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Column Theory - Column Strength Curve

Column Theory - Column Strength Curve. Example I. A W12x50 is used as a column to support a compressive load of 145 kips. The length is 20 ft and the ends are pinned. Without regard to LRFD or ASD investigate the stability of the column. For a W12x50. OK – Column is Stable. Example I.

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Column Theory - Column Strength Curve

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  1. Column Theory - Column Strength Curve

  2. Example I A W12x50 is used as a column to support a compressive load of 145 kips. The length is 20 ft and the ends are pinned. Without regard to LRFD or ASD investigate the stability of the column For a W12x50 OK – Column is Stable

  3. Example I A W12x50 is used as a column to support a compressive load of 145 kips. The length is 20 ft the bottom is fixed and the top is free. Without regard to LRFD or ASD investigate the stability of the column For a W12x50 NG – Column is Unstable

  4. AISC Requirements CHAPTER E pp 16.1-32 Nominal Compressive Strength AISC Eqtn E3-1

  5. AISC Requirements LRFD

  6. AISC Requirements ASD

  7. AISC Requirements ASD – Allowable Stress

  8. To compute Fcr – ELASTIC BUCKLING Recall Assumptions

  9. Assumptions • Column is perfectly straight • The load is axial, with no eccentricity • The column is pinned at both ends

  10. To compute Fcr – ELASTIC BUCKLING Accounts for Imperfections

  11. To compute Fcr – INELASTIC BUCKLING

  12. Design Strength

  13. Alternatively Inelastic Buckling

  14. In Summary

  15. Example A W14x74 of A992 steel has a length of 20 feet and pinned ends. Compute the design strength for LRFD and the allowable compressive strength for ASD Slenderness Ratio

  16. Example

  17. Example LRFD ASD

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