- #1
the white sou
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Homework Statement
"for a cantilever beam with a concentrated load in the middle of the span, prove that
the slope is WL2/8EI, and the deflection is 10WL3/96EI"
Homework Equations
the length of the span is L, the concentrated load is acting in the middle at L/2
The Attempt at a Solution
I used the double integration method
and I took M as Wl/2
EI y''= - Mx
so EI y''= - wl/2
EI y'= -wlx/2 +c1
EI y= -wlx2/4 +c1x+ c2
since y'=0, x=l
then c1= wx2/2
and since y''=0, x=l
then c2= -wx3/4 +wx2/2
then don't know what to do
thank you in advance