Question 2.8.2: Sketch the shearing force and bending moment diagrams for th...
Sketch the shearing force and bending moment diagrams for the beam shown in Fig. 2.8-10, stating the position and magnitude of the maximum bending moment.
Taking moments about A
15R_{B}=5\times 6+12\times 11+6\times 1\times 8 R_{B}=14 kN R_{A}=10 kN
Beginning at the right-hand end of the beam, B, the shear force diagram may now be drawn (Fig. 2.8-10(b)), giving zero shear at C, 2 m from the 12 kN load. The shear immediately to the right of A is – 10 kN, thus providing a check to both the sketch and the calculation above. Maximum bending moment will occur at C where the shear force is zero. Since the change of bending moment between any two points is equal to minus the area of the shear force diagram between them (Section 4.18),
M_{C}=M_{A}-(-5\times 10-\frac{1}{2}(4\times 4) )=58 kNm
