Examen Kani
Transcript of Examen Kani
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A
C
B
D
W=0.9 Ton/m
W=0.95 Ton/m
7 m
3.5 m
3.5 m
Ejemplo 1
0.30m
0.30m
COLUMNA
0.20m
0.40m
VIGA
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Paso ! Ca"#$"o %& 'n&(#'a
I= (b*h3)/12
Inercia de la viga
I= (b*h3)/12
I=(0.3*0.33)/12=0.00068m
Inercia de la col!mna
I= (b*h3)/12
I=(0.2*0.3)/12=0.0010"m
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Paso 2! C)"#$"os %& "as ('*'%&s
#=I/$
+'*'%&, %& "a -'*a
#=I/$
#=0.00068m/3.%0m=0.0001&m3
+'*'%&, %& "a #o"$mna
#=I/$
#=0.0010"m/3.%m=0.00031m3
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Paso 3! Ca"#$"o %& a#o( %& *'(o
'=(1/2)(#/#)
a#o( %& *'(o &n &" No%o A
'ab= 1/2(0.0001&/(0.0001&0.000306))= 0.1&
'ac= 1/2(0.000306/(0.0001&0.000306))= 0.306
'a= (0.1&(0.306)= 0.%
a#o( %& *'(o &n &" No%o #
'ca= 1/2(0.000306/(0.0003060.0001&0.000306))=0.1&0
'cd= 1/2(0.0001&/(0.0003060.0001&0.000306))=0.120
'ce= 1/2(0.000306/(0.0003060.0001&0.000306))=0.1&0
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+a,o - alc!lo del momeno de emporamieno pereco
ab=4$2/12
ab= (0.&5on/m)("m)2/12=3.68onm
W=0.9 Ton/m
7 m
cd=4$2/12
cd= (0.&%5on/m)("m)2/12=3.88onm
W=0.95 Ton/m
7 m
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( 0 . 1
&
0.306
3.68
( 0 . 1
2 0
0.1&0
3.88
0.1&0
1.126
0.%230
0.%23
0."1
0.330
+7IE7 I5E7I9
3.680= 3.68(3.68)(0.1&)=0."1(3.68)(0.306)=1.126
(3.88)(0.126)=2."%(2."%)(0.1&0)=0.%23(2."%)(0.120)=0.330
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( 0 . 1
&
0.306
3.68
( 0 . 1
2 0
0.1&0
3.88
0.1&0
1.1260.&66
0.%%0.%230
0.%230.%%
0."10.612
0.3300.3%0
:E;
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( 0 . 1
&
0.306
3.68
( 0 . 1
2 0
0.1&0
3.88
0.1&0
1.1260.&660.&%"
0.%%%0.%%0.%230
0.%230.%%0.%%%
0."10.6120.606
0.3300.3%00.3%1
5E7E7I5E7I9
3.680.%%= 3.126(3.126)(0.1&)=0.606(3.126)(0.306)=0.&%"
(3.88)(0.&%")=2.&23(2.&23)(0.1&0)=0.%%%(2.&23)(0.120)=0.3%1
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( 0 . 1
&
0.306
3.68
( 0 . 1
2 0
0.1&0
3.88
0.&0
1.1260.&660.&%"0.&%60.%%6
0.%%%0.%%0.%230
0.%230.%%0.%%%
0.%%6
0."10.6120.606
0.606
0.3300.3%00.3%10.3%1
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( 0 . 1
&
0.306
3.68
( 0 . 1
2 0
0.1&0
3.88
0.1&0
1.1260.&660.&%"0.&%60.&%6
0.%%60.%%60.%%%0.%%0.%230
0.%230.%%0.%%%
0.%%60.%%6
0."10.6120.606
0.6060.606
0.3300.3%00.3%10.3%10.3%1
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( 0 . 1
&
0.306
3.68
( 0 . 1
2 0
0.1&0
3.88
0.1&0
1.1260.&660.&%"0.&%60.&%6
0.%%60.%%60.%%%0.%%0.%230
0.%230.%%0.%%%
0.%%60.%%6
0."10.6120.606
0.6060.606
0.3300.3%00.3%10.3%10.3%1
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A
C
B
D
7 m
3.5 m
3.5 m
2.68 ab=1/84$2ab=(1/8)*(0.&0)*(")2
ab=%.%15onm(%.%15onm)(2.685onm)=3.05onm
3.05onm
cd=1/84$2
cd=(1/8)*(0.&%)*(")2
cd=%.815onm(%.815onm)(3.1"85onm)=2.635onm2.635onm
+a,o 6! D'a*(ama %&mom&no
2.68
2.068
1.112
0.%%6
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A
C
7 m
3.5 m
3.5 m
2.68
1.112
0.%%6
A=$/2
Aab=(0.&on/m)*("m)/2=3.1%5on
Acd=(0.&%on/m)*("m)/2=3.335on
iagrama de corane en col!mna
B=0 2.682.068(A1*3.%)=0 A1=(2.682.068)/3.%=1.2&
5on
B=0 1.1120.%%6(A2*3.%)=0 A2=(1.1120.%%6)/3.%=0.%%6 5on
3.1%5on
3.335o
n A 1 = 1 . 2
&
5 o n
A 2 =
0 . %
% 6
5 o n
+a,o "- D'a*(ama %& #o(an&
B
D