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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
=
φ =
δ!m
=
δ%# = φ
% = !
% =
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0E;00 5E;00 1E;01 2E;01 2E;01 3E;01
0/00
20/00
40/00
60/00
80/00
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140/00
Esfuerzo pri!ip"# $eor s% &MP"'
E
s f u
e r z o p
r i ! i p " # $
" (
0/00 5/00 10/00 15/00 20/00 25/00 30/00 35/00 40/00 45/00
0/00
5/00
10/00
15/00
20/00
25/00
30/00
35/00
40/00
45/00
50/00
Tesi* or$"# s &MP"'
T e s i * +
" , e ! i " # +
& M
P " '
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LEYENDA
<a+") '& +a !"#$%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
=
φ =