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1、l=JIM連續(xù)箱梁鋼絞線伸長(zhǎng)量計(jì)算書、張拉順序根據(jù)設(shè)計(jì)服務(wù)函190#中明確:現(xiàn)澆箱梁張拉順序?yàn)橥?-內(nèi)4-外2-內(nèi)2-外3-內(nèi)3-外1-內(nèi)1 ,外側(cè)腹板同一編號(hào)預(yù)應(yīng)力筋對(duì)稱張拉。二、主要計(jì)算公式1.伸長(zhǎng)量計(jì)算公式:L= ( PpxL ) / ( EpXAp)L :鋼絞線伸長(zhǎng)量,mmPp :鋼絞線平均張拉力,NL :鋼絞線長(zhǎng)度,mmEp :鋼絞線彈性模量,MPa,般圖紙中有說(shuō)明,但以試驗(yàn)室實(shí)測(cè) 數(shù)據(jù)為準(zhǔn);Ap :鋼絞線截面積,單根S5.24鋼絞線有效截面積為140啞22.平均張拉力Pp=Px 1-e-(kL+照) /(KL+p0)P:張拉端張拉力,N1、N2、N3、N4鋼束單根鋼絞線張拉力P=1

2、860*0.72*140=187.5KNK:孔道摩擦影響系數(shù);:鋼絞線與孔道的摩擦系數(shù);B:從張拉端至計(jì)算截面的孔道切線轉(zhuǎn)角之和,當(dāng)有平彎時(shí)同樣參與計(jì)算,Rad(弧度)。三、長(zhǎng)度計(jì)算(一)預(yù)應(yīng)力鋼絞線示意圖對(duì)頂中(一)預(yù)應(yīng)力鋼絞線示意圖對(duì)頂中心N1鋼束長(zhǎng)度1、第一(四)跨(20m)計(jì)算長(zhǎng)度1順二(5700-200) /cos6.2773 -1097=4436 mmLbci =2Xn X20000X6.2773。/360 =2191mmLcdi=6760- (1097+965) =4698 mmLDE1=1929mmLef1=6200/ cos5.5275 - (965+483) =4780mm

3、LFG1=965mmLGH1=2600/2-483=817mmLj1= Lab1 + Lbc1 + LGH1=4436+2191+4698+1929+4780+965+817=19816mm2、第二(三)(30m)跨計(jì)算長(zhǎng)度Lab2=2600/2-627=673 mmLBC2 =2Xn X10000X7.1705。/360 =1251mmLcd2=6200/ cos7.1705 - (627+1253) =4369 mmLde2=2Xn X20000X7.1705。/360 =2503mmL =15000- (1253+1253) =12494mmLj2= (Lab2 + Lbc2 + LEF

4、2/2)X2=(673+1251+4369+2503+12494/2)X2=30086mm3、全聯(lián)計(jì)算長(zhǎng)度Lj (Lji + L/X2=(19816+30086)X2=99804mm4、下料長(zhǎng)度L= 2 XL 工 + Lj =1000X2+99804=101804mmN2鋼束長(zhǎng)度1、第一(四)跨(20m)計(jì)算長(zhǎng)度L = (4700-200) /cos5.8996 -1031=3493 mmAB1Lbc1 =2Xn X20000X5.8996 /360 =2059mmLcd1=8760- (1031+788) =6942 mmLde1=2Xn X20000X4.514 /360 =1576mmL

5、ef1=5700/ cos4.514 - (788+394) =4536mmLfg1=2Xn X10000X4.514 /360 =788mmLGH1=1600/2-394=406mmLj1= Lab1 + Lbc1 + LGH1=3493+2059+6942+1576+4536+788+406=19800mm2、第二(三)(30m)跨計(jì)算長(zhǎng)度Lab2=1600/2-499=301 mmLBC2 =2Xn X10000X5.7106 /360 =996.7mmLcd2=5700/ cos5.7106 - (499+998) =4231 mmLde2=2Xn X20000X5.7106 /360

6、 =1993mmLef2=17000- (998+998) =15004mmLj2= (Lab2 + Lbc2+Lef2/2)X2=(301+996.7+4231+1993+15004/2)X2=30047.4mm3、全聯(lián)計(jì)算長(zhǎng)度Lj (Lj1 + L/X2=(19800+30047.4)X2=99694mm4、下料長(zhǎng)度L= 2 XL 工 + Lj =1000X2+99694=101694mmN3鋼束長(zhǎng)度1、第一(四)跨計(jì)算長(zhǎng)度Lab1= (3700-200) /cos5.3051 -463=3052 mmLbc1 =2Xn X10000X5.3051 /360 =925.9mmLcd1=11

7、760- (463+388) =10909 mmLde1=2Xn X 10000X4.4474 /360 =776mmLef1=4500/ cos4.4474 - (388+844) =3281mmLfg1=2Xn X 10000X9.6533 /360 /2=842mmLj1= Lab1 + 虹 + LFG1=3052+925.9+10909+776+3281+842=19785.9mm2、第二(三)跨計(jì)算長(zhǎng)度Lab2=2Xn X 10000X9.6533 /360 /2=842mmLBC2 =4500/ cos5.2059 - (844+455) =3220 mmLcd2=2Xn X 10

8、000X5.2059 /360 =908.6mmLde2=21000- (455+455) =20090mmLef2=2Xn X 10000X5.2059 /360 =908.6mmLfg2 =4500/ cos5.2059 - (911+455) =3152.6 mmLgh2=2Xn X 10000X10.4118 /360 /2=908.6mmLj2= Lab2 + Lbc2 +Lgh2=842+3220+908.6+20090+908.6+3152.6+908.6=30030.4mm3、全聯(lián)計(jì)算長(zhǎng)度Lj (Lj1 + Lj2)X2=(19785.9+30030.4)X2=99632.6m

9、m4、下料長(zhǎng)度L= 2 XL 工 + Lj =1000X2+99632.6=101632.6mm、N4鋼束1、第一(四)跨計(jì)算長(zhǎng)度Lab1= (2200-200) /cos5.2848 -462=1547 mmLbc1 =2Xn X 10000X5.2848 /360 =922mmLcd1=13760- (462+312) =12986 mmLde1=2Xn X10000X3.5763 /360 =623mmLef1=4000/ cos3.5763 - (312+625) =3070.8mmLfg1=2Xn X10000X7.1527 /360 /2=624mmLj1= Lab1 + 虹 +

10、LFG1=1547+922+12986+623+3070.8+624=19772.8mm2、第二(三)跨計(jì)算長(zhǎng)度Lab2=2Xn X10000X7.1527 /360 /2=624mmLBC2 =4000/ cos3.5763 - (312+625) =3070.8 mmLcd2=2Xn X10000X3.5763 /360 =623mmLde2=22000- (312+312) =21376mmLef2 =2Xn X10000X3.5763 /360 =623mmLfg2=4000/ cos3.5763 - (312+625) =3070.8 mmLgh2 =2Xn X10000X7.152

11、7。/360 /2=624mmLj2= LAB2 + LBC2 +1皿=624+3070.8+623+21376+623+3070.8+624二30011.6mm3、全聯(lián)計(jì)算長(zhǎng)度Lj (Lj1 + L/X2=(19772.8+30011.6)X2=99568.8mm4、下料長(zhǎng)度L= 2 XL 工 + L =1000X2+99568.8=101568.8mm三、伸長(zhǎng)值計(jì)算根據(jù)試驗(yàn)檢測(cè)報(bào)告可查得鋼絞線的平均彈性模量為:E=2.01X105,截面積A=140mm2o根據(jù)橋規(guī)JTG/T F50-2011附表C-1可查得:p=0.17; k=0.0015。、工作段長(zhǎng)度為千斤頂長(zhǎng)度650mm,工具錨厚度5

12、0mm。工作段 為直線則P工二P=187.5KN/L 工=187500X700/ (201000X140) =4.6mm、N1鋼束1、AB段位于直線,則Pab=P=187.5KNLab=(PabXLAB)/(EpXAp)=187500X4436/ (201000X140) =29.5mm2、BC 段為曲線,0 =6.2773Xn /180=0.1096(Rad);則根據(jù) PBC=PX1-e-(5 0) /(KL+p 0 )P =187.5 X (1-e-(0.0015X2.191+o.17X0.1096)/( 0.0015 X 2.191+0.17 X 0.1096)=185.788KNLbc

13、=185788X2191/ (201000X140) =14.4mm3、CD段為直線,C點(diǎn)位于張拉端Pcd=2 X Pbc-Pb=2 X185.788-187.5=184.076KNLcd=(PcdXLCD)/(EpXAp)=184076X4698/ (201000X140) =30.7mm4、DE 段為曲線,0 =5.5275Xn /180=0.0965(Rad);則根據(jù) PDE=PX1-e-(5 0) /(KL+p 0 )Pde=184.076X (1-e-(0.00i5Xi.929+0.i7X0.0965)/( 0.0015 X 1.929+0.17X0.0965)=182.311KNL

14、de=182311X1929/ (201000X140) =12.5mm5、EF段為直線,E點(diǎn)位于張拉端Pef=2 X Pde-Pd=2 X182.311-184.076=180.546KN地ef=(PefXLef)/(EP地ef=(PefXLef)/(EPXAp則根據(jù) PFG=PX1-e-(5 0) /(KL+p 0 )Pfg=180.546X (1-e-(0.00i5X0.965+0.i7X0.0965)/( 0.0015 X0.965+0.17X0.0965)=178.528KN Lde=178528X965/ (201000X140) =6.1mm7、GH段為直線,G點(diǎn)位于張拉端Pgh

15、=2 X Pfg-Pf=2 X178.528-180.546=176.51KNLgh=(PghXLGH)/(EpXAp)= 176510X1490/ (201000X 140) =9.3mm8、HI 段為曲線,0 =7.1705Xn /180=0.1251(Rad);則根據(jù) PHI=PX1-e-(kL+p0) /(KL+p 0 )Phi=176.51X (1-6-(0.0015X1.251+0.17X0.1251)/( 0.0015 X 1.251+0.17 X 0.1251)=174.981KNLhi=174981X1251/ (201000X140) =7.8mm9、 IJ段為直線,I點(diǎn)位

16、于張拉端P廣2 X PhPh=2 X174.981-176.51=173.452KNLIJ=(PIJXLIJ)/(EpXAp)= 173452X4369/ (201000X140) =26.9mm10、JK 段為曲線,0 =7.1705Xn /180=0.1251(Rad);則根據(jù) PjK=PX1-e-(5 0) /(KL+p 0 )Pjk=173.452X (1-e-(0.00i5X20503+0.i7X0.i25i)/( 0.0015 X 20503+0.17 X0.1251)=171.370KNLjk=171370X2503/ (201000X140) =15.2mm11、KL段為直線,

17、K點(diǎn)位于張拉端Pkl=2 X Pjk-Pj=2 X171.370-173.452=169.288KN/Lkl=(PklXLkl)/(EpXAp)=169288X 12494/ (201000X140) =75mm12、LM 段為曲線,0 =7.1705Xn /180=0.1251(Rad);則根據(jù) PLM=PX1-e-(5 0) /(KL+p 0 )Plm=169.288X (1-e-(0.00i5X2.503+0.i7X0.i25i)/( 0.0015X2.503+0.17X0.1251)=167.1KNLlm=167100X2503/ (201000X140) =14.9mm13、MN段為

18、直線,M點(diǎn)位于張拉端Pmn=2 X Plm-Pl=2 X167.1-169.1=165.1KNLmn=(PmnXLMN)/(EpXAp)= 165100X4369/ (201000X 140) =25.6mm14、NO 段為曲線,0 =7.1705Xn /180=0.1251(Rad);則根據(jù) PNo=PX1-e-(5 0) /(KL+p 0 )Pno=165.1X (1-e-(0.0015X1.251+0.17X0.1251)/( 0.0015 X 1.251+0.17 X0.1251)=163.7KNLno=163700X1251/ (201000X140) =7.3mm15、OP段為直線

19、,O點(diǎn)位于張拉端Pop=2 X Pno-Pn=2 X163.7-165.1=162.3KNLOp=(POpXLOp)/(EpXAp)=162300X673/ (201000X140) =3.9mm16、理論伸長(zhǎng)值為/L=(/L工+/Lab+/Lbc+/Lop)X2=(4.6+29.5+14.4+30.7+12.5+30.6+6.1+9.3+7.8+26.9+15.2+75+14.9+25.6+7.3+3.9) X 2=628.6mm、N2鋼束1、AB段位于直線,則Pab=P=187.5KN/Lab=(PabXLAB)/(EpXAp)=187500X3493/ (201000X140) =23m

20、m2、BC 段為曲線,0 =5.8996Xn /180=0.103(Rad);則根據(jù) PBC=PX1-e-(5 0) /(KL+p 0 )Pbc=187.5X (1-e-(0.0015X2.0517X0.103)/( 0.0015X2.059+0.17X0.103)=185.582KN/Lbc=185582X2059/ (201000X140) =13.5mm3、CD段為直線,C點(diǎn)位于張拉端Pcd=2 X PbPb=2 X185.582-187.5=183.664KN/Lcd=(PcdXLCD)/(EpXap)=183664X6942/ (201000X 140) =45mm4、DE 段為曲線

21、,0 =4.514Xn /180=0.0788(Rad);則根據(jù) PDE=PX1-e-(5 0) /(KL+p 0 )Pde=183.664X (1-e-(0.0015X1.576+0.17X0.0788)/( 0.0015 X 1.576+0.17 X0.0788)=182.224KNLde=182224X1576/ (201000X140) =10mm5、EF段為直線,E點(diǎn)位于張拉端Pef=2 X Pde-Pd=2 X182.224-183.664=180.784KN地EFfgEAp)=180784X4536/ (201000X140) =29mm 6、FG 段為曲線,0 =4.514Xn

22、 地EFfgEAp則根據(jù) PFG=PX1-e-(5 0) /(KL+p 0 )Pfg=180.784X (1-e-(0.0015X0.788+0.17X0.0788)/( 0.0015 X 0.788+0.17 X0.0788)=179.472KN /L =179472X788/ (201000X140) =5mmDE7、GH段為直線,G點(diǎn)位于張拉端Pgh=2 X Pfg-Pf=2 X179.472-180.784=178.16KN/LGH=(PGHXLGH)/(EpXAp)=178160X707/ (201000X140) =4.5mm8、HI 段為曲線,0 =5.1706Xn /180=0

23、.0902(Rad);則根據(jù) PHI=PX1-e-(kL+p0) /(KL+p 0 )P =178.16X (1-e-(0.0015X0.9967+0.17X0.0902)/( 0.0015 X 0.9967+0.17X0.0902)=176.669KN/Lhi=176669X996.7/ (201000X140) =6mm9、IJ段為直線,I點(diǎn)位于張拉端P廣2 X PhPh=2 X 176.669-178.16=175.178KNLIJ=(PIJXLIJ)/(Epxap)=175178X4231/ (201000X140) =26mm10、JK 段為曲線,0 =5.1706Xn /180=0

24、.0902(Rad);則根據(jù) PJK=PX1-e-(5 0) /(KL+p 0 )Pjk=175.178X (1-e-(0.0015X1.993+0.17X0.0902)/( 0.0015 X 1.993+0.17 X0.0902)=173.582KNLjk=173582X1993/ (201000X140) =12mm11、KL段為直線,K點(diǎn)位于張拉端Pkl=2 X PjPj=2 X173.582-175.178=171.986KNLKL=(PKLXLKL)/(EpXAp)=171986X 15004/ (201000X140) =91.7mm12、LM 段為曲線,0 =5.1706Xn /

25、180=0.0902(Rad);則根據(jù) PLM=PX1-e-(5 0) /(KL+p 0 )Plm=171.986X (1-e-(0.0015X1.993+0.17X0.0902)/( 0.0015 X 1.993+0.17 X0.0902)=170.419KNLlm=170419X1993/ (201000X140) =12mm13、MN段為直線,M點(diǎn)位于張拉端Pmn=2 X Plm-Pl=2 X170.419-171.986=168.852KN/LMN=(PMNXLMN)/(EpXAp)= 168852X4231/ (201000X 140) =25mm14、NO 段為曲線,0 =5.71

26、06Xn /180=0.0902(Rad);則根據(jù) PNO=PX1-e-(kL+p0) /(KL+p 0 )Pno=168.852X (1-e-(0.00i5X0.9967+0.i7X0.0902)/( 0.0015X0.9967+0.17X0.0902)=167.439KN/Lno=167439X996.7/ (201000X140) =5.9mm15、OP段為直線,O點(diǎn)位于張拉端Pop=2 X Pno-Pn=2 X167.439-168.852=166.026KNLOp=(POpXLOp)/(EpXAp)=166026X301/ (201000X140) =1.8mm16、理論伸長(zhǎng)值為/L

27、=(/L工+/Lab+/Lbc+/Lop)X2=(4.6+23+13.5+45+10+29+5+4.5+6+26+12+91.7+12+25+5.9+1.8)X2=630mm、N3鋼束1、AB段位于直線,則Pab=P=187.5KN/Lab=(PabXLAB)/(EpXAp)=187500X3052/ (201000X140) =20mm2、BC 段為曲線,0 =5.3051Xn /180=0.0926(Rad);則根據(jù) PBC=PX1-e-(5 0) /(KL+p 0 )Pbc=187.5X (1-e-(0.00i5X0.9259+0.i7X0.0926)/( 0.0015X0.9259+0

28、.17X0.0926)=185.889KN/Lbc=185889X925.9/ (201000X140) =6mm3、CD段為直線,C點(diǎn)位于張拉端Pcd=2 X PbPb=2 X185.889-187.5=184.278KN/LCD=(PCDXLCD)/(EpXAp)=184278X 10909/ (201000X140) =71mm4、DE 段為曲線,0 =4.4474Xn /180=0.0776(Rad);則根據(jù) PDE=PX1-e-(5 0) /(KL+p 0 )Pde=184.278X (1-e-(0.00i5X0.776+0.i7X0.0776)/( 0.0015X0.776+0.1

29、7X0.0776)=182.962KN/L =182962X776/ (201000X140) =5mmDE5、EF段為直線,E點(diǎn)位于張拉端Pef=2 X Pde-Pd=2 X182.962-184.278=181.646KN/Lef=(Pef/Lef=(PefXLef)/(EPXAp6、FG 段為曲線,0 =9.6533Xn /180=0.1685(Rad);則根據(jù) PFG=PX1-e-(5 0) /(KL+p 0 )Pfg=181.646X (1-e-(0.00i5Xi.684+0.i7X0.i685)/( 0.0015X 1.684+0.17X0.1685)=178.844KN /Lde

30、=178844X1684/ (201000X140) =10.7mm7、GH段為直線,G點(diǎn)位于張拉端Pgh=2 X Pfg-Pf=2 X178.844-181.646=176.042KN/LGH=(PGHXLGH)/(EpXAp)=176042X3220/ (201000X140) =20mm8、HI 段為曲線,0 =5.2059Xn /180=0.0909(Rad);則根據(jù) PHI=PX1-e-(5 0) /(KL+p 0 )Phi=176.042X(1- e-(0.0015X0.9086+0.17X 0.0909)/( 0.0015X0.9086+0.17X0.0909)=174.570K

31、N/Lhi=174570X908.6/ (201000X140) =5.6mm9、 IJ段為直線,I點(diǎn)位于張拉端Pij=2 X Phu-Ph=2 X174.570-176.042=173.098KN10、JK 段為曲線,0 =5.2059Xn /180=0.0909(Rad);則根據(jù) PjK=PX1-e-(5 0) /(KL+p 0 )Pjk=173.098X (1-e-(0.00i5X0.9086+0.i7X0.09096)/( 0.0015X0.9086+0.17X0.0909)=171.651KNLjk=171651X908.6/ (201000X140) =5.5mm11、KL段為直線

32、,K點(diǎn)位于張拉端Pkl=2 X PJK-Pj2 X171.651-173.098=170.204KNLkl=(PklXLKL)/(EpXAp)=170204X3152.6/ (201000X140) =19mm12、LM 段為曲線,0 =10.4118Xn /180=0.1817(Rad);則根據(jù) PLM=PX1-e-(5 0) /(KL+p 0 )Plm=170.204X (1-e-(0.0015X1.817+0.17X0.1817)/( 0.0015 X 1.817+0.17X0.1817)=167.375KN/Llm=167375X908.6/ (201000X140) =5.4mm13

33、、理論伸長(zhǎng)值為/L=(/L工+/Lab+/Lbc+/Lop)X 2=(4.6+20+6+71+5+21+10.7+20+5.6+123.6+5.5+19+5.4) X2=634.8mm、N4鋼束1、AB段位于直線,則Pab=P=187.5KN/Lab=(PabXLAB)/(EpXAp)=187500X 1547/ (201000X140) =10mm2、BC 段為曲線,0 =5.2848Xn /180=0.0922(Rad);則根據(jù) PBC=PX1-e-p0) /(KL+p 0 )Pbc=187.5X (1-6-(0.0015X0.922+0.17X0.0922)/( 0.0015 X 0.9

34、22+0.17 X0.0922)=185.91KN/L =185910X922/ (201000X140) =6mmBC3、CD段為直線,C點(diǎn)位于張拉端Pcd=2 X PbPb=2 X185.91-187.5=184.32KN/LCD=(PCDXLCD)/(EpXAp)=184320X 12986/ (201000X140) =85mm4、DE 段為曲線,0 =3.5763Xn /180=0.0624(Rad);則根據(jù) PDE=PX1-e-(5 0) /(KL+p 0 )Pde=184.32X (1-e-(0.00i5X0.623+0.i7X0.0624)/( 0.0015X0.623+0.17X0.0624)=183.26KN/Lde=183260X623/ (201000X140) =4mm5、EF段為直線,E點(diǎn)位于張拉端Pef=2 X Pde-Pd=2 X 183.26-184.32=182.2KN/LEF=(/LEF=(PEFXLEF)/(EPXAP6、

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