Question

 Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Label all significant points on each diagram and identify the maximum moments along with their respective locations. For all answers entered, use the sign convention for shear forces and bending moments.

 (a) Find the location x and the corresponding bending moment M at the one point between A and B at which the shear force equals zero.

 (b) Consider the entire beam and determine the maximum positive bending moment.

 (c)Consider the entire beam and determine the negative bending moment with the largest absolute value. Use the bending moment sign convention, so enter a negative value.

 Additionally:

 (d) Determine V and M in the beam at a point located 0.75 m to the right of B.

 (e) Determine V and M in the beam at a point located 1.25 m to the left of C.

 Let a = 2.6 m, b = 3.5 m, w = 35 kN/m, P = 70 kN and Q = 61 kN and M = 122 kN·m. Construct the shear-force and bending-moment diagrams on paper and use the results to answer the questions.

Answer 1