[cbca] steel framing - engenharia
DESCRIPTION
otima apostilaTRANSCRIPT
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• • • • • • • • • • •
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σ
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≅
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σ
σ σ
λ
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σ
λ
λ λ
= λ
λ
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ψ ≥
λ λ ≤
ψ
λ λ ≤
λ
λ ≤
σ
σ
σ
≥
≤
≤
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σ ρ ρ
σ ρ ρ
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σ
θ
λ ≤
λ
λ
≤
≤
≤ ≤ θ ≤ ≤
θ
≤
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≤
λ ≥
λ
≤
σ σ
σ
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σ
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ρ γ γ
ρ
β α λ λ
α
ααα
λ
σ ρ
σ ρ
λ
λ ≤σ
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π
=
π
=
⎥ ⎦
⎤ ⎢ ⎣
⎡ +
π =
π
=
⎥ ⎥ ⎦
⎤
⎢ ⎢ ⎣
⎡
+ −
− − −
+ =
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λ
λ γ
≤ λ ≤
λ γ
γ
λ
λ σ
λ
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γ γ
σ
σ
σ
σσ
σ
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ρ γ γ
σ ρ
ρ
• λ ≤ ρ
• λ ρ λ
• λ ρ λ
λ
•
•
•
+ + +
=
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γ γ
• λ λ
• λ ≥λ
λ
λ σ
σ
σ
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•
•
•
•
≤
π π
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•
•
•
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γ γ
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γ γ
γ
γ
γ
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γ
γ
γ γ
γ γ
γ γ
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φ
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φ
≥
≥
≤
≥
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σ
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λ
λ ≥ ⇒
λ
≤
≤
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λ
≤
≤
λ
⎟ ⎟ ⎠
⎞ ⎜ ⎜ ⎝
⎛ ≤
⎟ ⎠
⎞ ⎜ ⎝
⎛ ≤
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σ
σ
Ψ
Ψ σ σ
Ψ Ψ
λ
λ
≤
≤
Ψ −
+
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∑
∴
ρ γ γ
σ ρ
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( ) ⎪ ⎭
⎪ ⎬ ⎫
⎪ ⎩
⎪ ⎨ ⎧
⎥ ⎥ ⎦
⎤
⎢ ⎢ ⎣
⎡ +
π
( ) ⎪ ⎭
⎪ ⎬ ⎫
⎪ ⎩
⎪ ⎨ ⎧
⎥ ⎦
⎤ ⎢ ⎣
⎡
× × ×
+ × π
σ
λ ρ λ
λ
= ρ
ρ
λ λ
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λ ≥ ⇒
≤
≤
≤
≤
λ
≤
≤
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σ ( ) −
σ ( ) −
Ψ
σ σ −
Ψ Ψ
⎥ ⎥ ⎦
⎤
⎢ ⎢ ⎣
⎡ ⎟ ⎟ ⎠
⎞ ⎜ ⎜ ⎝
⎛ =
σ
λ
⎥ ⎥ ⎦
⎤
⎢ ⎢ ⎣
⎡ ⎟ ⎠
⎞ ⎜ ⎝
⎛
λ
λ
≤
≤
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∑
∴
σ
σ α α α α
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β
β
β
β
β
β
β β
β
η π
η
⎥ ⎥ ⎦
⎤
⎢ ⎢ ⎣
⎡ ⎟ ⎟ ⎠
⎞ ⎜ ⎜ ⎝
⎛
+ + −
+ =
σ φ
= φ
σ
σ
λ σ
λ
λ λ
γ γ
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ρ γ γ
σ ρ
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•
•
•
•
⎥ ⎥ ⎥ ⎥ ⎥ ⎥
⎦
⎤
⎢ ⎢ ⎢ ⎢ ⎢ ⎢
⎣
⎡
+
⎟ ⎟ ⎠
⎞ ⎜ ⎜ ⎝
⎛ −
− −
⎟ ⎟ ⎠
⎞ ⎜ ⎜ ⎝
⎛ −
+ =
⎥ ⎥ ⎥ ⎥ ⎥ ⎥
⎦
⎤
⎢ ⎢ ⎢ ⎢ ⎢ ⎢
⎣
⎡
+ ⎥ ⎥ ⎦
⎤
⎢ ⎢ ⎣
⎡ ⎟ ⎠
⎞ ⎜ ⎝
⎛ − − × × ×
− −
⎥ ⎥ ⎦
⎤
⎢ ⎢ ⎣
⎡ ⎟ ⎠
⎞ ⎜ ⎝
⎛ − − ×
+ =
⇒
λ ×
λ
α
α
β ( ) [ ] λ λ α + − + ×
β ρ
ρ ( ) [ ] λ β β − +
ρ
ρ σ =
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ψ σ σ
λ
⎟ ⎟ ⎠
⎞ ⎜ ⎜ ⎝
⎛ −
λ ≤
⎟ ⎠
⎞ ⎜ ⎝
⎛ − ≤
λ
λ
λ ⇒
λ
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λ
⎟ ⎠ ⎞
⎜ ⎝ ⎛
≤
≤
λ
λ
⎟ ⎟ ⎠
⎞ ⎜ ⎜ ⎝
⎛ ≤
⎟ ⎠
⎞ ⎜ ⎝
⎛ ≤
![Page 82: [Cbca] steel framing - engenharia](https://reader033.vdocuments.net/reader033/viewer/2022052323/55854378d8b42a5e018b4fc6/html5/thumbnails/82.jpg)
γ ρ
×
ρ
σ ρ
ρ σ =
λ
≤
ψ σ σ
≤
λ
λ
λ ≥ ⇒
λ
λ
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≤
⎟ ⎟ ⎠
⎞ ⎜ ⎜ ⎝
⎛
≤
λ
≤
≤
λ
⎟ ⎟ ⎠
⎞ ⎜ ⎜ ⎝
⎛ ≤
⎟ ⎠
⎞ ⎜ ⎝
⎛ ≤
![Page 84: [Cbca] steel framing - engenharia](https://reader033.vdocuments.net/reader033/viewer/2022052323/55854378d8b42a5e018b4fc6/html5/thumbnails/84.jpg)
λ
λ
λ ≥ ⇒ ⇒
λ
≤
⎟ ⎟ ⎠
⎞ ⎜ ⎜ ⎝
⎛ ⎟ ⎠
⎞ ⎜ ⎝
⎛
≤
λ
≤
≤
λ
≤
≤
⎟ ⎠ ⎞
⎜ ⎝ ⎛
λ
![Page 85: [Cbca] steel framing - engenharia](https://reader033.vdocuments.net/reader033/viewer/2022052323/55854378d8b42a5e018b4fc6/html5/thumbnails/85.jpg)
σ ( ) −
σ ( ) −
Ψ
σ σ
Ψ σ σ
Ψ Ψ
λ
≤
Ψ −
![Page 86: [Cbca] steel framing - engenharia](https://reader033.vdocuments.net/reader033/viewer/2022052323/55854378d8b42a5e018b4fc6/html5/thumbnails/86.jpg)
=
∴
ρ γ γ
σ ρ
σ
![Page 87: [Cbca] steel framing - engenharia](https://reader033.vdocuments.net/reader033/viewer/2022052323/55854378d8b42a5e018b4fc6/html5/thumbnails/87.jpg)
λ
ρ λ
λ
= ρ
ρ
= × = = ρ σ
λ
λ ≥ ⇒
λ
λ
![Page 88: [Cbca] steel framing - engenharia](https://reader033.vdocuments.net/reader033/viewer/2022052323/55854378d8b42a5e018b4fc6/html5/thumbnails/88.jpg)
⎟ ⎠ ⎞
⎜ ⎝ ⎛
≤
⎟ ⎟ ⎠
⎞ ⎜ ⎜ ⎝
⎛
≤
λ
≤
⎟ ⎠
⎞ ⎜ ⎝
⎛ − ≤
λ
⎟ ⎟ ⎠
⎞ ⎜ ⎜ ⎝
⎛ ≤
≤
σ
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σ
Ψ
σ σ
Ψ Ψ
λ
≤
≤
∴
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ρ
( ) π
( ) π
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( ) π
( )
× × × π
ρ γ γ
σ ρ
•
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•
( ) π
( )
× × × π
•
( ) ⎪ ⎭
⎪ ⎬ ⎫
⎪ ⎩
⎪ ⎨ ⎧
⎥ ⎥ ⎦
⎤
⎢ ⎢ ⎣
⎡ +
π
( ) ⎪ ⎭
⎪ ⎬ ⎫
⎪ ⎩
⎪ ⎨ ⎧
⎥ ⎦
⎤ ⎢ ⎣
⎡
× × ×
+ × π
•
⎥ ⎥ ⎥ ⎥ ⎥ ⎥
⎦
⎤
⎢ ⎢ ⎢ ⎢ ⎢ ⎢
⎣
⎡
+
⎟ ⎟ ⎠
⎞ ⎜ ⎜ ⎝
⎛ −
− −
⎟ ⎟ ⎠
⎞ ⎜ ⎜ ⎝
⎛ −
+ =
⎥ ⎥ ⎥ ⎥ ⎥ ⎥
⎦
⎤
⎢ ⎢ ⎢ ⎢ ⎢ ⎢
⎣
⎡
+ ⎥ ⎥ ⎦
⎤
⎢ ⎢ ⎣
⎡ ⎟ ⎠
⎞ ⎜ ⎝
⎛ − − × × ×
− −
⎥ ⎥ ⎦
⎤
⎢ ⎢ ⎣
⎡ ⎟ ⎠
⎞ ⎜ ⎝
⎛ − − ×
+ =
⇒
λ ×
λ
α
α
β ( ) [ ] λ λ α + − + ×
β ρ
ρ ( ) [ ] λ β β − +
ρ
ρ σ =
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ψ σ σ
⎥ ⎥ ⎦
⎤
⎢ ⎢ ⎣
⎡ ⎟ ⎠ ⎞
⎜ ⎝ ⎛
=
σ
λ
⎥ ⎥ ⎦
⎤
⎢ ⎢ ⎣
⎡ ⎟ ⎠
⎞ ⎜ ⎝
⎛
λ
λ ⎥ ⎥ ⎦
⎤
⎢ ⎢ ⎣
⎡ − −
=
≤
⎥ ⎦
⎤ ⎢ ⎣
⎡ × − − ×
= ≤
λ
λ
⎥ ⎥ ⎦
⎤
⎢ ⎢ ⎣
⎡ ⎟ ⎠ ⎞
⎜ ⎝ ⎛
σ
⎥ ⎥ ⎦
⎤
⎢ ⎢ ⎣
⎡ ⎟ ⎠
⎞ ⎜ ⎝
⎛
λ ⇒
λ
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⎟ ⎠ ⎞
⎜ ⎝ ⎛
≤
⎟ ⎟ ⎠
⎞ ⎜ ⎜ ⎝
⎛ ⎟ ⎠
⎞ ⎜ ⎝
⎛
≤
⎥ ⎥ ⎦
⎤
⎢ ⎢ ⎣
⎡ ⎟ ⎠ ⎞
⎜ ⎝ ⎛
=
σ
λ
⎥ ⎥ ⎦
⎤
⎢ ⎢ ⎣
⎡ ⎟ ⎠
⎞ ⎜ ⎝
⎛ ×
λ
⎥ ⎥ ⎦
⎤
⎢ ⎢ ⎣
⎡ ⎟ ⎠ ⎞
⎜ ⎝ ⎛
=
σ
λ
⎥ ⎥ ⎦
⎤
⎢ ⎢ ⎣
⎡ ⎟ ⎠
⎞ ⎜ ⎝
⎛
λ
⎟ ⎟ ⎠
⎞ ⎜ ⎜ ⎝
⎛ ≤
⎟ ⎠
⎞ ⎜ ⎝
⎛ ≤
γ ρ
>
![Page 95: [Cbca] steel framing - engenharia](https://reader033.vdocuments.net/reader033/viewer/2022052323/55854378d8b42a5e018b4fc6/html5/thumbnails/95.jpg)
• •
• •
• • • •
• •
•
•
•
•
•
γ γ
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γ γ
•
•
( ) Σ + − =
≤
![Page 97: [Cbca] steel framing - engenharia](https://reader033.vdocuments.net/reader033/viewer/2022052323/55854378d8b42a5e018b4fc6/html5/thumbnails/97.jpg)
•
•
•
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