A beam divided into 2 finite elements is shown in the figure

A beam divided into 2 finite elements is shown in the figure. The beam is fixed at both ends and undergoes static deflection caused by a downward uniformly distributed load of 10kN/m over the left half of the span. The dimensions, elasticity modulus E and moment of inertia I of the beam are shown in the figure. Use the finite element method to determine The deflection at node 2. The deflection at the midpoint of element 1. The support reactions at node 3.

Solution

deflections at node 2 = 0 because no force was acting at that node.

deflections at element 1 = 20