Calculation of Auto-climbingsystem for Cao Lanh bridge.doc

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

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；

&age ) of '(




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：

&age of '(




A%ial force（N） hear force（N）

Bending moment（N.m） #eformation

&age * of '(




tructural e"ting

&age 7 of '(




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

&age 1 of '(




%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 '(




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 '(




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 '(




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 '(

Calculation of Auto-climbingsystem for Cao Lanh bridge.doc

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