question archive A cantilever beam ABC is subjected to a concentrated force P and a linearly distributed load w, as shown in the figure

A cantilever beam ABC is subjected to a concentrated force P and a linearly distributed load w, as shown in the figure

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A cantilever beam ABC is subjected to a concentrated force P and a linearly distributed load w, as shown in the figure. Neglect the weight of the beam. 

P- 12 kN w 6 kN/m 2 m

(a) Draw the free body diagram for the beam showing all the reactions, replacing the support by the reaction forces/moments.

(b) Use the equations of equilibrium to find the reaction forces/moments at A.

(c) Give the expression for the shear force, V-V(x), and the bending moment, M M(x), as a function of the distance, x, measured from point A.

(d) Draw the shear force and the bending moment diagrams; label all the relevant values including maximum and minimum values of the shear force and the bending moment; and give their locations.

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