10 marks) of pure water. A salt solution containing 0.55 kg per litre is tank holds 500 2 being run into the tank at the rate of 2 litre per minute. The liquid in the tank is continuously stirred and, at the same time, liquid from the tank is being pumped out at the rate of 2 litre per minute. After t minutes, there is m kg of sugar dissolved in the solution. IN

Answer 1

dley (3L2- 42 M= wo (3L2-4x3) 12니 -(두=x) p EI dy + A wo 2 x= Wo A S 6L4 A = A = -wo aL 16

A= -5wo |92 d(Ez) -5woL3 wo 2L 192 3 x+ 3 2L (92 Thus 2x3 5 2 142 L/2 Accrs at l= max wo d-war 12 EI 192E1 wo LY max