Bending of a bar under load: predefined

Here we have IE(x)=1 and you might select c(x) only as the constant 0 or 100
The three load functions are normalized such that their integral over [0,1] is 50.
This allows to study the effect of distribution of the load. Because of the linearity of the ODE and the homogeneous boundary conditions multiplying the load by a factor multiplies the deformation by the same factor.
The case 2 with a discontinuous load has a solution which is only C³, which does violate the assumptions of the convergence theory. In these three cases the exact solution is known.

Select the type of load function:

	p(x) =300*x*(1-x)
	p(x) = 0 if x<=1/2 and p(x)= 100 if x>1/2; nonsmooth
	p(x) = 250*(exp(5x)-1)/(exp(5)-6)

Select the spring constant c please

	c = 0
	c = 100

here you can fix the grid size by selecting the number of interior grid point
n = Important: 2 <= n <= 1000 !

Select the type of boundary conditions:

	y(0)=y'(0)=0, y(1)=y'(1)=0
	y(0)=y'(0)=0, y''(1)=y'''(1)=0
	y''(0)=y'''(0)=0, y''(1)=y'''(1)=0

choose whether to see a printed table of the solution

	no table output
	print table

Click on "evaluate", in order to submit your input.