Structural Analysis Concepts
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Lecture Number 1 Determinate and Indeterminate
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Structural Analysis Concepts
- 1. STRUCTURAL ANALYSIS Definitions Concepts of Stability of 1 Structures Statically Determinate / 2 Indeterminate Structures Advantages & 3 disadvantages of indeterminate structures 10/14/2011 Tharwat Sakr
- 2. STRUCTURES ■ Definition Structure is defined as an assembly of connected parts (members) used to support loads. Buildings, bridges, tunnels, tanks and chimneys are example g , g , , y p structures commonly encountered in practice. 10/14/2011 Tharwat Sakr
- 3. Civil Structures ■ BUILDINGS 10/14/2011 Tharwat Sakr
- 4. Civil Structures ■ BRIDGES 10/14/2011 Tharwat Sakr
- 5. Civil Structures ■ LARGE HALLS 10/14/2011 Tharwat Sakr
- 6. Civil Structures ■ STADIUMS 10/14/2011 Tharwat Sakr
- 7. Civil Structures ■ WATER STRUCTURES 10/14/2011 Tharwat Sakr
- 8. Support Types ■ Fixed Support pp Rx M Ry 10/14/2011 Tharwat Sakr
- 9. Support Types ■ Hinged Support g pp Rx Ry 10/14/2011 Tharwat Sakr
- 10. Support Types ■ Roller Support pp R R 10/14/2011 Tharwat Sakr
- 11. Statically Determinate / Indeterminate Structures ■ CONDITIONS OF DETERMINATE STRUCTURE Determinate if No. of Equilibrium Equations = No. of unknowns 2D Beams 3 + c r 2D Frames 3j + c r + 3m 2D Trusses 2j r + m 3D Beams 6 + c r 3D F Frames 6j + c r + 6 6m 3D Trusses 3j r + m 10/14/2011 Tharwat Sakr
- 12. Statically Determinate / Indeterminate Structures ■ BEAM STRUCTURE 2D Beams 3 + c > r Unstable 3 + c = r Determinate 3 + c < r Indeterminate 10/14/2011 Tharwat Sakr
- 13. Statically Determinate / Indeterminate Structures ■ FRAME STRUCTURE 2D Frames 3j + c > 3m + r Unstable 3j + c = 3m + r Determinate 3j + c < 3m + r Indeterminate 10/14/2011 Tharwat Sakr
- 14. Statically Determinate / Indeterminate Structures ■ TRUSS STRUCTURE 2D Trusses 2j > m+r Unstable 2j = m+r Determinate 2j < m+r Indeterminate 10/14/2011 Tharwat Sakr
- 15. Statically Determinate / Indeterminate Structures ■ EXAMPLE FRAMES Fra M R J C 3M 3J Class. M R J C 3M 3J Class. me +R +C +R +C A 3 6 4 - 15 12 Indet. 3 B 4 4 5 - 16 15 Indet 1 10/14/2011 Tharwat Sakr
- 16. Statically Determinate / Indeterminate Structures ■ EXAMPLE FRAMES M R J C 3M 3J+ Class. M R J C 3M 3J Class. +R C +R +C D 10 9 9 - 39 27 Indet 12 E 6 3 6 4 21 22 Unst. 10/14/2011 Tharwat Sakr
- 17. Statically Determinate / Indeterminate Structures ■ EXAMPLE FRAMES Fra M R J C 3M 3J Class. Fra M R J C 3M 3J Class. me +R +C me +R +C F 8 6 9 3 30 30 Det. G 7 6 7 - 27 21 Indet. 6 10/14/2011 Tharwat Sakr
- 18. Statically Determinate / Indeterminate Structures ■ TRUSSES M R J M+R 2J Class. M R J M 2J Class. + 25 3 14 28 28 Det. R 33 3 18 36 36 Unst. Unst (Parallel reactons) 10/14/2011 Tharwat Sakr
- 19. Statically Determinate / Indeterminate Structures ■ TRUSSES M R J M 2J Class. M R J M 2J Class. + + R R 27 4 15 31 30 Indeterminate 1 16 3 10 19 20 Unstable 10/14/2011 Tharwat Sakr
- 20. Advantages / Disadvantages of Indeterminate Structures ■ FORCES (ECONOMY) ( ) Determinate Indeterminate 20 10/14/2011 Tharwat Sakr
- 21. Advantages / Disadvantages of Indeterminate Structures ■ DEFLECTIONS Determinate Indeterminate 4 1 10/14/2011 Tharwat Sakr
- 22. Advantages / Disadvantages of Indeterminate Structures ■ REDUNDANCY Determinate Indeterminate 10/14/2011 Tharwat Sakr
- 23. Advantages / Disadvantages of Indeterminate Structures ■ TEMPERATURE EFFECT Determinate Indeterminate 10/14/2011 Tharwat Sakr
- 24. Advantages / Disadvantages of Indeterminate Structures ■ SUPPORT MOVEMENTS Determinate Indeterminate 10/14/2011 Tharwat Sakr
- 25. Problems 10/14/2011 Tharwat Sakr