Bending of the simply supported beam

Hello @dokken. Hope you are doing well. As per the last instruction I have added respective boundary condition for my beam problem. Even after corresponding bcs applied, while visualising it is not showing any displacement on y direction. Could you help me in confirming whether my implementation is correct or not?

Also one more question. Could you please provide some information on applying point load to a non linear problem like the above. As i am unable to locate how to proceed for such a case. Everytime I am getting converged to same topic, How to construct a sparse matrix used for calculating function values at multiple points. Could you please help for my case of problem to apply a point load.

Thanks for your time and considerations. Any advice on the above queries is greatly appreciated.

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