Problem $3$:

s

A cantilever beam with a span of $4m$ carrying a uniform loading of $10k\frac{N}{m}.$ calculate the

following:

$1-$ The support reactions and unknown displacements at the beam's end.

$2-$ The displacement function using the double integration method $($analytical solution$).$

$3-$ The displacement function using the $2-$noded beam element.

$4-$ The displacement function using the developed $3-$noded beam element.

$5-$ Plot the three displacement functions above and comment on their accuracy.

solve every thing in datails