A two span continuous beam ABC with end $A$ is fixed and $C$ is hinged. The span $AB$ is loaded with uniformly distributed load having intensity of $100k\frac{N}{m}$ and the span BC carries a point load of $150$ kN at middle. The length of span AB and BC are $10$ m and $15$ m respectively. Use stiffness matrix method for analysis assuming uniform flexural rigidity. $($El is constant$)$ Where E$=$ Young's modulus of elasticity, I$=$ moment of inertia.