Heart Disease Prediction using machine learning.pptx
Final Graduation Project.
1.
2. Chapter #1 Introduction
Picker to ………………………………………………………………………………………………………………………………………1
Abstract ……………………………………………………………………………………………………………………………………….2
The design is original information…………………………………………………………………………………………………2
Program than option…………………………………………………………………………………………………………………….3
The supper structure form and dimensions of……………………………………………………………………………….3
The calculation of the deck…………………………………………………………………………………………………………..4
The main span in Computing…………………………………………………………………………………………………………4
The main span reinforced computing…………………………………………………………………………………………….4
A section of carrying capacity limit status calculations……………………………………………………………….….4
Steel beam prestressed loss calculation…………………………………………………………………………………………5
Crack resistance of recalculations………………………………………………………………………………………………….5
The section is of crack resistance……………………………………………………………………………………..5
A section of crack resistance……………………………………………………………………………………………5
Chapter# 2 CompareandSelection ofProject
The bridge principles of design……………………………………………………………………………….…………………….6
Security………………………………………………………………………………………………….………………….6
Applicability…………………………………………………………………………………….………………………..6
4. The Design bending moment of the bridge deck…………………………………………………………………………15
Constant load and internal load calculations…………………………………………….………….15
Wind load bending moment ………………………………………………………………………………..15
Live load bending moment of each strip ………………………………………………………………17
Dead loads …………………………………………………………………………………………………………..17
Calculation of bending moments …………………………………………………………………………17
Calculation of the cantilever ……………………………………………………………………………………………………...18
Loads calculations ……………………………………………………………………………………………………………………..19
Calculation of bending moment ………………………………………………………………………………………………..19
Reinforcement of the bridge deck …………………………………………………………………………………………….20
Ending calculations……………………………………………………………………………………………………………………21
Chapter#5InternalForceCalculationsofthe MainGirder
Division of the whole beam section…………………………………………………………………………………………….22
Calculation tables ……………………………………………………………………………………………………………………….23
Internal forces…………………………………………………………………………………………………………………………….24
Dead and live load calculations ……………………………………………………………………………………………………27
MIDAS bridge model……………………………………………………………………………………………………………………28
Structural details …………………………………………………………………………………………………………………………28
MIDAS Calculations table ……………………………………………………………………………………………………………29
Ending …………………………………………………………………………………………………………………………………………41
8. Picker to
Thisdesign isbasedondesigntasksforthe bookand the highwaybridge onthe provisionsof the
regulationof the victoryof the riverbridge programthan anddesign.The designof the bridge,the spirit
of the security,utilities,economic,beautiful"principle 8, the designof the three differentbridge type to
compare and select.Programforprestressedconcrete continuousGirderBridge,the programforthe
secondcombinationof beamsystembridge,ProgramIIIisthe suspensionbridge.Throughthe above
principles aswell asthe designandconstructionof variousaspectssuchasconsideration,determine
prestressedconcrete continuousGirderBridge tofinal designprograms.
The prestressedconcrete continuousGirderBridge,whichwillconsistof three cross-(30m+50 m
+30 m) mainspans50 m, side symmetric30 m mainspar; a single enclosure single roomprestressed
concrete box beam,cross beamheightis1.5 m to supportbase of 2.8 mLeung,sectional heightbythe
secondmeetingof the parabolaformchanges;netdeckswitha widthof 1.5 mx 7+2; the designloadfor
the road – Grade.
In the design,the use of the bridge designsoftwarebuildbridgesthe Midasmodel andbridges
hang download,downloadthe Live andSeoremainedunchangedinconductanalysisandcalculations,
and concludedthatthe steel prestressedestimates.Finallythe mainsparstress,etc.forrecalculations.
The comparative analysisandindicatesthatthe designof the recalculationscalculationcorrectly,the
force distributionandreasonable and inthe designof the requirementsforthe task.
1
Abstract
The designisbasedon the requirementsof the designtaskand"highwayregulation". Bridge the design
of the bridge iscarriedoutin the rulerof "safety,eight-characterpractically,aesthetic"economically
and bycomparingand choosingthe bestone.The firstprogram is continuous prestressedconcrete
girderbridge,the secondone the beamcombinationof arch bridge,andthe thirdone isthe bridge.
9. Accordingsuspensiontothe above principlesandconstructionfactorsthe prestressed continuous
bridge ischosento the ultimate.
The continuous prestressedconcrete girderbridgeisdividedintothree inters,(30m+50m+30m),
withthe mainspan of 50m, 30m-symmetryandconcrete box girderprestressedone.isusedasthe main
beam;the beamdepthinthe mid-spanadaptorsis1,5 MHz while atthe supportbearingitis2.8m.the
sectional depthischangedinthe formof parabolic.The netwidthof the deckis7+2x1.5m, and the
designloadisforthe highway-i.
In the design,the bridge designsoftware MIDASisused togetthe calculationmodel.Byanalyzing
and computingthe deadloadlive loadandinternal force (the estimatedvalue of the prestressedstrand
isgot. finally,checkingcalculationiscarriedoutto the stressanddeformationof the mainbeam.the
resultsof the analysisandcheckingthe show thatthe designcalculationmethodisdescribesanissue
that occurs and the internal force distributionisthe viewtothe designtask.
Key words: prestressedcontinuousbeam;concrete;box-girder;non-uniform
The design is original information
it is the design of K70+364.8 Victory River bridge. Information about terrain and geological
tectonics of riverbed cross section are wanted from the riverbed cross-sectional profile, the rest
of the related design parameters are as follows:
1. A topographic map and bridge site of the bridge
2. Design loading: Highway Grade ⅠOperated:3.5kN/m2
3. Design speed of 60km/h
4. The width of the bridge deck: Net -7+2×1.5(Walkways)
5. Cross slope of the bridge deck: 1.5%;
6. Navigation Ratings: Ⅳ-(4). 2
Program than option
The bridge designisbasedondesigntasksforthe bookand the highwaybridge onthe provisionsof
the Regulation,the spiritof the security,utilities,economic,beautiful"8Principles,setoutinthree
differentbridge type tocompare andselect.Program forprestressedconcrete continuousGirder
Bridge,the programfor the secondcombinationof beamsystembridge,ProgramIIIisthe suspension
10. bridge.Throughthe above principlesaswell asthe designandconstructionof variousaspectssuchas
consideration,determineprestressedconcrete continuousGirderBridge tofinal designprograms.
The supper structure form and dimensions of
1. The formulationof the mainspan
The designof the program afterthe electionthanusingthe three cross-networkedprestressed
concrete taperedcontinuousbeamedwithatotal lengthof 110m . Inaccordance withthe net
Navigationbridge callsfor,the mainspanis50 m.Edge cross-with0.6 timesthe diameterof the cross,
that is,30 m .
2. Shun bridge tothe size of the formulation
The beamsin a single enclosuresingle roomprestressedconcretebox beam, crossbeamheightis
1.5 m to supportbase of 2.8 m Leung,sectional heightbythe secondmeetingof the parabolaform
changes.
3. Cross the bridge to the size of the Development
ChassisPlate Thicknessfrom Mr. Leung20 cm ; cross-inbackplane boardthickness30cmto
furnishedprestressedbeampivotsbase platethicknessof 60cm, the middle bottompanel thicknessto
linearchange;Abdominalpanel thicknessdue tothe furnishedprestressedsteel beamanchorheadisby
usingthe 40 cm ; supportthe size ; takingintoaccount the overrelativelysmall andtherefore only
supportfor settingupa cross road divider,panelthicknessof 1 m ; sidewalksare onhold-pavement
board.
4. Footbridge Tiles
TilesSelecteddecks8cmthickwaterproof concrete pavementasTier,Add2 cm thickasphaltic
concrete wear,total 10cm thick.
5. The bridge primarymaterial
Main frame usingC 50 concrete prestressedreinforcedwithlow slacktwistedsteel (standard),non-
prestressedreinforcedwith NG( 335 grade steel,walkways,railingsusing C20
3
The main spar reinforced computing
Prestressedreinforcedshouldmeetthe constructionstage,andbridge tothe operationof the force
requirements,steel constructionarrangementincompliance withrequirements,includingprestressed
anchorage select,steel beamspace,etc.,andasfar as possible tofacilitate the constructionworks.The
11. use of the midasbridgescomputingsoftware,enterthe twistedsteel categoryfor1x 7 standard,and
nominal diameter15.2 mm , cross-sectionalareaof 139 mm 2
, run the analysisoutputaftereach
sectionprestressedreinforcedthe forecastquantity.Afterthe sectionalprestressedsteelbeam.
By the steel prestressedestimatestable suggeststhatfull-bridge prestressedsteel beamupto87
root,90 root,pre-buriedpipesare metal bellows,eachwithinthe bellowssettings9rootprestressed
steel beam,the largestof 10 sticksthe bellows.Asaresultof the imposedbridge prestressedmethodis
after,to ensure thatone of the mostconcrete setin concrete placementcanbe passedsmoothlywhen,
at the level of the bellowsnetare 5cm.
Because the steel withchassisanchormulti-the websof the steelplate,sothe beambendingand
vertical barsFlat Bentdesign.
A section of carrying capacity
Limit status calculations
The is a cross-sectionof conductorandloadcalculations,the calculationissectional loadcarrying
capacityto meetthe designrequirementsandpressthe calculationresultsof asectioninthe
configuration.
Steel beam prestressed loss calculation
As a resultof the constructionof the tensioningprestressedafterusingone of the followingitemsand
therefore prestressedlossonthe calculation:
Prestressedreinforcedwithapipe frictionbetweenthe wall;anchorage deformation,steel and
retract and seamcompression resilient;Concrete;prestressedreinforcedthe stress ;Concrete shrinkage
and Xuremainedunchanged.Finally calculatedincross-sectional andproductionlossprestressed
averages.Toprovide the basisforrecalculationsstrainrelief
4
Stresses recalculations
12. Withconcrete curvedmemberbythe use of stagessectionof concrete law to stressandpressure
by the steel sectorstrainrelief doesnotexceedthe specifiedlimitsasa standardfora strain relief
residue.
Crack resistance of recalculations
1. The sectionisof crack resistance
Coveredbythe highwaybridge of lastingconditionsshouldfollow the normal usage limitsatthe
requestof the state of the componentsof crack resistance of recalculations.The crackresistance of
calculations,the role (orloadthe effect) (where the vehicle loadwithouttakingintoaccountthe impact
factor) shouldadopta short-termeffectdesigncombinationvalue,structural materialperformance with
theirstrengthdesignvalues.
2. A sectionof crack resistance
PrestressedConcretebeamis sectionalcrackresistance of recalculationsispassedinconcrete mainpull
strainrelief tocontrol the recalculationsThe mainstressrecalculationsincross-pathdirectionshould
selectshearandBendingMomentare large seatingof the section.A cross-sectional crackresistance of
recalculationsisrequiredonlyif the role (orload) short-termeffectscombinationof concrete mainpull
strainrelief.
The main spar deformation computing
In thisdesignthe mainsparDeformation(calculated) approximate use charpydeflection calculation
method.Continuous more charpydue tosupporta negative bendcandramaticallyreduce torque in
cross-deflectionandthususingcharpythe calculationmethodincross-deflectionissecure
5
13. Chapter #2: Compare and selectionof project
Continuous Beam Bridge, beam-arch Combination Bridge and cable-stayed bridge can be
considered as forms of bridge. In comparison of those three kinds of bridges, the bridge form is
eventually decided in aspects of security, applicability, economics and art.
The Bridge principle of bridge design:
1. Security
Security should be assured as the primary condition in bridge design. Amplitude of the
bridge should be controlled vertically and laterally to avoid vehicles vibrating and striking. The
whole bridge span structure and components of every part should have enough strength,
rigidity, stability and durability in process of manufacture, transportation, installation and use.
2. Applicability
Applicabilityisthe primaryprinciple of bridge design.itshouldbe assuredthatvehiclesand
populationcanpass safelyonthe bridge whichshouldsatisfythe needof trafficvolume increasing.
Meanwhile,underthe bridge,flooddischarge andsafelynavigationortransportationshouldbe needed.
The bridge builtshouldassure the durable yearsandbe easyforexaminationandmaintainservice.
3. Economics
The bridge designshouldreflectthe economical rationality.Whendesigning,the economical
technologyshouldbe comparedtomake the leastconsumptionof the total costand materials.
Meanwhile,
The cost of operation and maintenance should be sufficiently considered
4. Art
A bridge should have an artistic appearance, which is in harmony with surroundings.
Reasonable structure layout and outlines are the main points instead of mistaking art with
luxury decoration. 6
14. The bridge should be evaluated synthetically according to the principles above.
1. continuous beam bridge
Beam systemis an old structure system, continuous beam bridge is referred to the one
whose bearings of structure only produce vertical reaction without horizontal force under the
action of vertical load. Prestressed concrete continuous beam bridge makes use of unloading
bending moment to reduce mid-span moment and allocate internal force of span reasonably.
The cross-section of component with the same bending strength can build bridges with much
longer span. Meanwhile, design and construction of continuous beam bridge are getting
improved.
2. beam-arch combination bridge
This kind of systemincludes tied arch, truss arch and beam arch in structure with
multiplied spans. They make up into united structures by using characteristic of flexural
capacity of beam and arch pressure-bearing. Due to the pressure stored in the beam bearing
the horizontal force from the arch, pre-stressed concrete structure not only has arch's
characteristics, but also is not thrust structure. Besides, it has less request for foundation. But
construction of the structure is complex and the cost is much more expensive.
3. Suspension bridge
Suspension bridge use cable rope hung on both sides of it as main bearing structure. Under the
action of vertical load, suspender is used to make cable rope bear more stress, which needs
very large anchorage structure built behind bridge abutments. Suspension bridge is also a
structure which has horizontal reaction. So far, wire rope made of high-tensile steel wires is
widely used to take full advantage of excellent tensile property. Thus dead load of the structure
is small. Another characteristic of suspension bridge volume wire rope is easy to transport and
its component is light to make it easy to assemble without support. But dead load of suspension
bridge is small, structural rigidity is worse, and in the vehicle dynamic loads and wind loads, it
has a major deformation and vibration.
7
16. Project comparison Table1-1
Project First project Second project Third project
Form
prestressed concrete
continuous beam bridge
beam-arch
combination bridge
suspension bridge
Characterist
ics
Continuous beam
bridge is referred to the
one whose bearings of
structure only produce
vertical reaction without
horizontal force under
the action of vertical
load. It has flexible and
beautiful shape,
structure stiffness is
bigger, and
degeneration is smaller.
Stress is clear.
Meanwhile, design and
construction of
continuous beam bridge
are getting improved.
Due to the pressure
stored in the beam
bearing the horizontal
force from the arch,
pre-stressed concrete
structure not only has
arch's characteristics,
but also is not thrust
structure. Besides, it
has less request for
foundation.
Suspension bridge
use cable rope hung
on both sides of it as
main bearing
structure. Under the
action of vertical load,
suspender is used to
make cable rope bear
more stress, which
needs very large
anchorage structure
built behind bridge
abutments.
Appearance
Seenfromthe side,
clearline,cooperation
withthe local terrain,
appearingelegant.
Large span,
beautiful lines,
inharmonywith
environment
Lightstructure;
In well harmonywith
environment;Large
span;Brand new
Cost lower Moderate Higher
Technology
Advancedtechnology;
Rich experience;
Strict technology;
Fewerdevices;
Lessroom occupation
Rotationmethod;
Smallereffect;
Buildstructure
separatelyandunite
themeventually
Volume wire rope is
easy to transport and
its component is light
to make it easy to
assemble without
support.
17. As is known from the list, according to the situation of local hydrogeology, combined with
principles of bridge design, choosing the first one is better than other two projects in aspects of
span satisfaction, scenes in harmony with environment, ripe experience with technology, less
difficulty with construction and short time limit. In allusion of local geography, pile foundation
should be used to strengthen the basis. So choosing the first one is the best.
10
Chapter #3: Forms and size formulation of supper structure
Time limit shorter longer Moderate
18. According to the information of bridge location, terrain and geological map, this design
uses prestressed concrete variable cross-section continuous beam structure, the length of
which is 110m.According to the navigation and net capacity requirements, the main span is
50m.
According to the requirement of the width of the bridge deck: Net -7+2×1.5(Walkways),
single box-type beam is used, width of which is 9.2m.
The formulation of the main span
The main span is 50m, side span is 0.5~0. 8 times wider than main span on the basis of
experience both at home and abroad, and the middle spin is 0.6 time wider, which is 30m.So
the whole span is:
30+50+30+110(m)
The size formulation of the frame to axle
(1) Beam depth of Pivots: In accordance with 【1】, beam depth of Pivots is
width of span.The most common is , therefore beam depth of pivots:
(2) Beam depth of middle span: In accordance with 【1】, beam depth of Pivots is
width of span.The beam depth of Pivots: Within that
range.
(3) Bottom curve: In accordance with 【1】.use second parabola,
A cross-beam bottom as origin, curve equations:
11
Size formulation of horizontal bridge
201~151
181
)m8.218150 (支
h
501~031 )m5.1 (中
h 33/150/5.1
5.14X0.00216576 2
Y
19. In accordance with the net deck’s width: Net -7+2×1.5(Walkways), two sides of the
Roadways and the 1.5m sidewalk. In accordance with【3】 choose holistic single box-type
cross-sections.
Size formulation of main beam sections ‘detail (according to reference literature 【3】as
is shown in figure 2-1.
Support Section
Cross Section
12
Girder plate Thickness is20cm;back plate of middle span is 30 cm thick, to furnish prestress
beam pivots’base plate is 60 cm thick, intermediate plate thickness change linearly; web plate
20. thickness is 40cm due to the furnishment of well-prestressed steel beam anchor;and bearing
size is . Considering smaller span,only set a diaphragm on bearings, thickness of
which is 1m.pedestrian walkway with the on hold-board ,specific size is showed in figure2-3
Sidewalk Plate Structure
Deck pavement
(Depending on the reference literature【2】, choose 8 cm thick Waterproof concrete as
pavement layer, put 2cm thick asphaltic concrete on it, a total of 10 cm thick.
Primary material of this bridge
Depending on the reference literature【5】, prestressed concrete girder use C50 concrete
; ;
;
Prestressed reinforced steel uses low-steel strands of the slack( Standard) of ASTM
13
cmcm 6020
MPaEc
4
1045.3 MPafck 4.32 MPafcd 4.22 65.2tkf MPa MPaftd 83.1
71
22. Chapter#4:Calculationof bridge deck slab
(1) The design bending moment of the bridge deck plate
According to the REFERENCE 5, pre-compliance requirements:25/4.6=5.43 2, So on the
basis of number of cross-continuous directional panel to do in computing.
(1) Constant load And internal load calculation
(1) Linear meters per board hang:
The autumnal tiles:
(Bitumen layer of concrete)
(Waterproof layer of concrete)
Bridge deck slab: exfoliation will support area of assessed contributions to the deck,
Then, average thickness
The total load is:
(2) The Board of m Wind Load Bending Moment
The calculation of the deck cross-diameter:
Simply press the Panel calculates cross bend moment:
15
:1g mkN/44.0220.102.0
:2g mkN/84.1230.108.0
)(73.2220)302500/()6020( cmt
:3g mkN/68.5250.12273.0
mkNgggg /96.7321
mcmtll 4.4440204200
mkNglMAg 26.1940.496.7
8
1
8
1 22
23. (2) Bearing moment caused by Road Grade Ⅰ
(According to the REFERENCE 5- Vehicle Loading lateral placement require vehicle load.
Do mid-span moment influence line, as is shown in the figure 3-1, vehicle arrangement
makes mid-span moment up to the maximum. The support is between two vehicles and keeps
equal distance with two wheels, so the effect to mid-span bending moment can be balanced,
only the first car’s effect needed.
① .effective distribution width of one-way slab
As is evaluated above, make one back wheel of vehicle loading act on span, make the
other one act on support. The force of two backshift: 2P=280kN
Touchdown length of the rear wheels of the load is 0.2m, the width is 0.6m. The effective
distribution of width on mid-span is:
Distance from the pivot point to another wheel near it
The effective distribution of the width of the wheel side
16
m
l
dhaa 27.3
3
40.4
4.1)10.022.0(
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2
40.4
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80.1
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mxdthaa 63.38.0240.12273.0)10.022.0(2)2( 1
'
24. ① Live load bending moment of each wide strip
On the basis of the bridge regulation, the local load of vehicle load and
impact coefficient on T beam and box beam is 0.3, so mid-span bending moment acted
on every wide strip is calculated.
The cross-Torque ruled on the wheel of the curve:
The cross-curve rolled on the wheel at pivots
Therefore, cross-Bend moment of each wide strip
(3) Calculation of design bending moment
① Combine with the normal use of the limits of the press, then calculate design bending
moment in charpoy’s way
As a result of =0.2273/1.5 (minimum) =0.152)
,
Tertiary row exfoliation design bend
a moment of:
Cross-Bend moment:
Pivot point bend moment:
17
mkN
hb
l
a
P
M
66.55
2
1.026.0
40.4
27.38
280
3.1
2
2
8
)1( 1
1
mkNxa
P
M
03.108.0
63.38
280
3.1
4
2)1(
'
2
mkNMMM Ap 69.6503.1066.5521
mkNMMM ApAg 95.8469.6526.190
ht /
4
1
mkNMM 48.4295.845.05.0 0中
mkNMM 47.5995.847.07.0 0支
25. ② Press the load carrying capacity limits.The composition of the state of the press Charpy
Computing Design Bending Moment of,
Then By 5, Mr. =0.2273/1 high =0.152 minimum) Tertiary row exfoliation design
bend a moment of:
Cross-Bend moment:
Pivot point bend moment:
(2) The calculation of the cantilever slab
(4) 1/Hang contained within and its competitiveness computing
1 linear meters per board hang download
The autumnal tiles:
The arm of the Board:
Total:
Each side of the pavement railings and board building press
(2) Wide Load Bending Moment
The length of the cantilever board:
18
mkNMMM ApAg 08.11569.654.126.192.14.12.10
ht /
4
1
mkNMM 54.5708.1155.05.0 0中
mkNMM 55.8008.1157.07.0 0支
mkNg /28.2230.108.0220.102.01
mkNg /43.6250.12.01.2/6.02.02
mkNggg 71.843.628.211
mkNG /0.5
ml 10.20
26. Root Load Bending Moment:
Note:The Role of the joint positionof the sidewalkboard from
the boom enddistance of 0.5m
② Bearing moment caused by highway Grade Ⅰ
(1) Effective distribution width of one-way slab
The rear wheel of the vehicle load is arranged along sidewalk laterally.
Built-in as is shown in Figure 3-4 two back shaft force
Touchdown length of the rear wheels of the load is 0.2m, the width is 0.6m. From Figure
3-4, to calculate the distance from load pressure side outer edge to the outer edge of the Board
to be:
The load distribution width is:
(2) The meters wide strip of live download bend Torque
On the basis of the bridge regulation, the local load of vehicle load and
impact coefficient on T beam and box beam is 0.3, so mid-span bending moment acted
on every wide strip is
19
mkNlGglM Ag 21.275.010.20.510.271.8
2
1
5.0
2
1 2
0
2
0
kNP 2802
m
hb
lc
9.0
2
1.026.0
1.15.01.2
2
2
1.15.00
cdhaa 221
m60.39.0240.11.022.0
mkN
b
l
a
P
M Ap
94.85
2
8.0
10.2
60.32
280
3.1
22
2
1 0
27. (3)Calculation of design bending moment
Combine with the normal use of the limits of the press, then calculate design bending
moment
Press the carrying capacity of the state to limit in combination, Computing Design bend a
moment of:
(3) The reinforcement of bridge deck
(1) pivot reinforcement, calculate in unit 1m width
The calculation of the ribbed beam’s section effective height
(To meet the
requirements
20
mkNMMM ApAgA 15.11394.8521.27
mkNMMM ApAgA 97.15294.854.121.272.14.12.1
mmcmtgshh 7.26667.26
3
1
2
40
2010
0931.0
7.26610001.230.1
1097.152
2
6
01
bhf
M
c
s
55.00979.00931.0211211 bs
951.0
2
0931.0211
2
211
s
s
28. In accordance with HRB335 level steel18@100, then
,
requirement is met.
(2) cross-reinforced, the unit 1m plate width calculation,
(To meet the
requirements
In accordance with HRB335 Level@ 200 is 18 Steel
,
requirement is met.
21
2
6
0
4.2010
7.266300951.0
1097.152
mm
hf
M
A
ys
s
2
2540 mmAs
mmcmahh 160164200
0973.0
16010001.230.1
1054.57
2
6
01
bhf
M
c
s
55.01026.00973.0211211 bs
949.0
2
0973.0211
2
211
s
s
2
6
0
2.1263
160300949.0
1054.57
mm
hf
M
A
ys
s
2
1272 mmAs
29. Chapter #5: Internal force calculation of main girder
The division of the whole bridge section
(1)for more convenience of bridge construction and better dividing by lifting weight, every
50cm beam section and weight are calculated by computing procedure specifically seen on
table
Section property calculation table
Section
Location
(m)
Beam
Heigh
t (cm)
Beam
Thicknes
s(cm)
Section Property Liang
Duanz
hong
(kN)
Beam of
the (kN)A(cm
2
)
S(cm3
) J(cm4
) Y(cm)
0.0 150.0 30.0
4500
0.00
2.969E+0
6
1.434E+0
8
66.0 0.0 0.0
0.5 150.1 30.6
4526
1.47
3.000E+0
6
1.442E+0
8
66.3 56.4 56.4
1.0 150.2 31.2
4553
1.61
3.035E+0
6
1.453E+0
8
66.6 56.7 113.2
1.5 150.5 31.8
4581
0.41
3.072E+0
6
1.466E+0
8
67.1 57.1 170.2
2.0 150.9 32.4
4609
7.88
3.112E+0
6
1.481E+0
8
67.5 57.4 227.7
2.5 151.4 33.1
4639
4.00
3.154E+0
6
1.500E+0
8
68.0 57.8 285.5
3.0 151.9 33.7
4669
8.79
3.200E+0
6
1.520E+0
8
68.5 58.2 343.7
3.5 152.7 34.3
4701
2.24
3.250E+0
6
1.544E+0
8
69.1 58.6 402.3
4.0 153.5 34.9
4733
4.36
3.302E+0
6
1.571E+0
8
69.8 59.0 461.2
33. The third paragraph of 22.0~19.5m, 2939.9-2545.3=394.6kN
The fourth paragraph of 19.5~17.0m,2545.3-2169.3=376kN
The fifth paragraph of 17.0~14.5m,2169.3-1810.5=358.8kN
The sixth paragraph of 14.5~12.0m,1810.5-1467.5=343kN
The seventh paragraph of 12.0~9.0m, 1467.5-1075.1=392.4kN
The eighth paragraph of 9.0~6.0m, 1075.1-701.3=373.8kN
The ninth paragraph of 6.0~3.0m, 701.3-343.7=357.6kN
The middle paragraph of 3.0~0m, 343.7-0=343.7kN
(4)cross span construction (40t lifting capacity) :
Support Housing Department 30.0~29.0m,864 2+171=340.2kN (including diaphragm)
The second paragraph of 29.0~27.0m,3269.9-2939.9=330kN
The third paragraph of 27.0~24.5m,2939.9-2545.3=394.6kN
The fourth paragraph of 24.5~22.0m,2545.3-2169.3=376kN
The fifth paragraph of 22.0~19.5m,2169.3-1810.5=358.8kN
The sixth paragraph of 19.5~17.0m,1810.5-1467.5=343kN
The seventh paragraph of 17.0~14.0m,1467.5-1075.1=392.4kN
The eighth paragraph of 14.0~10.0m,1075.1-701.3=373.8kN
The ninth paragraph of 10.0~8.0m, 701.3-343.7=357.6kN
The tenth paragraph of 8.0~5.0m, 343.7-0=343.7kN
The eleventh paragraph of 5.0~0m,full supporting
26
34. (2) Internal force of dead load and live load
On the basis of arrangement of beam and span vertical section, by moving load to most
unfavorable position, determine internal force of the control section and combine them, Draw
envelope figure.
(1) According to the bridge regulation, when the bridge is designed on bearing capacity, it
should be conducted as follows:
(4.
Where: - The Importance of Structural factor ,security level is the level 1 when the 1.1
- under limit state, Load capacity the basic combination of the effects of the
combination of the value
- Part of the role of the permanent effect design values
- Vehicle Load effect city include the vehicle impact, centrifugal force of design
values
- on the role of the portfolio in addition to Effect Vehicle Load effect city include the
vehicle impact, other than the centrifugal force
(2) According to the bridge regulation, when the bridge is designed on limit state, it should
be conducted as follows:
① short-term benefits
- Design value of role of the short-term effect
- the standard value of permanent role
27
0 udS
m
i
n
j
QjdcdQGid SSS
1 2
10
0
udS
GidS
dQS 1
c
Qjk
n
j
j
m
i
Giksd SSS
1
1
1
sdS
GikS
35. - frequent value factor of the first variable effects,
Vehicle load = 0.7mm,
the crowd load ≤1.0
- frequent value of each variable j effects
(2) Long-term benefits
- The design values of the long-term effects
-- standard value under NO.i permanent role
- quasi-permanent value Factor of The role of each variable j effects,
Vehicle load = 0.4,
the crowd load ≤0.4
- Quasi-permanent value of NO.j variable role
Midas bridge calculation software for modeling, as shown in Figure 4-2, the flat is divided
into 220 units, each unit 0.5M. Only considering the influence of concrete shrinkage and creep s
econdary internal force structure.
The bridge model by Midas
28
j1
1
1
j1 QjkS
Qjk
n
j
j
m
i
Gikld SSS
1
2
1
ldS
GikS
j2
2
2
j2 QjkS
48. According to the tables 4-2 and 4-3 can
be drawn under ultimate limit State moment envelope and the corresponding shear force envel
ope diagram,
Bending moment envelope diagrams (KN)
Shear force envelope diagram (KN)
41
49. Chapter #6: Mainbeam reinforcement
1. Estimation of prestressed reinforcement principle
1. Equipped with beam principle:
Construction of prestressed reinforcement should meet the stage and bridge operating force re
quirements and reinforcement placement in accordance
with construction requirements, including anchorage options, steel beam space layout,
etc., and to facilitate the construction.
2. Beam distribution formula
In accordance with the provisions of the code for design of reinforced concrete and
prestressed concrete highway bridges and
culverts, first prestressed concrete continuous beams under stress to meet load requirements.
Under normal circumstances, upper and lower edge of compressive stress is
not the controlling factor, simple plan, can be considered only on margin and margin does
not appear under tensile stress for restrictions. According to
the conditions of this type is expressed as:
0
上
min
上
W
M
y , That is
上
上
W
M
y
min
(5-1)
0max
下
下
W
M
y , That is
下
下
W
M
y
max
(5-2)
Type: 上y , 下y --on a section by prestressing force and stress generated by the lower edge;
Mmax, Mmin-
section of maximum and minimum bending moment, positive moment is positive negative nega
tive bending moment;
上W 、 下W --Namely the section the upper and lower edge of flexural modulus.
According to section forces, there
are three possible forms of reinforcement: sectionare arranged on
the upper and lower margin of reinforced to resist positive and negative moment; only in the se
ction margin under layout of tendons to resist bendingmoments; or only in assigning the upper
edge reinforced to resist the negative moment.
42
50. ① Sections are arranged on the upper and lower margin of prestressed tendons
Reinforced by force and in cross section and lower margin of stress are:
上
下下下
上
上上上
上=
W
eN
A
N
W
eN
A
N
y (5-3)
下
下下下
下
上上上
下=
W
eN
A
N
W
eN
A
N
y (5-4)
Order yyfnN 上上 , yyfnN 下下 (5-5)
We have:
))((
)()(
下上下上
下下上下下上下上
上
eekk
ekkekk
f
A
n
yy
yy
(5-6)
))((
)()(
下上下上
下上下上下下上下
上
eekk
ekkekk
f
A
n
yy
yy
(5-7)
Type: 上n , 下n ,--and lower margin of prestressing steel on the section number;
A--Concrete area;
yf --Each beam (unit) cross-sectional area of the prestressing steel;
y --
The persistent stress of prestressed reinforcement. Estimated number of bars is desirable for pr
e
Standard strength of stress bars;
上k , 下k --Section and lower margin of the core distance;
上e , 下e --Section upper and lower edge of prestressing to cross the center of gravity the Centre
of gravity range;
② Margin layout only under section prestressed tendons
Section lower edge only in the layout of tendons to resist bending moments, by thelower edge
of prestressing steel upper and lower stress in the cross section, respectively
Lower stress are:
43
51. 上
下下下
上=
W
eN
A
N
y (5-8)
下
下下下
下=
W
eN
A
N
y (5-9)
Order yyfnN 上上 , (5-10)
We have:
下下
下上
下
ek
k
f
A
n
y
yy
(5-11)
下上
下下
下
ek
k
f
A
n
y
yy
(5-12)
③ Margin only in arrangement of prestressed tendons
The same can be obtained now does
not appear on the tensile stress is the sectionmargin number of prestressing:
下下
下上
上
ek
k
f
A
n
y
yy
(5-13)
下下
下上
上
ek
k
f
A
n
y
yy
(5-14)
④ Criterion of upper and lower reinforcement
Number of prestressed concrete flexural reinforcement not only associated with the cross
section subjected to bending moment and also needs to consider the effect ofsectional properti
es. Thus, reinforcement calculation, should not be considered onlywhen under positive and neg
ative bending moment interaction only when upper and lower reinforcement, but should
be based (5-6) and (5-7) on the basis of criterionreinforcement is derived.
(5-6), 0上n is available only in the lower reinforcement of conditions:
上下下下下上下上 ekkekk y y (5-15)
43
52. (5-7), 0下n is available only at the upper edge reinforced conditions:
下下下上上上 kekk y y (5-16)
2. Estimation of prestressing tendon
Using Midas bridge calculation software, enter-
strand type 1x7 standard, and nominal diameter of 15.2mm, 139 mm2 cross-
sectional area, run the analysis section of the output for prestressing the estimated number, as
shown in table 5-1, unit area mm2 steel beam, steel beams for the root.
The estimation of prestressed steel bar table
Section Location
Steel
beam
area
Steel
beam
Section Location
Steel
beam
area
Steel
beam
Section Location
Steel
beam
area
Steel
beam
1 Bottom 0 0 13 Bottom 6170.462 44 26 Top 3686.675 27
1 Top 0 0 13 Top 1032.651 7 27 Bottom 7599.847 55
2 Bottom 712.7601 5 14 Bottom 6507.636 47 27 Top 3902.692 28
2 Top 9.8904 0 14 Top 1214.273 9 28 Bottom 7454.531 54
3 Bottom 1376.08 10 15 Bottom 6807.931 49 28 Top 4118.126 30
3 Top 28.5689 0 15 Top 1401.367 10 29 Bottom 7282.321 52
4 Bottom 1993.172 14 16 Bottom 7071.044 51 29 Top 4332.579 31
4 Top 57.6569 0 16 Top 1593.487 11 30 Bottom 7084.691 51
5 Bottom 2567.889 18 17 Bottom 7296.853 52 30 Top 4545.673 33
5 Top 98.7715 1 17 Top 1790.176 13 31 Bottom 6867.276 49
6 Bottom 3104.573 22 18 Bottom 7485.428 54 31 Top 4761.172 34
6 Top 153.5238 1 18 Top 1990.97 14 32 Bottom 6642.613 48
7 Bottom 3607.922 26 19 Bottom 7637.015 55 32 Top 4989.748 36
7 Top 223.516 2 19 Top 2195.379 16 33 Bottom 6397.83 46
53. 8 Bottom 4082.864 29 20 Bottom 7752.035 56 33 Top 5216.677 38
8 Top 310.3395 2 20 Top 2402.915 17 34 Bottom 6134.395 44
9 Bottom 4534.441 33 21 Bottom 7831.068 56 34 Top 5441.61 39
9 Top 415.5722 3 21 Top 2613.09 19 35 Bottom 5853.772 42
10 Bottom 4967.708 36 22 Bottom 7874.848 57 35 Top 5664.226 41
10 Top 540.7754 4 22 Top 2825.414 20 36 Top 5884.226 42
11 Bottom 5387.633 39 23 Bottom 7884.252 57 36 Bottom 5557.399 40
11 Top 687.4897 5 23 Top 3039.405 22 37 Top 6101.339 44
12 Bottom 5796.9 42 24 Bottom 7860.286 57 37 Bottom 5246.677 38
38 Top 6315.319 45 50 Top 8629.933 62 63 Top 10158.81 73
38 Bottom 4922.982 35 50 Bottom 509.2788 4 63 Bottom 0 0
39 Top 6525.946 47 51 Top 8823.058 63 64 Top 9783.585 70
39 Bottom 4587.653 33 51 Bottom 150.9798 1 64 Bottom 0 0
40 Top 6733.022 48 52 Top 9019.307 65 65 Top 9403.285 68
40 Bottom 4241.975 31 52 Bottom 0 0 65 Bottom 0 0
41 Top 6936.375 50 53 Top 9218.433 66 66 Top 9018.479 65
41 Bottom 3887.183 28 53 Bottom 0 0 66 Bottom 0 0
42 Top 7135.852 51 54 Top 9420.219 68 67 Top 8629.122 62
42 Bottom 3524.459 25 54 Bottom 0 0 67 Bottom 0 0
43 Top 7331.329 53 55 Top 9624.461 69 68 Top 8235.954 59
43 Bottom 3154.928 23 55 Bottom 0 0 68 Bottom 0 0
44 Top 7522.692 54 56 Top 9830.978 71 69 Top 7838.963 56
44 Bottom 2779.664 20 56 Bottom 0 0 69 Bottom 0 0
45 Top 7709.86 55 57 Top 10039.59 72 70 Top 7438.641 54
45 Bottom 2399.677 17 57 Bottom 0 0 70 Bottom 0 0
46 Top 7892.759 57 58 Top 10250.16 74 71 Top 7035.699 51
54. 46 Bottom 2015.922 15 58 Bottom 0 0 71 Bottom 0 0
47 Top 8072.077 58 59 Top 10462.54 75 72 Top 6630.404 48
47 Bottom 1630.032 12 59 Bottom 0 0 72 Bottom 0 0
48 Top 8254.138 59 60 Top 10676.61 77 73 Top 6223.356 45
48 Bottom 1249.198 9 60 Bottom 0 0 73 Bottom 211.3078 2
49 Top 8440.194 61 61 Top 11102.49 80 74 Top 5815.195 42
49 Bottom 875.475 6 61 Bottom 0 0 74 Bottom 523.5213 4
50 Top 8629.933 62 62 Top 10529.13 76 75 Top 5406.606 39
50 Bottom 509.2788 4 62 Bottom 0 0
75 Bottom 843.0748 6 86 Top 2137.151 15 97 Bottom 9329.945 67
76 Top 4998.319 36 87 Bottom 5218.671 38 97 Top 277.005 2
76 Bottom 1169.808 8 87 Top 1918.268 14 98 Bottom 9685.449 70
77 Top 4591.147 33 88 Bottom 5633.838 41 98 Top 152.1454 1
77 Bottom 1503.525 11 88 Top 1706.63 12 99 Bottom 10021.13 72
78 Top 4274.028 31 89 Bottom 6050.037 44 99 Top 31.7917 0
78 Bottom 1843.993 13 89 Top 1503.042 11 100 Bottom 10335.63 74
79 Top 3990.569 29 90 Bottom 6466.62 47 100 Top 0 0
79 Bottom 2190.939 16 90 Top 1308.435 9 101 Bottom 10627.66 76
80 Top 3709.288 27 91 Bottom 6883.605 50 101 Top 0 0
80 Bottom 2544.049 18 91 Top 1124.468 8 102 Bottom 10895.98 78
81 Top 3430.742 25 92 Bottom 7310.719 53 102 Top 0 0
81 Bottom 2902.964 21 92 Top 962.5553 7 103 Bottom 11139.42 80
82 Bottom 3267.285 24 93 Bottom 7739.214 56 103 Top 0 0
82 Top 3155.527 23 93 Top 815.6824 6 104 Bottom 11356.92 82
83 Bottom 3636.569 26 94 Bottom 8158.808 59 104 Top 0 0
83 Top 2884.266 21 94 Top 675.3281 5 105 Bottom 11547.5 83
55. 84 Bottom 4010.328 29 95 Bottom 8565.112 62 105 Top 0 0
84 Top 2617.622 19 95 Top 538.8761 4 106 Bottom 11710.29 84
85 Bottom 4394.272 32 96 Bottom 8956.014 64 106 Top 0 0
85 Top 2362.532 17 96 Top 406.0257 3 107 Bottom 11844.53 85
2. Prestressed reinforced arrangements
1. Steel beam Layout:
Because no method in bridge prestressed post-tensioned, prestressed steel
bar prestressing horizontal spacing between, should guarantee the maximum aggregate in conc
rete in concrete can go through. Settings for the post-tensioning prestressing steel pipe
Should be guided by the following principles:
① Longitudinal reinforcement of prestressed steel beams for the structure of the main, for eas
e of design and construction, symmetric beam, bolt-head layout as close as possible to stress;
② When arranged in a cross section, straight beam near the top position, bending beams in or
near the webs, easy to bend under anchorage;
③ the horizontal spacing between the straight-pipe shall be not less than 40mm, and not less
than 0.6 times times the pipe diameter; for embedded corrugated metal pipe
And vertically between the two pipes superimposition;
④ Cross-sectional area of the pipe diameter should not be less than twice of prestressed steel
area times;
⑤ Steel beam layout shall comply with construction requirements
47
56. 2. Arrangement of steel beams:
By prestressed steel beam estimates table known, full bridge prestressed steel beam up at for
87 root, take for 90 root, so, pre buried pipeline used metal corrugated tube, each root
corrugated tube set 9 root prestressed steel beam, forces maximum at layout 10 root
corrugated tube; anchor pad form used, installation aperture for M10, installation hole from for
135mm; anchor Board used,; tension end anchor with used OVM13-9 anchor with; tension Jack
model for YCW150B.
(1) Cross and bearing arrangement of prestressed steel beam
Prestressing of post-tensioned prestressed concrete flexural pipe layout should
be in conformity with the road
bridge in respect of the relevant structural requirements,reference the existing design drawings
and the structural requirements of the bridge Board, cross (see Figure 5-
1), and the support section (see Figure 5-2) preliminarylayout of the prestressing steel.
Cross section prestressed steel beam (in mm)
Bearing calculation of prestressed steel beam position (in mm) 48
57. (2) The steel beam vertical bend location and tilt computing
1. Steel beam crooking shapes, bend angle and its bend radius
Using the straight to the Arc of the curve bend the way to make the prestressed reinforced
pre-force Better anchor and anchor plate’s aao, prestressed reinforced the vertical angle bend
Derived Rust Inhibitor steel beam bending radius are taken to :
Down on the property Make sure that the cable anchor point
Distance from the point of the horizontal distance:
Down on the property Determine if the bent wires start point to the point
of the horizontal distance:
Therefore, bend the start point to the anchor point of the horizontal distance:
In accordance with the nature of the arc tangent figure, bend points along the lines for the
direction to lead the distance and bend the start point to the point of the horizontal distance
from the wire is equal, and therefore, bent wires for the point-to-point of the horizontal
distance:
In this design all the main spar prestressed Steel Vertical bend with the above calculations.
49
80 mmRN 15000
0cot cLd
mmcLd 14238cot200cot 0
2
tan 0
2
RLb
mmRLb 10494tan15000
2
tan 0
2
mmLLL bdw 2472104914232
mmLL bb 10398cos1049cos 021
58. (3) Steel beam bending the position of the flat and flat bent corners
City backplane or top of the twisted steel in cross-market in or support base section in the
same level of, and in, when the majority of anchor in web anchor center line on the steel in
order to achieve this kind of tendon way centers are not in Web line prestressing steel strand
must be transferred from another location, turn into the side of the connection center line, in
order to facilitate the construction of the pipeline furnished prestressed abdominal panel
center on both sides of the line and the twisted steel flat bent in the same form.
Prestressed steel roof 5-55-Shu Ping bend as shown in Figure 7 below, shown in bottom plate of
prestressed steel Shu Ping bend as shown in Figure 5-7. For N2, N4,N11, N13,
the offset distance of 12cm, connected to
the two adjoining circular curve, circular curve radius R=1878cm, bending angle of arc in each p
aragraph
58.4
150
1878
sinsin arc
l
R
arc . For N1, N1,
the offset distance is 24cm, also uses a two-stage connected to
the arc, arc RADIUSR=3756cm, bending angle of arc in each paragraph
58.4
300
3756
sinsin arc
l
R
arc
. N5, N15 steel beam, steel beams, anchoring of roof and floor respectively.
Due to symmetric reinforcement on both sides in
the middle section, so the steel beams are not drawn in the figure on the right in the middle.
In accordance
with the above calculation of the shaft bending and bending, arrangement of prestressed
steel beam welded connction, all the bridge section of prestressed steel beam known as shown
in table 5-2. Due to the full-
bridge arrangement ofsteel cross section in symmetrical, so that only the left half of
the bridge span steel beam arrangement.
Left half of the bridge span prestressed steel strands of layout tables
Section
TopLayer LowerNumbersOfthe bar
a=10 a=30 a=10 a=30
0.5 2 0 4 0
63. Select 1 (full beam) , steel beam layout (see figure, and 5-8, and 5-9) is shown.
1 Calculation of prestressed steel beam position (in cm)
8 calculation of prestressed steel beam position (in cm)
55
64. 4. Non-prestressed reinforced estimations and placement
(1) Non-prestressed reinforced estimate
Press the component load carrying capacity limit status request estimate Non-prestressed
reinforced quantity:
In determining the number of prestressed reinforced non-prestressed reinforced on the
basis of section is carrying capacity limit state's requirements to determine,
Set prestressed reinforced and non-prestressed reinforced the joint effort to point to the
bottom edge of the distance of the Section you have
The case of cross-sectional area of the press into glyphs sections, such as shown in the
figure GA5-11c:
① The equivalent of panel thickness:
② On the Support area per capita assessments on the wings, the equivalent
on wing panel thickness:
③ The support area per capita assessments on the wings, the equivalent of
the wing panel thickness:
The assumption that the equivalent sections for the first category of T type section by
formula, X computing pressure areas is highly
tertiary
56
mma 80
mmahh 27208028000
cmb 80240
cmhf 86.22
80920
22060
20
上
cmhf 4.62
500
2060
60
下
20
'
0 xhxbfM fcdd
2272092004.22103.377700.1 6
xx
65. Job-seekers could read as:
Based on the load carrying capacity of the Section is the computing needs of non-
prestressed reinforced area of:
Visible, Full DR simply press the construct Configuration vertical non-prestressed
reinforced.
(2) Non-prestressed reinforced furnished
In accordance with the reference of the ±5- Reinforced concrete road and prestressed
concrete bridge design specification for Covered by 9.3.6, 9.3, 8, of the regulations on the basis
of construction to configure the non-prestressed reinforced.
57
mmhmmx f 6.22824.68 上
0
330
12600126024.6892004.22
'
sd
ppdfcd
s
f
Afxbf
A
66. Chapter#7: Section load carrying capacity limit status calculations
1.A cross-section, load calculations
The maximum torque curve of the Section are sectional load carrying capacity calculations.
(1) For pressure areas height x
First press the first category of T-Sectional Leung, omitting the construction of steel impact
calculated by concrete pressure areas height, namely: skip x
Pressure areas are all located on the flange on the inside of the description is indeed the
first class T Type section,.
(2) Are cross-sectional load calculations
The Support Block-section prestressed reinforced diagram See Figure prestressed
reinforced the joint force to point to the distance from the top edge of the section,
(cross the placement of the level of steel
As can be seen from table 4-2, Dr Support Section to bend the torque converter portfolio
design values the mobile phone crashes occasionally sectional flexural
load:
(A ratio of 6 to 1
58
mmhmm
bf
AfAf
x f
fcd
ssdppd
6.22877
92004.22
0330126001260
上
mma 100
mkNMd 3.37770
20
'
xhxbfM fcdu
3.337703.337700.142233
1042233
27727007792004.22
0
6
dMmkN
mmN
67. Visible, stand-section is sectional load carrying capacity to meet the requirements.
2. A cross-sectional load calculations
(1) Support slanting sectional shear load calculations
First, in accordance with the formula for cross-sectional shear strength upper and lower
limits of the review, namely,
(A ratio of 6 to 2
In, Drug Drama
- Concrete Strength Rating by the 5050MPAmanagement C
- Conversion of the section of the Plate Thickness b= 800mm to operate
- corresponding to the combination of the values of the shear the cross-sectional
effective height,
- Increase the factor by prestressed Drug Drama
- Concrete Tensile Strength value by Design
Therefore Be:
Calculations show that, sectional dimensions satisfy the requirements but you need to
configure anti-cut steel,
59
0,
3
002
3
1051.0105.0 bhfVbhf kcudtd
kNVd 4668
kcuf ,
b
0h
mmahh 270010028000
2 25.12
tdf MPaftd 83.1
kNVd 466846680.10
dtd VkNbhf 0
3
02
3
5.2470270080083.125.1105.0105.0
dkcu Vbhf 0
3
0,
3
5.77892700800501051.01051.0
68. A cross-sectional shear load press boards (6:3 Computing
(6) Than
In, (6-4)
(6)
Including: - The ability of bend torque impact factor, = 1.0
- Increase the factor by prestressed =1.25
- Pressure flange impact coefficient, 1.1
A dual-band clamp diameter of 14mm limbs of HRB335 steel = 280MPAspacing tertiary
= 100mm, The Tertiary
And as a result of the so tertiary
As a result of the support of the non-prestressed reinforced the curves, therefore vpd = 0
,
60
pdcsd VVV 0
svsvkcucs ffpbhV ,0
3
321 6.021045.0
ppdpdpd AfV sin1075.0 3
1 1
2 2
3 3
583.0
2700800
12600
100100100
0
bh
AAA
p
spbp
svf
vs
2
8.3079.1532 mmAsv
00385.0
8000100
8.307
bs
A
v
sv
sv
139.08sinsin
p
28000385.050583.06.0227008001045.01.125.10.1 3
csV
kN35.5656
kNVV dcs 466835.5656 0
69. Support of the city of shear the largest bevel-Section to meet the requirements of the Anti-
cut, non-prestressed reinforced as the bearer of the construction of the reserve is not to be
taken into account.
61
70. Chapter#8. Calculation of prestressed steel beam loss
Prestressed beam tensioning control stress, in the light of the documentation of the ±5-
Reinforced concrete and prestressed concrete road bridge covered by the relevant provisions of
the design specification
The component in the pre-load of stress prestressed steel strand of anchor the control
strain relief should be consistent with,
The
As a result of the construction of the tensioning prestressed after Zhang law, so on the
basis of reference [5], para. 6.2. 1, shall calculate the following losses: prestressed
Prestressed reinforced with a pipe friction between the wall Rust inhibitor, anchorage
deformed steel retracted and seam Compression the flexibility of the rust inhibitor concrete
Compression Rust Inhibitor prestressed reinforced the stress Rust Inhibitor concrete
shrinkage and Xu change Log in first.
(1) Pipes with steel prestressed wall between the friction loss
Press the norms, is calculated as follows:
In, - In the prestressed reinforced anchor tension control stress
- 6.7 prestressed reinforced with a pipe between the walls of the coefficient of friction
- From the tensioning end-to calculate the sectional curve Pipes section of the angle of
the Trans condylar tangent and the red particle diameter
--Tubes per meter local deviation of friction Impact Factor 62
b
ycon R75.0
MPacon 1395186075.0
1l
2l
4l 5l
6l
1l
]1[1
kx
conl e
con
k
71. - from the tensioning end-to calculate the length of the pipe sections of m), is an
approximate read its longitudinal axis in the projection on the length.
The cross-section and support beam and pipe prestressed steel wall between the friction
loss the results of the calculations such as tables, ##, 7-2.
Steel beam
number
2 N 6 9.22° 0.25 0.0015 9 1395 73
68.2
N 27 8° 0.25 0.0015 6 1395 59.9
2 N 8 9.22° 0.25 0.0015 12 1395 78.9
2 N 9 9.22° 0.25 0.0015 17 1395 88.7
N 210 0 0.25 0.0015 19.5 1395 40.2
Steel beam
number
N 21 9.22° 0.25 0.0015 13 1395 80.9
62.2
2 N 2 9.22° 0.25 0.0015 5.5 1395 66
2 N 3 8° 0.25 0.0015 3 1395 53.9
N 24 9.22° 0.25 0.0015 8 1395 71
2 N 5 0 0.25 0.0015 19 1395 39.2
(2), a straight line from the steel prestressed anchorage deformed steel retracted and
seamcompression loss arising from the strain relief
In, - prestressed reinforced the effective length of
- The Anchor head to distort steel retracted and seam
compression value, 63
x
1l
k x con 1l 1l
k x con 1l 1l
2l
pl E
l
l
2
l
l
Cross-sectional friction loss in the strain relief
Table 7-11l
Support Housing Section friction loss strain relief
Table 7-21l
72. Table 6.2. 3, 6 on each side of the steel retracted and anchorage deformation of the
inflection values in mm. The cross-section and support by the anchorage deformation, steel and
retract and seamcompression loss arising from the strain relief for calculations, the Results
Table 7-3, 7-4 below.
Steel beam
number
2 N 6 2 x 6 18000 195×105 130
124
N 27 2 x 6 12000 9556x 105 195
N 28 2 x 6 24000 195×105 97.5
2 N 9 4×6 34,000 195×105 1.376
2 N 10 2 x 6 39000 9556x 105 60
Steel beam
number
N 21 4×6 26000 195×105 180
219.2
N 22 2 x 6 11000 9556x 105 212.7
N 23 2 x 6 6000 195×105 390
2 N 4 2 x 6 16000 9556x 105
Additional
commitment
authority146.3
N 25 4×6 28000 9556x 105 167.1
(1) After the French prestressed concrete components when using batch tension before
tensioning of steel by Chang-down after the steel concrete prestressing compression
resilient loss,
64
2l
l l pE 2l 2l
l l pE 2l 2l
4l
pcEpl
m
2
1
4
Cross-sectional prestressed losses. Table 7-
3.
2l
Support Housing Section prestressed losses the
calculation of the
2l
73. In, m- prestressed reinforced tensioning batch number of them
- Prestressed reinforced concrete and Modulus Of Elasticity Modulus of
elasticity of the ratio of Cheung-down when the actual strength of
concrete level, 6.7 Calculations The strength of the design is
assumed to be 90%, i.e. = C, 45 Look up table was, =
3.5×104MPAor tertiary Drug Drama
- in the calculation of the first section of the gravity of the tension of steel,
after the tension arising from the installments of steel concrete law to
stress MPA
Including: - the pre-load prestressed reinforced by the joint forces of the Strain Relief
Drug Drama
- The pre-load prestressed reinforced the synergies of strain relief To Section to
the distance between the mandrel.
(1) The cross-section of they are:
Down on the property Guangdong Guangdong
Guangdong
A:
Therefore, 65
Ep
ckf '
ckf '
ckf '
cE'
82.5
1035.3
1095.1
4
5
Ep
pc
m
IeNAN
m
ppppc
pc
2
pN
pllconp AN )( 21
pe pN
mmep 690 2
12600109140 mmAp
6
105.4 A 412
1043.1 mmI
kNN p 1515528012600)1242.681395(
MPa
m
pc
pc 84.0
10
10434.174015155280105.415155280 1226
MPa
m
pcEpl 0.2284.082.5
2
110
2
1
4
74. (2) To support cross-sections are:
Down on the property Guangdong Guangdong
Guangdong
A:
Therefore,
(1) Steel slack caused by the loss of prestressed
(4 of 7)
And - Pull Coefficient, a time when pulled,
- Steel Slack Factor for Grade Ⅱslack, city), the slack
- The power when the anchor for the rear sheet steel strain relief law components,
① The cross-section of the are:
The
(2) To support cross-sections are:
66
mmep 1359 2
12600109140 mmAp
6
108.6 A 412
10772.7 mmI
kNN p 1403136012600)2.2192.621395(
MPa
m
pc
pc 591.0
10
10772.7135914031360108.614031360 1226
MPa
m
pcEpl 47.15591.082.5
2
110
2
1
4
5l
pe
pk
pe
l
f
26.052.05
0.1
3.0
pe
421 lllconpe
MPape 8.11800.221242.681395
MPal 8.248.118026.0
1860
8.1180
52.03.00.15
MPape 13.109847.152.2192.621395