iven by
a=x0= 0m x1=1m x3=2m b=x3=3m
The equation for the 1d bar bending is given by :
Data : P=20.Pa, T=10000.N/m a=0., b=5. et
The bar is discretized into n=4 points with a constant spacing .
1) Considering the Taylor expansion of and
2) Replacing the approximation in the bending equation, show that we have the following
Discrete approximate problem
where , ,
3) Solve the linear system using both direct Gauss and Gauss-Jordan methods and plot the curve
4) Using numerical integration, compute the approximate