Dự án đầu tư xây dựng cầu Hưng Hà và đường dẫn hai đầu cầu thuộc tuyến nối cao tốc Hà Nội Hải Phòng với cao tốc Cầu Giẽ Ninh Bình có điểm đầu thuộc xã Phương Chiểu, TP Hưng Yên giao cắt với Quốc lộ 39 (Km38+732QL39); điểm cuối giáp nối với đường dẫn cầu Thái Hà (Km1+028,01) thuộc xã Bắc Lý, huyện Lý Nhân (Hà Nam); Tổng chiều dài của dự án 6.165,77m. Tổng mức đầu tư dự án là 2.871.552 triệu đồng.
Trang 1The socialist republic of viet nam Céng hßa x· héi chñ nghÜa viÖt nam
Ministry of transport
Bé giao th«ng vËn t¶i Project management unit no.1 Ban qu¶n lý dù ¸n 1
Hung ha bridge construction project
Dù ¸n x©y dùng cÇu hng hµ - -
Calcualtion sheet Construction scaffolding of k0 Segment of the pier p25
Trang 2The socialist republic of viet nam Cộng hòa xã hội chủ nghĩa việt nam
Ministry of transport
Bộ giao thông vận tải Project management unit no.1 Ban quản lý dự án 1
Hung ha bridge construction project
Dự án xây dựng cầu hưng hà - -
Calcualtion sheet Construction scaffolding of k0 Segment of the pier p25
Bảng tính
đà giáo thi công khối đỉnh trụ
Trụ P25
tư vấn giám sát-consultant Nhà thầu-contractor
Ha Noi, 01/2017
Trang 3I general introduction
- Hung Ha bridge is located at KM28+335.105, a part of Project of Hung Ha bridge and approach roadconstruction connecting Ha Noi - Hai Phong expressway and Cau Gie - Ninh Binh expressway
II Design standard:
+ Design procedure of bridge construction and auxiliary equipment 22TCN - 200:1989
+ Design standard of bridge and culvert 22TCN-18-79
+ Design draflange of Hung Ha bridge
+ Other document (it will be cited when applying)
III Material
- Shaped steel material
calcultion sheet of scaffolding for k0 construction
A GENERAL
hung ha bridge construction project
item : main bridge construction
- Load applying to triangle scaffolding system of K0 for 1 cantilever arm:
Notation Unit QuantityFlange of girder
Unit weight of Concrete
Load cause people and slight equipment
Load of structure and auxiliary structure
Load cause pouring and vibrating concrete
Length of flange
Concrete volume of left web
Concrete weight of left web
Concrete volume of right web
LoadLoad of structure which being construction
Item
Trang 4Inside scaffolding (cantilever)
Inside formwork (cantilever)
Weight of left web
Concrete volume of right web + cantilever
Weight of cap concrete
Concrete volume of left web + cantilever
Volume of Bottom concrete
Weight of bottom concrete
Concrete volume of left web
Concrete weight of left web
Weight of right web
Concrete volume of right web
Concrete volume of middle web
Concrete weight of right web
Concrete volume of 1 cantilever end
Volume of cap concrete
Concrete weight of middle web
- Checking of rigidity of separate part of scaffolding system under the affect of concrete weight
and gravity load of itself component
- Checking of deformation after checking of rigidity;
- Checking of stability for compression bar of scaffolding system
with load and load combination which shown in table 19 - TCVN 200-89
3 Checking items:
- (i) Calculation of internal force and checking load capacity of separate elements of scaffolding system
- (ii) Calculation of internal force and checking load capacity of high strength bar PC32
- (iii) Calculation of internal force and checking load capacity of pile cap (pier column)
under effect of tensile force of bar PC32
Inside formwork (cantilever)
Scaffolding shoring bottom formwork
Bottom formwork
Scaffolding at 1 flange side
Formwork at 1 flange side
Trang 5I general layout
b Checking of structure
C1 H350x350x12/19 C1 H350x350x12/19
Triangle flame Bar N2
Triangle flame Bar N1
I200x100x5.5/8
L = 12 m B3Lan can thép Parapet
+21.619
Thanh PC 36 Bar PC36
I200x100x5.5/8 B11
L = 1.579 m
B8 I200x100x5.5
L = 5.34 m
L1 L100x100x10
L thay đổi T6
L = 5.904 m H300x300x10/15
L = 5.610 m B1 2I500x200x10/16
L = 20.0 m
Trang 6- Expanded triangle frame structure of pier is final bearing structure of scaffolding for K0 structure
- The bearings of triangle frame work relying on friction with pier column under affect of PC32 tensile force
- Total 6 triangle frames deviding equally for 2 cantilever flanges
3 Construction sequence
- Setting triangle frame and scaffolding for bottom formwork
- Setting scaffolding, formwork for 2 flanges
- Pouring concrete for K0 segment stage 1
- Pouring concrete for K0 segment stage 2
- Pouring concrete for K0 segment stage 3
II Calculation of beam system t6 - I150x75x5/7
- Load applying to beam T6 include:
+ Uniform load of flange concrete
+ Uniform load of flange formwork
- Split 1 band width L=1.5m:
- Load of flange concrete at each section matched to flange thickness:
+ Flange thickness h3=0.25 m Pbt3 = nbt.(L.h3).bt = 1.03 (T/m)
nbt : overload factor of concrete load nbt = 1.1
bt : Unit weight of concrete bt = 2.50 (T/m3)
B4 B8
B5 H300x300x10/15
B6 H300x300x10/15
B7 H300x300x10/15
B5
H300x300x10/15
B6 H300x300x10/15
Trang 7+ Flange thickness h2=0.33 m Pbt2 = nbt.(L.h2) = 1.36 (T/m)
na : overload factor of concrete load nbt = 1.1+ Flange thickness h1=0.55 m Pbt1 = nbt.(L.h1) = 2.27 (T/m)
na : overload factor of concrete load nbt = 1.1
- Load of flange formwork:
ndd : overload factor of structure which be building ndd = 1.3
- Vertical load by people and slight equipment:
Trang 8Moment diagram (T.m)
Shear diagram (T)
Trang 9Bearing reaction diagram (T)
Deformation diagram (m)
Trang 10Mmax: Maximum moment
Trang 11Calculation deflection follow Midas: f max = 1.00 (mm)
f Checking of rigidity of compression diagonal strut bar:
+ The diagonal strut bar is compressed: 1.64 T
a.Shaped steel L100x100x10 has geometric feature:
- smax : calculation stress of maximum compression bar
- Ru : allowable stress of steel ; Ru = 2000( kg/cm2)
- j :stress reduction factor - Checking table
j : depending on material and slenderness l
With
3.03 Least radius of gyration of beam cross section
m : Factor depending on connection type; with connection at 1 lugs m = 2
J
F
Trang 12II Calculation of beam system B4 - H300x300x10/15 L = 15m :
1 General layout
Thân trụ Pier body
Đà giáo khoang Formwork
Hệ đà giáo tam giác Triangle scaffolding system
Hệ đà giáo tam giác Triangle scaffolding system
a
Ghế kích 250
2 Applied load
- Applied load to beam B4 is centre-point load which be transferred from leg of scaffolding for flange
- Load of shaped scaffolding to 1 side of glange has value:
Pdg = npt.DGC = 6.80 (T)
npt : overload factor of formwork scaffolding
- Named bars B4 form inside of pier column to outside alternately B4-1 and B4-2
- Load from bearing reaction force of bar T6 transfering to bar B4 have alternately value:
Trang 13Use Midas 6.30, we have:
Maximum moment diagram (T.m)
Maximum shear diagram(T)
Trang 14With bar B4 - 1
With bar B4 - 2
Bearing reaction diagram (T)
With bar B4 - 2
Trang 15Mmax: Maximum moment
R : steel intension R = 1900 (kG/cm2)
R W
M
Trang 16d Checking of shear member:
B5 H300x300x10/15
B6 H300x300x10/15
B7 H300x300x10/15
Trang 172 Applied load
- Applied load to beam B4 is centre-point load which be transferred from leg of scaffolding for flange
- Load from bearing reaction force of bar B4 have alternately value:
Trang 18Longitudinal force diagram (T)
Shear diagram (T)
Trang 19Deformation diagram (m)
Bearing reaction diagram (T)
Trang 20c Checking of bent member:
-Checking formula: max max
F area of bar cross section
Mmax Maximum moment
Nmax Maximum longitudinal force
Wx bending section modulus
Ru steel intension R = 1900 (kG/cm2)
Checking with load combination in case of most unfavorable loading
Bend section modulusWx
Area F
Moment My
Longitudinal forceP
Trang 21Jx: Inertia moment Jx= 20400.0 cmR: steel intensity R = 2000 (kG/cm2).
f Checking of rigidity of compression bar:
- B5 and B6 are compression bars, however B5 have larger compression and its bearing diagram is more unfavorable, so we check the slenderness and compression-bending rigidity for B5
+ Bar B5 - H300x300x10/15, L=5.904 m has compression force: 21.37 T
+ Shaped steel H300xH300x10/15 has geometric feature:
- smax : calculation stress of maximum compression bar
- Ru : allowable stress of steel ; Ru = 2000( kg/cm2)
- j :stress reduction factor - Checking table
j : depending on material and slenderness l
78.65With
7.51 Least radius of gyration of beam cross section
m : Factor depending on connection type; with connection at 2 lugs m = 1Relative eccentricity :
J
F
Trang 22IV Calculation of bolt connection and located pressure to concrte at bearings of b5,b6,b7
- Each bearing used 04 bolts M32 length L=0.8 m
- Applied load to bolt is bearing reaction from internal force diagram of above frame
- Bearing reaction has value alternate:
+ Upper bearing : G1-1 = 13.67 (T) - Tension bolt
G1-2 = 2.24 (T) - Shear bolt+ Below bearing : G2-1 = -13.67 (T)
G2-2 = 16.06 (T) - Shear bolt
3 Checking :
a Checking of rigidity of bolt D32:
- Bolt D32 has geometric feature:
Trang 23+ Calculation of upper bolt D32 follow tensile condition:
When external force has parallel direction with bolt body, applying and spliting the element of connection,cause tension bolt
- Tensile resitance of bolt is calculated as follow:
Abn - actual area of bolt body cross section (deduction by thread)
Standard TCVN 1916-1995 - Abn = 5.6 cm2 (Bolt D32)
ftb - calculate strength of material when tension work
Standard TCVN 1916-1995 - Abn = 2400 Kg/cm2 (Bolt grade 4.6)
=> : [ N ] tb = 13.44 (T)
- External force applying to 1 in 4 bolts of bearing has value:
N max=G1-1/4 = 3.42 (T)
So bolt ensuring tensile resistance
+ Calculation of upper bolt D32 follow shear condition (sliding):
When external force has perpendicular direction with bolt body, the body press closely hole torus,
bolt and connection plate sliding relatively, cause shear bolt
N tb= Abn ftb
bolt and connection plate sliding relatively, cause shear bolt
- Shear capacity of bolt is calculated as follow:
fvb - calculate shear strength of bolt material
Table 1.10 appendix I - Steel structure fvb = 1500kg/cm2
b - work condition factor of bolt connection
Table 2.8 - Steel structure b = 0.9 (Bu l«ng th«)
A - area of cross section of bolt body (no thread part)
Table 2.9-Steel structure A = 7.06(cm2) (Bu l«ng D32)
d - diameter of bolt body d = 3.20(cm) (Bu l«ng D32)
nv - number of calculate section of bolt nv = 1
=> [ N ] vb = 9.53 (T)
- External force applying to 1 in 4 bolts of bearing has value:
N max=G2-2/4 = 4.02 (T)
So bolt ensuring shear capacity
b Checking of located pressure concrete at connection position:
- Checking condition:
smax = Nmax/ F< Rem
Trang 24(Note : factors and table in calculation sheet are chosen accuracy following "Steel structure -
elementary structure" - Science and engineering Publisher Dr phạm văn hội (Ed) -
- Dr nguyễn quang viên - Master phạm văn tư - Engineer lưu văn trường )
Trang 25V calculation of inside formwork scaffolding - bar b11
1 General layout
Hệ đà giáo tam giác Thang thi công Ladder
Formwork
Hệ đà giáo tam giác
I200 b10 L= 6.420 m
Lan can thép
Steel parapet
l4
Thang thi công Ladder
Đệm kích/Wedge
H=0.25m
b11 I200x100x5.5
L = 6.420m L100x100x10
L=0.949m
l5 L100x100x10 L=2.990m
Nêm thép Wedge b11 I200x100x5.5
L = 6.420m
Trang 262 Applied load
- Load applying to scaffolding system divided equally to 6 bars B11 shored cantilever concrete stage 3 (cap):+ Distributed force by concrete weight of cap
+ Distributed force by weight of inside formwork scaffolding
+ Distributed force by pouring and vibrating concrete ; qdd = 0.2 (T/m2)
+ Distribbuted force by people and slight equipent; qng = 0.25 (T/m2)
- Load value :
+ Length of uniform load of bar B11 cause weight of scaffolding, formwork and cap concrete:
Lrd = 6.30 (m)+ Value of uniform load:
qrd =( nbt.BTN+npt.VKT)/Lrd/6 = 1.35(T/m)
nbt : over load factor of structure which be building
npt : overload factor of scaffolding, formwork
+ Vertiacl load by vibrating concrete mixture:
qdd = 200 (kg/m2)
Pdd = ndd.Lkc.qdd = 0.36 (T/m)
Lkc : distance between girders B11; Lkc = 1.5m
+ Vertical load by people and slight equipment:
qng = 250 (kg/m2)
Png = nng.Lkc.qng = 0.46 (T/m)
Lkc : distance between girders B11; Lkc = 1.5m
- So uniform load applying to B11:
Trang 27Moment diagram (T.m)
Shear diagram (T)
Trang 28Bearing reaction diagram (T)
Deflection diagram (m)
Trang 294 Checking of bar B11 (I200x100x5.5x8)
a.Bar I200x100x5.5x8 has geometric feature:
Mmax: Maximum moment
Trang 30Calculation deflection follow Midas: f max = 0.30 (mm)
Xuyên tâm D16,L=1.8m T9 Xem ở bản vẽ
Ván khuôn
Xem ở bản vẽ Ván khuôn
Thang thép Ladder
L100x100x10
Varies
L1
layout of scaffolding of the hold
bố trí đà giáo lỗ đi lại trong k0
ll2 lh1 li1 li2
Trang 312 Applied load
- Load applying to scaffolding system divided equally to 2 bars LI2 shored cap concrete:
+ Distributed force by concrete weight of cap
+ Distributed force by weight of inside formwork
+ Distributed force by pouring and vibrating concrete ; qdd = 0.2 (T/m2)
+ Distribbuted force by people and slight equipent; qng = 0.25 (T/m2)
- Load value :
+ Length of uniform load of bar LI2 :
Lrd = 2.00 (m)+ Uniform load by weight:
qbt = nbt.(Lkc.3.45).bt = 4.74 (T/m)
nbt : overload factor of concrete nbt = 1.1
bt : concrete unit weight bt = 2.50 (T/m3)
Lkc : distance between girders LI2 Lkc = 0.5 (m)
+ Uniform load by formwork:
qvk = npt.Lkc.0,06 = 0.04 (T/m)
npt : overload factor of formwork npt = 1.2
Choose formwork has unit weight: 0.06T/m2
+ Vertical load by vibrating concrete mixture: qdd = 200 (kg/m2)
Qdd = ndd.Lkc.qdd = 0.13 (T/m)+ Vertical load by people and slight equipment: qng = 250 (kg/m2)
Trang 32Moment diagram (T.m)
Shear diagram (T)
Trang 33Bearing reaction diagram (T)
Deflection diagram (T)
Trang 344 Checking of bar LI2 (I200x100x5.5x8)
a.Bar I200x100x5.5x8 has geometric feature:
Mmax Maximum moment
Trang 35Calculation deflection follow Midas: f max = 0.10 (mm)
Triangle flame Bar N2
I200x100x5.5/8
L = 12 m B3Lan can thép Parapet
+21.619
Thanh PC 36 Bar PC36
I200x100x5.5/8 B11
Thanh N3 Khung tam giác Thanh N1
Bar N3 Triangle flame Bar N1
G1 H300
Đà giáo khoang
KT 1.5x1.5x1.5m
l2 L100x100x10
L = 1.579 m
B8 I200x100x5.5
L = 5.34 m
L1 L100x100x10
L thay đổi T6 I150x75x5/7
L = 5.904 m
B6 H300x300x10/15
L = 5.610 m B1 2I500x200x10/16
L = 20.0 m
Trang 362 Applied load
- Applied load to beam B1 is divided equally to 3 bars with 1 cantilever end, includiing:
+ Centre-point load is reaction force transfering from beam system B4
+ Distributed force cause weight of scaffolding inside formwork, bottom formwork and bottom concrete.+ Distributed force cause weight of web concrete
+ Distributed force cause concrete cap
+ Distributed force cause pouring and vibrating concrete ; qdd = 0.2 (T/m2)
+ Distributed force cause people and slight equipment; qng = 0.25 (T/m2)
- Load value:
Centre-point load:
- From inside of pier column, named the bars alternately B1-1 ; B1-2 ;B1'
+ Value of centre-point load from B4 to B1-1:
PB4-1 = 2.65 (T)
PB4-2 = 7.37 (T)+ Value of centre-point load from B4 to B1-2:
PB4-1 = 2.00 (T)
PB4-2 = 5.60 (T)+ Value of centre-point load from B4 to B1'
nbt : over load factor of structure which be building nbt = 1.1
npt : overload factor of scaffolding, formwork npt = 1.2
+ Length of uniform load of bar B1 cause weight of web concrete:
Trang 37+ Value of uniform load cause weight of middle web concrete
q3 = nbt.BTSG/L3/3 = 15.36(T/m)
+ Vertical load cause vibrating concrete mixture:
qdd = 200 (kg/m2)
Pdd = ndd.LB1.qdd = 0.36 (T/m)
LB1 : distance between beams B1 ; LB1=1.4m
+ Vertical load cause people and slight equipment:
qng = 250 (kg/m2)
Png = nng.LB1.qng = 0.46 (T/m)
3 Calculation diagram and applied load
Use Midas 6.30, we have:
Trang 38Bar B1'
Maximum shear force diagram (T)
Trang 39Bar B1-1
Bearing reaction diagram (T)
Bar B1-2
Trang 40Bar B1'
Maximum deflection diagram (m)