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CIVL3310 STRUCTURAL ANALYSIS

CIVL3310 STRUCTURAL ANALYSIS. Chapter 7: Approximate Analysis of Statically Indeterminate Structures. Professor CC Chang. Approximate Analysis. Preliminary analysis for complex indeterminate structures Involve some assumptions & different answers are possible. Structural Analogy. 12 m.

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CIVL3310 STRUCTURAL ANALYSIS

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  1. CIVL3310 STRUCTURAL ANALYSIS Chapter 7: Approximate Analysis of Statically Indeterminate Structures Professor CC Chang

  2. Approximate Analysis • Preliminary analysis for complex indeterminate structures • Involve some assumptions & different answers are possible

  3. Structural Analogy 12 m 20 kN 20 kN 20 kN 20 kN 20 kN C=T=67.5 kN 6@9 m= 54 m V=30 kN M=810 kN∙m 12 m 20 kN 20 kN 20 kN 20 kN 20 kN Fy=30 kN FBK=37.5 kN 50 kN 50 kN Shear (kN) moment (kN∙m)

  4. Structural Analogy 3 degrees of indeterminacy P1 P2 R2 R1 Stiff diagonal members assume Fa=Fb Weak diagonal members assume Fb=0 (no compression)

  5. Example 7.1 • Determine (approximately) the forces in the members of the truss. The diagonals are designed to support both tensile and compressive forces

  6. Inflection Points Points of zero moment: internal hinges (Deflection shape: zero curvature)

  7. Inflection Points Clamped BC Under UDL

  8. Inflection Points Assumed clamped Location: 0.2L

  9. Inflection Points 0.2L 0.2L L

  10. Frames under Vertical Loads

  11. Frames under Vertical Loads

  12. Example 7.3 Determine (approximately) the moment at the joints E and C.

  13. Frames under Horizontal Loads Inflection point 1 degree indeterminacy hinge

  14. Frames under Horizontal Loads

  15. Frames under Horizontal Loads

  16. Example 7.4 Determine (approximately) the forces acting in the members of the Warren portal.

  17. Frames under Horizontal Loads • Portal method • Inflection points • Shear forces

  18. Frames under Horizontal Loads • Cantilever method • Inflection points • Axial forces

  19. 7. Approximate Analysis • Structural analogy • What are inflection points? • How to analyze frames under vertical loads? • How can inflection points be used to simplify the analysis? • What are portal method and cantilever method?

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