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0!/iR2/*+%,/:I%#/:.[%\ /}'* /&2' 9T 18' )ZR 9:; 1R& (S ;*N' /})* /%C'( /*24 6'( hIW/
/%&'( /*N' 9:; 9P 34PS /%R 948I 34Y' 18' /%&'( )2) /%+L'( *F; ?-S 74Y) 3*2) '*RI )ZR 9:;[
)ụ /*P '*+ hRI\
!"h\,/")'P,"&P&"r,-"A+0)"&/\,/"5;,",/0)"b9",/s",/0)"t"(Ee,"L$% 9P 34PS /%R )2) 948I
34Y' 18' /%<' 14<' n/*+L'( 6'( Hụ'( /%&'( (4R4 9&C' /*45/ 35 h, 1ToA
(!"uP&"LU,/")*N,-")/PE"r,-"A+0)")*',-")/^,"L$%F"
f z2) 9K'* (42 /%K 6'( hIW/ /C4 )2) 94PS 3*2) '*RI /%&'( /*N' 9:;_
f mẽ 9+L'( 9~'( 6'( hIW/ )*}'* 9P /45' *-'* ;*N' 7V'( hx Hụ'( 7:/ ?4YI )*& /*})* *F;A
f mẽ )2) 9+L'( vIỹ 9C& 6'( hIW/ )*}'*[ /w 9D )D /*P 1E /%} )2) Si/ 3*Q /*4 )='([ )2)

9+L'( E'( 9i/ /%&'( /*N' 9:;A
&!" $}'* /&2' )2) ?&C4 6'( hIW/ /:; /%I'( )ụ) 1T yIW/ *4Y' vIR'* )2) 9+L'( *XS[ ?p
3*&q/ /%&'( /*N' 9:; 7- /}'* /&2' 1E /%} )E/ /*q; )*KI ?@) )*& %4<'( 3*I 7@) ' A
7!/a[-/:HPQ%,/#e6/:I%#/:.[%/
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?@) ), 1M' 7- /J *F; ?@) 9i) 14Y/ 3*2) '*RI /2) Hụ'( ?<' 9:;A $%&'( /*45/ 35[ )X' H@R 7-&
948I 34Y' 9KR *0'*[ 9KR )*W/ 7- 9i) 94PS )='( /%0'* S- )*Z 9T'( 9i/ %R )2) /%+L'( *F; ?-S
74Y) 1W/ ?F4 )ZR 9:; '*+ 3*4 )D 9T'( 9W/[ 3*4 )D ?ũ 9i) 14Y/ ?G'[ 3*4 )D '*4Y/ 9T /*R. 9J4[ )D
145' *0'* '8'AAA
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$V. /*Q& S6) 9T ;*6) /C; )ZR 1-4 /&2' 7- .<I )XI 9T )*}'* y2)[ )D /*P 2; Hụ'( )2)
;*+,'( ;*2; 3*2) '*RI 9P ;*N' /})* 6'( hIW/ /*N' 9:; '*+\
!"v/:k,-"%/P%")\,/"r,-"A+0)"OJ)"(Ee,w"
(!"v/:k,-"%/P%"%/^,")\&/")*4,-"56&")\,/"r,-"A+0)")*',-")/^,"L$%"a%/:k,-"%/P%"&/E "
5:;Eg!"
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O, hr 9P /*45/ ?:; )2) ;*+,'( /%0'* /}'* /&2' )D /*P ?- ?ý /*I.5/ 9-' *4 *&i) ?- ST/ (4M
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SRI 9N. hẽ /%0'* 1 )2) ;*+,'( ;*2; H@R /%<' ?ý /*I.5/ 9-' *4[ 2; Hụ'( )*& 1-4 /&2'
;*~'(A
II. Xác định ứng suất tại các mép biên đập
m4Y) /}'* /&2' /45' *-'* )*& ST/ Si/ )t/ '(R'( 1W/ 3| /*Q& )*48I )R& n)D /*P ?- Si/ )t/
h2/ '8'[ *R. Si/ )t/ r ?+'( )*w'( 9:;oA
0!/W%,/S+;:/6#[6/:HJ%/&<:/6#h%,/%K&/%,$%,C/
f Sx Hụ'( )='( /*6) 'q' ?Y)* /NS )ZR ?ý /*I.5/ h6) 18' 7:/ ?4YI\
!"#$%&'&($)*+%,! &/

c!
s

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W
ΣM
F
ΣP
0
±
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s
.
f 6'( hIW/ ;*2; /%<' Si/ ;*~'( '»S '(R'(A ë 9N. 7- )2) ;*X' /45; /*Q&[ 3ý *4YI "
HWI ;*U. ?- H-'* )*& 14<' /*+F'( ?+I_ c HWI ;*U. ?- H-'* )*& 14<' *C ?+I_
åg f /J'( *F; )2) ?@) /*~'( 96'( 3P /w Si/ /}'* /&2' /%r ?<' n/%+L'( *F; Si/ /}'* /&2'
r h2/ '8' /*0 åg ;*M4 3P 95' )M ?@) 9U. 'J4 H& /*WS 7- 2; ?@) /*Iû /Ü'*o_
F f H4Y' /})* Si/ /}'* /&2'[ r 9N. F = B y "[ B ?- )*48I H-4 Si/ /}'* /&2' /w 14<' /*+F'(
?+I 95' 14<' *C ?+I 9:;_
W f S=9I' )*E'( IE' )ZR Si/ )t/\ W =
6
Bx1
2
_
å
M
#
f /J'( S=SQ' )ZR )2) ?@) /2) Hô'( 3P /w Si/ )t/ /}'* /&2' /%r ?<' 9E4 7G4 94PS
(4÷R )ZR Si/ )t/ 9DA s*4 vI. 9K'* )*48I H+,'( )ZR M vIR. /*I:' )*48I 34S 9•'( *• 7-

/%&'( Si/ )t/[ 14<' /*+F'( ?+I r 1<' /%24[ 14<' *C ?+I r 1<' ;*M4 /*0 /%&'( )='( /*6) n"fcko[
HWI f 2; Hô'( )*& s
.
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.
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k"
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7!/W%,/S+;:/-=:/
t
()
/:E2/F2J% nhRI 9N. 745/ /t/ ?-
t
o/
- $C4 14<' /*+F'( ?+I\

t
’ = n
g
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s
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f $C4 14<' *C ?+I\
t” = ngA.” f sA.”oAS
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g
f /%>'( ?+F'( %4<'( )ZR '+G)_
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f B4<' /*+F'( ?+I\
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c
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1.,/"232<A S, 9• y2) 9K'* 6'( hIW/ )*}'* r 14<'
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D@R 7-& h, 9• ?@) ?<' ;*N' /E 14<' r *0'* "f"c[ y2) 9K'* 9+F)\
f $C4 14<' /*+F'( ?+I\
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b
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o f gA.’S
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f $C4 14<' *C ?+I\
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s
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c
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o f
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c
c
o n"f`ko
k!/W%,/S+;:/-=:/-#I%#C/
ø'( hIW/ )t/ )*}'* /C4 " 94PS ?- /%K hE 6'( hIW/ )t/ ?G' '*W/ /C4 94PS 9DA $*Q& ?ý /*I.5/
h6) 18' 7:/ ?4YI\
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A

III. Xác định ứng suất trong thân đập theo phYơng pháp chia
lYới.
$*Q& ;*+,'( ;*2; ' [ Si/ )t/ 9:; /}'* /&2' 9+F) )*4R 1ằ'( ST/ ?+G4 /%@) (4R& )D )2)
St/ ?+G4 /*Q& ;*+,'( y ?-
D
y[ /*Q& ;*+,'( . ?-
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D
y[
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/%<' ?+G4A
O2) )='( /*6) /%&'( ;*X' ' 9+F) ?:; 7G4 *Y /%ụ) vI. +G) '*+ hRI\ /%ụ) &y *+G'( /w
*C ?+I ?<' /*+F'( ?+I_ /%ụ) &. *+G'( /w /%<' yIE'( H+G4A O2) /%K hE 6'( hIW/ /%<' 14<' 9ã
9+F) y2) 9K'* r Sụ) /%<'A
0!/W%,/S+;:/6#[6/s
)
C/

ù


ù
ý

-==
+=
)/B"'(b;"a
bx;a
yyy
y
n"f`^o
7!/W%,/S+;:/-=:/
t
C/

ù
ù

ù
ù
ý

t+t+=
t+t+-=
=
++=


2"'
1

"'
1
1
2
111
)/B33B/Q6(c
)/B42Q/B(6b
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t
/C4 Si/ )t/ ?N' ):' ;*}R /%<' Si/ )t/
9R'( yq/ nc Si/ )t/ )2)* '*RI ST/ 3*&M'( D.oA
BE4 7G4 )2) 9:; /*W;[ 9P 9,' (4M' /}'* /&2'[ )D /*P )&4 s
y
;*N' 1E /I.5' /}'* /%<' Si/
)t/ '(R'(\

ï
þ
ï
ý
ü
-=
=
+=
)/B"σ'(σb
"σa
x;baσ
xx2
x2
22x
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D!/W%,/S+;:/-#I%#!/$*Q& )2) )='( /*6) )ZR h6) 18' 7:/ ?4YI\
!"h*U"A[F"
b
"
=
22
yx

yx
4τ)σ(σ
2
1
2
σσ
+-+
+
n"feco
b
c
=
22
yx
yx
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2
1
2
σσ
+
-
n"fe`o
(!"v/:k,-\ ;*+,'( )ZR b
"
7- b
c
7I='( (D) 7G4 '*RI nyQS *0'* "f"`oA g*+,'( )ZR b
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o *&i) 7G4 /%ô) . n3*4 s
y
a s
.
o ST/ (D) a_ (D)
a y2) 9K'* /*Q&\
/(ca = f
yx
σσ

-
n"feeo
GD) a ?W. /*Q& )*48I '(+F) 34S 9•'( *• 3*4 /%K hE a /}'* 9+F) ?- H+,'(A

/k!/W%,/S+;:/:296/-#I%#C/
$ =
22
yx
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2
1
+- n"feko
/ /
/l!/a[-/4PQ%,/4h%,/@%,/S+;:/g_/m+n/4E./@%,/S+;:/
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7- 6'( hIW/
'*á '*W/ b
c
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B+L'( 9~'( b
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Ro B+L'( 9~'( b
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c
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(!"{+|"LN'"r,-"A+0)"
B4PI 9 vIỹ 9C& 6'( hIW/ )*& 145/ ;*+,'( )ZR )2) 6'( hIW/ )*}'* /C4 ST/ 94PS 1W/ 3|
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f mẽ Sũ4 /<' )*ỉ ;*+,'( )ZR b
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)ZR b
"
n*R. b
c
o /C4 94PS 9R'( yq/A
IV. Tính toán ứng suất trong đập theo phYơng pháp lý thuyết
đàn hồi (LTĐH)
s*4 /}'* /&2' 9:; 1</='( /%>'( ?@)[ /R yq/ 1-4 /&2' ;*~'( )ZR L$B]A bD4 )*I'( Si/ )t/
9:; /*+L'( )D HC'( /RS (42)[ H+G4 /*N' 9:; ?- Si/ '8' 12' 7= *C'[ H& 9D 9P ;*N' /})* 6'(
hIW/ /*N' 9:; )D /*P 9+R 78 HC'( 1-4 /&2' *0'* '<S 12' 7= *C'A MT/ )2)* (X' 9ú'([ 3*4 7:/
?4YI /*N' 9:; 7- '8' ?- (X' 9'( )*W/[ )D /*P yQS 9:; '*+ ST/ *0'* '<S 7= *C' 9P /}'*
/&2'A
m4Y) /}'* /&2' 9+F) /45' *-'* %4<'( )*& /w'( ?&C4 '(&C4 ?@)[ 7- )IE4 )V'( HV'( ;*q;
)T'( /2) Hụ'( 9P y2) 9K'* 'T4 ?@) /J'( )T'(A SRI 9N. ?- ST/ hE h, 9 )ụ /*PA
/

0!/L56/-o/*E%,/#W%#/%J&/g^/#E%/*P`2/:[-/*U%,/-B$/[6/
bc-/%P`-/g_/:Hp%,/bPe%,/FY%/:#q%!/
$*Q& ?ý /*I.5/ 9-' *4 6'( hIW/ /C4 ST/ 94PS 1W/ 3| /%&'(
/*N' 9:; )D )*48I )R& 7= *C' n*0'* "f"ko 9+F) 14PI H4ễ' H+G4
HC'( )2) *-S hE /I.5' /}'*\

ù

ù
ý

+=
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ybxa
ybxa
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n"fe6o
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