金華義烏江大橋計算書(35+95+35m自錨式懸索橋)

懸索橋計算書一、設(shè)計資料(一)計算基本參數(shù)主纜跨徑布置：35m＋95m＋35m加勁梁跨徑布置：32.5m＋95m＋32.5m橋面寬度：0.3m(護(hù)欄)+4.7m(人行道)+8.7m(非機動車道)+0.3m(護(hù)欄)中跨矢跨比：1/10，邊跨矢跨比：1/28.4中跨跨中主纜中心標(biāo)高：74.498m主索鞍頂主纜中心標(biāo)高：83.709m散索鞍頂主纜中心標(biāo)高：71.713m中跨跨中加勁梁設(shè)計標(biāo)高：72.998m豎曲線半徑：R＝3000m吊桿間距5m。(二)計算荷載1、恒載(1)主纜：2.6kN/m(2)加勁梁：標(biāo)準(zhǔn)段為31.5kN/m，跨中35m范圍為34.4kN/m，塔柱附近20m范圍為39.3kN/m(3)橋面二期恒載：行車道板和人行道板集度：35.8kN/m（加勁梁固接前作用的二期恒載不得小于35.8kN/m）其他二期恒載集度：50.9kN/m共計：86.7kN/m(4)縱橋向一個吊點處索夾、錨頭等的自重：11kN/m2、活載：按4.5kN/m2計算得60.3kN/m3、溫度荷載：全橋整體升溫為20℃全橋整體降溫為－25℃(三)結(jié)構(gòu)物理力學(xué)特性1、主纜彈性模量：E＝1.96×108kPa截面積：Ac＝0.0324m22、加勁梁彈性模量：E＝2.1×108kPa標(biāo)準(zhǔn)段縱梁截面特性：A＝0.0812m2，I＝0.125m4跨中加強段縱梁截面特性：A＝0.1198m2，I＝0.1875m4塔柱支點加強段縱梁截面特性：A＝0.1404m2，I＝0.2188m43、索塔混凝土彈性模量：3.5×107kPa鋼彈性模量：2.1×108kPa塔柱截面特性如表－1所示。表－1塔柱材料標(biāo)高（m）面積（m2）慣矩（m4）左塔柱混凝土59.90713.522.7868.90713.522.78鋼68.9070.35680.439370.6250.25020.384475.2110.22440.284379.7110.19900.206182.9290.27680.1678右塔柱鋼60.4070.34153.005768.9070.34151.812875.9070.34151.141882.9290.34150.6392二、主纜和加勁梁內(nèi)力計算采用二維有限元程序計算，計算結(jié)果如表－2～表－9。主纜拉力（kN）表－2左錨碇處左邊跨塔處中跨塔處跨中恒載12465.813019.312561.911756.5活載2529.82651.94332.24026.4溫升-926.7-960.0-631.9-592.1溫降1119.41181.8777.0727.3吊索拉力（kN）表－3左邊跨中跨No.1No.3No.5No.1L/4處L/2處恒載567.2457.5576.5573.6454.0475.8活載136.589.973.2170.4187.7195.2溫升-42.6-38.9-43.6-28.6-21.5-21.2溫降51.447.153.835.825.925.0加勁梁彎矩（kN·m）表－4左邊跨中跨No.1No.3No.5No.1L/4處L/2處恒載-1683.0-6245.6-13764.7-12237.45678.712474.9活載4222.75311.61129.2587.88507.511455.6-4880.5-9868.0-13287.9-12402.0-3212.1-5.4溫升-315.8-1117.3-2803.6-2757.41025.32553.5溫降384.51417.73597.93574.6-1317.3-3343.3左塔柱內(nèi)力表－5塔頂塔底N(m)Q(kN)M(kN·m)N(m)Q(kN)M(kN·m)恒載10155.80016359.219.4226.6活載2658.9-1596.204166.5-1585.6-36591.6-152.7223.501036.8231.85237.5溫升-624.4-267.5119.7-179.5-264.3-5990.0溫降768.0329.30221.0325.47524.3右塔柱內(nèi)力表－6塔頂塔底N(m)Q(kN)M(kN·m)N(m)Q(kN)M(kN·m)恒載10163.80013518.2-16-179.7活載2110.92787.903772.52778.362669.9-74.5-395.601091.4-402.3-8992.9溫升-716.2453.4-127.2-235.2450.610047.5溫降873.9-555.60283.2-552.2-12469.8支座反力（kN）表－7左梁端處支座左塔墩處支座恒載-225.02318.1活載637.22656.7-736.7-213.1溫升-42.12412.9溫降51.1-3019.6位移（m）表－8左塔頂水平位移左梁端水平位移塔墩處加勁梁水平位移中跨l/4處加勁梁撓度中跨l/2處加勁梁撓度活載0.0330.0110.0110.0200.021-0.005-0.012-0.012-0.186-0.251溫升0.005-0.019-0.011-0.028-0.043溫降-0.0070.0240.0150.0360.056內(nèi)力及位移組合表－9纜力（kN）左錨碇處16115左邊跨塔處16853中跨塔處17671吊索拉力（kN）左邊跨No.1755No.4595No.6704中跨No.1780L/4處668L/2處696加勁梁彎矩（kN·m）左邊跨No.12924/-6879No.4484/-17231No.6-9038/-29856中跨No.1-8075/-27397L/4處15212/1149L/2處26484/9126塔底左塔柱軸力(kN)20346剪力(kN)-1831彎矩(kN·m)-42355/12988右塔柱軸力(kN)17056剪力(kN)3213彎矩(kN·m)72538/-21643支座反力左梁端處-1004/463左塔墩處7388/-915三、主纜和加勁梁強度驗算根據(jù)表-9中內(nèi)力組合最大內(nèi)力進(jìn)行強度驗算1、主纜強度驗算Tmax=17671kN（中跨塔處）Ac＝0.0324m2，Ry＝1670Mpa根據(jù)《公路橋涵鋼結(jié)構(gòu)及木結(jié)構(gòu)設(shè)計規(guī)范》（JTJ025-86），鋼索的彎曲應(yīng)力按下式計算：式中：——主纜鋼絲直徑，＝0.005m；E——主纜彈性模量，E＝1.96×105MPa；d——主纜直徑，d＝0.177mR——索鞍彎曲半徑，R＝2.1m代入上式計算：＝25.06MPa主纜彎曲拉力T彎＝25.06×103×0.0324＝811.9kN安全系數(shù)2、加勁梁強度驗算正彎矩以中跨跨中最大，Mmax＝26484kN·m負(fù)彎矩以邊跨最長一根吊桿處最大，Mmin＝-29856·m則跨中處縱梁中軸力為N=26484/1.25=21187.2kNkPa=176.9Mpa<[]=200MPa邊跨最長一根吊桿處縱梁軸力為N=29856/1.25=23884.8kNkPa=170.1MPa<[]=200MPa四、加勁梁撓度計算中跨跨中處加勁梁由活載產(chǎn)生的正負(fù)撓度絕對值之和最大，為0.271m。五、施工控制參數(shù)計算(一)主纜無應(yīng)力長度計算結(jié)果（單位：m）中跨（指兩主索鞍中心之間）：97.144邊跨（指主索鞍中心至散索鞍中心之間）：37.026錨跨（指散索鞍中心至前錨面之間）：22.450全長：216.096(二)空纜狀態(tài)控制參數(shù)計算結(jié)果（主纜中心處控制參數(shù)）主纜架設(shè)前，主索鞍向岸側(cè)的預(yù)偏量為0.130m?？绽|形成后，中跨跨中主纜中心標(biāo)高為75.439米，左邊跨X坐標(biāo)為-65.092米處標(biāo)高為76.623米，右邊跨X坐標(biāo)為65.092米處標(biāo)高為76.623米。(三)空纜索夾安裝位置計算結(jié)果空纜索夾安裝位置編號索夾位置XZ傾角1-72.5702174.2185616.194952-67.5894175.7671618.281623-62.6044977.5116020.286954-57.6174479.4540222.268045-52.6365281.5936724.198756-42.5819982.13849-17.599217-37.5536380.63894-15.590498-32.5256179.33207-13.544959-27.5051578.21748-11.4845510-22.4912277.29279-9.4122411-17.4842776.55593-7.3291512-12.4835976.00504-5.2398313-7.4880875.63882-3.1456514-2.4960775.45597-1.04921152.4948575.456031.04935167.4868775.638893.145861712.4823776.005245.241161817.4830676.556057.330471922.4900177.293029.412572027.5038378.2177911.485512132.5243079.3324013.545112237.5523380.6392815.590662342.5807782.1390117.600792452.6369281.59350-24.198802557.6189479.45344-22.267032662.6064777.51084-20.286412767.5914775.76637-18.28153(四)吊桿成橋應(yīng)力下的下料長度(五)頂推階段及頂推量為確保施工過程中塔柱應(yīng)力不超過容許值，主纜安裝前主索鞍設(shè)置偏向岸側(cè)的預(yù)偏量，且要求中、邊跨加勁梁對稱吊裝、橋面鋪裝也對稱施工。施工過程中以塔頂容許最大水平位移的0.7倍作為控制值，依據(jù)主鞍滑移量歷程曲線來確定主鞍的頂推時間和頂推量，共分三次頂推主索鞍，第一次頂推時間為加勁梁吊裝完成，頂推量為4厘米；第二次頂推時間為人行道板和行車道板安裝完成，頂推量為4厘米；第三次頂推時間為現(xiàn)澆層澆注完成，頂推量為5厘米。(六)各關(guān)鍵階段計算結(jié)果（見附件）1、空纜狀態(tài)2、加勁梁吊裝完成狀態(tài)3、成橋狀態(tài)附件******空纜狀態(tài)計算結(jié)果******結(jié)構(gòu)各部位結(jié)點坐標(biāo)主纜系點號XZ第1跨1-82.5504571.692352-76.2973673.209713-72.5702274.218604-70.0749474.976305-67.5894275.767216-65.0916076.622927-62.6045077.511658-60.1050378.466519-57.6174579.4540610-55.1205180.5077911-52.6365281.5936912-50.1282082.75186主索鞍1與主纜相切點坐標(biāo)位置XZ鞍頂纜底左切點-48.5290583.51016主索鞍中心頂點-47.6302883.71221鞍頂纜底右切點-46.9509783.59930索鞍中心與塔頂中心水平偏心距為-.13028點號XZ第2跨1-45.1140082.971672-42.5819882.138493-40.0726081.371984-37.5536280.638935-35.0438279.968596-32.5256079.332067-30.0188878.757778-27.5051478.217469-25.0010977.7380610-22.4912277.2927711-19.9900776.9071912-17.4842776.5559113-14.9857076.2633614-12.4835976.0050215-9.9870275.8048116-7.4880875.6387917-4.9926175.5302518-2.4960675.4559419.0000075.43880202.4948675.45600214.9914175.53027227.4868775.63887239.9858175.804842412.4823876.005212514.9845076.263512617.4830776.556032719.9888576.907462822.4900177.293002924.9993877.738273027.5038378.217773130.0175678.758133232.5243079.332383335.0425179.968973437.5523380.639273540.0713181.372383642.5807782.139003745.1127882.97224主索鞍2與主纜相切點坐標(biāo)位置XZ鞍頂纜底左切點46.9519583.60057主索鞍中心頂點47.6291983.71277鞍頂纜底右切點48.5299983.50975索鞍中心與塔頂中心水平偏心距為.12919點號XZ第3跨150.1275982.75215252.6369281.59351355.1213880.50737457.6189579.45345560.1068278.46580662.6064877.51084765.0935976.62218867.5914875.76638970.0767174.975641072.5719174.218071176.2983573.209421282.5504571.69235第4跨1-100.9700058.877002-91.5961465.039243-82.5504571.69235第5跨182.5504571.69235291.5961165.039213100.9700058.87700塔墩系點號XZ塔墩11-82.3000071.15300塔墩20-47.6302883.712211-47.4999882.932212-47.4999879.710853-47.4999975.210894-47.5000070.624945-47.5000068.906966-47.5000059.90700塔墩3047.6291983.71277147.4999982.93277247.4999975.90682347.5000068.90689447.5000060.40700塔墩4182.3000071.15300散索鞍一徑向傾角114.90806相對成橋水平偏移距-.05045散索鞍二徑向傾角65.09167相對成橋水平偏移距.05045結(jié)構(gòu)各部位單元累計內(nèi)力塔墩系單元位置(Z)軸力剪力彎矩左側(cè)應(yīng)力右側(cè)應(yīng)力塔墩1:(X=-82.30000)塔墩2:(X=-47.50000)182.929423.59-4.9242.602359.091898.13179.711473.92-4.9226.752526.192236.79279.711473.92-4.9226.752231.421992.46275.211553.19-4.924.602485.742444.64375.211553.19-4.924.601885.711839.50370.625660.11-4.92-17.972132.352312.86470.625660.12-4.92-17.971933.392079.47468.907704.49-4.92-26.432033.892248.70568.907704.56-4.92-26.4349.5854.80559.9073863.56-4.92-70.72279.20293.17塔墩3:(X=47.50000)182.929423.594.96-42.301152.761328.00175.907611.944.96-7.431776.531807.31275.907611.954.96-7.431780.251803.65268.907799.604.9627.312384.462298.43368.907799.614.9627.312372.872310.08360.4071027.484.9669.503088.612928.83塔墩4:(X=82.30000)主纜單元位置(X)軸力應(yīng)力溫度第1跨1-76.250360.8611137.60.0002-70.000365.6111284.10.0003-65.000369.9111417.00.0004-60.000374.5911561.30.0005-55.000379.4011710.00.0006-50.000385.1111886.20.000索鞍左側(cè)主纜傾角25.40664水平分力-348.垂直分力-165.第2跨索鞍右側(cè)主纜傾角161.02176水平分力355.垂直分力-122.單元位置(X)軸力應(yīng)力溫度1-45.000374.9511572.50.0002-40.000370.9311448.40.0003-35.000367.1711332.30.0004-30.000363.9011231.50.0005-25.000361.1311146.00.0006-20.000358.8611076.10.0007-15.000357.0711020.80.0008-10.000355.7610980.20.0009-5.000354.9410954.90.00010.000354.6010944.50.000115.000354.7310948.60.0001210.000355.3510967.50.0001315.000356.4311000.90.0001420.000357.9811048.80.0001525.000360.0511112.70.0001630.000362.6011191.20.0001735.000365.6511285.60.0001840.000369.2111395.30.0001945.000373.3211522.30.000索鞍左側(cè)主纜傾角18.97889水平分力-353.垂直分力-121.第3跨索鞍右側(cè)主纜傾角154.59294水平分力350.垂直分力-166.單元位置(X)軸力應(yīng)力溫度150.000387.2511952.30.000255.000381.8011783.80.000360.000376.3711616.30.000465.000371.3611461.80.000570.000366.5411313.00.000676.250367.1011330.10.000第4跨1-91.735334.6410328.20.000第5跨191.735349.0410772.80.000******加勁梁吊裝完成狀態(tài)******結(jié)構(gòu)各部位結(jié)點坐標(biāo)主梁點號XZ梁段開口角距梁頂2.50000m處開口距第1跨1-79.9926271.781002-72.4723171.884483-69.9727071.969194-67.4719371.993635-64.9719972.061426-62.4716472.104587-59.9724872.190818-57.4722772.233499-54.9722972.2887910-52.4750872.4148111-50.0019372.7686012-47.4904872.57016第2跨1-47.4904872.570162-44.9740672.952413-42.4790672.778064-39.9793872.830465-37.4823572.947936-34.9855873.069317-32.4864273.135768-29.9885873.233099-27.4895373.2988410-24.9913273.3878311-22.4919673.4382912-19.9932173.5116713-17.4934773.5473114-14.9952073.6064715-12.4950073.6292116-9.9947573.6768517-7.4946673.6845518-4.9944573.7121119-2.4944273.7088520.0055373.73741212.5043973.70895225.0044273.71220237.5042373.684742410.0042173.677142512.5036773.629612615.0034773.606952717.5026473.547792820.0023873.512242922.5010373.438963025.0004973.388603127.4986073.299603229.9976573.233853332.4955973.136523434.9947673.070063537.4915272.948683639.9884572.831213742.4882372.778803844.9832372.953053947.4917472.57105第3跨147.4917472.57105249.9853372.75289352.4584072.39709454.9553472.26602557.4551372.20347659.9552572.15673762.4546672.07249864.9548772.02194967.4548571.955721069.9556971.935401172.4554771.854381279.9937371.78100主纜系點號XZ第1跨1-82.5285771.701972-76.2696273.211313-72.5157174.126474-70.0152174.872245-67.5150675.621326-65.0157676.477717-62.5173677.339268-60.0234578.313209-57.5305479.2918710-55.0494180.3865811-52.5684681.4836212-50.0947782.71814主索鞍1與主纜相切點坐標(biāo)位置XZ鞍頂纜底左切點-48.5489383.49033主索鞍中心頂點-47.6115083.71118鞍頂纜底右切點-46.9189583.59369索鞍中心與塔頂中心水平偏心距為-.11150點號XZ第2跨1-45.0980382.957912-42.5782182.082253-40.0660281.318054-37.5527580.558785-35.0390779.895306-32.5252679.233827-30.0153578.664738-27.5054978.097829-24.9989577.6213310-22.4925477.1464611-19.9895876.7602612-17.4864376.3776213-14.9860176.0849514-12.4853175.7964015-9.9866075.5997016-7.4876875.4075017-4.9901475.3045218-2.4924175.2095519.0055075.20018202.5022275.20961214.9999575.30453227.4974975.40757239.9964075.599722412.4951175.796582514.9958276.085082617.4962476.377712719.9993876.760502822.5023477.146652925.0082577.621503027.5152078.098093130.0250578.665053232.5349779.234113335.0487879.895633437.5624880.559073540.0757481.318403642.5880282.082703745.1078382.95840主索鞍2與主纜相切點坐標(biāo)位置XZ鞍頂纜底左切點46.9309683.59490主索鞍中心頂點47.6214283.71165鞍頂纜底右切點48.5685583.48594索鞍中心與塔頂中心水平偏心距為.12142點號XZ第3跨150.1019682.71210252.5688781.46161355.0467280.35650457.5253079.25469560.0176278.27390662.5112077.29872765.0084376.43405867.5067575.57474970.0076074.829391072.5095774.089191176.2651073.184761282.5290971.70175第4跨1-100.9700058.877002-91.7364465.261423-82.5285771.70197第5跨182.5290971.70175291.7380965.263313100.9700058.87700塔墩系點號XZ塔墩11-82.3000071.15300塔墩20-47.6115083.711181-47.4812182.931202-47.4868879.710103-47.4939675.210474-47.4984470.624785-47.4990468.906896-47.5000059.90700塔墩3047.6214283.71165147.4922582.93168247.4960675.90606347.4987668.90647447.5000060.40700塔墩4182.3000071.15300散索鞍一徑向傾角112.60474相對成橋水平偏移距-.02857散索鞍二徑向傾角67.34083相對成橋水平偏移距.02909結(jié)構(gòu)各部位單元累計內(nèi)力塔墩系單元位置(Z)軸力剪力彎矩左側(cè)應(yīng)力右側(cè)應(yīng)力塔墩1:(X=-82.30000)塔墩2:(X=-47.50000)182.9293822.88-988.96915.4424162.9814257.91179.7113873.20-988.96-2270.387180.5831746.07279.7113873.21-988.96-2270.387118.2327402.31275.2113952.47-988.96-6720.68-12408.5147635.56375.2114145.75-988.96-6720.95-19796.0247713.53370.6254252.67-988.96-11256.30-42214.0070851.51470.6254252.67-988.96-11256.30-32824.2458676.36468.9074297.04-988.96-12955.30-39594.8265716.67568.9074297.04-988.96-12955.30-961.311597.91559.9077456.04-988.96-21855.90-1606.432711.03塔墩3:(X=47.50000)182.9293768.641147.61-893.499184.8912886.24175.9073957.001147.617169.5926437.41-3263.20275.9074150.271147.617170.2423445.56860.57268.9074337.931147.6115203.5036646.74-11241.60368.9074337.931147.6115203.5030178.73-4773.59360.4074565.791147.6124958.1042058.72-15319.08塔墩4:(X=82.30000)吊桿單元位置(X)軸力應(yīng)力溫度1-72.500195.68104086.00.0002-67.500144.9777112.70.0003-62.500148.2778868.80.0004-57.500173.6092339.20.0005-52.500195.43103954.00.0006-42.500194.22103306.00.0007-37.500173.7192397.40.0008-32.500156.0483000.20.0009-27.500155.2082551.20.00010-22.500155.6682797.10.00011-17.500155.5482734.50.00012-12.500160.8985579.30.00013-7.500173.5892327.90.00014-2.500150.5980102.50.000152.500150.5380070.50.000167.500173.5892330.30.0001712.500160.9085583.50.0001817.500155.5482732.50.0001922.500155.6682797.40.0002027.500155.2082551.20.0002132.500156.0482999.90.0002237.500173.7192396.90.0002342.500194.21103306.00.0002452.500195.23103846.00.0002557.500179.7095584.80.0002662.500160.8585558.50.0002767.500148.9979249.50.0002872.500194.23103315.00.000主纜單元位置(X)軸力應(yīng)力溫度第1跨1-76.2504045.30124855.00.0002-70.0004118.03127100.00.0003-65.0004216.60130142.00.0004-60.0004343.03134044.00.0005-55.0004384.75135332.00.0006-50.0004581.95141418.00.000索鞍左側(cè)主纜傾角25.40664水平分力-4139.垂直分力-1966.第2跨索鞍右側(cè)主纜傾角161.02176水平分力4953.垂直分力-1703.單元位置(X)軸力應(yīng)力溫度1-45.0005237.73161658.00.0002-40.0005215.72160979.00.0003-35.0005183.11159973.00.0004-30.0005124.32158158.00.0005-25.0005061.10156207.00.0006-20.0005010.44154643.00.0007-15.0004987.41153933.00.0008-10.0005013.28154731.00.0009-5.0004970.35153406.00.00010.0004931.85152218.00.000115.0005091.69157151.00.0001210.0004994.10154139.00.0001315.0005061.40156216.00.0001420.0005144.10158769.00.0001525.0005128.67158292.00.0001630.0005099.26157385.00.0001735.0005132.08158397.00.0001840.0005099.46157391.00.0001945.0005246.57161931.00.000索鞍左側(cè)主纜傾角18.97889水平分力-4961.垂直分力-1706.第3跨索鞍右側(cè)主纜傾角154.59294水平分力3690.垂直分力-1753.單元位置(X)軸力應(yīng)力溫度150.0004085.48126095.00.000255.0004116.54127054.00.000360.0004152.27128156.00.000465.0004147.56128011.00.000570.0004122.69127243.00.000676.2503721.01114846.00.000第4跨1-91.7354072.92125708.00.000第5跨191.7353925.62121161.00.000******成橋狀態(tài)******結(jié)構(gòu)各部位結(jié)點坐標(biāo)主梁點號XZ梁段開口角距梁頂2.50000m處開口距第1跨1-79.9983471.781042-72.5218471.998233-70.0218672.065964-67.5218372.131375-65.0218772.194386-62.5218272.254977-60.0218472.313298-57.5218772.369189-55.0218572.4226310-52.5218472.4737611-50.0228272.5227012-47.4983672.56906第2跨1-47.4983672.569062-44.9983472.612913-42.4987572.654384-39.9987972.693485-37.4987572.730236-34.9987372.764637-32.4987172.796608-29.9987272.826249-27.4987272.8534610-24.9986272.8783411-22.4986972.9008712-19.9986272.9210113-17.4985972.9388414-14.9994372.9542615-12.4990972.9672116-9.9982572.9779117-7.4981572.9862618-4.9977672.9921819-2.4977472.9957320.0023872.99685212.5013972.99573225.0014172.99209237.5014172.986182410.0014172.977862512.5014572.967162615.0013972.954212717.5014472.938742820.0014772.920942922.5014472.900843025.0014772.878373127.5014672.853443230.0014772.826193332.5015572.796553435.0015772.764573537.5016072.730193640.0015472.693453742.5016172.654383845.0011872.61286