Answer Happy

This question is from an "Ordinary Differential Equations"
paper.
(a) The following diagram indicates a beam of length 6l with constant cross section cantilevered at one end. The flexural rigidity El of the beam is Nm², where E and I are the Young's Modulus and the Second moment of area of the beam, respectively. 240 2m 6N 3N/m A B 2m * 2m It is required to find the deflection of the above beam. This is a boundary value problem. (i) State the boundary conditions for the above problem. (ii) If x is the distance from A measured along the beam, the deflection y(x) of the beam is given by dy1 „W(x) dxEI where E, / and W(x) are the Young's Modulus, the Second moment of area and the load function, respectively. Use Bracket Notation to obtain an expression for them in terms of x. (iii) Using boundary conditions, obtain a formula for the deflection y(x) for os X 56. (iv) Find y(2). EW dx*