4ta practica suelos

7172019 4ta practica suelos

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P - 3 Se ha proyectado construir un muro de contencioacuten con las dimensiones mostradVeriique la estabilidad al uelco y al desliamiento onsidrese el $ngulo de riccioacuten

3

03 0+(

+++03

+

arena tonm3

32 1

P

0(

0(

0+ 03 h0 0( (

30+

4567S m2) 8uera ton) 957 m)

lt 00 0( 2 ltlt (( 30+2 22 2ltltlt ( 2 3000 2+ ltV 032+ 2 022( 0 0V 03 2 33(2 +2+ +Vlt 0+++ 03( 0++ 0

P 303( 30+ 2542

50

Ph 9108 (3=omento de olteo 16

h gt8tan) 3

FS volteo = 298

ϕ

ensidadtonm3)

==to

Suma de ueras erticales gt8Sumatoria de momentos resistentes gt=r

ltV

Vlt



FS desliz 144



s en la fgura 02con el muro 23 de amp ( puntos)

C 1

Da 03(Pa (00Ph 0P 303+Dp 32+Pp 3(3

2333Pa1

Ph

+333+2

(0

622

971

6AB-m)

lt

ltltltltlt

V





=EnF 002 0 m0022

G m

20+ 0 m 0+

0+ G 2 m02 a 0 G

0( G m0+ a 0 G

4567S m2) 8uerlt 0+0( 2 22ltlt 22 2 (+ltltlt 0+ 2 2ltV 0+ 0V 222 33+2Vlt +( 2 3

P 0057

Ph 15

=omento de olteoh gt80+ 2(

ensidadtonm3)

Suma de ueras erticales gt8

Sumatoria de momentos resistentes gt=r

32

(

+



FS volteo = 3926

FS desliz 1859

emostracioacuten de que la resultante cae en

e 0302 m H 9(

2I=JK 〖 IJ L0_ 〗)J )



cr 2 tonm3 tonm3

3 1Da 023Dp 3+3Pa +3Pp 32 22(

9eta

02 a 0 G0+ G 2 m

ton) 957 m)3( 300 +

2 ++0 0(2 00 2203( +0 (0(2 33 232 2 33

0019

161001

80 2((41013

ϕ

==6ABton-m)



l tercio central de la base

0 m Cumple







Mna apata de +N3 m se cimienta a 2 m baOo la supericie de un terreno Beraghi onsiderando un 8S 3 determine la capacidad admisible de car



+ tonm39 + mQ 3 m + m

30 18s 3d 0+dq

Sin actores de orma

2+2Aq 2(

Δqs = 122 203qadm 4064 0

ϕ

A

renoso con amp 321 y 0 ton m3 alcular la capacidad de carga de acuerdo aa puntos)





( DAm3c 20 DAm2

20 1

oela Rn DAm) Cn se

7rea ( 223 (0 0((02 ((3 (2 033 00++ (0( 3+ 0+3+ 030 32 2 03++ + 22 0+(( 2333 332 -2 -003

8s 202

ϕ

7rea

JK 〖∆10383891103925) )JK ( 〖907317 )_

)( 〗〗 )JK 〖907317 _ 〗 )





Cn cosCn TQn m)

2+0 0+ 2 2++( 22+ 0((30(0( 2( 323 (+2+0(3( 0+20 330 220( 3023+(+ 033+02( 33 (203+ (2+

3(+ 0(3 2+ 303 30(3(2 0302 20 -+2(2+20 30(+(

Suma (3 2(+3 +0+

RnsenCn RncosCn





euta 3 $5 putos

acuerdo a Beraghi y considerando alla local

9 e Us sat W c sat2

=etodo de Beragui 7 apatas cuadradas)

)

5educiendo el $ngulo de riccioacuten por alla local

WX +2 Y

Ac 3Aq 0

32

$lculo de q

q 3 ZAm2

X 02 ZAm3

alculando qu reemplaando en )qu 2 ZAm2

Para la apata cuadrada mostrada en la fgura 2 se pide calcular la capacidad Beraghi y considerando alla local

6ntonces en uncioacuten de [ e tablas aproNimado)

A

alculando X

0( 0_ 7_+_ prime_

]^ 〗〖1103925 ]I)23 )

) )_ minus_ (_

]^ 2=_ minus_



alculando la capacidad admisible

qu 2 ZAm28S 3

qadm ++ ZAm2

_=_



2 m02(ZAm3

02ZAm32 Y

0ZAm2+m20ZAm3

=etodo de Beragui 9 apatas rectangulares y cuadradas)

WX +2q 3 ZAm2X 02 ZAm3Ac 3Aq 0

329 2 mQ 2 m

qu 0


qu 0 ZAm28S 3qadm (( ZAm2

e carga admisible de acuerdo a

A

02 )0+_=_ I03prime_ )

_=_









FS desliz 144




C 1

Da 03(Pa (00Ph 0P 303+Dp 32+Pp 3(3

2333Pa1

Ph

+333+2

(0

622

971

6AB-m)

lt

ltltltltlt

V





=EnF 002 0 m0022

G m

20+ 0 m 0+

0+ G 2 m02 a 0 G

0( G m0+ a 0 G


P 0057

Ph 15


ensidadtonm3)



32

(

+



FS volteo = 3926

FS desliz 1859


e 0302 m H 9(

2I=JK 〖 IJ L0_ 〗)J )



cr 2 tonm3 tonm3

3 1Da 023Dp 3+3Pa +3Pp 32 22(

9eta

02 a 0 G0+ G 2 m

ton) 957 m)3( 300 +

2 ++0 0(2 00 2203( +0 (0(2 33 232 2 33

0019

161001

80 2((41013

ϕ

==6ABton-m)




0 m Cumple










+ tonm39 + mQ 3 m + m

30 18s 3d 0+dq

Sin actores de orma

2+2Aq 2(

Δqs = 122 203qadm 4064 0

ϕ

A






( DAm3c 20 DAm2

20 1

oela Rn DAm) Cn se

7rea ( 223 (0 0((02 ((3 (2 033 00++ (0( 3+ 0+3+ 030 32 2 03++ + 22 0+(( 2333 332 -2 -003

8s 202

ϕ

7rea

JK 〖∆10383891103925) )JK ( 〖907317 )_

)( 〗〗 )JK 〖907317 _ 〗 )





Cn cosCn TQn m)

2+0 0+ 2 2++( 22+ 0((30(0( 2( 323 (+2+0(3( 0+20 330 220( 3023+(+ 033+02( 33 (203+ (2+

3(+ 0(3 2+ 303 30(3(2 0302 20 -+2(2+20 30(+(

Suma (3 2(+3 +0+

RnsenCn RncosCn





euta 3 $5 putos


9 e Us sat W c sat2


)


WX +2 Y

Ac 3Aq 0

32

$lculo de q

q 3 ZAm2

X 02 ZAm3




A

alculando X

0( 0_ 7_+_ prime_

]^ 〗〖1103925 ]I)23 )

) )_ minus_ (_

]^ 2=_ minus_




qu 2 ZAm28S 3

qadm ++ ZAm2

_=_



2 m02(ZAm3

02ZAm32 Y

0ZAm2+m20ZAm3



329 2 mQ 2 m

qu 0




A

02 )0+_=_ I03prime_ )

_=_










C 1

Da 03(Pa (00Ph 0P 303+Dp 32+Pp 3(3

2333Pa1

Ph

+333+2

(0

622

971

6AB-m)

lt

ltltltltlt

V





=EnF 002 0 m0022

G m

20+ 0 m 0+

0+ G 2 m02 a 0 G

0( G m0+ a 0 G


P 0057

Ph 15


ensidadtonm3)



32

(

+



FS volteo = 3926

FS desliz 1859


e 0302 m H 9(

2I=JK 〖 IJ L0_ 〗)J )



cr 2 tonm3 tonm3

3 1Da 023Dp 3+3Pa +3Pp 32 22(

9eta

02 a 0 G0+ G 2 m

ton) 957 m)3( 300 +

2 ++0 0(2 00 2203( +0 (0(2 33 232 2 33

0019

161001

80 2((41013

ϕ

==6ABton-m)




0 m Cumple










+ tonm39 + mQ 3 m + m

30 18s 3d 0+dq

Sin actores de orma

2+2Aq 2(

Δqs = 122 203qadm 4064 0

ϕ

A






( DAm3c 20 DAm2

20 1

oela Rn DAm) Cn se

7rea ( 223 (0 0((02 ((3 (2 033 00++ (0( 3+ 0+3+ 030 32 2 03++ + 22 0+(( 2333 332 -2 -003

8s 202

ϕ

7rea

JK 〖∆10383891103925) )JK ( 〖907317 )_

)( 〗〗 )JK 〖907317 _ 〗 )





Cn cosCn TQn m)

2+0 0+ 2 2++( 22+ 0((30(0( 2( 323 (+2+0(3( 0+20 330 220( 3023+(+ 033+02( 33 (203+ (2+

3(+ 0(3 2+ 303 30(3(2 0302 20 -+2(2+20 30(+(

Suma (3 2(+3 +0+

RnsenCn RncosCn





euta 3 $5 putos


9 e Us sat W c sat2


)


WX +2 Y

Ac 3Aq 0

32

$lculo de q

q 3 ZAm2

X 02 ZAm3




A

alculando X

0( 0_ 7_+_ prime_

]^ 〗〖1103925 ]I)23 )

) )_ minus_ (_

]^ 2=_ minus_




qu 2 ZAm28S 3

qadm ++ ZAm2

_=_



2 m02(ZAm3

02ZAm32 Y

0ZAm2+m20ZAm3



329 2 mQ 2 m

qu 0




A

02 )0+_=_ I03prime_ )

_=_











=EnF 002 0 m0022

G m

20+ 0 m 0+

0+ G 2 m02 a 0 G

0( G m0+ a 0 G


P 0057

Ph 15


ensidadtonm3)



32

(

+



FS volteo = 3926

FS desliz 1859


e 0302 m H 9(

2I=JK 〖 IJ L0_ 〗)J )



cr 2 tonm3 tonm3

3 1Da 023Dp 3+3Pa +3Pp 32 22(

9eta

02 a 0 G0+ G 2 m

ton) 957 m)3( 300 +

2 ++0 0(2 00 2203( +0 (0(2 33 232 2 33

0019

161001

80 2((41013

ϕ

==6ABton-m)




0 m Cumple










+ tonm39 + mQ 3 m + m

30 18s 3d 0+dq

Sin actores de orma

2+2Aq 2(

Δqs = 122 203qadm 4064 0

ϕ

A






( DAm3c 20 DAm2

20 1

oela Rn DAm) Cn se

7rea ( 223 (0 0((02 ((3 (2 033 00++ (0( 3+ 0+3+ 030 32 2 03++ + 22 0+(( 2333 332 -2 -003

8s 202

ϕ

7rea

JK 〖∆10383891103925) )JK ( 〖907317 )_

)( 〗〗 )JK 〖907317 _ 〗 )





Cn cosCn TQn m)

2+0 0+ 2 2++( 22+ 0((30(0( 2( 323 (+2+0(3( 0+20 330 220( 3023+(+ 033+02( 33 (203+ (2+

3(+ 0(3 2+ 303 30(3(2 0302 20 -+2(2+20 30(+(

Suma (3 2(+3 +0+

RnsenCn RncosCn





euta 3 $5 putos


9 e Us sat W c sat2


)


WX +2 Y

Ac 3Aq 0

32

$lculo de q

q 3 ZAm2

X 02 ZAm3




A

alculando X

0( 0_ 7_+_ prime_

]^ 〗〖1103925 ]I)23 )

) )_ minus_ (_

]^ 2=_ minus_




qu 2 ZAm28S 3

qadm ++ ZAm2

_=_



2 m02(ZAm3

02ZAm32 Y

0ZAm2+m20ZAm3



329 2 mQ 2 m

qu 0




A

02 )0+_=_ I03prime_ )

_=_









FS volteo = 3926

FS desliz 1859


e 0302 m H 9(

2I=JK 〖 IJ L0_ 〗)J )



cr 2 tonm3 tonm3

3 1Da 023Dp 3+3Pa +3Pp 32 22(

9eta

02 a 0 G0+ G 2 m

ton) 957 m)3( 300 +

2 ++0 0(2 00 2203( +0 (0(2 33 232 2 33

0019

161001

80 2((41013

ϕ

==6ABton-m)




0 m Cumple










+ tonm39 + mQ 3 m + m

30 18s 3d 0+dq

Sin actores de orma

2+2Aq 2(

Δqs = 122 203qadm 4064 0

ϕ

A






( DAm3c 20 DAm2

20 1

oela Rn DAm) Cn se

7rea ( 223 (0 0((02 ((3 (2 033 00++ (0( 3+ 0+3+ 030 32 2 03++ + 22 0+(( 2333 332 -2 -003

8s 202

ϕ

7rea

JK 〖∆10383891103925) )JK ( 〖907317 )_

)( 〗〗 )JK 〖907317 _ 〗 )





Cn cosCn TQn m)

2+0 0+ 2 2++( 22+ 0((30(0( 2( 323 (+2+0(3( 0+20 330 220( 3023+(+ 033+02( 33 (203+ (2+

3(+ 0(3 2+ 303 30(3(2 0302 20 -+2(2+20 30(+(

Suma (3 2(+3 +0+

RnsenCn RncosCn





euta 3 $5 putos


9 e Us sat W c sat2


)


WX +2 Y

Ac 3Aq 0

32

$lculo de q

q 3 ZAm2

X 02 ZAm3




A

alculando X

0( 0_ 7_+_ prime_

]^ 〗〖1103925 ]I)23 )

) )_ minus_ (_

]^ 2=_ minus_




qu 2 ZAm28S 3

qadm ++ ZAm2

_=_



2 m02(ZAm3

02ZAm32 Y

0ZAm2+m20ZAm3



329 2 mQ 2 m

qu 0




A

02 )0+_=_ I03prime_ )

_=_









cr 2 tonm3 tonm3

3 1Da 023Dp 3+3Pa +3Pp 32 22(

9eta

02 a 0 G0+ G 2 m

ton) 957 m)3( 300 +

2 ++0 0(2 00 2203( +0 (0(2 33 232 2 33

0019

161001

80 2((41013

ϕ

==6ABton-m)




0 m Cumple










+ tonm39 + mQ 3 m + m

30 18s 3d 0+dq

Sin actores de orma

2+2Aq 2(

Δqs = 122 203qadm 4064 0

ϕ

A






( DAm3c 20 DAm2

20 1

oela Rn DAm) Cn se

7rea ( 223 (0 0((02 ((3 (2 033 00++ (0( 3+ 0+3+ 030 32 2 03++ + 22 0+(( 2333 332 -2 -003

8s 202

ϕ

7rea

JK 〖∆10383891103925) )JK ( 〖907317 )_

)( 〗〗 )JK 〖907317 _ 〗 )





Cn cosCn TQn m)

2+0 0+ 2 2++( 22+ 0((30(0( 2( 323 (+2+0(3( 0+20 330 220( 3023+(+ 033+02( 33 (203+ (2+

3(+ 0(3 2+ 303 30(3(2 0302 20 -+2(2+20 30(+(

Suma (3 2(+3 +0+

RnsenCn RncosCn





euta 3 $5 putos


9 e Us sat W c sat2


)


WX +2 Y

Ac 3Aq 0

32

$lculo de q

q 3 ZAm2

X 02 ZAm3




A

alculando X

0( 0_ 7_+_ prime_

]^ 〗〖1103925 ]I)23 )

) )_ minus_ (_

]^ 2=_ minus_




qu 2 ZAm28S 3

qadm ++ ZAm2

_=_



2 m02(ZAm3

02ZAm32 Y

0ZAm2+m20ZAm3



329 2 mQ 2 m

qu 0




A

02 )0+_=_ I03prime_ )

_=_










0 m Cumple










+ tonm39 + mQ 3 m + m

30 18s 3d 0+dq

Sin actores de orma

2+2Aq 2(

Δqs = 122 203qadm 4064 0

ϕ

A






( DAm3c 20 DAm2

20 1

oela Rn DAm) Cn se

7rea ( 223 (0 0((02 ((3 (2 033 00++ (0( 3+ 0+3+ 030 32 2 03++ + 22 0+(( 2333 332 -2 -003

8s 202

ϕ

7rea

JK 〖∆10383891103925) )JK ( 〖907317 )_

)( 〗〗 )JK 〖907317 _ 〗 )





Cn cosCn TQn m)

2+0 0+ 2 2++( 22+ 0((30(0( 2( 323 (+2+0(3( 0+20 330 220( 3023+(+ 033+02( 33 (203+ (2+

3(+ 0(3 2+ 303 30(3(2 0302 20 -+2(2+20 30(+(

Suma (3 2(+3 +0+

RnsenCn RncosCn





euta 3 $5 putos


9 e Us sat W c sat2


)


WX +2 Y

Ac 3Aq 0

32

$lculo de q

q 3 ZAm2

X 02 ZAm3




A

alculando X

0( 0_ 7_+_ prime_

]^ 〗〖1103925 ]I)23 )

) )_ minus_ (_

]^ 2=_ minus_




qu 2 ZAm28S 3

qadm ++ ZAm2

_=_



2 m02(ZAm3

02ZAm32 Y

0ZAm2+m20ZAm3



329 2 mQ 2 m

qu 0




A

02 )0+_=_ I03prime_ )

_=_
















+ tonm39 + mQ 3 m + m

30 18s 3d 0+dq

Sin actores de orma

2+2Aq 2(

Δqs = 122 203qadm 4064 0

ϕ

A






( DAm3c 20 DAm2

20 1

oela Rn DAm) Cn se

7rea ( 223 (0 0((02 ((3 (2 033 00++ (0( 3+ 0+3+ 030 32 2 03++ + 22 0+(( 2333 332 -2 -003

8s 202

ϕ

7rea

JK 〖∆10383891103925) )JK ( 〖907317 )_

)( 〗〗 )JK 〖907317 _ 〗 )





Cn cosCn TQn m)

2+0 0+ 2 2++( 22+ 0((30(0( 2( 323 (+2+0(3( 0+20 330 220( 3023+(+ 033+02( 33 (203+ (2+

3(+ 0(3 2+ 303 30(3(2 0302 20 -+2(2+20 30(+(

Suma (3 2(+3 +0+

RnsenCn RncosCn





euta 3 $5 putos


9 e Us sat W c sat2


)


WX +2 Y

Ac 3Aq 0

32

$lculo de q

q 3 ZAm2

X 02 ZAm3




A

alculando X

0( 0_ 7_+_ prime_

]^ 〗〖1103925 ]I)23 )

) )_ minus_ (_

]^ 2=_ minus_




qu 2 ZAm28S 3

qadm ++ ZAm2

_=_



2 m02(ZAm3

02ZAm32 Y

0ZAm2+m20ZAm3



329 2 mQ 2 m

qu 0




A

02 )0+_=_ I03prime_ )

_=_











( DAm3c 20 DAm2

20 1

oela Rn DAm) Cn se

7rea ( 223 (0 0((02 ((3 (2 033 00++ (0( 3+ 0+3+ 030 32 2 03++ + 22 0+(( 2333 332 -2 -003

8s 202

ϕ

7rea

JK 〖∆10383891103925) )JK ( 〖907317 )_

)( 〗〗 )JK 〖907317 _ 〗 )





Cn cosCn TQn m)

2+0 0+ 2 2++( 22+ 0((30(0( 2( 323 (+2+0(3( 0+20 330 220( 3023+(+ 033+02( 33 (203+ (2+

3(+ 0(3 2+ 303 30(3(2 0302 20 -+2(2+20 30(+(

Suma (3 2(+3 +0+

RnsenCn RncosCn





euta 3 $5 putos


9 e Us sat W c sat2


)


WX +2 Y

Ac 3Aq 0

32

$lculo de q

q 3 ZAm2

X 02 ZAm3




A

alculando X

0( 0_ 7_+_ prime_

]^ 〗〖1103925 ]I)23 )

) )_ minus_ (_

]^ 2=_ minus_




qu 2 ZAm28S 3

qadm ++ ZAm2

_=_



2 m02(ZAm3

02ZAm32 Y

0ZAm2+m20ZAm3



329 2 mQ 2 m

qu 0




A

02 )0+_=_ I03prime_ )

_=_











Cn cosCn TQn m)

2+0 0+ 2 2++( 22+ 0((30(0( 2( 323 (+2+0(3( 0+20 330 220( 3023+(+ 033+02( 33 (203+ (2+

3(+ 0(3 2+ 303 30(3(2 0302 20 -+2(2+20 30(+(

Suma (3 2(+3 +0+

RnsenCn RncosCn





euta 3 $5 putos


9 e Us sat W c sat2


)


WX +2 Y

Ac 3Aq 0

32

$lculo de q

q 3 ZAm2

X 02 ZAm3




A

alculando X

0( 0_ 7_+_ prime_

]^ 〗〖1103925 ]I)23 )

) )_ minus_ (_

]^ 2=_ minus_




qu 2 ZAm28S 3

qadm ++ ZAm2

_=_



2 m02(ZAm3

02ZAm32 Y

0ZAm2+m20ZAm3



329 2 mQ 2 m

qu 0




A

02 )0+_=_ I03prime_ )

_=_











euta 3 $5 putos


9 e Us sat W c sat2


)


WX +2 Y

Ac 3Aq 0

32

$lculo de q

q 3 ZAm2

X 02 ZAm3




A

alculando X

0( 0_ 7_+_ prime_

]^ 〗〖1103925 ]I)23 )

) )_ minus_ (_

]^ 2=_ minus_




qu 2 ZAm28S 3

qadm ++ ZAm2

_=_



2 m02(ZAm3

02ZAm32 Y

0ZAm2+m20ZAm3



329 2 mQ 2 m

qu 0




A

02 )0+_=_ I03prime_ )

_=_










qu 2 ZAm28S 3

qadm ++ ZAm2

_=_



2 m02(ZAm3

02ZAm32 Y

0ZAm2+m20ZAm3



329 2 mQ 2 m

qu 0




A

02 )0+_=_ I03prime_ )

_=_









2 m02(ZAm3

02ZAm32 Y

0ZAm2+m20ZAm3



329 2 mQ 2 m

qu 0




A

02 )0+_=_ I03prime_ )

_=_







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