Asimple supported beam at x0 = 0 and xn = l with a uniform load w and the

vertical deflection v(x) is described by the boundary value problem

d

2

v

dx2

=

x−l

3ei

wx, v(0) = 5, v(l) = 100

where l is the length of the beam, e represents the young’s modulus of the material from which

the beam is fabricated and i is the second moment of area of the beam’s cross–section. suppose

l = 15 m, e = 210 kn/m

2

, i = 370.5 m2

and w = 9.8 kn/m. use the shooting method to

approximate the vertical deflection, v(x) with the step size, h = 3, the first guess, z0 = 10 and

the second guess, z0 = 5.