Question

problem a
determine the shear and moment as a function of x, and then draw the shear and moment diagrams. (figure 1)
part a
determine the shear as a function of x.
express your answer in terms of x, where x is in meters.

Explanation:

Step1: Analyze the shear force concept

Shear force \(V\) for a cantilever beam with a point load \(P\) at a distance \(x\) from the free - end (where the load is applied) is constant along the length of the beam if there are no other transverse loads between the point of interest and the load application point. Here, the load \(P = 6\space kN\) is applied at the free - end of the vertical cantilever - like structure.

Step2: Determine the shear force expression

Since the shear force is constant throughout the length of the member (because there is no distributed load or other point loads in between), \(V(x)=6\space kN\) for \(0\leq x\leq3\space m\)

Answer:

\(V(x) = 6\space kN\)