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CE 203 Structural Mechanics

CE 203 Structural Mechanics. Bending moment & Shearing force diagrams Lecture 23-24. What is a beam. Members that are loaded in a direction perpendicular to their longitudinal axis Length is more significant than lengths in cross-section

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CE 203 Structural Mechanics

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  1. CE 203 Structural Mechanics Bending moment & Shearing force diagrams Lecture 23-24

  2. What is a beam Members that are loaded in a direction perpendicular to their longitudinal axis Length is more significant than lengths in cross-section We could have: Simply supported, Cantilevered, Overhanging or Continuous beams

  3. Find the internal forces at C.

  4. Make section at C & Indicate internal forces

  5. Sign Convention

  6. Draw shear & bending moment diagrams

  7. Draw shear & bending moment diagrams

  8. Load-shear-moment relations dV/dx = -w(x) dM/dx = V(x)

  9. Notes No load constant shear & linear moment variation Uniform load linear shear & quadratic moment variation

  10. Notes Concentrated load causes jump in shear Concentrated moment causes jump in moment

  11. 40 kips 1 kip/ ft 2 kip/ ft 15 ft 15 ft 5 ft 5 ft 10 ft 5 ft Draw shear force and bending moment diagrams

  12. 40 kips 1 kip/ ft 2 kip/ ft 15 ft 15 ft 5 ft 5 ft 10 ft 5 ft 27.5 kips 37.5 kips Reactions

  13. 40 kips 1 kip/ ft 2 kip/ ft 15 ft 15 ft 5 ft 5 ft 10 ft 5 ft 27.5 kips 37.5 kips 12.5 k 10 k -15 k -27.5 k

  14. 37.5 k.ft 12.5 k 10 k -50 k.ft -15 k -150 k.ft -100 k.ft -27.5 k SFD BMD

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