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M.S MAHAFUZ SHAWON FAKIR
B.Sc. In Civil Engineering
ID. 050 07732
Stamford University Bangladesh
FRAME
CHAPTER: 2
Stability & Determinacy
INTRODUCE DIFFERENT PART OF THE FRAME.
Not Frame
Frame
ï‚´ 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
ï‚´ r=3n
ESSENTIAL FORMULA FOR FRAME.
ï‚´ STABILITY
ï‚´ r < 3n The Frame is Stable.
 r ≥ 3n The Frame is Unstable.
ï‚´ DETERMINACY:
ï‚´r = 3n The Frame is Determinate.
ï‚´r > 3n The Frame is Indeterminate.
ï‚´ If Frame is Indeterminate, then
Degree of Indeterminacy (I) = r-3n
Determine the stability and determinacy condition for the following
structure as shown in the figure.
ï‚´ 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°
Determine the stability and determinacy condition for the following
structure as shown in the figure.
ï‚´ 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°
Determine the stability and determinacy condition for the following
structure as shown in the figure.
ï‚´ 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°
Determine the stability and determinacy condition for the following
structure as shown in the figure.
ï‚´ 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°
Determine the stability and determinacy condition for the following
structure as shown in the figure.
ï‚´ 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°
Determine the stability and determinacy condition for the following
structure as shown in the figure.
ï‚´ 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°
Determine the stability and determinacy condition for the following
structure as shown in the figure.
ï‚´ 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°
Determine the stability and determinacy condition for the following
structure as shown in the figure.
ï‚´ 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°
Determine the stability and determinacy condition for the following
structure as shown in the figure.
ï‚´ 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°
SLAIDE MADE BY MSF
END

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Frame of Struct

  • 1. M.S MAHAFUZ SHAWON FAKIR B.Sc. In Civil Engineering ID. 050 07732 Stamford University Bangladesh
  • 3. INTRODUCE DIFFERENT PART OF THE FRAME. Not Frame Frame ï‚´ Here, Colum n= Total Number of Frame r = Minimum Number of Reactive Components required for External Stability/Determinacy. Beam Reaction ï‚´ One face open ,it’s frame ï‚´ r=3n
  • 4. ESSENTIAL FORMULA FOR FRAME. ï‚´ STABILITY ï‚´ r < 3n The Frame is Stable. ï‚´ r ≥ 3n The Frame is Unstable. ï‚´ DETERMINACY: ï‚´r = 3n The Frame is Determinate. ï‚´r > 3n The Frame is Indeterminate. ï‚´ 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. ï‚´ 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. ï‚´ 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. ï‚´ 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. ï‚´ 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. ï‚´ 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. ï‚´ 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. ï‚´ 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. ï‚´ 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. ï‚´ 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