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Write a computer program that employs a finite - difference method to approximate the distribution of stresses inside the dam. Data: w 1 = 5
Write a computer program that employs a finitedifference method to approximate the
distribution of stresses inside the dam.
Data:
Let along and but there is tailwater at The figure below is a simplified view of the cross section of a wide concrete dam. The
internal stresses and considered positive as shown in the figure are given by:
and the potential functions is:
where is the density of
The Airy stress function is the solution of the biharmonic equation:
:By introducing the variable Airy equation is solved by solving Poisson's equation
twice in succession, ie with along the edges and,
with along the edges.
Thus,
The boundary conditions are zero normal and tangential stresses along ABC, with
and along and where is the density of water. Along assume as
an approximation that is constant and that at any point is proportional to the height of
concrete above that point.
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