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COLUMNA
COLUMNA
••
Las columnas son elementos utilizados para resistir
Las columnas son elementos utilizados para resistir
básicamente solicitaciones de compresión axial aunque,
básicamente solicitaciones de compresión axial aunque,
por lo general, ésta actúa
por lo general, ésta actúa en combinaciones con corte,
en combinaciones con corte,
flexión o torsión ya que
flexión o torsión ya que en las estructuras de concreto
en las estructuras de concreto
armado, la continuidad del sistema genera momentos
armado, la continuidad del sistema genera momentos
flectores en todos sus elementos.
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••
La esbeltez de una columna se expresa en términos de su
La esbeltez de una columna se expresa en términos de su
relación de esbeltez
relación de esbeltez
Mientras mayor sea la relación de
Mientras mayor sea la relación de esbeltez de un miembro,
esbeltez de un miembro,
RELACIÓN DE ESBELTEZ
RELACIÓN DE ESBELTEZ
La relación de esbeltez mide la
La relación de esbeltez mide la tendencia de una columna a
tendencia de una columna a
pandearse. Mientras mayor sea la relación de esbeltez de
pandearse. Mientras mayor sea la relación de esbeltez de
un miembro, menor será la
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¿COLUMNA CORTA?
¿COLUMNA CORTA?
La columna corta se produce debido a una
La columna corta se produce debido a una
modifcación accidental en la confguración
modifcación accidental en la confguración
estructural original de una columna.
estructural original de una columna. Se pres
Se presenta
enta
cuando en una estructura sometida a uerzas o
cuando en una estructura sometida a uerzas o
solicitaciones horizontales, la luz libre de la columna
solicitaciones horizontales, la luz libre de la columna
—distancia libre vertical entr
—distancia libre vertical entre vigas o
e vigas o losas que son
losas que son
soportadas por la columna— se ve disminuida por un
soportadas por la columna— se ve disminuida por un
elemento, generalmente no estructural, que limita la
elemento, generalmente no estructural, que limita la
capacidad de la
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"asi en toda su totalidad las
"asi en toda su totalidad las estructuras de columnas cortas
estructuras de columnas cortas
son de alturas menores en comparación a los elementos
son de alturas menores en comparación a los elementos
estructurales verticales que las
estructurales verticales que las componen.
componen.
#na ma$or rigidez lateral de una columna implica ma$or
#na ma$or rigidez lateral de una columna implica ma$or
resistencia a la deormación, por tanto mientras ma$or es
resistencia a la deormación, por tanto mientras ma$or es
la rigidez, ma$or será la
la rigidez, ma$or será la uerza necesaria para deormarla.
uerza necesaria para deormarla.
Si una columna corta no
Si una columna corta no está dise%ada adecuadamente
está dise%ada adecuadamente
para resistir esta uerza, va a surir da%o
para resistir esta uerza, va a surir da%o durante el evento
durante el evento
tel&rico. ' este comportamiento se le ha llamado
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(alla )!pica por cortante de las columnas cortas.
(alla )!pica por cortante de las columnas cortas.
Las columnas cortas son los
Las columnas cortas son los elementos que más da%o in*igen a
elementos que más da%o in*igen a
la construcción. +l
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DISEÑO DE COLUMNAS CORTAS SOMETIDAS A CARGA AXIAL Y
DISEÑO DE COLUMNAS CORTAS SOMETIDAS A CARGA AXIAL Y
FLEXIÓN
FLEXIÓN
"arga aial, causa alla del concreto por
"arga aial, causa alla del concreto por
aplastamiento con todas las varillas alcanzando
aplastamiento con todas las varillas alcanzando
su *uencia en compresión.
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omento grande con carga aial menor, la alla
omento grande con carga aial menor, la alla
inicia por *uencia de las varillas
inicia por *uencia de las varillas a tensión.
a tensión.
/+"#+/0' 1#+ 2
/+"#+/0' 1#+ 2
+n una columna corta la resistencia depende solo de
+n una columna corta la resistencia depende solo de la resistencia de los materiales
la resistencia de los materiales
$ de la geometr!a de la sección transversal.
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COLUMNAS DE HORMIGON ARMADO
COLUMNAS DE HORMIGON ARMADO
TIPOS DE ARMADURAS TIPOS DE ARMADURAS
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COLUMNAS DE HORMIGON ARMADO
COLUMNAS DE HORMIGON ARMADO
COMPRESION AXIAL PURA
COMPRESION AXIAL PURA
0onde2 0onde2 Ag
Ag2 área bruta de2 área bruta de
( (
Ag
Ag
Ast
Ast
))
f fyy
Ast
Ast
cc
f
f
Ast
Ast
fy
fy
Ac
Ac
cc
f
f
Pn
Pn
=
=
0
0
,,
85
85
×
×
``
×
×
+
+
×
×
=
=
0
0
,,
85
85
×
×
``
×
×
−
−
+
+
×
×
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¿COLUMNA ESBELTA?
¿COLUMNA ESBELTA?
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COLUMNAS ESBELTAS SOMETIDAS A FLEXO- COMPRESION
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Carga crítica de pade! ! carga de E"#er
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+S 6+"+S'/35 S'9+/::.
+S 6+"+S'/35 S'9+/::.
"onorme la esbeltez disminu$e el esuerzo de pandeo incrementa
"onorme la esbeltez disminu$e el esuerzo de pandeo incrementa
4uesto que la columna no puede soportar un esuerzo superior a su resistencia,
4uesto que la columna no puede soportar un esuerzo superior a su resistencia,
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La epresión
La epresión
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