Page 58 - Handbook of Civil Engineering Calculations, Second Edition

STATICS, STRESS AND STRAIN, AND FLEXURAL ANALYSIS 1.41

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 W AB 2(4) 8 kips (35.6 kN); W BC 2(6) 12 kips (53.3 kN);
W AC 8 12 20 kips (89.0 kN); W CD 3(15) 45 kips (200.1 kN); W DE 1.4(5)
7 kips (31.1 kN).

FIGURE 25