Frame of Struct
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This document discusses the stability and determinacy conditions for frames. It provides the essential formulas: a frame is stable if r < 3n and unstable if r ≥ 3n; a frame is determinate if r = 3n and indeterminate if r > 3n. The degree of indeterminacy I is calculated as r - 3n. Several example frames are then analyzed by calculating n, r, 3n, and determining stability, determinacy, and degree of indeterminacy based on the formulas.
Frame of Struct
- 1. M.S MAHAFUZ SHAWON FAKIR B.Sc. In Civil Engineering ID. 050 07732 Stamford University Bangladesh
- 2. FRAME CHAPTER: 2 Stability & Determinacy
- 3. INTRODUCE DIFFERENT PART OF THE FRAME. Not Frame Frame  Here, Colum n= Total Number of Frame r = Minimum Number of Reactive Components required for External Stability/Determinacy. Beam Reaction  One face open ,it’s frame  r=3n
- 4. ESSENTIAL FORMULA FOR FRAME.  STABILITY  r < 3n The Frame is Stable.  r ≥ 3n The Frame is Unstable.  DETERMINACY: r = 3n The Frame is Determinate. r > 3n The Frame is Indeterminate.  If Frame is Indeterminate, then Degree of Indeterminacy (I) = r-3n
- 5. Determine the stability and determinacy condition for the following structure as shown in the figure.  Here, n = 3 r = 6+3*3 =15 3n= 3*3 = 9 Since, r > 3n The Frame is Stable. Since, r> 3n The Frame is Indeterminate. I = r-3n = 19-14 = 5°
- 6. Determine the stability and determinacy condition for the following structure as shown in the figure.  Here, n = 2 r = 6+1*3 =9 3n= 3*2 = 6 Since, r > 3n The Frame is Stable. Since, r> 3n The Frame is Indeterminate. I = r-3n = 9-6 = 3°
- 7. Determine the stability and determinacy condition for the following structure as shown in the figure.  Here, n = 7 r = 12+7*3 =33 3n= 3*7 = 21 Since, r > 3n The Frame is Stable. Since, r> 3n The Frame is Indeterminate. I = r-3n =33-21 = 12°
- 8. Determine the stability and determinacy condition for the following structure as shown in the figure.  Here, n =3 r = 9+5*3 = 21 3n= 3*3 = 9 Since, r > 3n The Frame is Stable. Since, r> 3n The Frame is Indeterminate. I = r-3n =21-9 = 15°
- 9. Determine the stability and determinacy condition for the following structure as shown in the figure.  Here, n =2 r = 9+3*3 = 18 3n= 3*2 = 6 Since, r > 3n The Frame is Stable. Since, r> 3n The Frame is Indeterminate. I = r-3n =18-6 = 12°
- 10. Determine the stability and determinacy condition for the following structure as shown in the figure.  Here, n =4 r = 6+4*3 = 18 3n= 3*4 = 12 Since, r > 3n The Frame is Stable. Since, r> 3n The Frame is Indeterminate. I = r-3n =18-12 = 6°
- 11. Determine the stability and determinacy condition for the following structure as shown in the figure.  Here, n =8 r = 15+8*3 = 39 3n= 3*8 = 24 Since, r > 3n The Frame is Stable. Since, r> 3n The Frame is Indeterminate. I = r-3n =39-24 = 15°
- 12. Determine the stability and determinacy condition for the following structure as shown in the figure.  Here, n =6 r = 9+6*3 = 27 3n= 3*6 = 18 Since, r > 3n The Frame is Stable. Since, r> 3n The Frame is Indeterminate. I = r-3n =27-18 = 9°
- 13. Determine the stability and determinacy condition for the following structure as shown in the figure.  Here, n =6 r = 9+6*3 = 27 3n= 3*6 = 18 Since, r > 3n The Frame is Stable. Since, r> 3n The Frame is Indeterminate. I = r-3n =27-18 = 9°
- 14. SLAIDE MADE BY MSF END