- Ampllfied vertical axle load.. Loads of the strength linit state.. Verttcal load wheel lodd - Expansion joints shall be designed to resist the load combination for Strength I limlt sta
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Item Ens Date Sign
Design 4l2tl2o16 T.D'T fircurenolr snsrr oF FTNGER ExpANsto\
/ lotNT vHF-c8o
Check Revised
1 Inrnrt parameter.
- Finger expansion joint capacity
- Lenqth of tooth ofthe expansionjoint
- Thickness of expansion joint
- Width of looth of the expansion joint
- Yield srength ofsteel
80 120 30 63
345 Mpa
- Dynamic coefficient.
- Ampllfied vertical axle load
- VerUal load for wheel
(LRFD, article 3.6.1.2.3) (LRFD, article 3.6.2-1)
Fv,Me=F,x(1+IM)
h
b
(LRFD, article 14.s.7.2.3)
2 Loads
2.1 Loads of the strength linit state
a Verttcal load (wheel lodd)
- Expansion joints shall be designed to resist the load combination for Strength I limlt state wich is specified in table 3.4.1-l for simultaneous
application ofverticaland horizontal axle loads specified inArticle 14.5.7_2, distributed as specified in Articte 14.5.7.3
- The vertical load for strength design shall be the desiqn tandem axles specified in Article 3.6.1.2.3
b Horizontal load (wheel loads)
- The horizontal load for strength limit state design shall be 20olo of amplified verticat axte load
- Horizontal load for axle
- Horizontal load for wheel
2.2 Loads for Fattgue linit state
a r'i trong th;ng dhq.
- As per Article 14.5.7 2, the system shall be designed lo resist the simultaneous application ofvedical and horizontal loads from a tandem axle
As specified in Article 14.5.7.2.1, the appropriate axle for fatigue design is the largest axle load from three-axle design truck specified
6t s /ca
j [,,
s
Trang 6- This axle has a gross weiqht of 142 kN As per 14.5.7.2.1 this axle shall be considered as the total
design load consists of two 71 kN axles spa.ed at 1200mm
- Vertical axle load
Dynamic coefficient
- Amdified verticalaxle load
- Vertical load for wheel
- The horizontal load for strength limit state design shall be 20olo of amplified vertical axle load
- Horizontal load for axle
- Horlzontal load for wheel.
3 Calculation of th€finger expansionjoiht.
+ Load modifier fador:
load on a tandem axle Therefore the actual
M=
(LRFD, article 14.5.7.2.3)
a:
io2o5,
'7-,rPialG 'oYY(
PUON
iNri l
t':-(F r
,:i
3.7 Checkirrg streDgth limit sta@
- The total force effect shall be satisfied the formula as follows:
Shrx grx Q < FR" (LRFD 1.3.2.1-1)
- Calculated vertical load 60r wheel at the streng$ limit state
W6dhe = hxg x Wvs,Anp W,*,e.p
+ Load factor for strength limit state S
+ Load modifrer factor: h = hD x hR x h h
- The average stress from acting on the wheelsurface expansionjoinE:
+ Surface area subjected to wheel in the most unfavorable circumstances: S
( Be calculated in the worn case when na,yimum expansion )
- Calculated horizontal load for whe€l at strength limit state.
DH,.!.A.D = h x g x DH"s.bo
185.70
t.75
1.1
u737.7
2207.7
KN
+ Load factor for strength limit siaie ( LRFD table 3.4.1-1 )
'The average stress from acting on fle wheel surface expansion joints:
+ Suface area subjeded to wheel in the most unfavorable circumstances:
+ The average stress:
1.75 1.1
a4fit.7
441.4
mm2 kN/m2
mm2 kN/m2
Trang 7in the worst case when maximum expansion )
- llaximum moment at point A
+ Tooth size under the effect of load
(Be cahulated in the wost case when iaximum expansion)
- Tooth width at the position of the largest lYoment:
- Tooth length at the position of the largest l4oment:
- Section mudulus of the toe of tooth
- Checkinq svess at the toe of tooth
sd=Ma/Ws s"=fxFY
sd = 43259.9s kN/m'] <= sn = 345000
Where: Resistance factor (LRFD 6.5.4.2)
3,2 Ch*kirrg fatigue limit state,
- Calculated vertical load for wheel at the fatigue limit staLe
W,F he=hxgxW"F,aD
+ Load fador for futigue limit state ( LRFD table 3.4.1-1 )
l4a kN.m
B=
q2=
Df=
0.0630
0.00000945 ml
43259.95 kN/m'z
OK
1
46.59
o.75 1.0
KN
+ Load modifier factor:
- The average stress from acting on the wheel surface expansion joints:
+ Surface area subjected to wheel in the most unfavorable circumstances:
+ The average stress:
( Be calculated in the worst case when maxinun exparEion )
- Calculated horizontal load for wheel at the fatigue limit state
DHr.r,he=hxgxDHr,hp
+ Lo6d fador for fatigue limit state ( LRFD table 3.4.1-1 )
+ Load modifier factor:
10854.16 kN/m': =< FrBl 2
KN
- The average stress from acting on the wheel surface expansion jointsr
+ Surface area subjected to wheel in the most unfavorable circumstances:
+ The average stress:
( 8e cahuhted in the wo6t case when haximum expansion )
- Ilraximlm moment at point A
+ Too$ size under the effect ofload
(Be calculated in the worn case when taximum expansion)
- Tooth width at the position of the largest lYoment:
- Tooth length at the posiiion ofthe larqest Moment:
- Section modulus of dle toe of tooth
- Checking stress at the toe of tooth
Df=rya/Ws
- Expansion will be designed with detail category B
9.32
0.75 1.0
84137.1 110.8
0.10
0.0630 0.0700
0.00000945
mm2 kN/m2
kN.m
I\4A
10854.16 kN/m'z
OK
0.41
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\) Ln sou - ruY LoAN Item Ens. Date Sign.
Design Huy Chung 4l2rl2ot6 Huy Chung
/ EXPANSIoN lotNT vHF-c8o
Check Revised
\ \3Eip9
r Th6ng sd irau Y;o
- Kha nSng chuydn vi cia khe
- ChiEu dii ch6n r;ns
- ChiEu day t5m khe co 9i5n
- BE rOng ch6n r6ng Oai vi tri l,loment udn ldn nhat)
- Gidi han chey cira th6p t5m khe co gi5n
2 Tiii trgng
2.1 lii trong d TTGH CD
a Tiii tu)ng th;ng dtihq (wheel load)
- Khe co giSn s6 aludc thidt k6 dd ch6ng lai t6 hdp tai trong d TTGH cD 1 dddc x5c dinh trong bang 3.4.1-1, kic dung d6ng thdi ciia Bi trong
d[hq v] nganq cia truc taitrong dudc x6c alinh kong muc 14.5.7.2, ph6n bdtiitrong irong mlrc 14.5.7.3
- Teitrong theng dunq tronq thi6t k6 TT GHCD s€ lA xe 2 truc thi6t kd dddc x6c dinh trong muc 3.6.1.2.3
=80mm
h=30mm b=63mm
- Tai trong truc th;nq dung
- He s6 xung kich
- Tii tronq kh6ch dai
- T;l trOng cho 1 biinh xe
b Tei bgng ngang
- T:itrong nqang dTTGH CD dddc l5y $ng 20olo taitrong thEng dfhq
- Tei trong ngang cho 1 truc bijnh xe
- Taitrong nganq cho 1 b;nh xe
2.2 Tii trpng d TTGH n dt
a Tiii trong ding dithg
(LRFD, article 3.6.1.2.3) (LRFD, ati€le 3.6.2-1)
F,,hp=F,x(1+IlY)
F"s
IM
F"s, mp W,s,a.p
(LRFO, article 14.5.7.2.3)
'NhUtrong muc 14.5.7.2, khe co gi6n sE dudc thiet k6 ird ch6ng laitiic dunq dtng thdi cia taitronq dtnq vi taitronq nqanq tit xe tAi2 truc
Muc 14.5.7.2.1, Lii trong truc phi hdp cho thiei kA d TTGH mdi l; truc ldn tir xe ba truc dudc x6c itinh trong muc 3.6.1.2.2
m, k$ SS
Trang 9- Truc nay c6 tai tlong li 142 kN I,luc 14.5.7.2.1 truc nay s6 dridc xem nhd le t6ng tei $qng ciJa xe haitruc Do vey tai trong th(c tA cia truc
sE bao g6m 2 tryc 71 kN khoenq cach le 1200mm
- Tditrong truc theng duhg
- He s6 xlng kich
- T6i trong kh6ch dai
- Tei trong cho 1 b6nh xe
b Tii trong ngang
- Teitrong ngang dTTGH m6idudc l5y b;ng 20olo taitrong thing dung
- Tai trong ngang cho 1 truc biinh xe
- Taitronq ngang cho 1 biinh xe
3 Kiem toin khe co giSn ring luqc.
It4
r515
1'Y CO
:NG
,i xi
.i tru
IP
3.1 Kiein to,in d |TGH Co
- T6ng lLlc tinh todn phai thda m6n c6ng thdc sau
Shix gix q < F&
- T;itrong dung tinh to6n cho I biinh xe dTTGH CD
Wlsd,anp = hxgxWvs.rrp
(LRFD r.3.2.1'1)
185,70
t.75
1.1
ut37.t 2207.1
KN
Trong dd:
+ H6 s6 tai trong d TTGH Co
+ HE s6 diEu chirh iai irong
h=
q2=
q2=
- dng suit trung binh til binh xe tac dung l6n bE m;t khe co giSn:
+ Di6n tich bE m6t chiu t6r dung cta bSnh xe trong TH bet ldi nhat:
+ fng suet tung binh:
( Dndc dnh trong truihg hdp b;t tdi nh;t khi khe giAn tA da)
- Tei hTng ngang tinh toiin.ho 1 b6nh xe dTTGH CD
DH6!.Mp=hxgxDHvs,amo
Trong d6:
+ HE s5taitronq dTTGH CD ( LRFD table 3.4.1-1 )
+ H6 s6 dieu chinh tei trong h = hD x hR x hr
- Ung su6t trung binh tir b;nh xe t6c dung l6n b6 m5t khe co giSn:
+ Di6n iich bE m;t chiu tiic dung cira b6nh xe vong TH b6t ldi nharl
+ Uns su5t truns binh:
84137.08 447.428
mm2 kN/m2
mm2 kN/m2
1.75 1.1025
S.9r-l-oS
Trang 10Dndc dnh trong tnldng hdp b;t ldi nh;t khi khe gien 6t da)
- 116 men ldn nhSttaididm A
+ Kich $Udc chen r;ng chiu tiic dqng cLla tai trong ph6n b6l
(linh cho -IH bet bi nh;t)
- ChiEu ronq ch6n r5n9 rai vi rri tyoment ldn nhet
- Chi6u dei chen r;ng tai vi ni l4oment ldn nhAt
- M6 men khiing u6n cia mAt dt chan r;ng
- Kidm toAn ing suet tai chan r5ng khe co girn
sa=lvlr/ws
s.=fxFv
C6 sa = 43259.95 kN/m'z <= \ =
Ironq d6: He sd sljc khiing
3,2, Kidm toiin d TTGH noi
- TAi trong dfrhg tinh toiin cho 1 biinh xe d TTGH m6i
W"ra,mp=hxqxW"./,",
345000 (LRFD 6.5.4.2)
0.0630
0.00000945
43259.95 kN/m,
345000.00 kN/m'z
OK
1 14a
q3=
8=
46.59
0.75
1
84137.1 553.8
9.32
0.75
1
84137.1 110.8
0.10
mm2 kN/m2
KN
mm2 kN/m2
kN.m
KN
- tJng su6t trung binh dJ bdnh xe tiic dung l6n bE m6t khe co giSn:
+ Di6n tidr bE m;t chiu tiic dung cua biinh xe trong TH b6t tdi nhAt:
+ tJnS sudt trung binh:
( OUtt t/nh trong tndng hdp bit ldi nhet khi khe gi4n iii da)
- Taitrong ngang tinh to;n cho 1 biinh xe d TTGH Moi
DHr,r,hp=hxgxDHr.Mp
Tronq d5:
+ H6 s6teitrong dTTGH lldi
+ HA sd dlEu chinh t;i trang
Trong d6:
+ He s6 tai trqng d TTGH Mdi
( LRFD table 3.4.1-1 )
( LRFD table 3.4.1-1 ) + HC s6 di€u chinh tai trong
- tJng su6t trung binh dl b5nh xe tiic dung len bE mEt khe co gi6n:
+ Di6n tich bE m;t chiu 6c dung coa biinh xe trong TH bir ldi nhet:
+ dnq su5t trunq binh:
( Dndc fl'nh trong tUdng hdp b;t /dt nhit khi khe gien tA da)
- 146 men l6n nhet tai di6m A
+ Kich thudc chan r;ng chiu tiic dung cia tai trong ph6n b6:
(Tinh cho TH bat td nh;t)
- ChiE! rong chan r;ng tai vi tri rltoment tdn nh5t
- ChiE! dai ch6n rtsng tai vi tri Lloment ldn nhat
- 146 men khing u6n cia mit cit chan r;ng
- rcdm td;n ing suet taj ch6n r5ng khe co gi6n
Df=ry^/Ws
- Khe co 9i6n dudc thi6t kdv6isr'c khang mdi lo?i B c6l
I14a
0.0630
0.00000945
c6 Ef = 10854.16 kN/m'z =< FBl 2 55000
10854.16 kN/m'z
OK
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