2.1. Shear Diagram
• Establish the V and x axes and plot the values of the shear at the two ends of the beam.
• Since the slope of the shear diagram at any point is equal to the intensity of the distributed loading w at the point.(Note that w is positive when it acts upward.)
• If a numerical value of the shear is to be determined at the point,
one can find this value either by using the method of sections as
discussed befor or by using this Eq:

, which states that the change in the shear force is equal to the area under the distributed loading diagram.
• Since w(x) is integrated to obtain V, if w(x) is a curve of degree n, then V(x) will be a curve of degree For example, if w(x) is uniform, V(x) will be linear.