1. CIVL3310 STRUCTURAL ANALYSIS
Chapter 4:
Internal Loadings Developed in Structural Members
CIVL3310 STRUCTURAL ANALYSIS
Professor CC Chang

2. Internal loadings at a cross sectionM V N M V
Sign
Convention + - +x +y
Coordinates

3. Example 4.1
Sign
Convention + -

4. Force, Shear and Bending Moment+
M+dM
V+dV V M dx C D VC VD

5. Force, Shear and Bending MomentP
V-P V dx P V
V-P x
Shear force moves toward
negative direction Mo +
M-Mo M dx Mo
M-Mo M x
Moment moves toward
Negative direction

6. Shear Force & Bending Moment Diagram
L/2
+P/2 V
-P/2
+PL/4
curvature +M -M M M
Plotted on
the tensile side
+PL/4
Need to know deflection shape qualitatively

7. Shear Force & Bending Moment Diagram
Structure under loads
Slope of V = load
Shear force diagram
Slope of M = V
Bending moment diagram
Qualitative deflection shape
Bending moment diagram
(plotted on the tensile side)

8. Shear & Moment Diagrams for a Beam
Sign
Convention + -

9. Example 4.8 PL
Moment plotted on the tensile side

10. Examples Chapter 4: Internal Loadings Developed in Structural Members
Structural Analysis 7th Edition
© 2009 Pearson Education South Asia Pte Ltd

11. Example 4.8
Draw shear force and bending moment diagrams

12. Solution 9m

13. Reflection: What Have You Learnt?