10 kN 60° 4 kN 4 kN/m A B C E 8 kN 1 m 2 m 1 m 1 m 1m

Figure 3 represents a cantilever beam A, B, C, D, E clamped at point E and carrying various types of loads. A load of 10 kN as shown, is applied on the beam through a vertical lever DF of 1 m length rigidly attached to the beam.

1. Determine and show the directions of all support reactions at point E.

2. Using the left free-end A as the origin of the horizontal coordinate of the sections, establish the equations for shear force (SF) and bending moment (BM) acting in each cross-section of the beam. Equations must be worked out and finalized to their standard forms.

3. Plot the SF and BM diagrams for each cross-section of the beam. Each part of the diagrams must be supported by established SF and BM equations. A deviation from the correct relative layout of the configuration of the beam, SF and BM diagrams will be penalized.