This preview shows pages 1–3. Sign up to view the full content.
Quiz #3
November 16, 2001
Name ___________________________________________________________
[40 points]
1. A simply supported beam of length L, second moment of area I, Young’s
modulus E and Poisson’s ratio ?, carries a load P at a distance c away from its left end.
Obtain the beam deflection at the point where ‘P’ is applied, that is, at x=c using
Rayleigh Ritz method (only bending stresses and strains are accounted for).
Assume a
deflection curve of v(x)= a
1
x(Lx).
x
P
c
L
This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentQuiz #4
December 14, 2001
Name ___________________________________________________________
[33 points] 1. The vertical deflection ‘y’ measured in feet of a cantilever beam subject to
a uniform load as shown in the figure is modeled by
2
4
2
2
)
18
(
10
x
dx
y
d

=

.
where ‘x is given in feet and the length of the beam is 18 ft.
Solve the problem for the deflection at the free end (x=18 ft) using finite difference
methods using any applicable
second order
approximations and applying the
boundary conditions.
The length of the beam is divided into three equal sections with
This is the end of the preview. Sign up
to
access the rest of the document.
 Fall '09
 Law

Click to edit the document details