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30m箱梁預(yù)應(yīng)力張拉計(jì)算書30m箱梁預(yù)應(yīng)力張拉計(jì)算書30m箱梁預(yù)應(yīng)力張拉計(jì)算書米箱梁預(yù)應(yīng)力張拉計(jì)算書一、張拉設(shè)計(jì)2預(yù)應(yīng)力鋼束為φ高強(qiáng)度低廢弛鋼絞線,橫載面積140mm,有單束5根、4根兩種形式,錨具型號(hào)分別為OVM15-5型、OVM15-4、錨下控制應(yīng)力N1~N3為1340Mpa,N4為1320Mpa,T1為1395Mpa,T2為1340MPa。二、張拉設(shè)備采用1、張拉設(shè)備能力計(jì)算(以單束5根為例,邊跨N1~N3)P=σ控×A×n=1340
6×10
2-6N/m×140×10
2m×5=938KN=為了抵消夾片錨固回縮時(shí)的預(yù)應(yīng)力損失(按一端回縮6mm計(jì)),超張拉3%σ控:Pmax=P×103%=2、張拉設(shè)備行程(以最長鋼束拉力無磨阻損失為例)L=σ控×L/Ep=1340×106××103/×1011)=張拉時(shí)為兩側(cè)張拉,單側(cè)伸長量為2=所采用QYC150型穿心式液壓千斤頂,其張拉力T=150T,行程ls=400mm。、壓力表采用2150T千斤頂活塞面積為290cm。由式Pn=P/An(式中Pn—計(jì)算壓力表讀數(shù);P—張拉力;An—張拉設(shè)備工作液壓面積),得:P42n=×10N/29000mm=mm
2所采用最大讀數(shù)為60MPa的壓力表。三、分級(jí)張拉段劃分為了便于伸長量測量和控制兩端張拉的同步進(jìn)行,把張拉段分為10%σ控、20%σ控、100%σ控、103%σ控四個(gè)階段,各階段張拉力分別為:張拉力4φ張拉階段5φs10%σ控(KN)20%σ控(KN)100%σ控(KN)938103%σ控(KN)四、應(yīng)力張拉操作程序初張拉至δk(正確測量伸長量),持荷3分鐘,爾后張拉至δk,持荷3分鐘,再張拉直接到位δk,持荷3分鐘,進(jìn)油張拉到δk錨固。不再采用超張拉工藝。五、理論伸長量計(jì)算依照公路橋規(guī)12.8.3款和附錄G-8規(guī)定,對(duì)預(yù)應(yīng)力鋼鉸線理論伸長量進(jìn)行計(jì)算:1、計(jì)算公式:L=PpL/(ApEp)(公式1)Pp={P×[1-e-(kx+μθ)]}/(kx+μθ)(公式2)式中,L—理論伸長量,cm;Pp—預(yù)應(yīng)力鋼鉸線平均張拉力,N;L—預(yù)應(yīng)力鋼鉸線長度,cm;252E—彈性模量,N/mm,取E=×10N/mm;ppA—一束預(yù)應(yīng)力鋼鉸線總面積,單根截面2140mm;pP—預(yù)應(yīng)力鋼鉸線張拉端張拉力,N;x—從張拉端至計(jì)算截面的孔道長度,m;θ—從張拉端至計(jì)算截面曲線軌道部分切線的夾角和,rad;k—管道偏差系數(shù),取k=;μ—管道磨阻系數(shù),取μ=;錨具變形、鋼筋回縮取6mm(一端);2、分段方法:依照?qǐng)D所示分AB、BC、CD、DE共4段進(jìn)行計(jì)算,不考慮工作長度。3、計(jì)算方法:計(jì)算每一段的起點(diǎn)和終點(diǎn)力。每一段的終點(diǎn)力就是下一段的起點(diǎn)力,比方湊近張拉端第一段BC的終點(diǎn)C點(diǎn)力即為第二段CD的起點(diǎn)力,每段的終點(diǎn)力與起點(diǎn)力的關(guān)系以下式:Pz=Pq×e-(KX+μθ)(公式3)Pz—分段終點(diǎn)力(N)Pq—分段的起點(diǎn)力(N)各段的起終點(diǎn)力可以依照公式3從張拉端開始進(jìn)行漸漸的計(jì)算。依照每一段起點(diǎn)力Pq代入公式2求出每一段平均張拉力Pp。(3)依照Pp代入公式1計(jì)算出每一段的伸長值L,相加后得出全長鋼絞線伸長量。4、計(jì)算數(shù)據(jù):單根鋼絞線千斤頂張拉力N1~N3P=k×Ap=1340×140=187600(N),N4P=k×Ap=1320×140=184800(N),T1P=k×Ap=1395×140=195300(N),T2P=k×Ap=1340×140=187600(N),依照以上各計(jì)算方法編程求得各鋼束伸長量數(shù)據(jù)以下:Ⅰ.邊跨引申量計(jì)算表N1鋼束計(jì)算表分段x(mm)θ(rad)kx+μθe-(kx+μθ)Pq(N)Pz(N)Pp(N)△L(mm)L11582.500.002370.99763187600187155.21187377.5210.9L2654.50.02620.007530.99250187155.21185751.83186452.644.5L32567.600.003850.99616185751.83185037.80185394.5917.4L47330.40.12220.041540.95931185037.80177509.00181247.3448.7L5266000.003990.99602177509.00176802.15177155.3417.3合計(jì)14795197.4N2鋼束計(jì)算表分段x(mm)θ(rad)kx+μθe-(kx+μθ)Pq(N)Pz(N)Pp(N)△L(mm)L11582.500.002370.99763187600187155.21187377.5210.9L2654.50.02620.007530.99250187155.21185751.83186452.644.5L31477.300.002220.99779185751.83185340.66185546.1710.0L46108.70.12220.039710.96107185340.66178125.67181709.2940.7L5498200.007470.99255178125.67176799.49177461.7532.4合計(jì)14805196.8N3鋼束計(jì)算表分段x(mm)θ(rad)kx+μθe-(kx+μθ)Pq(N)Pz(N)Pp(N)△L(mm)L11582.500.002370.99763187600187155.21187377.5210.9L2654.50.02620.007530.99250187155.21185751.83186452.644.5L3380.0800.000570.99943185751.83185645.96185698.892.6L44886.90.12220.037870.96283185645.96178746.36182174.3832.6L5730600.010960.98910178746.36176798.17177770.4847.6合計(jì)14810196.2N4鋼束計(jì)算表分段x(mm)θ(rad)kx+μθe-(kx+μθ)Pq(N)Pz(N)Pp(N)△L(mm)L1101600.001520.99848184800.00184518.59184659.266.9L2733.040.02440.007210.99282184518.59183193.32183855.164.9L31300100.019500.98069183193.32179655.39181418.6186.4合計(jì)14750196.4T1鋼束計(jì)算表分段x(mm)θ(rad)kx+μθe-(kx+μθ)Pq(N)Pz(N)Pp(N)△L(mm)L1100300.001500.99850195300.00195006.39195153.167.2L2399.330.04990.013080.98701195006.39192472.68193736.782.8L3309900.004650.99536192472.68191580.05192026.0221.8合計(jì)450163.6T2鋼束計(jì)算表分段x(mm)θ(rad)kx+μθe-(kx+μθ)Pq(N)Pz(N)Pp(N)△L(mm)L1100300.001500.99850187600.00187317.97187458.956.9L2399.330.04990.013080.98701187317.97184884.15186098.412.7L3659900.009900.99015184884.15183063.11183972.1344.5合計(jì)8001108.2邊跨鋼束張拉力與油表讀數(shù)對(duì)應(yīng)表1#千斤頂2#千斤頂編號(hào)拉力級(jí)張拉力表號(hào):表號(hào):表號(hào):表號(hào):(KN)油表讀數(shù)伸長量油表讀數(shù)伸長量油表讀數(shù)伸長量油表讀數(shù)伸長量(MPa)(mm)(MPa)(mm)(MPa)(mm)(MPa)(mm)初始張拉10%93.85.17203.79203.94203.3320N1持荷3min20%187.69.50408.16408.22407.7340終張100%93844.0919843.1319842.4419842.92198初始張拉10%93.85.17203.79203.94203.3320N2持荷3min20%187.69.50398.16398.22397.7339終張100%93844.0919743.1319742.4419742.92197初始張拉10%93.85.17203.79203.94203.3320N3持荷3min20%187.69.50408.16408.22407.7340終張100%93844.0919843.1319842.4419842.92198初始張拉10%73.924.25202.86203.04202.4020N4持荷3min20%147.87.66396.31396.41395.8639終張100%739.234.9219533.8719533.3719533.60195初始張拉10%97.655.3563.9764.1263.516T1持荷3min20%195.39.85138.52138.57138.0913終張100%976.545.866444.926444.206444.7364初始張拉10%93.85.17113.79113.94113.3311T2持荷3min20%187.69.50228.16228.22227.7322終張100%93844.0910843.1310842.4410842.92108Ⅱ.中跨引申量計(jì)算表N1鋼束計(jì)算表分段x(mm)θ(rad)kx+μθe-(kx+μθ)Pq(N)Pz(N)Pp(N)△L(mm)L11582.500.002370.99763187600187155.21187377.5210.9L2654.50.02620.007530.99250187155.21185751.83186452.644.5L34608.600.006910.99311185751.83184472.17185111.2731.2L47330.40.12220.041540.95931184472.17176966.38180693.3048.5L556900.000850.99915176966.38176815.41176890.883.7合計(jì)14745197.6N2鋼束計(jì)算表分段x(mm)θ(rad)kx+μθe-(kx+μθ)Pq(N)Pz(N)Pp(N)△L(mm)L11582.500.002370.99763187600187155.21187377.5210.9L2654.50.02620.007530.99250187155.21185751.83186452.644.5L33827.300.005740.99428185751.83184688.48185219.6526.0L46108.70.12220.039710.96107184688.48177498.88181069.8940.5L5260200.003900.99610177498.88176807.45177152.9416.9合計(jì)14775197.4N3鋼束計(jì)算表分段x(mm)θ(rad)kx+μθe-(kx+μθ)Pq(N)Pz(N)Pp(N)△L(mm)L11582.500.002370.99763187600187155.21187377.5210.9L2654.50.02620.007530.99250187155.21185751.83186452.644.5L33041.100.004560.99545185751.83184906.43185328.8120.6L44886.90.12220.037870.96283184906.43178034.31181448.6832.5L5463500.006950.99307178034.31176800.82177416.8530.1合計(jì)14800197.2N4鋼束計(jì)算表分段x(mm)θ(rad)kx+μθe-(kx+μθ)Pq(N)Pz(N)Pp(N)△L(mm)L1107100.001610.99839184800.00184503.37184651.647.2L2733.040.02440.007210.99282184503.37183178.21183839.994.9L31290100.019350.98083183178.21179667.52181417.2085.7合計(jì)14705195.8T1鋼束計(jì)算表分段x(mm)θ(rad)kx+μθe-(kx+μθ)Pq(N)Pz(N)Pp(N)△L(mm)L1100300.001500.99850195300.00195006.39195153.167.2L2399.330.04990.013080.98701195006.39192472.68193736.782.8L3309900.004650.99536192472.68191580.05192026.0221.8合計(jì)450163.6T2鋼束計(jì)算表分段x(mm)θ(rad)kx+μθe-(kx+μθ)Pq(N)Pz(N)Pp(N)△L(mm)L1100300.001500.99850187600.00187317.97187458.956.9L2399.330.04990.013080.98701187317.97184884.15186098.412.7L3659900.009900.99015184884.15183063.11183972.1344.5合計(jì)8001108.2中跨鋼束張拉力與油表讀數(shù)對(duì)應(yīng)表1#千斤頂2#千斤頂編號(hào)拉力級(jí)張拉力表號(hào):表號(hào):表號(hào):表號(hào):(KN)油表讀數(shù)伸長量油表讀數(shù)伸長量油表讀數(shù)伸長量油表讀數(shù)伸長量(MPa)(mm)(MPa)(mm)(MPa)(mm)(MPa)(mm)初始張拉10%75.044.31202.92203.09202.4520N1持荷3min20%150.1
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