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Dr. Mohammed Abdulhussain Radi
2. Axial Force, shear Force and Bending Moment Diagrams:
Sign convention: N: Axial Force (tension +ve, compression – ve). V: Shear Force (turning structure clockwise +ve, counterclockwise – ve). M: Bending Moment (compression outside of structure and tension inside +ve, otherwise – ve). Positive (+) Negative (-) There are three interior forces are generated when any beam element was cutting:
Dr. Mohammed Abdulhussain Radi Notes:
- Axial, shear and bending moment diagrams are usually started from the left side.
- The value of the interior force (axial, shear or moment) at any location is equal to the cumulative area under the corresponding force diagram from (x = 0) to the considered location.
- Any concentrated load (force or moment) causes a jump in the corresponding diagram. Shear and Bending moment diagram for a simply supported beam with a concentrated load at mid-span.
Dr. Mohammed Abdulhussain Radi ∑Fy = 0 VBc + 4 – 4 × 2 = 0 V = 12 kN ∑MC = 0 MC + 4 × 4 × 2 – 4 × 4 = 0 MC = - 16 = 16 kN.m
Dr. Mohammed Abdulhussain Radi
Dr. Mohammed Abdulhussain Radi
