1. Module 1 : Shear and Moment Diagrams for a Beam Dr Yan Zhuge CIV E3011 Structural Analysis

3. Bending moment and shear force diagram 5m 15kN 5m 5kN/m 80kNm V ( kN ) M ( kNm ) 5m 15kN 5m 5kN/m 80kNm V ( kN ) M ( kNm ) 5.75 kN -9.25 kN -34.25 kN 80 kNm 108.75 kNm

4. Beam sign convention The positive directions require the distributed load to act downward on the beam; the internal shear force to cause a clockwise rotation of the beam segment on which it acts; and the internal moment to cause compression in the top fibre of the segment.

7. Example 1 - beams 4m A C x 8m B 1kN/m 12kNm 8m 3m A C x 2m B 18kNm 3m 2m . . . 8kN 8kN D E