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Lesson 27: AISC Lateral- Torsional Buckling Equations

Lesson 27: AISC Lateral- Torsional Buckling Equations. CE311 Fall 2014. From the Lesson 25 HW. From the Lesson 25 HW. From the Lesson 25 HW. From the Lesson 25 HW. (Zooming in). M p. From the Lesson 25 HW. M p = F y Z x. From the Lesson 25 HW. M p = F y Z x.

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Lesson 27: AISC Lateral- Torsional Buckling Equations

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  1. Lesson 27: AISC Lateral-Torsional Buckling Equations CE311 Fall 2014

  2. From the Lesson 25 HW

  3. From the Lesson 25 HW

  4. From the Lesson 25 HW

  5. From the Lesson 25 HW

  6. (Zooming in) Mp

  7. From the Lesson 25 HW Mp=FyZx

  8. From the Lesson 25 HW Mp=FyZx (a conservative approximation that ignores warp torsion And inelastic behavior)

  9. Now: Considering Warp-Torsion Mp=FyZx This is the strength if you consider Warp-Torsion

  10. Now: Considering Warp-Torsion Mp=FyZx

  11. Now: Considering Warp-Torsion Mp=FyZx

  12. Now: Considering Warp-Torsion Mp=FyZx

  13. Now: Considering Warp-Torsion Mp=FyZx

  14. Considering Warp-Torsion and Inelastic Behavior Mp=FyZx Mr=0.7FySx

  15. AISC – LTB Behavior Mp=FyZx Mr=0.7FySx Lr Lp

  16. AISC – LTB Behavior Mp=FyZx Mr=0.7FySx PLASTIC INELASTIC ELASTIC Lr Lp

  17. Three Ranges:

  18. Three Ranges: Fully Plastic Range • Valid if Lb < Lp • Where:

  19. Three Ranges: Fully Plastic Range • Valid if Lb < Lp • Where: Inelastic Range • Valid if Lb is in-between Lp and Lr

  20. Three Ranges: Fully Plastic Range • Valid if Lb < Lp • Where: Inelastic Range • Valid if Lb is in-between Lp and Lr Elastic Range • Valid if Lb exceeds Lr • Where:

  21. Three Ranges: Fully Plastic Range • Valid if Lb < Lp • Where: Inelastic Range • Valid if Lb is in-between Lp and Lr Elastic Range • Valid if Lb exceeds Lr • Where:

  22. Three Ranges = 3 Mn Equations Fully Plastic Range • Mn =

  23. Three Ranges = 3 Mn Equations Fully Plastic Range • Mn = Mp = FyZ

  24. Three Ranges = 3 Mn Equations Fully Plastic Range • Mn = Mp = FyZ Inelastic Range • Mn = Linear Interpolation Between Mp & Mr • Mr = 0.7FyS

  25. Three Ranges = 3 Mn Equations Fully Plastic Range • Mn = Mp = FyZ Inelastic Range • Mn = Linear Interpolation Between Mp & Mr • Mr = 0.7FyS Elastic Range • Mn = Mcr = FcrS: • Where:

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