For the beam loaded as shown below, write the finite element matrix equation, i.e., [K]{x} = {F}. Then solve this equation either by hand or use a computer and determine reactions and maximum bending stress. Use as few elements as possible without losing accuracy. The material is steel and c is the vertical dimension of the beam section.
80 kN
12 kN
A
10m c = 0.25m
4m
c = 0.5m