THIẾT kế cầu THÉP 22TTC272 05, tải TRỌNG THIẾT kế HL93, CHIỀU dài TOÀN dầm 34,6m, bề RROONGJ PHẦN XE CHẠY 7m,bề RỘNG lề bộ HÀNH 2x1,5m

Đ n môn hc thit k cu thp 












  !

"
  

"

 !"#


#
$%%&'!(%)*
$%+,-".%/0
 !
$


%$&$



$1"23
$45"678!
$$359
%'()* +


$$1"23
$$45"678!
$$$:;<,)359$
",-$%).(

"
$=<6>'>?@>
$=<6>'>?A1!
/0) 1

/
$BCD>7E,F>'>?@>B
$BCD>7E,F>'>?A1!#
"!#$
"2 3''()4

5
"&6.734 '() $8

#
"0) 98:3


;
$G/HI!0
$J>K%%L!AM>=<0
""&6.734 '() $8

;
45"6%D7!N/O%?PK%5%&'!0
35A/&;<!QIR
$35A/&;<A)I
"/-< 


B/S<@%!!AM>!N$
B/S<@%!!AM>%&
B$!:!;</S<@%!!O>!PFHIB
"5&6=%!2'$=%'>

/
"#&6$8%!2'$$8%'>

5
*35ITUBVBO!N6<P*
*35I>.QVOI!PW
*$35ITU$V$OI>AM>P0
*35ITUVOI,673XAM>KP$R
*B35I>.QTUVOY&!!"M&3Z!N6<P$
*#!:!;<9I5>.Q35$$
"?))@'A$

"

W+A[)%A/$
W359A[$
W$45"67L7!\A[$
W3>'>?A[$B
";-<$8'

/
0J>K%%L!$B
]!^_!JI TURR#

Đ n môn hc thit k cu thp 
0J>K%5$B
0$`!%56=$B
0Ca$#
"B0)$8987C

5
RCD>5>'>?!"IOAM>=<P$#
RCD>5>'>?!"IOAM>&;<P$*
R$CD>5SE5!Q$*
"0)$898D'>

?
VU'!ED>5Ob#RBP$W
V:;<93cc$W
$CD>5$0
CD>7^&MHIO",2!!;P$0
"0)$898)E

"B

E5!>dA"6R
78!3>dR
$CD>5
"7CF7C

"
$CD>75"(/G/HIe8
$S f! !!
""@$G

""
U8S1%,)%73?
7I!5!FI>d
$7I!5!FI !"*
"/)'()HI7C $

"#
BU8%73S1%%'!*
B35".7!e8KA/I,673>W
B$:;<9I>.Q%73>BR
BE5!35K%'!BR
BBCD>5%'!%57&B
B#CD>5%'!%5AFB
B*CD>5%'!,5AM>B
%&%
/3I 

/
/JH%3'>


/
/$2

/
/"1' 6

/
//0)$

/"
/5

/"
B#E5!QB
B#E5!=<>.B
B#$E5!7;B
B#CD>5%'!&!!B
]!^_!JI TURR#

Đ n môn hc thit k cu thp 
CHƯƠNG 1 : SỐ LIỆU THIẾT KẾ
 
KLMNOMPQRSTMUVWXQOYZ[\Q]+
^#HB/+_KLMNOMPQVOK`Va`NbMc
^SNYNVKLMNOMPQadVOMeVaOYNNfgKLQTMhQ
iKVWjQ]VOK`Va`+;
OKkM[SKVlSQ[bm+"5m
kWnQ]ZObQopNOqU+#m
kWnQ]gkrnOSQO+o/m
 

^iQmsVNbMRSrLVtQ]gkrnOSQOuVvwQ]ghQNhQxy[\Q]NzZrLVtQ]gSBuNf
NvwQ]{nNO|MQ}Q
~
B

c T<=

•
/ ~ /
BB"€ € BB"€/BB € B ;""B • ‚
  
g c T
γ
= = =

^O}ZghQNhQgSVO}ZuNfNvwQ]{nNO|Ma}lƒ
U
„"B)-h
^…VVO}ZVOhQOVWlQ]riQmsVNbMuVvwQ]ghQNhQugkrnOSQOxy[\Q]VO}Z u
NfNvwQ]{nNO|Ma}lƒ
U
„5/)-h
H'bmNO†uxvwQV‡Q]NvwQ]uOˆgKLQa`VQ]hQ]•VO}ZOXQO‚[‰Q]VO}ZVzm)#B
NzZ"/ŠVOpl $•Vv‹Q]{v‹Q] #B#)NzZ"/ŠHVOpl )‚NfNvwQ]
{nNO|Ma}lmKQgSƒ
M
„"?/)ZhRSNvwQ]{nNOiUmKQgSƒ
U
„"/)-h
^MgtQ]NvwQ]{nNhlVMŒQVOplVKLMNOMPQ $)/)• ) ";B)‚

gSmV•VO}ZNvwQ]{nNhl /NvwQ]{na}lV…KVOKŽMƒ
M
„BaxK„?#)-huNvwQ]
{nNOiUV…KVOKŽMƒ
U
 „;axK„5")-hhK…NVMŒQVOplVKLMNOMPQ $
);)• ) /5)‚OlsN $);• ) ;")‚uR•Q]{ˆmVOplVKLM
NOMPQ )ƒ")
 
OKkM[SKVlSQrna`VNzMQO|ZN†hNbMgS"5mkWnQ]VlSQNbMgSB/mhQ
NhQxy[\Q]aKŽMa`VO•Z]K‘hghQNhQtVtRSghQNhQgkrnOSQO…VW’5[bmNO†gS
[bmVO}ZgKLQO•ZrLVtQ]N…VVO}Z[jNVOplNbMR“KaOliQ]NYNOOhK[bmgKLQVK`ZgS
?mOKkMNhlVlSQ[bmgKLQO•ZgS/muNOKkMNhl[bmVO}ZgSm
]!^_!JI TURR#

Đ n môn hc thit k cu thp 
XQO+…VW’NOMQ]msVN”VQ]hQ]NbM
CHƯƠNG 2 : THIẾT KẾ LAN CAN – LỀ BỘ HÀNH
   !
XQO+OKVK`VghQNhQ!gkrnOSQO
   
 '()*+)*',-'.,-/,-
 ‹{•V’QO!ViKVWjQ]
Ž{‹Q]KiQux‹{–V’QONOlm—KQO|ZVOhQOghQNhQgSx‹{•[bm]KiQ{‹Q
O|ZV’QOVlYQgSaOliQ]NYNO]K‘hOhKNnVghQNhQgKkQak„BBBmm
]!^_!JI TURR#
"
Đ n môn hc thit k cu thp 
XQO+‹{•V’QORSViKVWjQ]VYN[\Q]gLQVOhQOghQNhQ
iKVWjQ]VYN[\Q]gLQVOhQOghQNhQQOvOXQOHurhl]•m+

^WjQ]gv•Q]riQVOŒQghQNhQVWLQmmNOKkM[SK+
 
/
•#B 5 ‚
#?/€B €"
"
U
−
−
=
•'„BB5/˜mm
^lqVViKVOK`Va`+
iKZOŒQr…VWLQNOKkM[SKVOhQOghQNhQŠ„B#˜mmRSViKVeZVWMQ]-„?;B
VOplKkM?
 nKg™NVWlQ]VOhQOghQNhQ
^)tmpQ[lViKVWjQ]riQVOŒQ]ŒUWhVqKmsVN”VNO’QO]K‘hQO|Z+
 
BB5/€BBB
/BB • ‚
? ?
U
h
iY
T ]>>= = =
^)tmpQ[lOlqVViK]ŒUWhVqKmsVN”VNO’QO]K‘hQO|Z+
 
š š
š B#€BBB
?/BBB • ‚
? ?

h ^
T T ]>>= = = =
- -
- ?;B€BBB
""/BBB • ‚
" "
h ^
T T ]>>= = = =
^–O•ZViKVWjQ]›VWqQ]VOYK]K“KOqQNvwQ]{n+
)tmpQVqKmsVN”VNO’QO]K‘hQO|ZVWlQ]VWqQ]VOYK]K“KOqQNvwQ]{ngS+
š  š 
€ œ  • • ‚ž œ • • ‚ž
U  
U h Y h h Y ^ ^
T T T T T T
η γ γ γ
= + +
WlQ]{f+
ˆx…{KkMNOŸQOViKVWjQ]
€ € 
 j k
η η η η
= =
VOplNYNKkM  "RS
/
ˆx…ViKVWjQ]R“KOlqVViKgS
#/
Y
γ
=

Oˆx…ViKVWjQ]NOlV¡QOViK
/
Y
γ
=
VOpl
KkM"uiQ]"HRS"H
•
 
œ/€/BB #/€•?/BBB•""/BBB‚ž œ#/€•?/BBB•""/BBB‚žT = + +
•0%11%$•mm‚
 OiQ‡Q]NO|Mg™NN†hghQNhQ
^)tmpQTMYQV’QON†hVK`V[KˆQ+

" "
" " "
" "
5
BB/ • ‚ BB/€#B • ‚ "55? • ‚
#B
A
j  >>

= − = − =

^¢NaOYQ]M…Q[hQO{|QON†hVK`V[KˆQ+
]!^_!JI TURR#
/
Đ n môn hc thit k cu thp 
"55?

€ €"B
B/€ B/€#B
 ^
j
T c

= =
•
-
0$%11•mm‚
" KŽmVlYQ
tQ]VO¢NaKŽmVlYQVWqQ]VOYK]K“KOqQNvwQ]{n+


T T
φ
≥
ˆx…x¢NaOYQ]

φ
=
{…KR“KM…QVOplKkM5/"
•€5/??•mm‚£/??/5•mm‚•Đảm bảo chịu lực
 '()*+)/2*.,-/,-3/45-672
 ‹{•V’QO!ViKVWjQ]
¤TMhg™NVO¥Q]{¢Q]VYN[\Q]RSlNnVghQNhQzUNnVghQNhQ›]K‘hNbM{ŽV’QO
iKVWjQ]VYN[\Q]gLQNnVNOŸNOŸrhl]•mNYNg™NVOplZOv‹Q]Q]hQ]NbMVqKNYNR|VW’
gKLQa`VVOhQOghQNhQurhl]•m+
^lqVViKZOŒQr…Š„B#˜mmVWLQQyhQO|ZVOhQOghQNhQ{vwQ]VWMUkQRk
NnVVOSQOg™NVeZNOMQ]-¦„Š€„B#€BBB„#"B•‚

^lqVVqKVeZVWMQ]-„?;BVWLQVOhQOghQNhQQhU{v•N[KNOMUŽQR|{sVQ]hUR|
VW’]KhlR“KNnV
•eUV–Q]O•Zg™NVYN[\Q]gLQNnVVOplZOv‹Q]Q]hQ]NbMVqKm—KR|VW’]KhlR“K
VOhQOghQNhQgS+
ƒ„-•-¦„#"B•?;B•80$9•‚
‹{•V’QORSNYNa’NOVOv“NOXQOOjNN†hNnVQOvXQOH[v“K{ŒU+
XQO"+‹{•V’QONnVghQNhQ
 nKg™NVWlQ]NnVghQNhQ
)tmpQVqKmsVN”VH+
€•"B /5B #?B‚ 5B€5?B
 
T l
−
= + + =
•01199mm
)tmpQaKŽmVlYQVqKVWqQ]VOYK]K“KOqQNvwQ]{n+
€ #/€?"?BB
YY  
T T
γ
−
= =
•0::199•mm‚
•ˆx…ViKVWjQ]R“KOlqVViKgS
#/
YY
γ
=
‚
 OiQ‡Q]NO|Mg™NN†hNnVghQNhQ

‹{•V’QONnVghQNhQgS[bmNlQ]olg•aOKr¤TMhg™NVO¥Q]{¢Q][jNVW\N‚
)tmpQTMYQV’QON†hVK`V[KˆQNnVghQNhQVqKmsVN”VH{v•Nxy[\Q] MVlh[
BB#V’QO{v•Na`VTMigS+
"#$%&'('
)#"*+#,#"%&-&&(.&
/012*134/5%6%'''''77.''''''
8%'''''77''''''
#1,"/*2%6%&&&9'
8%.&:9.(
]!^_!JI TURR#
5
Đ n môn hc thit k cu thp 
;/+#1,</=*1#",*$%6%-'.:- '-:(
8%9&:9:&'
)"/20>,/=*1#",*$%68%-9.9.'& &.
$2**/=3?"$,*/1%6%:.:'
8%-(
)"*1>*@$A+/+#1,<$126782*"#>,*/1<$4/0,>#1,"/*2%
%&':-:'999$A/13B'''''''''C
D%-.:'9- $A/13B'''''''''C
•
&
„/"5B#mm
"

H¢NaOYQ]M…Q[hQO{|QON†hNnVghQNhQ+
 
€ € /"5B#€"B€ u#u/u#B •  ‚
BB
7 h ^

T j c ] >>

= = =
" KŽmVlYQNnVghQNhQ
H WqQ]VOYK]K“KOqQNvwQ]{n+
   €u#u/u#B €#/€?"?BB ;;?"BB•  ‚
7 YY  
T T ] >>
φ η γ
−
≥ = ≥ =

•O¤h§
 
 '()*+);<-;=*>-6.?;2'@-'
 ‹{•V’QORSViKVWjQ]
‹{•V’QOgS[bm]KiQ{‹QuN”VBBBmm[SKVOplZOv‹Q][jNNbM{ŽV’QOuVK`V[KˆQ
V’QOgSOXQONO‘QOeVr€O„BBBoBBmmuNOKkM[SKQO|ZV’QOVlYQgS„BBmm
XQO/+‹{•V’QOgkrnOSQO
iKVWjQ]VYN[\Q]]•mV¡QOViKriQVOŒQ•'‚uOlqVViKQ]vwK•-‚
/
/€B €BBB€BB /• ˜ ‚U ] >>
−
= =

€B €BBB • ˜ ‚Y ] >>
−
= =
 ’QOVlYQQnKg™N
)tmpQVWqQ]VOYK]K“KOqQNvwQ]{n+

( ) ( )
( )
 
  € /€/ #/€ €BB
€ € #5;; 
? ?
U Y

U Y Y
T ] >>
γ γ
η
+ +
= = =
)tmpQVWqQ]VOYK]K“KOqQxy[\Q]+
( ) ( )
( )
 
€ /  €BB
€ € 5?#/ 
? ?

U Y Y
T ] >>
η
+ +
= = =
 ’QOVlYQRSr…VW’N…VVO}Z
OjQ[
x

„#Bmm
OKkMNhlR‰Q]Q}Q+
 
~
 €#5;;
#B #B
€B?/€ € B;€B?/€B€BBB

S S

T
 A A
c %
φ
= − − = − −
•h„mm
]!^_!JI TURR#
#
Đ n môn hc thit k cu thp 
&}VV¨x…


BB B"
 B?"€#B
S S
 
A A
β
= = = ≤
WlQ]{f

( )
( )
~

BB/ BB/
B?/  ? B?/ € B ? B?"
# #

c
β
= − − = − − =
•R“K
~
B ?

c T T= ≥
‚
'KˆQV’NON…VVO}ZVOK`Va`+
~

B?/€ € €
B?/€B€€BBB
##• ‚
5/

S
^
c  %
b >>
c

= = =
v•Q]N…VVO}ZV…KVOKŽM+
( )
~

umKQ
B
BB€ € € BB€BBB€BB€ "#
5/

S
^
c
b %  >>
c
= = =
+NOjQgv•Q]N…VVO}ZV…KVOKŽM{Žr…VW’VO}Z

x
„"#mm

•NOjQ
( )

B BB ;
S
 b >>
φ
=
r…VW’NOlm[SKgkrnOSQO

" KŽmVWhQ¢V
HtQ]VO¢NaKŽmVlYQ+

mKQ•B5€ ‚

S S ^
 
m
c c c
b A
≤ =
WlQ]{f+
©„BBBB˜mmR“KaO’OeMtQO•h
ª
U
„5/)-h
[
N
„Bmm«/Bmm

N
„•B•B‚€BBB˜/„BBB•mm

‚
•

BBBB
mKQ•B5€5/ ‚ mKQ•; "#‚ ; • ‚
BBB€B
S

c T= = =
H“KrLVtQ]N…VVO}ZVOvwQ]x‹{•x‹{•¢Q]xMzVaKŽmVWhR“Kx‹{•{SQO•KQ¢Vu
NOKkMNhlR‰Q]Q}Q+
     
     
  
S S S S S
S % S
 b A % g b A %
h
%  b g %  b
   
= + − = + −
   
   
   
•
( )
BBBBB€; €#B€BBB
€   ;#
BBBBB
;""B€BBB
€;
;""B
h >>
 
 
= + − =
 
 

 
 
H)tmpQTMYQV’QONO’QON†hVK`V[KˆQTMU{–K+
( ) ( )
 
 
 BBB€;# BBBBB
  €;€ #B ;#
  ;""B
7 S S
% h
j  b A h= + − = + −
•
( )
"
/;#"
7
j >>=
]!^_!JI TURR#
?
Đ n môn hc thit k cu thp 
H1Q]xMzVVWlQ]N…VVO}ZVqKVWjQ]VŒmN…VVO}ZgS+
( ) ( ) ( )
5?#/ BBBBB
  € #B ;# €  ;
/;#" ;""B

S
S S S
7 

g
T
c A h c T
j g
= − = − = ≤ =
HeU{KkMaKˆQRkQ¢VVO¤hm¬Q
 '()*+);ABC,37D/;(E*
 ‹{•V’QORSViKVWjQ]
H’QOrfRŸhgkrnOSQOVWlQ]{sNrKˆVuR“KNzZQ]‡QNOsQ
H™NVOK`Va`ghQNhQgzUVOpl #+
-Ov‹Q]VYN[\Q] ™N•‚ OKkM[SKg™NVYN[\Q]
]hQ] ƒ
V
„"B 
V
„B#Bmm
O¥Q]{¢Q] ƒ
R
„?B 
R
„//BBmm
'jN ƒ

„?B 

„B#Bmm
H…VVO}ZVWlQ]rfRŸhNOjQx‹rngS
/ "
φ
VWLQm[SKrfRŸh

XQO5+‹{•V’QOrfRŸh
 OiQ‡Q]NO|Mg™N
H…KR“KNYNRhotVWlQ]mnVZObQ{lqQVvwQ]+



? ? 

 
n % n
 
T Y
k T T 
Y Y 
 
 
= + +
 ÷
 ÷
−
 
 
OKkM[SKVvwQ]V“KOqQ
N
VWLQ{foiUWhN‹NzM{vwQ]NOiUZOiKgzUr-Q]+
( )

?
 
% n

 


 T T 
Y Y
Y
T
+
 
= + +
 ÷
 
H“KNYNRhNOqmVqK{bMVvwQ]OlsNVqKm…KQ…K+





 
n % n
 
T Y
k T T 
Y Y 
 
 
= + +
 ÷
 ÷
−

 
 
( )

 
% n
 


 T T 
Y Y
Y
T
+
 
= + +
 ÷
 
H'laOtQ]NfVvwQ]{ŸQOQLQ)
r
„BuNYNa®OKˆMxy[\Q]VO…Q]QOzVQOv
#"
]!^_!JI TURR#
;
Đ n môn hc thit k cu thp 
H&YN{|QOaOiQ‡Q]NO|MmtmpQN†hVvwQ]VWLQmnV{‹QR|NOKkM[SK{…KR“KVW\N
Q]hQ]•)
N
‚
K`V[KˆQV’QOVlYQroO„oBB•mm‚uV’QOVOplVK`V[KˆQ{sVN…V{‹QuN…VVO}Zr…VW’

gS+


"€"
B#5; • ‚
"€BB
S
b >>= =
OKkMNhlR‰Q]Q}QTMU{–KN†hrLVtQ]+
~

B#5;€5/
B• ‚
B?/€ € B?/€B€
S ^

b c
 >>
c %
= = =
( )
( )
~

BB/ BB/
B?/  ? B?/ € B ? B?"
# #

c
β

= − − = − − =
•R“K
~
B ?

c T T= ≥
‚
OjQ[
x
„/Bmm

B
BB; B"
 B?"€/B
S S
 
A A
β
= = = ≤
•VO¤h{KkMaKˆQZOYOlqK[¯l
•
B
 • ‚ B#5;€5/€•/B ‚
 
 S ^ S

T b c A= − = −
•
"B/#  ˜


T ] >> >>=
H&YN{|QOaOiQ‡Q]NO|MmtmpQN†hVvwQ]VWLQmnV{‹QR|NOKkM[SK{…KR“KVW\N
{¢Q]•)
š
‚
K`V[KˆQV’QOVlYQroO„oBB•mm‚uV’QOVOplVK`V[KˆQ{sVN…V{‹QuN…VVO}Zr…VW’
gS+


€"€
B" • ‚
"€BB
S
b >>= =
OKkMNhlR‰Q]Q}QTMU{–KN†hrLVtQ]+
~

B"€5/
5?• ‚
B?/€ € B?/€B€
S ^

b c
 >>
c %
= = =
( )
( )
~


BB/ BB/
B?/  ? B?/ € B ? B?"
# #

c
β
= − − = − − =
•R“K
~
B ?

c T T= ≥
‚
OjQ[
x
„/Bmm

5?
B B"
 B?"€/B
S S
 
A A
β
= = = ≤
•VO¤h{KkMaKˆQZOYOlqK[¯l
•
5?
 • ‚ B"€5/€•/B ‚
 

n S ^ S

T b c A= − = −
•
/?//  ˜
n
T ] >> >>=
H
…KR“KNYNRhotVWlQ]mnVZObQ{lqQVvwQ]+
( )
( )

?€BB€ B /?//€BB
B#B B#B
5?5
  "B/#

Y >>
+
 
= + + =
 ÷
 
( )

 "B/#€5?5
?€B ?€/?//€BB "/5B;5
€5?5 B#B BB
n
k ]

 
 
= + + =
 ÷
 ÷
−
 
 
H“KNYNRhNOqmVqK{bMVvwQ]OlsNVqKm…KQ…K+
]!^_!JI TURR#
B
Đ n môn hc thit k cu thp 
( )
( )

BB€ B /?//€BB
B#B B#B
?B
  "B/#

Y >>
+
 
= + + =
 ÷
 
( )

 "B/#€?B
B /?//€BB ;;

€?B B#B BB
n
k ]
 
 
= + + =
 ÷
 ÷
−
 
 
 KŽmVlYQ
HtQ]VO¢NaKŽmVlYQ+
š 
k l≥
• #‚
•
( ) ( )
;; "BBBB] ]≥
•O¤h§
CHƯƠNG 3 : THIẾT KẾ BẢN MẶT CẦU
 E
LVtQ]riQmsVNbM+BNfª
N
¦„B)-hRS@
N
„;""B)-h
…VVO}Z Nfƒ
U
„5/)-h

OKkM[SUriQmsVNbMV
x
„BBmm
 FE6E
 F7G*H-'
‹{•V’QOriQNlQ]olggSx‹{•[bmNlQ]olgNfQO|ZV’QOVlYQgS„#/Bmm
”VBBBmm[SKVOplZOv‹Q][jNNbM{ŽV’QOVlYQK`V[KˆQV’QOVlYQgSOXQONO‘
QOeVNfa’NOVOv“NgSroO„BBBoBB•mm‚
XQO#‹{•V’QOriQNlQ]olg
 IJ/7K-'*<(*LM-6
H¡QOViKriQmsVNbMZOŒQr…{kM+
/
/€B €BBB€BB /• ˜ ‚U ] >>
−
= =
H¡QOViKVeZVWMQ]V–Q]NnQ][lVWjQ]gv•Q]NnVuVvwQ]uVOhQOghQNhQ+
( )
/ /
BBB€BB5/€ ;"/"€/B ?"€? €#?/€B 5/B€/B€BBB€/€B


−
= + + +
•
"/5• ‚

 ]=

]!^_!JI TURR#


Đ n môn hc thit k cu thp 
H¡QOViKVeZVWMQ][lOlqVViKrnOSQO+
( )


€B €BBB€BB ;/B• ‚

Y ]
−
= =
 H-'*NJ--2(.O/
H)tmpQ›vwQ]{n+

#/B
   €5/ € € €5/


U  Y
T >  U Y
η γ γ
 
 
= + +
 
 ÷
 
 
•

#/B

€€ /€ "/5€5/ /€ #/€;/B€5/


T
 
 
= + +
 
 ÷
 
 
•
( )
?;"5/5 

T ] >>=
H)tmpQ›xy[\Q]+

#/B
€  €5/ € € €5/


U  Y
T >  U Y
γ γ
 
 
= + +
 
 ÷

 
 
•

#/B
€ € "/5€5/ /€ €;/B€5/


T
 
 
= + +
 
 ÷
 
 
•
( )
5/#/B 

T ] >>=
 FGH;I %
 F7G*H-'
‹{•V’QOriQ[bm]K‘hgSx‹{•[bmgKLQV\NQOvQ]{Ž{‹Q]KiQVWlQ]V’QOVlYQVh
x°R“Kx‹{•[bm]KiQ{‹QxhM{fa`VTMiQnKg™Nx°{v•NQOŒQR“KOˆx…{KkMNOŸQO
NOlx‹{•gKLQV\NO|ZV’QOVlYQgS„?BBmm
”Vmm[SKVOplZOv‹Q][jNNbM{ŽV’QOVlYQK`V[KˆQV’QOVlYQgSOXQONO‘QOeV
Nfa’NOVOv“NgSroO„oBB•mm‚
XQO?‹{•V’QOriQ[bm]K‘h
 IJ/7K-'*<(*LM-6

H¡QOViKg“ZZO†+
/ 
€B €€BB €B • ˜ ‚o ] >>
− −
= =
]!^_!JI TURR#

Đ n môn hc thit k cu thp 
H¡QOViKriQVOŒQriQmsVNbM+
/ 
/€B €€BB /€B • ˜ ‚U ] >>
− −
= =
HlqVViKNOŸNfopVW\Nuo`ZopQOvVWLQx‹{•V’QOuViKVWjQ]op-„"/BBB{sV
VqK]K‘hQO|ZuVWMUkQoM…Q]riQVOSQOYZg™NZOŒQr…{kM]KYVW|gS+
( )

B/ B/€"/BBB ?;
˜
?B€
i 
] >>
o % o o
= = =

HWlQ]{fuVv‹Q]¢Q]aOKV’QONOlmtmpQ[v‹Q]VqK]K‘hQO|ZOhUmtmpQŒm
VqK]…K•aOKQOŒQOˆx…{KkMNOŸQO‚u]KYVW|ŠgS+
55B B//€ 5/B• ‚
B B/€ 5#B• ‚
o  o >>

o  o >>
+ +
− −
 
= + =
→
 
= + =
 
R“K„?BBmmgSQO|ZV’QOVlYQ
N†hriQ
 P'QRB@*H-'*NJ--2(.O/
H)tmpQ[v‹Q]VqK]K‘hQO|Z›NvwQ]{nuNfo}V{`QOˆx…{KkMNOŸQO±
NOlx‹{•gKLQV\N+
 
˜
 € € ?B ?B ?B
€ € €   • ‚    
 ? ?    "

o U YY
o  U  i  i
T > jT
o o
η γ γ γ
+ +
 
 
= + + + −
  ÷

 
 
   
˜
€ €B €?BB /€B €?BB ?B ?; ?BB ?B
 /€ /€ #/€• B/‚ 
 ? ?  5/B  "

T
− −
 
 
= + + + −
  ÷
 
 
•
˜
/5•  ‚

T ] >>=
H)tmpQŒmVqK]…K›NvwQ]{nuNfo}V{`QOˆx…{KkMNOŸQOB#NOlx‹{•
gKLQV\N+
 
€ € ?B ?B ?B
B#€ € €   • ‚    
? ?    "

! o U YY
o  U  i  i

T > jT
o o
η γ γ γ
− −
 
 
= + + + −
  ÷
 
 
   
€B ?BB /€B €?BB ?B ?; ?BB ?B
B#€€ /€ /€ #/€•/‚ 
? ?  5#B  "

!
T
− −
 
 
= + + −
  ÷
 
 
•
B;5•  ‚

!
T ] >>=
H)tmpQ[v‹Q]VqK]K‘hQO|Z›xy[\Q]uNfo}V{`QOˆx…{KkMNOŸQO±NOl

x‹{•gKLQV\N+
 
˜
 € € ?B ?B
€ € • ‚ 
 ? ?   "

o  U  i 
T > jT
o
+
 
 
= + + + −
  ÷
 
 
   
˜
 €B €?BB /€B €?BB ?B ?; ?BB ?B
 • B/‚ 
 ? ?  5/B  "

T
− −
 
 
= + + + −
  ÷
 

 
•
˜
B•  ‚

T ] >>=
H)tmpQŒmVqK]…K›xy[\Q]uNfo}V{`QOˆx…{KkMNOŸQOB#NOlx‹{•
gKLQV\N+
 
€ € ?B ?B
B#€ € • ‚ 
? ?   "

!
o  U  i 
T > jT
o
−
 
 
= + + + −
  ÷
 
 
   
€B ?BB /€B €?BB ?B ?; ?BB ?B
B#€ •/‚ 
? ?  5#B  "

!

T
− −
 
 
= + + −
  ÷
 
 
•
?;•  ‚

!
T ] >>=
]!^_!JI TURR#

Đ n môn hc thit k cu thp 
. J)EF;KH
 '()*+)/S**'TR/'KUV>VW-XV
)tmpQVOK`Va`VO}Z+ 
B;5•  ‚

!
T ] >>=
uVK`V[KˆQVOK`Va`gSroO„BBBoBB
•mm‚
OjQ[
x
„/Bmm
OKkMNhlR‰Q]Q}Q+
 

~
 €B;5€BBB
/B /B
€B?/€ € B;€B?/€B€BBB

S S

T
 A A
c %
φ
= − − = − −
•h„;mm
&}VV¨x…

;
BB# B"
 B?"€/B
S S
 
A A
β
= = = ≤
WlQ]{f
( )
( )
~

BB/ BB/
B?/  ? B?/ € B ? B?"

# #

c
β
= − − = − − =
•R“K
~
B ?

c T T= ≥
‚
'KˆQV’NON…VVO}ZVOK`Va`+
~

B?/€ € €
B?/€B€;€BBB
5/B• ‚
5/

S
^
c  %
b >>
c
= = =
v•Q]N…VVO}ZV…KVOKŽM+
( )
~

umKQ

B
BB€ € € BB€BBB€BB€ "#
5/

S
^
c
b %  >>
c
= = =
•NOjQgv•Q]N…VVO}Zr…VW’+

x
„5/Bmm

•NOjQ
( )

 /B #;
S
 b >>
φ
=
r…VW’NOlm[SKriQmsVNbMVOpl
ZOv‹Q][jNNbM
 '()*+)/S**'TR/'KUV>VW-Y4F-6
)tmpQVOK`Va`VO}Z+ 
˜
/5•  ‚


T ] >>=
uVK`V[KˆQVOK`Va`gSroO„BBBoBB
•mm‚
OjQ[
x
„/Bmm
OKkMNhlR‰Q]Q}Q+
 
~
 €/5€BBB
/B /B
€B?/€ € B;€B?/€B€BBB

S S

T
 A A
c %
φ
= − − = − −
•h„55mm
&}VV¨x…

55
BB/ B"
 B?"€/B
S S
 
A A
β

= = = ≤
]!^_!JI TURR#
"
Đ n môn hc thit k cu thp 
WlQ]{f
( )
( )
~

BB/ BB/
B?/  ? B?/ € B ? B?"
# #

c
β
= − − = − − =
•R“K
~
B ?

c T T= ≥
‚
'KˆQV’NON…VVO}ZVOK`Va`+
~

B?/€ € €
B?/€B€55€BBB
"5• ‚
5/


S
^
c  %
b >>
c
= = =
v•Q]N…VVO}ZV…KVOKŽM+
( )
~

umKQ
B
BB€ € € BB€BBB€BB€ "#
5/

S
^
c
b %  >>
c
= = =
•NOjQgv•Q]N…VVO}Zr…VW’+

x
„"5mm

•NOjQ
( )

 BB /5/

S
 b >>
φ
=
r…VW’NOlm[SKriQmsVNbMVOpl
ZOv‹Q][jNNbM
- L; M
% (ZV*L,-[*B\(V>VW-XV
)tmpQaKŽmVWhQ¢V+
?;•  ‚

!
T ] >>=
uVK`V[KˆQQOvaOKVOK`Va`N…VVO}Z
HtQ]VO¢NaKŽmVlYQ+

mKQ•B5€ ‚

S S ^
 
m
c c c
b A
≤ =
WlQ]{f+
©„BBBB˜mmR“KaO’OeMtQO•h
ª
U
„5/)-h
[

N
„Bmm«/Bmm

N
„•B•B‚€BBB˜#„?/#•mm

‚
•

BBBB
mKQ•B5€5/ ‚ mKQ•; "#?‚ ; • ‚
?/#€B
S
c T= = =
H“KrLVtQ]N…VVO}ZVOvwQ]x‹{•x‹{•¢Q]xMzVaKŽmVWhR“Kx‹{•{SQO•KQ¢Vu
NOKkMNhlR‰Q]Q}Q+
     
     
  
S S S S S
S % S
 b A % g b A %
h
%  b g %  b
   
= + − = + −
   
   
   
•

( )
BBBBB€#; €/B€BBB
€   5
BBBBB
;""B€BBB
€#;
;""B
h >>
 
 
= + − =
 
 
 
 
H)tmpQTMYQV’QONO’QON†hVK`V[KˆQTMU{–K+
( ) ( )
 
 
 BBB€5 BBBBB
  #; /B 5
  ;""B
7 S S
% h
j  b A h= + − = + −
]!^_!JI TURR#
/
Đ n môn hc thit k cu thp 
•
( )

"
;B55BB?
7
j >>=
H1Q]xMzVVWlQ]N…VVO}ZVqKVWjQ]VŒmN…VVO}ZgS+
( ) ( ) ( )
?;€BBB BBBBB
  € /B 5 € #" ;
;B55BB? ;""B

S
S S S
7 
g
T
c A h c T
j g
= − = − = ≤ =
HeU{KkMaKˆQRkQ¢VVO¤hm¬Q
% (ZV*L,-[*B\(V>VW-Y4F-6
)tmpQaKŽmVWhQ¢V+
˜
B•  ‚

T ] >>=
uVK`V[KˆQQOvaOKVOK`Va`N…VVO}Z
HtQ]VO¢NaKŽmVlYQ+

mKQ•B5€ ‚


S S ^
 
m
c c c
b A
≤ =
WlQ]{f+
©„BBBB˜mmR“KaO’OeMtQO•h
ª
U
„5/)-h
[
N
„Bmm«/Bmm

N
„•B•B‚€BBB˜/„BBB•mm

‚
•

BBBB
mKQ•B5€5/ ‚ mKQ•; "#‚ ; • ‚
BBB€B
S
c T= = =
H“KrLVtQ]N…VVO}ZVOvwQ]x‹{•x‹{•¢Q]xMzVaKŽmVWhR“Kx‹{•{SQO•KQ¢Vu
NOKkMNhlR‰Q]Q}Q+
     
     

  
S S S S S
S % S
 b A % g b A %
h
%  b g %  b
   
= + − = + −
   
   
   
•
( )
BBBBB€/5/ €/B€BBB
€   B
BBBBB
;""B€BBB
€/5/
;""B
h >>
 
 
= + − =
 
 
 
 
H)tmpQTMYQV’QONO’QON†hVK`V[KˆQTMU{–K+
( ) ( )
 

 
 BBB€B BBBBB
  /5/ /B B
  ;""B
7 S S
% h
j  b A h= + − = + −
•
( )
"
5"5?"/
7
j >>=
H1Q]xMzVVWlQ]N…VVO}ZVqKVWjQ]VŒmN…VVO}ZgS+
( ) ( ) ( )
B€BBB BBBBB
  € /B B € 5# ;
5"5?"/ ;""B

S
S S S
7 
g
T
c A h c T
j g
= − = − = ≤ =
HeU{KkMaKˆQRkQ¢VVO¤hm¬Q
CHƯƠNG 4 : THIẾT KẾ DẦM CHỦ
. N OGGH;P

OjQVK`V[KˆQQ]hQ][bmVO}ZOXQONO‘u{v•NV–O•ZV•VO}ZVzmr-Q]NYNm…K
OSQW¬QOgKLQV\NQ]zMOlSQVlSQO}Zxy[\Q]gS)#BNzZ"/ŠVOpl $
]!^_!JI TURR#
5
Đ n môn hc thit k cu thp 
•Vv‹Q]{v‹Q] #B#)NzZ"/ŠHVOpl )‚NfNvwQ]{nNO|Ma}lmKQgSƒ
M
„"?/
)ZhRSNvwQ]{nNOiUmKQgSƒ
U
„"/)-h
YNa’NOVOv“Na®OKˆMVWLQOXQO"HRS{v•Ng™hNOjQx‹rnQOvxhM+
YQOVWLQ+
kWnQ]+r
N
„BBmm
k[SU+V
N
„Bmm
YNO[bm•riQxvwQ‚+
OKkMNhl+'
š
„"Bmm
k[SU+V
š
„Bmm
YQO[v“K[bm+
kWnQ]+r
ª
„BBmm

k[SU+V
ª
„Bmm
iQVYZNYQO[v“K+
ŽWnQ]+
"BBmmr
~
ª
=

k[SU+
~
ª
V Bmm=

OKkMNhl[bm+[„BBmm
'
'
?/Q.&9(-
''
.''
''
'
.' '
''
XQO;+K`V[KˆQQ]hQ][bmNO†•ZObQ[bmVO}Z‚
. 6RKSOP GH; ET
^'KˆQV’NOmsVN”VQ]hQ]+

x

„r
N
€V
N
•'
š
€V
š
•r
ª
€V
ª
•r
ª
¦€V
ª
¦„BB€B•"B€B•BB€B•"BB€B
•
x
„"?BBmm


^&YN{|QOR|VW’VW\NVWMQ]O•h+
OjQOˆVW\NVjh{nRMtQ]]fNrhQ{bM$oUR“KVW\N$o{KTMhm}Z[v“KN†hriQ
VYZQOvOXQO"HWlQ]OˆVjh{nQSUu[KˆQV’NORSVjh{nVWjQ]VŒmN†hNYQOVWLQu
RYNO[bmuNYQO[v“KuriQVYZgS+
YQOVWLQ+

x
„r

N
€V
N
„BB€B„5BBB•mm

‚
U

„[!V
N
˜„BB!B˜„;B•mm‚
 YNO[bm+

x
„'
N
€V
š
„"B€B„?BB•mm

‚
U

„'
N
˜•V
ª
•V
ª
¦„"B•B•B„5B•mm‚

]!^_!JI TURR#
#
Đ n môn hc thit k cu thp 
YQO[v“K+

x
„r
ª
€V
ª
„BB€B„5BBB•mm

‚
U

„V
ª
¦•V
ª
˜„B•B˜„B•mm‚
iQVYZ+

x"
„r¦
ª
€V¦
ª
„"BB€B„?BBB•mm

‚

U
"
„V
ª
¦˜„B˜„B•mm‚
jh{nVWjQ]VŒmN†hVlSQrnVK`V[KˆQgS+
S

S

S

S

b
^b
b
^b
^
∑
∑
∑
=
=
=
==
"

"


"

€€
•
"?B
B€?BBBB€5BBB5B€?BB;B€5BBB +++
=

^
•U
l
„";#?/mm
K`V[KˆQ{…Ko¢Q]VWLQVW\N$UQLQOlSQO{nVWjQ]VŒmr-Q]Bu[l{fVjh{nVWjQ]
VŒmN†hVK`V[KˆQ[bmVO}ZVWlQ]Oˆ$oUgS•o
l
U
l
‚„•B ";#;/‚•mm‚
ˆVW\NVjh{nTMYQV’QONO’QOVWMQ]VŒmN†hVK`V[KˆQ]•mVW\N$¦URS$¦&QOv
OXQO"H…N$¦VWlQ]OˆVjh{n$oUNfVjh{n•o
l
U
l
‚„•B ";#;/‚•mm‚R•hVXm
{v•N
^’QOmtmpQTMYQV’QONO’QOVWMQ]VŒmN†hVK`V[KˆQ[bmVO}Z+
)tmpQTMYQV’QONO’QON†hVbQ]ZObQVK`V[KˆQ{v•NV’QOR“KOˆVW\NTMYQV’QO
NO’QOVWMQ]VŒmN†hQfVv‹Q]¢Q]gS+
iQNYQOVWLQ+
‚•B€


B€BB

€
"/



>>
%
j

===
YNO[bm+
‚•B€"5;"

"B€B

€
""



>>

j
n
===
iQNYQO[v“K+
‚•B€


B€BB

€
"/



>>
%
j
cc
===
iQVYZ+
‚•#55555

B€"BB

€
"

~~
"
>>
%
j
cc
===
y[\Q]NtQ]VO¢NNOMUŽQVW\N{ŽV’QOmtmpQTMYQV’QONO’QOVWMQ]VŒmN†hVlSQ
rnVK`V[KˆQ+

[ ]
∑
=
−+=
"


€‚•

S4
b^^jj
•
&
„œ€B
/
••;B!";#?/‚

€5BBBž•œ"5;"€B
"
••5B!";#?/‚

€?BBž
•œ€B
/
••B!";??/‚

€5BBBž•œ55555#••BH";#?/‚

€?BBBž
•

&
„?u?"?u??u;B•mm
"
‚
^’QOmt{MQaOYQ]M…QN†hVK`V[KˆQ+
4
]U
j

^
=
HqKm}ZrKLQQ-mVWLQriQVYZ+U„U
l
„";#?/mm
•
??"???;B
";#?/
%
]U
 =
•

„#u##uBmm
%
]U


HqKm}ZrKLQQ-mVWLQriQNYQOVWLQ+U„[!U
l
„BB!";#?/„#B/•mm‚

•
??"???;B
#B/

]U
 =
•

„u5Bu?/Bmm

]U


]!^_!JI TURR#
?
Đ n môn hc thit k cu thp 
. L; UTVO
 ].E/^U*_N/'U-6
B B;
^
^
j
j
≤ ≤
WlQ]{f+

U
!mtmpQTMYQV’QON†hmsVN”VVO}Z{…KR“KVW\NVO¥Q]{¢Q]VWlQ]msVZO¥Q]
N†hriQr\Q]


UN
!)tmpQTMYQV’QON†hriQNYQONO|MQ}QN†hmsVN”VVO}ZTMhQOVW\N{¢Q]
VWlQ]msVZO¥Q]N†hriQr\Q]
( )
  
"
B€BB B€"BB "B€B
€œ ž• ;#"555#
  
^
j >>= + =
( )

"
B€BB
"/BBBBBB

^
j >>= =
eU
"/BBBBBB
B
;#"555#
^
^
j
j
= =
•KkMaKˆQ
B B;

^
^
j
j
≤ ≤
VO¤hm¬Q
 `2V<-'/a,;<-;b-6YcV*'TR
OKNf]wV‡Q]NvwQ][jNuNtQ]VO¢NaKŽmVWh+
š

5##



g
 c
≤
“K[bmVO}ZuVWlQ]]KhK{lqQVOKNtQ]VOXNOKkMNhlriQr\Q]NO|MQ}Q+
BB ";#?/ B 5?/ • ‚
  
 A ^  >>= − − = − − =
)tmpQNfOˆx…[lViKVWjQ]]KhK{lqQ]ŒUWh›VWqQ]VOYK]K“KOqQNvwQ]{n+
[ ] [ ]
€ € /€#?/5/BB
U U
T T
η γ
= =
•
;"/"#/ T ] >>

=
•)
'
{v•NgzU]KYVW|mhoVWlQ]ZObQV’QOQnKg™N[lV¡QOViK‚
•
( )
u;u"/"u#/
#5;
u5Bu?/B

T
c T

= = =
eUVhNf+
€5?/ BBBBB
5?/ 5## #5/
B #5;
= ≤ =
•O¤h
.. 6RKSOP GH; ET
 IJ/7K-';ZL2-6'dU'(EUe;
W
f/a,;<-/J-';=*>-6
Opl{KkM"55N†h#HB/VhNf+
^“K[bmVWlQ]+
"BBB
"
"
?/BB

BB
mKQ € mho• ‚ mKQ €BB mho•B ‚ mKQ //B ?BB• ‚
 
?BB
?BB


? S n
Y
%
%   >>









   
= + = + = =
   
   


 
 



^“K[bmQ]lSK•[bmrKLQ‚+
]!^_!JI TURR#
;
Đ n môn hc thit k cu thp 
"BBB
?
?
"/B
?BB B BB
mKQ 5€ mho• ‚ mKQ 5€BB mho• ‚ ;BB mKQ #/
  "   "
#/B
pWlQ]ZOhQOhQ] ?BB

? n 
? S
Y
%  %
% 








   
= + + = + + = +
   

   


 
 


•r
p
„5/Bmm
'
'
''
.''
''
'
.' '
''
4#
''''
.
-
W
XQOB+K`V[KˆQ[bmgKLQO•Z
 H-'*NJ-/'N*()*Y(E-.(=-'QR-6g-'_-
zU[bmrKLQ{ŽV’QOVlYQur
p
„5/Bmm²ZObQVWv“NVh{¬NfNYNx…gKˆMN†h
[bmVO}ZVWlQ]Oˆ$oU•XQO"H‚gS+

x
„"?BBmm

U
l
„";#?/mm 
&
„?u?"?u??u;B•mm
"
‚
]!^_!JI TURR#
B
Đ n môn hc thit k cu thp 
'
?/Q.&9(-
'
''
':
''
8>Q&.
''
XQO+K`V[KˆQ[bmgKLQO•ZQ]”QOqQTMU{–K
LVtQ]riQNf
Tc

B
~
=
uVOpl{KkM5Bru#HB/VhNfQ„?
¤TMhrLVtQ]R‰Q]R³Vu[KˆQV’NOZObQrLVtQ]riQNYQO+

€ BB€5/B
 S ?
b  %= =
•
N
„BuBBBmm


'KˆQV’NOVO}ZNOMUŽQ{–KV•[KˆQV’NOrLVtQ]VWLQgS+
BBBB
?

 iA
b
b

−
= =
•
NHT[
„"/Bmm


ŽoYN{|QOmtmpQTMYQV’QON†hZObQ[KˆQV’NOVO}ZTMU{–KV•rLVtQ]R“KVW\N
VWMQ]O•hN†hQfuVhTMU{–KVOSQOOXQO{‹Q]KiQQOvxhM+OXQONO‘QOeVNfNOKkMNhl
gSV
x
„BB„BB•mm‚ VWjQ]VŒm]K‘Q]MULQ•VWjQ]VŒmriQNYQOrLVtQ]r¤TMh
RR‰Q]R³V‚ rkWnQ]gS
NHT[

"/B
r 
BB BB
 iA
b
−
= =
•r
NHT[
„B5mm•XQO"H‚
)tmpQTMYQV’QON†hZObQ[KˆQV’NOTMU{–KR“KOˆVW\NTMYQV’QONO’QOVWMQ]VŒm
N†hQfgS+


u
€BB
B5€BB
 
 iA
S iA
%
j
−
= =
•
xuT[
„#uumm
"

^|VW’VWjQ]VŒmN†hVlSQrnVK`V[KˆQgKLQO•Z{¬TMU{–KVWlQ]Oˆ$oUgS+

€ • BB‚
"?BB€";#?/ "/B€•BB BB‚
"?BB "/B
S   iA
 iA
S  iA
b ^ b A
^
b b
−
−
−
+ +
+ +
= =
+ +
•U
lHT[
„;"mm
^)tmpQTMYQV’QON†hVlSQrnVK`V[KˆQTMU{–KR“KOˆVW\NTMYQV’QONO’QOVWMQ]
VŒm&
N
UgS+
 
u
œ • ‚ € ž œ • BB ‚ € ž
iA 4  iA  S S iA  iA  iA
j j ^ ^ b j A ^ b
− − −
= + − + + + −

•
T[
„œ??"???;B••;"!";#?/‚

€"?BBž•œ#••BB•BB‚

€"/Bž
•
T[
„;?u"Bu?5?u/B•mm
"
‚
^)t[MQaOYQ]M…QN†hVK`V[KˆQTMU{–KVqKNYN{KŽmNbQV’QO¢Q]xMzVgS+
HqKrKLQ[v“KVK`V[KˆQ•m}ZriQVYZ‚+
]!^_!JI TURR#

Đ n môn hc thit k cu thp 
;?u"Bu?5?u/B
;"
iA
%

 iA
j

^
−
= = =
•
%



„B"u"BBu";?mm


HqKrKLQVWLQN†hVK`V[KˆQ[bmVO}Z+
;?u"Bu?5?u/B
BB ;"
iA


 iA
j

A ^
−
= =
− −
•



„#;uB?u#mm


HqKm}ZVWLQN†hriQNYQOrLVtQ]+
;?"B?5?/B
BB BB BB ;"
iA
 


 iA
j

A ^
−
−
= =
+ − + −
•
 


−
„"uBu;mm


 H-'*NJ-/'N*()*Y(E-.(=-'QRY@('_-
'
99
?/Q.&9(-
'
''
:&
''
''
XQO+K`V[KˆQ[bmgKLQO•Z[SKOqQTMU{–K
'KˆQV’NOVO}ZTMU{–KV•[KˆQV’NOrLVtQ]+
BBBB
 €?


 iA
b
b

−
= =
•
NHT[
„#/Bmm


Ž{‹Q]KiQVhTMU{–K[KˆQV’NOrLVtQ]RkmnVOXQONO‘QOeVu]K‘Q]MULQNOKkM
NhlRSVWjQ]VŒm•r¤TMhR‰Q]R³V‚uNOKkMWnQ]gS+
#/B
BB
 iA
 iA
S
b
%

−
−
= =
•r
NHT[
„5;mm•XQO"H"‚
)tmpQTMYQV’QON†hZObQ[KˆQV’NOVO}Z{v•NTMU{–KxlR“KVW\NQ]hQ]{KTMh
VWjQ]VŒmN†hQfgS+



€"B
5;€BB
 
 iA
iA
%
j
−
= =
•
T[
„"5BBBBBBmm
"

^jh{nVWjQ]VŒmN†hVlSQrnVK`V[KˆQgKLQO•Z{¬TMU{–KVWlQ]Oˆ$oUrhQ
{bMgS+
€ €• B‚
"?BB€";#?/ #BB€•BB BB‚
"?BB #BB
S   iA
 iA
S  iA
b ^ b A
^
b b
−
−
−

+ +
+ +
= =
+ +
]!^_!JI TURR#

Đ n môn hc thit k cu thp 
•U
lHT[
„##mm
"

^eUVK`V[KˆQTMU{–KNfOˆVW\NTMYQV’QONO’QOVWMQ]VŒmgS&¦UN†hQfgS+
 
œ • ‚ € ž œ • BB ‚ € ž
iA 4  iA  S iA  iA  iA
j j ^ ^ b j A ^ b
− − −
= + − + + + −
•
T[
„œ??"???;B••#"?H";#?/‚

€"?BB‚ž•œ"5BBBBBB••BB•BBH##‚

€#/Bž
•
T[
„#u;?5u?u5B•mm
"

‚
^)t[MQaOYQ]M…QN†hVK`V[KˆQTMU{–KVqKNYN{KŽmNbQV’QO¢Q]xMzVgS+
HqKrKLQ[v“KVK`V[KˆQ•m}ZriQVYZ‚+
#;?5?5B
##
iA
%
Y
 iA
j

^
−
= =
•
%
Y

„/uB?5u/mm


HqKrKLQVWLQN†hVK`V[KˆQ[bmVO}Z+
#;?5?5B
BB ##
iA

Y
 iA
j


A ^
−
= =
− −
•

Y

„#u;u?BBmm


HqKm}ZVWLQN†hriQNYQOrLVtQ]+
#;?5?5B
BB BB BB ##
iA
 
Y
 iA
j

A ^
−
−
= =
+ − + −
•
 
Y

−

„5u/uB#mm


.- )X 
)sVN”VQ]hQ]{KŽQOXQON†hNbMVOMnNglqKh‚iQ]"5N†h#HB/
% EhSR'X-;S-6,-6/'NYcV6(d,
"/ ˆx…ZOŒQr…Q]hQ]NOlmtmpQ•iQ]"5hH‚
^OK`Va`x‹rnQLQNOjQ


€
!
S
C
Y 
=
{ŽV’QOVlYQ
OpliQ]"5hHVOXVhNfNYN{KkMaKˆQYZ[\Q]gS+

BB ";BB
B BB
5BBB #BBB
"
S
%


Y
]
≤ ≤



≤ ≤


≤ ≤


≥

WlQ]{f+
„?BBmm+aOliQ]NYNOOhK[bmNO†
V
x
„BBmm+NOKkM[SUriQ
„"BBBmm+O|ZV’QOVlYQN†h[bm

r
„5+x…[bmNO†
eU{KkMaKˆQYZ[\Q]VO¤h§
^ˆx…mtmpQNOl[bmVWlQ]aOKmnVgSQopNOzVViK+
B
B" B B" B
B

?BB ?BB
• ‚ BB5 € € BB5 € €
"BB  "BB "BBB
!
j

T
S
C
 
>!
Y Y
 
       
= + = +
 ÷
 ÷  ÷  ÷  ÷
       
 
•
• ‚ B"
j
T
>! =
^ˆx…ZOŒQr…mtmpQNOl[bmVWlQ]aOKOhKgSQopNOzVViK+
B
B5 B B5 B
B

?BB ?BB
• ‚ BB#/ € € BB#/ € €
;BB  ;BB "BBB
!
Tj
T
S

C
 
>!
Y Y 
 
       
= + = +
 ÷
 ÷  ÷  ÷  ÷
       
 
•
• ‚ B/
Tj
T
>! =
]!^_!JI TURR#

Đ n môn hc thit k cu thp 
"/ ˆx…ZOŒQr…Q]hQ]NOlg™NN”V•iQ]"5hH‚
-OqmRKYZ[\Q]Oˆx…ZOŒQr…NOlg™NN”VQOvR“KOˆx…ZOŒQr…Q]hQ]NOlmt
mpQuVOLm{KkMaKˆQgS
; 
"B B
!
C≤ ≤
x°aKŽmVWhxhM
^ˆx…ZOŒQr…R“Kg™NN”VNOl[bmVWlQ]aOKmnVgSQopNOzVViK+
?BB
• ‚ B5 B5

#5BB #5BB
j


>! = + = +
•
• ‚ B5
j

>! =
^ˆx…ZOŒQr…g™NN”VNOl[bmVWlQ]aOKOhKgSQopNOzVViK+
 
?BB ?BB
• ‚ B B
#5BB B#BB #5BB B#BB
Tj

 
>!
   
= + − = + −
 ÷  ÷
   
•
• ‚ B"
Tj

>! =
% EhSR'X-;S-6,-6/'NYcV;(=-
Z[\Q]ZOv‹Q]ZOYZ{•QrPU

XQO+vwQ]iQOOv›Q]ZOiQg™N[bmrKLQVOplZOv‹Q]Q]hQ]NbM
•)nVgSQNOzVViK‚
"/ ˆx…ZOŒQr…Q]hQ]NOlmtmpQug™NN”VR“KViKVWjQ]gSQ
u
 ?BB
•  ‚ € € €B""/€
 BBB
g
  T 
> !
ω
 
= =
 
 
•
u
•  ‚ B
g
  T
> ! =
•mnVgSQNOzVViK‚
"/ ˆx…ZOŒQr…Q]hQ]NOlmtmpQug™NN”VR“KViKVWjQ]Q]vwK
u
?# B""/ /BB
•  ‚ € € €
 /BB
g
Y  T Y
> !

ω
+
 
= =
 
 
•
u
•  ‚ B"
g
Y  T
> ! =
•mnVgSQNOzVViK‚
"/ ˆx…ZOŒQr…Q]hQ]NOlmtmpQug™NN”VR“KViKVWjQ]op
u

•  ‚ € €B

g
4?  T
> ! =
•
u
•  ‚ B
g
4?  T
> ! =
•mnVgSQNOzVViK‚
]!^_!JI TURR#
"

Đ n môn hc thit k cu thp 
% <-6*P-6'QR'EhSR'X-;S-6,-6eV6f.\--'^*/'N'N_**<(
iKVWjQ]
'bmuQnKg™N
…gSQ
NOzVViK
&pViK
&pOhK
VW\N
iKVWjQ]
gSQ
iKVWjQ]
Q]vwK
'bm
VWlQ]
)tmpQ  B/ B/ B/ B/
™NN”V  B5 B5 B5 B/
'bm
rKLQ
)tmpQ  B B B B"
™NN”V  B B B B"
.: 6RYF!NGEYFGZ
WjQ]gv•Q]riQVOŒQa`VNzMgzUVOpliQ]/H#HB/
Ž{‹Q]KiQaOKV’QOVlYQuV¡QOViKNlKQOvZOŒQr…{kMVWLQNYN[bmNO†aOtQ]
ZOŒQrKˆV[bmVWlQ]OhU[bmQ]lSK
^“ZZO†+'Š„œ#BBB€#/ž€œ/€B
H/
ž˜5•'Š„;#˜mm
^iQmsVNbM•rhl]•mNiR‰Q]R³V‚+
'


„œB/BB€BBž€œ/€B
H/
ž˜5•œ"BB€BB€/€B
H/
ž
•'

„;#/˜mm
^hQNhQx”V+'

„'

¦•'

¦¦„BB5/•B//•'

„B5˜mm
WlQ]{f+
OhQOghQNhQ+'

¦„€œBB5/€ž˜5„BB5/˜mm
nVghQNhQ+
'

¦¦„œ?€ž€œ•5?€/B‚••/B€?/B€B‚ž€œ#?/€B
H/
ž˜œ5€"5BBž
•'


¦¦„B//˜mm
^krnOSQO•rhl]•mNirfRŸhRSVvwQ]rLVtQ]‚+
'

„€œ•/BB€BB‚••5/B€/B‚••BB€BB‚ž€œ/€B
H/
ž˜5
•'

„B"˜mm
^WjQ]gv•Q]riQVOŒQ[bmNO†•rhl]•mNixvwQV‡Q]NvwQ]‚+
'
"
„œ"?BB€/€B
H/
ž•€œB"B€"B€Bž€/€B
H/
˜"BBB
•'
"
„B#˜mm
^WjQ]gv•Q]gKLQa`VQ]hQ]+
KLQa`VQ]hQ]NOjQVO}Z#o#5o;/NfaO…Kgv•Q]VWLQmnVm}V[SKgS"/
a]˜m„B"/˜mm•'
/
„B"/€œ#"B€"€/€•#5B€€/€ž˜œ5€"BBBž
•'
/
„B"˜mm
^WjQ]gv•Q]NYNVKˆQ’NONtQ]NnQ]]KixyVWlQ]Vv‹Q]ghKVWLQZObQVOMnNgkrn

OSQOgS+
'
5
„€œB€B
H
)-hž€œ/BBmmž˜5•'
5
„B/˜mm
^¡QOViKVYN[\Q]gLQ[bmNO†•aOtQ]aŽg“ZZO†‚+
'„
5



U
=
∑
„;#/•B5•B"•B#•B"•B/
i"0jVV
]!^_!JI TURR#
/