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Wuhan WACO Formwork Co., Ltd Cao Lanh Bridge in VN
Wuhan WACO Formwork Co., Ltd
)('*-(+-(
1. Standard and regulations for calculation:
《 AAO L/F# )(') Bridge#e"ign0ecification" 1th $d 234》
《 AAO )((5 6 3nit"》
《))CN)5)-(789OC》
Auto-climbing content
Auto-climbing "!"tem contain": Anchor "!"tem, Wall attached de;ice, /ail, Bracket,
Formwork and !draulic "!"tem. A" follow":
2. Calculation parameters:
.' &arameter" of bracket:
#i"tance of ) bracket":<7m;
eight of bracket: ')m;
Width of 0latform:u00er ='m ,main =).>m① ② ,h!draulic =).>m③ ,lift④='.5m,
/ated 0re""ure: '1?0a;
C!linder tra;el: ((mm;
/ail "te0: ))7mm@
#i"charge of 0um0ing "tation: '.1Lmin;
"0eed: about )((mmmin;
/ated thru"t: >(N;
!nchroniation error : <)(mm;
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8/10/2019 Calculation of Auto-climbingsystem for Cao Lanh bridge.doc
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Wuhan WACO Formwork Co., Ltd Cao Lanh Bridge in VN
Climbing "0eed: 1mhour ;
6nclination: D'>E;
&ouring height *m;
Auto-climbing can be climbed and bear force when the concretestrength achieve 10MPa.
.) &latform and load:
u00er <'Nm① ),main <Nm② ),h!draulic <'.7Nm③ ),lift <(.57Nm④ )
. Calculate ;alue:
Face u0 "ide ma% angle i" E() bracket"), formwork height *.)m.
tructural "teel "hear de"ign ;alue:FV=')7?0a@ 0ulling force de"ign ;alue:
F=)'7?0a@the formwork width for ' bracket i" .)7m a" the drawing".
6n fact, the con"truction load i" ma% when 0ouring on face u0 "ide.
. !se software SAP anal"#e:
$.1 %orce diagram
Bar No. Load(N)
Note: No.',),,*,7 i" im0ortant frame need checking alone.
*.) 3"e A&)((( calculate:
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Wuhan WACO Formwork Co., Ltd Cao Lanh Bridge in VN
A%ial force(N) hear force(N)
Bending moment(N.m) #eformation
&age * of '(
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Wuhan WACO Formwork Co., Ltd Cao Lanh Bridge in VN
tructural e"ting
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Wuhan WACO Formwork Co., Ltd Cao Lanh Bridge in VN
urface "tre""(N)
*. A%ial,bending,"hear of im0ortant frame a" follow":
NO. A%ial(N) hear (N) Bending(N.?
)
#eformation2mm4
' *' )> -* (
) -'1 )) -7 (
-*' ( ( (
* -'7 ( ( (
7 -'* -1 - )
*.* tabilit! checking for "tre""ed frame.
NO., *, 7 i" "tre""ed frame, checking a" follow"
NO
.
0ec. A%ial2N4 ectional
area2mm)4
Calculated
length
2mm4
/adiu" of
g!ration
2mm4
lendern
e""
ratio24
tabilit!
factor2G
4
tre""
2Nmm
)4
H'*(%7 *'((( )')(( '(( *5 17.+1 (.>7+ ).
* H55.7%* '7((( >+> )(( )7 +) (.1++ )*
7 )-')IJ '*((( (5) ((( 7( 1( (.>(5 7.1
he "lenderne"" ratio i" le"" than 0ermit '7( and "tre"" le"" than de"ign ;alue
)'7Nmm).SA%&
trength checking for NO.', 7
NO.' i" IJ'1K, "ectional area i" *+( mm),"ection factor i" W=)'1(((
?a% "hear "tre"": =)>M'(((*+(=1.*2Nmm)4
?a% bending "tre"":=?W=2*M'((((((4)'1(((='>.72Nmm)4
J2')74) 2)'74)I')=(.'<' SA%&
NO.7 i" IJ')K, "ectional area
i" (5).* mm
),"ection factor i" W=''7*((
?a% "hear "tre"":=1M'((((5).*=) 2Nmm)4
?a% bending "tre"":=?W=2M'((((((4''7*((=)12Nmm)4
J2')74) 2)'74)I')=(.')<' SA%&
#eformation of e;er! frame i" le"" than 0ermit ;alue b! A& checking.
*.7 Force of "u00ort
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Wuhan WACO Formwork Co., Ltd Cao Lanh Bridge in VN
%orce of support
On anchor 0o"ition: the horiontal force i" )+N;the ;ertical force i" 1+N;
On wall attached de;ice: the horiontal force i" )*N;
#e"ign 0ull force of "ingle anchor i" '7(N, "hear force i" '((N SA%&
$. Anchor and important frame:
7.' Anchor "!"tem
#e"ign 0ull force of "ingle anchor i" JFtI ='7(N, "hear force i" JF;I ='((N.
7.'.' &ullout force of concrete:
Calculate a" the concrete broken when anchor 0late 0ull out.
&age 5 of '(
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Wuhan WACO Formwork Co., Ltd Cao Lanh Bridge in VN
here are tangential "tre"" s
and ;ertical "tre"" δs
:
( )sin cos s s F A τ α δ α = +
( )sin
h A
R r
π
α
=
× +
br
π = ; R h ctg r α = × + ,when bh in (.'+~'.+,P=*7E,QF=(.()( f c,
( )2 22 0.0203c 45 0.1 0.9
sin 45 2c c
F f h tg bh f h bhπ
π ×
= × + = + ÷ ÷
o
o
here: f cRRRRR#e"ign of concrete com0re""i;e "trength ;alue("elect
C(,fc='*.Nmm))@
hRRRRRhe height of concrete cone(7(mm)@
bRRRRRhe length of anchor 0late('((mm).
o. F=(.'f c 2(.+h)bh4=(.'S'*.S2(.+S7()'((S7(4S'(-=)(>N
&ullout force of concrete i" F=)(> N TJFtI='7( N. SA%&
7.'.) Concrete local com0re""ion:
According to《Code for de"ign of concrete "tructure》:
ln1.35
l c l c F f Aβ β ≤
l b l A Aβ =
here FL R#e"ign of concrete local com0re""ion ;alue(N)
f c R#e"ign of concrete com0re""i;e "trength
;alue('*.Nmm))
UCRConcrete inten"it! influence coefficient((.+*)
UlRConcrete added coefficient of "trength())
Al RConcrete local com0re""ion area(mm))
AlnRConcrete local com0re""ion net area(mm))
AbRConcrete local com0re""ion calculate area(mm))
On anchor 0late:
Aln= .'*S27()-'()4 =571mm)
&age > of '(
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Wuhan WACO Formwork Co., Ltd Cao Lanh Bridge in VN
F<'.7UCUl f C Aln ='.7%(.+*%)%'*.%571=)5>JF;I='7(N. SA%&
On climbing cone:
Aln ='*+'>mm) (contact area on bottom of climbing cone with concrete )
F<'.7UCUl f C Aln ='.7%(.+*%)%'7%'*+'>=715N>JF;I='7(N. SA%&
7.'. en"ion bolt:
?aterial:*(cr
he ten"ion bolt i" ?1,'(.+ le;el. com0re""ion "trength, ten"ile "trength, bending
"trength in 《?echanical #e"ign ?anual》 i" f=7((Nmm),f V='( Nmm).
effecti;e area i": 2
804e A mm=
hear :
100V KN = ,
3
2 2
3
100 10124 / 310 /
0.804 10 v
V
N mm f N mm Aτ
×
= = = < =× . SA%&
&ull force:
3
2 2
3
150 10186 / 500 /
0.804 10 v
F N mm f N mm
Aσ
×= = = < =
×. SA%&
$ui;alent "tre"":
2 2 2 2
176 1323 3 0.79 1500 310 500 310
σ τ + = + × = < ÷ ÷ ÷ ÷
. SA%&
&age + of '(
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Wuhan WACO Formwork Co., Ltd Cao Lanh Bridge in VN
hread bearing of ten"ion bolt:
he length of thread i" 1(mm,0itch i" *mm.effecti;e bearing area i" Ae='+7mm),
=NAe='7(((('+7=*5Nmm)'(Nmm). SA%&
7.'.* ie rod:
Calculate the 0art of tie rod contact with concrete 2#)(,L=((mm4.
?aterial i" "teel *7K@ de"ign "tre"" i" 77 Nmm).
en"ile:
la='.'PMdMf !f t
here laRRAnchorage length
'.'RRcorrection factor of anchorage length
PRRhe "ha0e coefficient((.'*)
dRRNominal diameter ()(mm)
f !RR#e"ign "tre""(77Nmm))
f tRR#e"ign of concrete com0re""i;e "trength ;alue('*.Nmm))
9et laX51mm,but anchorage length in fact i" '1(mm,"o the ten"ile le"" than de"ign
"tre"". SA%&
hread bearing of tie rod:
he length of thread i" 1(mm,0itch i" 1mm. effecti;e bearing area i" At=11(mm),
F=)(M)()MY*X'((N
=FAt='7)Nmm)77Nmm). SA%&
7.) hear force of bearing 0in:
#e"ign "hear force of 0in i" )>(N."ection area i": A=.'*M)(M)(=')71mm)
teel *7K de"ign "tre"" i" 77Nmm),"hear force i":f V =77M(.7>=)(1Nmm)
here are two "hear "urface:
F;=)%')71%)(1%'(
-
=7'5NT)>(N. SA%&
&age '( of '(
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