Conceitos Sobre Estabilidade de Taludes

7242019 Conceitos Sobre Estabilidade de Taludes

httpslidepdfcomreaderfullconceitos-sobre-estabilidade-de-taludes 131

Conceitos sobre

Estabilidade de Taludes



Conceitos Baacutesicos



EscorregamentosEscorregamentos

corte no peacute do talude

aterro

bull Alteraccedilatildeo da geometria

bull colocaccedilatildeo de sobrecarga

bull infiltraccedilatildeo de aacutegua

bull desmatamento e poluiccedilatildeo ambiental

α1

α2

α2 gt α1

mudanccedila de inclinaccedilatildeo



Anaacutelise de Estabilidade de Taludes



O Fator de Seguranccedila representa a posiccedilatildeo de um

determinado sistema em relaccedilatildeo as cargas aplicadas a ele

Fator de Seguranccedila



Desenvolvimento do Fator de Seguranccedila de um Taludejaacute proacuteximo da ruptura





circular (Bishop)

planar

Talude ldquoInfinitordquo








β β

cosW N WsenS =

=

β coslzW =

β γ 2cos

cos

lz N

senlzS

=

=

Forccedilas Tensatildeo

β γ σ β τ 2

cos

cos

z

sen z

=

=

1ldivide

β β γ

φ β γ

sen z

zcFS

cos

tancos2

+=

Duncan amp Wright (2005)



β β γ

φ β γ

sen z

zcFS

cos

tancos2

+=

Em termos de tensatildeo efetiva a expressatildeo eacute

β β γ

φ β γ

sen z

u zcFS

cos

tan)cos( 2minus+

=

Em um solo arenoso (sem coesatildeo)

β

φ

tan

tan

=FS



Meacutetodo de Fellenius


sumsum +∆

=α

φ α Wsen

W lcFS

)tancos(

l

W

∆=

α σ

cos

sumsum ∆minus+∆

=α

φ α

Wsen

luW lcFS

)]tan)cos([(

Tensotildees Efetivas



Meacutetodo de Bishop Simplificado

sum

sum

+

∆minus+∆

=

α

φ α α

φ α α

Wsen

FS sen

luW lc

FS )tan(cos

)tan)cos(cos(





Estabilizaccedilatildeo e Reparos



Principais Medidas Mitigadoras

1Drenagem2Abatimento do Talude

3Estruturas de Contenccedilatildeo4Reforccedilo Interno



Rupturas Tiacutepicas em TaludesAcima e Abaixo de Estradas

983107983151983149983151 983137983156983157983137983154 983150983137 983154983141983139983151983150983155983156983154983157983271983267983151983103



Medidas de Remediaccedilatildeo

Modificaccedilatildeo da Geometria do Talude

Drenagem

Estruturas de Contenccedilatildeo

Reforccedilo Interno do Talude

bull Remover material da aacuterea que induz a rupturabull Adicionar material na aacuterea que fornece estabilidadebull Reduzir o acircngulo do talude

bull Drenagem superficialbull Trincheiras preenchidas com material drenantebull Poccedilos verticais auto-drenantes ou com

bombeamentobull Drenos sub-horizontais

bull Muros de gravidadebull Crib-wallbull Gabiatildeobull Estacasbull Aterros reforccediladosbull Redes de contenccedilatildeo

bull Tirantesbull Solo grampeadobull Colunas de solocimento



GeoRio (2000)



Drenagem Superficial



ldquoCrib Wallrdquo



Contenccedilatildeo Drenagem e Proteccedilatildeo Superficial



Muro de Gravidade



Retaludamento com controle deerosatildeo e drenagem

httpwwwterrasolenvironmentcaerosionbioengineeringhtml



Tirantes





HB Fleming

Pranchas Metaacutelicas



Proteccedilatildeo provisoacuteria





Superfiacutecie de Talude com boa manutenccedilatildeo

Superfiacutecie de Talude sem manutenccedilatildeo

httphkssceddgovhkhkssengslope_mainlayman2_1htm



FIM



Conceitos Baacutesicos





aterro





α1

α2

α2 gt α1

















circular (Bishop)

planar









β β

cosW N WsenS =

=

β coslzW =

β γ 2cos

cos

lz N

senlzS

=

=


β γ σ β τ 2

cos

cos

z

sen z

=

=

1ldivide

β β γ

φ β γ

sen z

zcFS

cos

tancos2

+=




β β γ

φ β γ

sen z

zcFS

cos

tancos2

+=


β β γ

φ β γ

sen z

u zcFS

cos

tan)cos( 2minus+

=


β

φ

tan

tan

=FS





sumsum +∆

=α

φ α Wsen

W lcFS

)tancos(

l

W

∆=

α σ

cos

sumsum ∆minus+∆

=α

φ α

Wsen

luW lcFS

)]tan)cos([(





sum

sum

+

∆minus+∆

=

α

φ α α

φ α α

Wsen

FS sen

luW lc

FS )tan(cos

)tan)cos(cos(














983107983151983149983151 983137983156983157983137983154 983150983137 983154983141983139983151983150983155983156983154983157983271983267983151983103





Drenagem










GeoRio (2000)






ldquoCrib Wallrdquo






Muro de Gravidade







Tirantes





HB Fleming














FIM





aterro





α1

α2

α2 gt α1

















circular (Bishop)

planar









β β

cosW N WsenS =

=

β coslzW =

β γ 2cos

cos

lz N

senlzS

=

=


β γ σ β τ 2

cos

cos

z

sen z

=

=

1ldivide

β β γ

φ β γ

sen z

zcFS

cos

tancos2

+=




β β γ

φ β γ

sen z

zcFS

cos

tancos2

+=


β β γ

φ β γ

sen z

u zcFS

cos

tan)cos( 2minus+

=


β

φ

tan

tan

=FS





sumsum +∆

=α

φ α Wsen

W lcFS

)tancos(

l

W

∆=

α σ

cos

sumsum ∆minus+∆

=α

φ α

Wsen

luW lcFS

)]tan)cos([(





sum

sum

+

∆minus+∆

=

α

φ α α

φ α α

Wsen

FS sen

luW lc

FS )tan(cos

)tan)cos(cos(














983107983151983149983151 983137983156983157983137983154 983150983137 983154983141983139983151983150983155983156983154983157983271983267983151983103





Drenagem










GeoRio (2000)






ldquoCrib Wallrdquo






Muro de Gravidade







Tirantes





HB Fleming














FIM
















circular (Bishop)

planar









β β

cosW N WsenS =

=

β coslzW =

β γ 2cos

cos

lz N

senlzS

=

=


β γ σ β τ 2

cos

cos

z

sen z

=

=

1ldivide

β β γ

φ β γ

sen z

zcFS

cos

tancos2

+=




β β γ

φ β γ

sen z

zcFS

cos

tancos2

+=


β β γ

φ β γ

sen z

u zcFS

cos

tan)cos( 2minus+

=


β

φ

tan

tan

=FS





sumsum +∆

=α

φ α Wsen

W lcFS

)tancos(

l

W

∆=

α σ

cos

sumsum ∆minus+∆

=α

φ α

Wsen

luW lcFS

)]tan)cos([(





sum

sum

+

∆minus+∆

=

α

φ α α

φ α α

Wsen

FS sen

luW lc

FS )tan(cos

)tan)cos(cos(














983107983151983149983151 983137983156983157983137983154 983150983137 983154983141983139983151983150983155983156983154983157983271983267983151983103





Drenagem










GeoRio (2000)






ldquoCrib Wallrdquo






Muro de Gravidade







Tirantes





HB Fleming














FIM













circular (Bishop)

planar









β β

cosW N WsenS =

=

β coslzW =

β γ 2cos

cos

lz N

senlzS

=

=


β γ σ β τ 2

cos

cos

z

sen z

=

=

1ldivide

β β γ

φ β γ

sen z

zcFS

cos

tancos2

+=




β β γ

φ β γ

sen z

zcFS

cos

tancos2

+=


β β γ

φ β γ

sen z

u zcFS

cos

tan)cos( 2minus+

=


β

φ

tan

tan

=FS





sumsum +∆

=α

φ α Wsen

W lcFS

)tancos(

l

W

∆=

α σ

cos

sumsum ∆minus+∆

=α

φ α

Wsen

luW lcFS

)]tan)cos([(





sum

sum

+

∆minus+∆

=

α

φ α α

φ α α

Wsen

FS sen

luW lc

FS )tan(cos

)tan)cos(cos(














983107983151983149983151 983137983156983157983137983154 983150983137 983154983141983139983151983150983155983156983154983157983271983267983151983103





Drenagem










GeoRio (2000)






ldquoCrib Wallrdquo






Muro de Gravidade







Tirantes





HB Fleming














FIM








circular (Bishop)

planar









β β

cosW N WsenS =

=

β coslzW =

β γ 2cos

cos

lz N

senlzS

=

=


β γ σ β τ 2

cos

cos

z

sen z

=

=

1ldivide

β β γ

φ β γ

sen z

zcFS

cos

tancos2

+=




β β γ

φ β γ

sen z

zcFS

cos

tancos2

+=


β β γ

φ β γ

sen z

u zcFS

cos

tan)cos( 2minus+

=


β

φ

tan

tan

=FS





sumsum +∆

=α

φ α Wsen

W lcFS

)tancos(

l

W

∆=

α σ

cos

sumsum ∆minus+∆

=α

φ α

Wsen

luW lcFS

)]tan)cos([(





sum

sum

+

∆minus+∆

=

α

φ α α

φ α α

Wsen

FS sen

luW lc

FS )tan(cos

)tan)cos(cos(














983107983151983149983151 983137983156983157983137983154 983150983137 983154983141983139983151983150983155983156983154983157983271983267983151983103





Drenagem










GeoRio (2000)






ldquoCrib Wallrdquo






Muro de Gravidade







Tirantes





HB Fleming














FIM





circular (Bishop)

planar









β β

cosW N WsenS =

=

β coslzW =

β γ 2cos

cos

lz N

senlzS

=

=


β γ σ β τ 2

cos

cos

z

sen z

=

=

1ldivide

β β γ

φ β γ

sen z

zcFS

cos

tancos2

+=




β β γ

φ β γ

sen z

zcFS

cos

tancos2

+=


β β γ

φ β γ

sen z

u zcFS

cos

tan)cos( 2minus+

=


β

φ

tan

tan

=FS





sumsum +∆

=α

φ α Wsen

W lcFS

)tancos(

l

W

∆=

α σ

cos

sumsum ∆minus+∆

=α

φ α

Wsen

luW lcFS

)]tan)cos([(





sum

sum

+

∆minus+∆

=

α

φ α α

φ α α

Wsen

FS sen

luW lc

FS )tan(cos

)tan)cos(cos(














983107983151983149983151 983137983156983157983137983154 983150983137 983154983141983139983151983150983155983156983154983157983271983267983151983103





Drenagem










GeoRio (2000)






ldquoCrib Wallrdquo






Muro de Gravidade







Tirantes





HB Fleming














FIM



circular (Bishop)

planar









β β

cosW N WsenS =

=

β coslzW =

β γ 2cos

cos

lz N

senlzS

=

=


β γ σ β τ 2

cos

cos

z

sen z

=

=

1ldivide

β β γ

φ β γ

sen z

zcFS

cos

tancos2

+=




β β γ

φ β γ

sen z

zcFS

cos

tancos2

+=


β β γ

φ β γ

sen z

u zcFS

cos

tan)cos( 2minus+

=


β

φ

tan

tan

=FS





sumsum +∆

=α

φ α Wsen

W lcFS

)tancos(

l

W

∆=

α σ

cos

sumsum ∆minus+∆

=α

φ α

Wsen

luW lcFS

)]tan)cos([(





sum

sum

+

∆minus+∆

=

α

φ α α

φ α α

Wsen

FS sen

luW lc

FS )tan(cos

)tan)cos(cos(














983107983151983149983151 983137983156983157983137983154 983150983137 983154983141983139983151983150983155983156983154983157983271983267983151983103





Drenagem










GeoRio (2000)






ldquoCrib Wallrdquo






Muro de Gravidade







Tirantes





HB Fleming














FIM








β β

cosW N WsenS =

=

β coslzW =

β γ 2cos

cos

lz N

senlzS

=

=


β γ σ β τ 2

cos

cos

z

sen z

=

=

1ldivide

β β γ

φ β γ

sen z

zcFS

cos

tancos2

+=




β β γ

φ β γ

sen z

zcFS

cos

tancos2

+=


β β γ

φ β γ

sen z

u zcFS

cos

tan)cos( 2minus+

=


β

φ

tan

tan

=FS





sumsum +∆

=α

φ α Wsen

W lcFS

)tancos(

l

W

∆=

α σ

cos

sumsum ∆minus+∆

=α

φ α

Wsen

luW lcFS

)]tan)cos([(





sum

sum

+

∆minus+∆

=

α

φ α α

φ α α

Wsen

FS sen

luW lc

FS )tan(cos

)tan)cos(cos(














983107983151983149983151 983137983156983157983137983154 983150983137 983154983141983139983151983150983155983156983154983157983271983267983151983103





Drenagem










GeoRio (2000)






ldquoCrib Wallrdquo






Muro de Gravidade







Tirantes





HB Fleming














FIM





β β

cosW N WsenS =

=

β coslzW =

β γ 2cos

cos

lz N

senlzS

=

=


β γ σ β τ 2

cos

cos

z

sen z

=

=

1ldivide

β β γ

φ β γ

sen z

zcFS

cos

tancos2

+=




β β γ

φ β γ

sen z

zcFS

cos

tancos2

+=


β β γ

φ β γ

sen z

u zcFS

cos

tan)cos( 2minus+

=


β

φ

tan

tan

=FS





sumsum +∆

=α

φ α Wsen

W lcFS

)tancos(

l

W

∆=

α σ

cos

sumsum ∆minus+∆

=α

φ α

Wsen

luW lcFS

)]tan)cos([(





sum

sum

+

∆minus+∆

=

α

φ α α

φ α α

Wsen

FS sen

luW lc

FS )tan(cos

)tan)cos(cos(














983107983151983149983151 983137983156983157983137983154 983150983137 983154983141983139983151983150983155983156983154983157983271983267983151983103





Drenagem










GeoRio (2000)






ldquoCrib Wallrdquo






Muro de Gravidade







Tirantes





HB Fleming














FIM



β β

cosW N WsenS =

=

β coslzW =

β γ 2cos

cos

lz N

senlzS

=

=


β γ σ β τ 2

cos

cos

z

sen z

=

=

1ldivide

β β γ

φ β γ

sen z

zcFS

cos

tancos2

+=




β β γ

φ β γ

sen z

zcFS

cos

tancos2

+=


β β γ

φ β γ

sen z

u zcFS

cos

tan)cos( 2minus+

=


β

φ

tan

tan

=FS





sumsum +∆

=α

φ α Wsen

W lcFS

)tancos(

l

W

∆=

α σ

cos

sumsum ∆minus+∆

=α

φ α

Wsen

luW lcFS

)]tan)cos([(





sum

sum

+

∆minus+∆

=

α

φ α α

φ α α

Wsen

FS sen

luW lc

FS )tan(cos

)tan)cos(cos(














983107983151983149983151 983137983156983157983137983154 983150983137 983154983141983139983151983150983155983156983154983157983271983267983151983103





Drenagem










GeoRio (2000)






ldquoCrib Wallrdquo






Muro de Gravidade







Tirantes





HB Fleming














FIM



β β γ

φ β γ

sen z

zcFS

cos

tancos2

+=


β β γ

φ β γ

sen z

u zcFS

cos

tan)cos( 2minus+

=


β

φ

tan

tan

=FS





sumsum +∆

=α

φ α Wsen

W lcFS

)tancos(

l

W

∆=

α σ

cos

sumsum ∆minus+∆

=α

φ α

Wsen

luW lcFS

)]tan)cos([(





sum

sum

+

∆minus+∆

=

α

φ α α

φ α α

Wsen

FS sen

luW lc

FS )tan(cos

)tan)cos(cos(














983107983151983149983151 983137983156983157983137983154 983150983137 983154983141983139983151983150983155983156983154983157983271983267983151983103





Drenagem










GeoRio (2000)






ldquoCrib Wallrdquo






Muro de Gravidade







Tirantes





HB Fleming














FIM





sumsum +∆

=α

φ α Wsen

W lcFS

)tancos(

l

W

∆=

α σ

cos

sumsum ∆minus+∆

=α

φ α

Wsen

luW lcFS

)]tan)cos([(





sum

sum

+

∆minus+∆

=

α

φ α α

φ α α

Wsen

FS sen

luW lc

FS )tan(cos

)tan)cos(cos(














983107983151983149983151 983137983156983157983137983154 983150983137 983154983141983139983151983150983155983156983154983157983271983267983151983103





Drenagem










GeoRio (2000)






ldquoCrib Wallrdquo






Muro de Gravidade







Tirantes





HB Fleming














FIM




sum

sum

+

∆minus+∆

=

α

φ α α

φ α α

Wsen

FS sen

luW lc

FS )tan(cos

)tan)cos(cos(














983107983151983149983151 983137983156983157983137983154 983150983137 983154983141983139983151983150983155983156983154983157983271983267983151983103





Drenagem










GeoRio (2000)






ldquoCrib Wallrdquo






Muro de Gravidade







Tirantes





HB Fleming














FIM












983107983151983149983151 983137983156983157983137983154 983150983137 983154983141983139983151983150983155983156983154983157983271983267983151983103





Drenagem










GeoRio (2000)






ldquoCrib Wallrdquo






Muro de Gravidade







Tirantes





HB Fleming














FIM









983107983151983149983151 983137983156983157983137983154 983150983137 983154983141983139983151983150983155983156983154983157983271983267983151983103





Drenagem










GeoRio (2000)






ldquoCrib Wallrdquo






Muro de Gravidade







Tirantes





HB Fleming














FIM




983107983151983149983151 983137983156983157983137983154 983150983137 983154983141983139983151983150983155983156983154983157983271983267983151983103





Drenagem










GeoRio (2000)






ldquoCrib Wallrdquo






Muro de Gravidade







Tirantes





HB Fleming














FIM





Drenagem










GeoRio (2000)






ldquoCrib Wallrdquo






Muro de Gravidade







Tirantes





HB Fleming














FIM



GeoRio (2000)






ldquoCrib Wallrdquo






Muro de Gravidade







Tirantes





HB Fleming














FIM






ldquoCrib Wallrdquo






Muro de Gravidade







Tirantes





HB Fleming














FIM



ldquoCrib Wallrdquo






Muro de Gravidade







Tirantes





HB Fleming














FIM






Muro de Gravidade







Tirantes





HB Fleming














FIM



Muro de Gravidade







Tirantes





HB Fleming














FIM







Tirantes





HB Fleming














FIM



Tirantes





HB Fleming














FIM





HB Fleming














FIM



HB Fleming














FIM













FIM










FIM








FIM



FIM

Documents

Conceitos Sobre Estabilidade de Taludes