Planilla Estabilidad de Taludes Examen

DATOS BÁSICOS DEL TALUD ALTURA ALTURA DEL TALUD H 30.00 &END'ENTE DEL TALUD  45.00 &E* E&E+,-'+* DEL UEL*  18.00 /NGUL* DE -R'++'N 'NTERNA  31.00 +*HE'N DEL UEL* +2 50.00

(m) Metros (°) Grados KNm3 (°) Grados KNm!

X COORDENADAS DEL ORIGEN DEL CIRCULO DE DESLIZAMIENTO: 1!.500 RADIO DEL CIRCULO DE DESLIZAMIENTO (m):

40.250

DATOS DATOS OBTENIDOS DE LA GEOMETRÍA DEL DESLIZAMIENTO ÁNGULO " DOVELA ANCHO (m) ALTURA (m) ESO (!N) (#) 1 4."5 1.5"0 141.##" $14.000 ! 4."5 %.%00 #8#.0%0 $%.000 3 4."5 13.130 11#".883 1.000 4 4."5 1%."10 15"5.%81 8.000 5 4."5 !1.""0 1"5".30" 15.000 # 4."5 !5.350 !!58.#85 !3.000 % 4."5 !4.5%0 !18".18% 31.000 8 4."5 !0.830 1855."53 41.000 " 4."5 15.5!0 138!.83! 51.000 10 4."5 %.!%0 #4%.%5% #5.000

LONGITUD ARCO L (m) 5.10! 4."8% 4."51 4.""" 5.1!5 5.3%% 5.%%5 #.55" %.8## 11.%13

$ 40.000

(m)

M%TODO DE &ELLENIUS

1 ! 3 4 5 # % 8 " 10

N' (!N) 100.1%5 485.1!5 8!%.!3! 11!8.388 1385.441 15"%.131 154%."8" 131!.35% "%%.810 458.033

L (m) 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000

C 50.000 50.000 50.000 50.000 50.000 50.000 50.000 50.000 50.000 50.000 

&ACTOR DE SEGURIDAD &ELLENIUS:

C + N,-/ 110.1"1 341.4"! 54%.051 %!8.004 88!.45% 100".#53 "80.1!# 838.544 #3%.5!% 3!5.!14 #400.!#0 .5*

1-3" $34.!%3 $83.#11 !0.41% !!!.0"0 50%.10# 88!.53" 11!%.515 1!1%.#15 10%4.##! 58%.0#% 55!1.1!%

N '

F S

= W cos α = ∑

) ( C + N ' tgφ

∑ Wsenα

M%TODO DE BISHO MODI&ICADO &ACTOR DE SEGURIDAD ADOTADO: " (#) $14.000 $%.000 1.000 8.000 15.000 !3.000 31.000 41.000

mα

N '

F S

1 (!N) 141.##" #8#.0%0 11#".883 15"5.%81 1"5".30" !!58.#85 !18".18% 1855."53

C 50.000 50.000 50.000 50.000 50.000 50.000 50.000 50.000

 tgα ⋅ tgφ  = cos α  1 +  F S    C ⋅ senα  − W   mα  F S  ) ( C + N ' tgφ =∑ ∑ N ' ⋅ senα =

1

m" 0.8%0 0."4! 1.00% 1.048 1.0%3 1.08! 1.0%1 1.0!%

N' (!N) 1%!.41% %3!.%38 11#1.0#1 1518.!00 181%.3"3 !0%4.!54 !0!8.!4" 1%85.8%% 

C + N,-/ 153.5"" 4"0.!%3 %4%.#3# "#!.!!% 114!.000 1!"#.338 1!#8.#"5 11!3.0#3 %183.830

&ACTOR DE SEGURIDAD CALCULADO: &ACTOR DE SEGURIDAD ADOTADO:

m" 0.8"% 0."5# 1.005 1.03! 1.044 1.038 1.01! 0."5!

N' (!N) 1#4.5"8 %!0."33 11#3.513 154!.%03 18%0.8%0 !1##.404 !150.1%0 1"3!.0!1 

C + N,-/ 148."01 483.180 %4".10" "%#."50 11%4.13! 1351.%0% 1341."53 1!10.8%5 %43#.80%


m" 0.8"# 0."55 1.005 1.033 1.04#

N' (!N) 1#5.0%% %!1.##8 11#3.358 1541.135 18#%.40%

C + N,-/ 14".18" 483.#!! %4".01# "%#.00% 11%!.05!

1.041 1.01# 0."5%

!1#0.358 !14!.0#3 1"!!.1!8 

1348.0%4 133%.081 1!04."31 %41"."%!


m" 0.8"# 0."55 1.005 1.033 1.04# 1.041 1.01# 0."5%

N' (!N) 1#5.04# %!1.#!0 11#3.3#8 1541.!3# 18#%.#31 !1#0.%48 !14!.58# 1"!!.%#5 

C + N,-/ 14".1%0 483.5"3 %4".0!! "%#.0#8 11%!.18# 1348.308 133%.3"5 1!05.314 %4!1.05%


m" 0.8"# 0."55 1.005 1.033 1.04# 1.041 1.01# 0."5%

N' (!N) 1#5.048 %!1.#!3 11#3.3#% 1541.!30 18#%.#1% !1#0.%!3 !14!.55! 1"!!.%!4 

C + N,-/ 14".1%1 483.5"5 %4".0!! "%#.0#4 11%!.1%% 1348.!"3 133%.3%5 1!05.!8" %4!0."8%


m"

N' (!N)

C + N,-/

0.8"# 0."55 1.005 1.033 1.04# 1.041 1.01# 0."5%

1#5.048 %!1.#!3 11#3.3#% 1541.!30 18#%.#18 !1#0.%!5 !14!.554 1"!!.%!# 

14".1%1 483.5"5 %4".0!! "%#.0#5 11%!.1%8 1348.!"4 133%.3%# 1!05.!"1 %4!0.""1


m" 0.8"# 0."55 1.005 1.033 1.04# 1.041 1.01# 0."5%

N' (!N) 1#5.048 %!1.#!3 11#3.3#% 1541.!30 18#%.#18 !1#0.%!4 !14!.554 1"!!.%!# 

C + N,-/ 14".1%1 483.5"5 %4".0!! "%#.0#5 11%!.1%8 1348.!"4 133%.3%# 1!05.!"0 %4!0.""1

&ACTOR DE SEGURIDAD CALCULADO: &ACTOR DE SEGURIDAD BISHO:

.*5

.45 N,-3" $41.%1! $8".!"8 !0.!#3 !11.!"3 4%0.3%# 810.4%# 1044.#!5 11%1.#40 35"%.##3 .**6 .**6 N,-3" $3".8!0 $8%.8#0 !0.30# !14.%03 484.!1% 84#.481 110%.4!0 1!#%.5!0 381!."#% .*50 .*50 N,-3" $3"."3# $8%."4" !0.303 !14.485 483.3!1

844.11" 1103.!44 1!#1.0!" 3%"8.#1# .*5 .*5 N,-3" $3"."!8 $8%."43 !0.304 !14.4"" 483.3%8 844.!%! 1103.513 1!#1.44% 3%"".541 .*5 .*5 N,-3" $3"."!" $8%."44 !0.304 !14.4"8 483.3%5 844.!#! 1103.4"# 1!#1.4!0 3%"".481 .*5 .*5 N,-3"

$3"."!" $8%."44 !0.304 !14.4"8 483.3%5 844.!#! 1103.4"% 1!#1.4!! 3%"".485 .*5 .*5 N,-3" $3"."!" $8%."44 !0.304 !14.4"8 483.3%5 844.!#! 1103.4"% 1!#1.4!! 3%"".485 .*5

M%TODO DE 7AMBU MODI&ICADO &ACTOR DE SEGURIDAD ADOTADO: " (#) $14.000 $%.000 1.000 8.000 15.000 !3.000 31.000 41.000

1 (!N) 141.##" #8#.0%0 11#".883 15"5.%81 1"5".30" !!58.#85 !18".18% 1855."53

C 50.000 50.000 50.000 50.000 50.000 50.000 50.000 50.000

 α ⋅ φ  = cos α  1 + tg tg  F S   C ⋅ senα  1  N ' = W −   mα  F S  mα

F S

=

∑ ( C + N ' tgφ ) cos α  ∑ N ' ⋅ senα

m" 0.8%0 0."4! 1.00% 1.048 1.0%3 1.08! 1.0%1 1.0!%

N' (!N) (C + N,-/)-89" 1%!.41% 14".03# %3!.%38 48#.#1" 11#1.0#1 %4%.5!! 1518.!00 "5!.8#! 181%.3"3 1103.08% !0%4.!54 11"3.!85 !0!8.!4" 108%.484 1%85.8%% 84%.58#  #5#%.48!


m" 0.8"1 0."5! 1.00# 1.03# 1.051 1.04" 1.0!% 0."%1

N' (!N) (C + N,-/)-89" 1##.4"" 145.58# %!3.83" 481.31! 11#!."0! %48.#!8 153#.535 "#3.%%! 185%.!8! 11!#.!38 !14!.%43 1!31.1## !118.531 1133."8! 18"3.555 858.#80  ##8".3#5


m" 0.88" 0."51 1.00# 1.03% 1.053

N' (!N) 1#%.0#4 %!4.#"" 11#!.%!! 1534.%!8 1853.318

(C + N,-/)-89" 145."15 481.8!4 %48.5!0 "#!.#"% 11!3."38

1.05! 1.031 0."%#

!135.8%! !10".38# 188!.50" 

1!!%.3## 11!".!%3 853.#%1 ##%3.!03


m" 0.88" 0."51 1.00# 1.03% 1.053 1.05! 1.031 0."%#

N' (!N) (C + N,-/)-89" 1#%.0!1 145.8"0 %!4.#33 481.%85 11#!.%3# %48.5!8 1534.8#% "#!.%%" 1853.#!! 11!4.114 !13#.3"8 1!!%.#5# !110.085 11!".#33 1883.353 854.054  ##%4.43"


m" 0.88" 0."51 1.00# 1.03% 1.053 1.05! 1.031 0."%#

N' (!N) (C + N,-/)-89" 1#%.0!4 145.8"! %!4.#38 481.%88 11#!.%35 %48.5!8 1534.85# "#!.%%3 1853.5"8 11!4.100 !13#.35% 1!!%.#34 !110.03! 11!".#05 1883.!88 854.0!4  ##%4.344


m"

N' (!N)

(C + N,-/)-89"

0.88" 0."51 1.00# 1.03% 1.053 1.05! 1.031 0."%#

1#%.0!4 %!4.#3% 11#!.%35 1534.85% 1853.#00 !13#.3#1 !110.03# 1883.!"3 

145.8"! 481.%88 %48.5!8 "#!.%%4 11!4.101 1!!%.#3# 11!".#0% 854.0!% ##%4.35!


m" 0.88" 0."51 1.00# 1.03% 1.053 1.05! 1.031 0."%#

N' (!N) (C + N,-/)-89" 1#%.0!4 145.8"! %!4.#3% 481.%88 11#!.%35 %48.5!8 1534.85% "#!.%%3 1853.#00 11!4.101 !13#.3#0 1!!%.#3# !110.03# 11!".#0% 1883.!"! 854.0!%  ##%4.351


m" 0.88" 0."51 1.00# 1.03% 1.053 1.05! 1.031 0."%#

N' (!N) (C + N,-/)-89" 1#%.0!4 145.8"! %!4.#3% 481.%88 11#!.%35 %48.5!8 1534.85% "#!.%%3 1853.#00 11!4.101 !13#.3#0 1!!%.#3# !110.03# 11!".#0% 1883.!"! 854.0!%  ##%4.351

&ACTOR DE SEGURIDAD CALCULADO:

&ACTOR DE SEGURIDAD BISHO: &ACTOR DE CORRECCI;N 7AMBU: &ACTOR DE SEGURIDAD CORREGIDO:

.64 1.03 .6

.45 N,-3" $41.%1! $8".!"8 !0.!#3 !11.!"3 4%0.3%# 810.4%# 1044.#!5 11%1.#40 35"%.##3 .25 .25 N,-3" $40.!80 $88.!14 !0.!"5 !13.844 480.%00 83%.!3# 10"1.1!4 1!4!.!84 3%5#.""1 .6 .6 N,-3" $40.41% $88.31" !0.!"! !13.5"3 4%".#%4

834.55! 108#.414 1!35.03% 3%40.8!% .64 .64 N,-3" $40.40# $88.310 !0.!"3 !13.#1! 4%".%53 834.%5% 108#.%%4 1!35.5"0 3%4!.0#3 .64 .64 N,-3" $40.40% $88.311 !0.!"3 !13.#11 4%".%4% 834.%41 108#.%4% 1!35.548 3%41."#8 .64 .64 N,-3"

$40.40% $88.311 !0.!"3 !13.#11 4%".%4% 834.%43 108#.%4" 1!35.551 3%41."%5 .64 .64 N,-3" $40.40% $88.311 !0.!"3 !13.#11 4%".%4% 834.%4! 108#.%4" 1!35.551 3%41."%5 .64 .64 N,-3" $40.40% $88.311 !0.!"3 !13.#11 4%".%4% 834.%4! 108#.%4" 1!35.551 3%41."%5 .64

M%TODO DE !RE$ C + 1-/ () 89" + 135.1!3 4#!.!3! %5!."3% 1008.84! 1!!%.!%! 140%.155 13#5.3"# 11#5.1#"

3"-/ (2) 0.8!5 0."1" 1.010 1.0%4 1.1!1 1.155 1.1#% 1.14" 

&ACTOR SE SEGURIDAD !RE$:

=

M r M a

1-3" $34.!%3 $83.#11 !0.41% !!!.0"0 50%.10# 88!.53" 11!%.515 1!1%.#15 385".3"8

.664

+ W ⋅ tgφ ∑ cos α + senα ⋅ tgφ = = C

F S

()<(2) 1#3.%"" 50!.%"8 %45.!35 "3".4!# 10"4.3%1 1!18.0!1 11%0.3%3 1014.15! #848.1%#

∑Wsenα

+ C ⋅ ctgφ ∑ senα + cos α ⋅ ctgφ W

∑Wsenα

RESUMEN &ACTORES DE SEGURIDAD M%TODO &ELLENIUS M%TODO BISHO M%TODO 7AMBU M%TODO !RE$ &ACTOR DE SEGURIDAD

1.15" 1."53 1.83% 1.%%4 .= (&romedo)

Planilla Estabilidad de Taludes Examen

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