Shear Force & Bending Moment Diagram

Shear Force & Bending Moment Diagram

Types of Beam
Cantilever
Simply supported
End supported Cantilever
Rigidly fixed or Built-in
Overhanging
Continuous

Types of support
Simple support (1 R)
Roller support (1 R)
Pinned or hinged (2 R)
Fixed or build in (3 R)

Cross Section of beam
T-bar
L-Angle
Wide-Flange
I-Beam
Channel
HSS

Types of Load
Point Load or Concentrated Load
Point Moment
UDL (Uniformly Distributed Load)
UVL (Uniformly Varying Load)
or Triangular Distributed Load
Trapezoidal Distributed Load
Sign convention for shear force
Sign convention for bending moment

SFD and BMD for cantilever beams
1. Cantilever of length l carrying a concentrated load W at the free end
2. Cantilever of length l carrying a uniformly distributed load of ‘w’ per unit run over the whole length
3. Cantilever of length l carrying a uniformly distributed load of ‘w’ per unit run over the whole length and a concentrated load W at the free end
4. Cantilever of length l carrying a uniformly distributed load of ‘w’ per unit run for a distance ‘a’ from free end
5. Cantilever of length l carrying a load whose intensity varies uniformly from zero at free end to ‘w’ per unit run at the fixed end
6. Cantilever of length l carrying a moment at free end
7. Cantilever of length l carrying uniformly distributed moments ‘m’ per unit run

SFD and BMD for simply supported beams
1. simply supported beam of span l carrying point moment M at both the ends
2. simply supported beam of span l carrying a point moment M at mid of beam
3. simply supported beam of span l carrying a point moment M at 푙/4 of beam
4. simply supported beam of span l carrying uniformly distributed moments ‘m’ per unit run
5. simply supported beam of span l carrying a concentrated load W at mid span
6. simply supported beam carrying a concentrated load W placed eccentrically on the span
7. simply supported beam carrying a uniformly distributed load of ‘w’ per unit run over the whole span
8. simply supported beam carrying a load whose intensity varies uniformly from zero at one end to ‘w’ per unit run at the other end

1. Shear Force Diagram
Bending Moment Diagram
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Class video recording Part 1
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Class video recording Part 4
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