Handbook of Civil Engineering Calculations

SHEAR AND BENDING MOMENT IN A BEAM

Construct the shear and bending-moment diagrams for the beam in Fig. 25. Indicate the
value of the shear and bending moment at all significant sections.

Calculation Procedure:

1. Replace the distributed load on each interval with its equivalent
   concentrated load
   Where the load is uniformly distributed, this equivalent load acts at the center of the
   interval of the beam. Thus WAB = 2(4) = 8 kips (35.6 kN); WBC = 2(6) = 12 kips (53.3 kN);
   WAC = 8 + 12 = 20 kips (89.0 kN); WCD = 3(15) = 45 kips (200.1 kN); WDE = 1.4(5) =
   7 kips (31. IkN).

FIGURE 25

Moment

diagram

Shear

diagram

Force

diagram