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Beams

Beams. BEAMS. A structural member loaded in the transverse direction to the longitudinal axis. Internal Forces: Bending Moments and Shear. Stability. Stability. Stability. Stability. Stability. Stability. Stability. Stability. Stability. Stability. Stability. Stability. Stability.

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Beams

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  1. Beams

  2. BEAMS A structural member loaded in the transverse direction to the longitudinal axis. Internal Forces: Bending Moments and Shear

  3. Stability

  4. Stability

  5. Stability

  6. Stability

  7. Stability

  8. Stability

  9. Stability

  10. Stability

  11. Stability

  12. Stability

  13. Stability

  14. Stability

  15. Stability

  16. Stability

  17. Stability

  18. Stability

  19. Stability

  20. Structural Steel - Characteristics Buckling: Instability due to slenderness

  21. Stability

  22. Elastic Buckling

  23. Limit States

  24. Limit States

  25. Limit States

  26. Limit States

  27. Classification of Shapes Non-Compact Section Compact Section Web Local Buckling Flange Local Buckling

  28. Bending Strength of Compact Shapes Lateral Torsional Buckling

  29. Bending Strength of Compact Shapes

  30. Bending Strength of Compact Shapes Laterally Supported Compact Beams

  31. Bending Strength of Compact Shapes

  32. Bending Strength of Compact Shapes Elastic Buckling

  33. L/4 L/4 L/4 L/4 Elastic Buckling Cb = factor to account for non-uniform bending within the unbraced length See AISC table 3-1 p 3.10 Mmax A B C

  34. Elastic Buckling

  35. Elastic Buckling

  36. Elastic Buckling Cb = factor to account for non-uniform bending within the unbraced length Rm= 1 for doubly symmetric cross sections and singly symmetric subject to single curvature See textbook p 190 for other cases

  37. Elastic Buckling Cb = factor to account for non-uniform bending within the unbraced length

  38. Elastic Buckling Cb = factor to account for non-uniform bending within the unbraced length ho = distance between flange centroids = d-tf

  39. Bending Strength of Compact Shapes

  40. Bending Strength of Compact Shapes Inelastic Buckling Linear variation between Mp and Mr

  41. Nominal Flexural Strength – Compact Shapes

  42. Nominal Flexural Strength – NON-Compact Shapes Most W- M- S- and C- shapes are compact A few are NON-compact NONE is slender Webs of ALL hot rolled shapes in the manual are compact FLB and LTB Built-Up welded shapes can have non-compact or slender webs FLB, WLB, LTB (AISC F4 and F5)

  43. Nominal Flexural Strength – NON-Compact Shapes WLB

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