ΜΗΧΑΝΙΚΗ Ι (ΣΤΑΤΙΚΗ)ΜΗΧΑΝΙΚΗ Ι (ΣΤΑΤΙΚΗ) 6 η σειρά ασκήσεων: Εφαρμογές του εξωτερικού γινομένου στη
2. ΜΗΧΑΝΙΚΗ ΣΥΜΠΕΡΙΦΟΡΑ ΤΗΣ...
Transcript of 2. ΜΗΧΑΝΙΚΗ ΣΥΜΠΕΡΙΦΟΡΑ ΤΗΣ...
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2
2.
2.1 . ( ) ( ). ( ' ), - . , . .
2.2 , (v h ) :
ov uh = , voh K = : h = = uo = = 23-26 kN/m3. : du wo = (w) (10 kN/m3) (d) . , () 0.4-1.0 . , : = 0.6-1.0. : = 0.4-0.7. ( 4 ) ( = 0-0.3 ). ( 400-500 ) ( = 1), , (100-400m) . ( ,
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, ) ( ). () . : 1. . 2. . 3. (overcoring). , : 1. .
.
2. , .
3. (.. ) .
2.3 :
ERMRci=
100
1040
alog (1)
ci ( MPa) ( ), RMR Bieniawski (Rock Mass Rating) GSI (Geological Strength Index) GPa. Hoek (1997) Serafim and Pereira (1983). Poisson :
Poisson
0.20-0.25
0.30-0.35 , 0.35-0.40
0.30-0.35
0.25-0.30
2.4 Mohr Mohr-Coulomb ( ).
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Hoek-Brown . Hoek-Brown :
1 33= + +
ci b
cim s (2)
: 1, 3 = ci = ( ) mb, s, = (ci) Hoek-Brown. , (ci) 1 2. (mb, s, ) :
m mRMR
b i=
exp
10028
(3)
RMR > 25: sRMR
=
exp
1009
, = 0.50 (3)
RMR < 25: s = 0 , = 0 65200
.RMR
(3)
(mi) 3. , RMR GSI ( RMR < 40 RMR ). Hoek-Brown ( 2) (c = 1 3 = 0) : c ci s= (4) :
RMR GSI c / ci 80 0.329 70 0.189 60 0.108 50 0.062 40 0.036 30 0.020 20 - 10 -
. Hoek-Brown . , Hoek (1999) :
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=
20exp019.0 GSIcic (4)
, c / ci = 0.085 GSI = 30, (4) : c / ci = 0.02. , (2) (t = -3 1 = 0):
[ ] t ci b bm s m= + 2 42 (5) - ( RMR > 25). - Hoek-Brown Mohr-Coulomb. , (c, ) Mohr-Coulomb Hoek-Brown. ( Hoek-Brown Mohr-Coulomb) Hoek-Brown . (c, ) Hoek-Brown ( 3): 1. :
1 33= + +
ci b
cim s
(1). 2. :
1
3
3
1 1
++==
smmk
cibb
( )31 =k . 3. :
k
ka +
+=
131 ( ) ( )
kkka +
==
131
3
() () . 4. () (c) :
tan
=
+
12
1 3
aa 1
1sin+
=kk
c a a= tan 5. , ()
(1) :
ka
a =
=3
tan
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2.5 , : 1. (..
) .
2. (.. ).
( RMR) ( ). , (k) . ( - ) k = 0.10, 10% () . , , () 2%, 2.2% , 2.4% 2.6% . , . :
( )[ ]oeteoet ttkttk /log1)/log( +=+= k , t (t), e () , (to) . 1 2 t1 t2 t2=10xt1, : ek = 12 , (k) . , ( 1). , eoE / ( to) /E (t), :
( )oo ttkEE
/log11
+=
, n- ( o
n tt =10 ), to=1.2 (n = 1 1 , n = 2 10 n = 3 100 ) :
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nkEE o +
=1
1
:
/ k 1 10 100
0.02 0.980 0.961 0.943 0.05 0.952 0.909 0.870 0.10 0.909 0.833 0.769 0.15 0.870 0.769 0.690
30% . Hoek E. (1999) "Support for very weak rock associated with faults and shear zones" Proc. Intern. Symp. on Rock Support and Reinforcement Practice in Mining, Kalgoorlie, Australia, March 1999.