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7/21/2019 tarea11 http://slidepdf.com/reader/full/tarea11-56d9a38f33def 1/3 CRITERIO DE ROTURA HOEK-BROWN PARA MACIZOS ROCOSOS ALTERADOS* * Y SU EQUIVALENCIA CON EL CRITERIO DE ROTURA DE MOHR-COULOMB DATOS DE ENTRADA 80 Mpa 25 GSI = 60 m = !"#$%a#%& '& H"&(-B)"# pa)a +a )"!a $a#a GSI = G&"+",!a+ S%)&#,% I#'&. DATOS DE SALIDA 5/ $ = 0/011 a = 0/5 -0/16 Mpa A = 0/83 B = 0/2 ( = 5/14 42/3 ! = 4/8 Mpa 22/56 Mpa E = 1505/4 Mpa RECTA TANGENTE 1/12 Mpa 42/3 6/28 Mpa CALCULOS $ma%") $,3 1E-10 2/86 5/1 8/5 11/43 14/2 1/14 20/00 80 $,1 8/6 40/86 58/6 3/25 85/5 /4 108/20 118/2 51 '$1'$3 28/64 /31 5/52 4/1 4/22 3/88 3/63 3/44 61 $,# 0/2 /43 13/85 1/1 25/1 31/33 36/80 42/15 1 %a 1/5 12/3 1/12 24/5 2/33 33/58 3/4 41/0 1 . -2/25 -1/02 -0/6 -0/60 -0/4 -0/40 -0/34 -0/28 -6 7 -1/1 -0/81 -0/62 -0/51 -0/44 -0/38 -0/33 -0/2 -5 .7 3/85 0/83 0/4 0/31 0/21 0/15 0/11 0/08 6 .$ 5/0 1/05 0/5 0/36 0/24 0/16 0/11 0/08 $,3$,1 0/00 116/6 335/8 62/8 82/24 132/66 1854/8 2365/83 66 $,3$ 0/00 8/16 32/65 3/4 130/61 204/08 23/88 400/00 1142 %a!a+! 1/58 12/12 18/84 24/40 2/30 33/5 3/8 41/4 $,1$,39% 22/56 3/24 51/2 66/60 81/2 5/5 110/63 125/31 $,%a9% 5/24 11/6 1/62 23/15 28/45 33/5 38/5 43/44 %a#,&#% 6/5503 13/06803 18/213 24/45338 2/520 34/8806 3/816 44/446 δ  = m = δ = !"mp)&$"# $mp+& &# )"!a $a#a m :  = δ %m  = φ = δ !m  = δ %#  =  φ %  = ! %  =

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CRITERIO DE ROTURA HOEK-BROWN PARA MACIZOS ROCOSOS ALTERADOS*

* Y SU EQUIVALENCIA CON EL CRITERIO DE ROTURA DE MOHR-COULOMB

DATOS DE ENTRADA

80 Mpa 25 GSI = 60

m = !"#$%a#%& '& H"&(-B)"# pa)a +a )"!a $a#a GSI = G&"+",!a+ S%)&#,% I#'&.

DATOS DE SALIDA

5/ $ = 0/011 a = 0/5

-0/16 Mpa A = 0/83 B = 0/2

( = 5/14 42/3 ! = 4/8 Mpa

22/56 Mpa E = 1505/4 Mpa

RECTA TANGENTE

1/12 Mpa 42/3 6/28 Mpa

CALCULOS

$ma%")

$,3 1E-10 2/86 5/1 8/5 11/43 14/2 1/14 20/00 80

$,1 8/6 40/86 58/6 3/25 85/5 /4 108/20 118/2 51

'$1'$3 28/64 /31 5/52 4/1 4/22 3/88 3/63 3/44 61

$,# 0/2 /43 13/85 1/1 25/1 31/33 36/80 42/15 1

%a 1/5 12/3 1/12 24/5 2/33 33/58 3/4 41/0 1

. -2/25 -1/02 -0/6 -0/60 -0/4 -0/40 -0/34 -0/28 -6

7 -1/1 -0/81 -0/62 -0/51 -0/44 -0/38 -0/33 -0/2 -5

.7 3/85 0/83 0/4 0/31 0/21 0/15 0/11 0/08 6

.$ 5/0 1/05 0/5 0/36 0/24 0/16 0/11 0/08

$,3$,1 0/00 116/6 335/8 62/8 82/24 132/66 1854/8 2365/83 66

$,3$ 0/00 8/16 32/65 3/4 130/61 204/08 23/88 400/00 1142

%a!a+! 1/58 12/12 18/84 24/40 2/30 33/5 3/8 41/4

$,1$,39% 22/56 3/24 51/2 66/60 81/2 5/5 110/63 125/31$,%a9% 5/24 11/6 1/62 23/15 28/45 33/5 38/5 43/44

%a#,&#% 6/5503 13/06803 18/213 24/45338 2/520 34/8806 3/816 44/446

δ = m

=

δ = !"mp)&$"# $mp+& &# )"!a $a#a

m: =

δ%m

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φ =

δ!m

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δ%# =   φ

% = !

% =

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Tesi* or$"# s &MP"'

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LEYENDA

<a+") '& +a !"#$%a#%& '& H"&(-B)"# pa)a &+ ma!" )"!"$"

)&$$%&#!a >'?!%+> '&+ ma!" )"!"$"

( = p&#'&#%& '& +a )&!%a & )&+a!"#a $,1 7 $,3

)&$$%&!a a +a !"mp)&$@# $mp+& '&+ ma!" )"!"$"

$ = !"#$%a#%& & '&p&#'& '& +a$ !a)a!%&)$%!a$ '&+ ma!" )"!"$"

 A = !"#$%a#%& & '&p&#'& '&+ ma%&)a+

pa)a &+ ma!" )"!"$"

E = m@'+" '& '&9")ma!@#

a = !"#$%a#%& & '&p&#'& '& +a$ !a)a!%&)$%!a$ '&+ ma!" )"!"$"

B = !"#$%a#%& & '&p&#'& '&+ ma%&)a+

! = pa)a &+ ma!" )"!"$"

T"'"$ +"$ 'a%"$ a$ !"m" +"$ !+!+"$ a# $'" &.%)a'"$ '&+ +:)">ROC ENGINEERING> E<&)% H"&(F !ap%+" 11 p,/ 1

m: =

δ%m

 =

δ!m

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φ =