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Chapter 5

Chapter 5. Introduction to Axially Loaded Compression Members. Compression Members. Chords of Trusses. Columns. Bracing Members. Columns are straight vertical members whose lengths are considerably greater than their thicknesses. Residual Stresses.

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Chapter 5

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  1. Chapter 5 Introduction to Axially Loaded Compression Members

  2. Compression Members Chords of Trusses Columns Bracing Members Columns are straight vertical members whose lengths are considerably greater than their thicknesses

  3. Residual Stresses The stresses that remain in a material after the original cause of the stresses, such as external forces, heat gradient, has been removed. • Caused by : • Uneven cooling of hot rolled sections • Uneven cooling welded materials • Cambering • Affect strength • Could be 10 to 15 ksi or more Structural Steel Design by McCormac and Csernak, 5th Edition, Int. 2012

  4. Structural Steel Design by McCormac and Csernak, 5th Edition, Int. 2012

  5. Column Failure Modes Local Buckling Torsional Buckling Flexural Buckling (Euler buckling)

  6. Length, L Material, E Euler Buckling depends on Cross section, A or I or r End support condition

  7. Columns are Long and slender members subjected to an axial compressive force. • Buckling is Lateral deflection of columns • Buckling result in instability of columns, and causes sudden failure. • Buckling occurs when load P > Pcr the critical load

  8. Column with Pin Support (Ideal) Ideal column : perfectly straight before loading Linear-Elastic Homogeneous material P is applied thru c.g. The flexural differential equation

  9. Buckling Load of an elastic column is calculated using Euler Formula Dividing both sides by cross sectional area A And since the radius of gyration Euler Buckling Stress is the defined as Structural Steel Design by McCormac and Csernak, 5th Edition, Int. 2012

  10. Column Strength Curve

  11. Structural Steel Design by McCormac and Csernak, 5th Edition, Int. 2012

  12. End restraint and Effective Lengths of Columns K is the Effective Length Factor KL is the Effective Length of Column Structural Steel Design by McCormac and Csernak, 5th Edition, Int. 2012

  13. Structural Steel Design by McCormac and Csernak, 5th Edition, Int. 2012

  14. Structural Steel Design by McCormac and Csernak, 5th Edition, Int. 2012

  15. For short columns , the failure stress will equal the yield stress. For intermediate columns , the member will fail by both yielding and buckling. The strength of long columns is predicted by Euler formula (elastic buckling control) Structural Steel Design by McCormac and Csernak, 5th Edition, Int. 2012

  16. Structural Steel Design by McCormac and Csernak, 5th Edition, Int. 2012

  17. AISCM 14th Edition

  18. AISCM 14th Edition

  19. AISCM 14th Edition

  20. AISCM 14th Edition

  21. AISCM 14th Edition

  22. Stiffened Elements Unstiffened Elements Structural Steel Design by McCormac and Csernak, 5th Edition, Int. 2012

  23. Control of Local Buckling Limiting values for the width thickness ratio AISCS section B4 and Table B4.1a of AISCS Structural Steel Design by McCormac and Csernak, 5th Edition, Int. 2012

  24. Structural Steel Design by McCormac and Csernak, 5th Edition, Int. 2012

  25. Structural Steel Design by McCormac and Csernak, 5th Edition, Int. 2012

  26. Structural Steel Design by McCormac and Csernak, 5th Edition, Int. 2012

  27. Structural Steel Design by McCormac and Csernak, 5th Edition, Int. 2012

  28. Structural Steel Design by McCormac and Csernak, 5th Edition, Int. 2012

  29. Structural Steel Design by McCormac and Csernak, 5th Edition, Int. 2012

  30. Structural Steel Design by McCormac and Csernak, 5th Edition, Int. 2012

  31. Structural Steel Design by McCormac and Csernak, 5th Edition, Int. 2012

  32. Structural Steel Design by McCormac and Csernak, 5th Edition, Int. 2012

  33. Structural Steel Design by McCormac and Csernak, 5th Edition, Int. 2012

  34. Structural Steel Design by McCormac and Csernak, 5th Edition, Int. 2012

  35. Structural Steel Design by McCormac and Csernak, 5th Edition, Int. 2012

  36. Structural Steel Design by McCormac and Csernak, 5th Edition, Int. 2012

  37. Structural Steel Design by McCormac and Csernak, 5th Edition, Int. 2012

  38. Structural Steel Design by McCormac and Csernak, 5th Edition, Int. 2012

  39. HW # 4 : Problems 5-3 and 5-8 Structural Steel Design by McCormac and Csernak, 5th Edition, Int. 2012

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