Cantilever statically indeterminate beam with point load

[sara291]

hi
please if anyone can tell me how i can get the following equation (attachments) of deflection for statically indeterminate cantilever beam with point load (attachments). I'm not an engineering student and having difficulty in coming up with boundary conditions.
looking for help. thanks

 

[SteamKing]

At the built-in end, the deflection and slope of the beam are both equal to zero. At the propped end, only the deflection is equal to zero.

 

[sara291]

thank you SteamKing. it means at clamped end y(x) & dy/dx = 0 and propped end only dy/dx=o.

 

[SteamKing]

thank you SteamKing. it means at clamped end y(x) & dy/dx = 0 and propped end only dy/dx=o.

You got it half right. At the propped end, the deflection y = 0, not the slope dy/dx, as can be seen by inspection of the figure.

 

[sara291]

i tried these condition to find the deflection equation (eq image in thumbnail) using eq M=EI d^2y/dx^2, by integration method. but when i find the constants of integration by applying these BC and put their values i got zero instead of above equation. please help!

 

[SteamKing]

Can you post your calculations? It might be easier than trying to go through the whole exercise from scratch.

 

[sara291]

thank you SteamKing, and sorry for late reply, part of my calculation is in attachment. i hope you understand my writing...