Asimple supported beam at x0 = 0 and xn = l with a uniform load w and the
vertical deflec...
Engineering, 17.11.2019 01:31 neariah24
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.
Answers: 2
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