What equations to use on this system to form a matrix $A$ with dimensions $[n,n]$ and load vector $q$ with dimension $[n]$ ? I am trying to get vertical displacement $w$.
$$w = A^{-1}\times q$$
Boundary conditions are as follows: $$w(o) = 0 $$ $$w(L) = 0 $$ $$\phi(o) = 0$$ $$\phi(L) = 0$$ It is becouse in any point of beam I can't make equation: $$d^2y/dx^2*E*I=M=0$$ so I can't get the exact values of displacement. The problem is that everywhere I look for solution it is done on a beam with continous load over entire beam or with at least one joint and I have only half of the beam covered with continous load and no joints.
From $d^4y/dx^4*E*I=q=0$ again I have too many unknown values.
