Homework 2, problem 1
Solve for the approximate deflection of a simplysupported prestressed cable
with uniform static distributed load using the Galerkin method.
Take as the
trial function
N
1
(
x
) =
x
3
(
x

L
)
3
, and set the test function to coincide with
the trial function,
η
1
=
N
1
.
(a) Compare the midpoint deflection computed
analytically and approximately. (b) Compute and plot the balance residual. (c)
Compute the reactions at the pins from the approximate solution.
Homework 2, problem 2
Solve for the approximate deflection of a simplysupported prestressed cable
with uniform static distributed load using the Galerkin method. Model just one
half of the problem using a symmetry plane. Take as the trial function
N
1
(
x
) =
2
x/L
(
x
= 0 is the location of the pin support at the lefthand side end of the
cable), and set the test function to coincide with the trial function,
η
1
=
N
1
.
(a) Compare the midpoint deflection computed analytically and approximately.
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 Spring '08
 staff
 Numerical Analysis, static distributed load, simplysupported prestressed cable

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