改正作业计算表格

分块截面几何特性,,,,,,,,,,,,,,,,,,

跨中截面,,,,,,,,,,,,,,,,,,

分块名称,分块面积,分块面积分块面积形心到上缘距离,分块面积对上缘静矩,分块面积自身惯矩,di=ys-yi,分块面积对截面形心惯矩,I=Ii+Ix,,,,,,,,,,,

,cm2,cm,cm3,cm4,cm,cm4,cm4,,,,,,,,,,,

,大毛截面,,,,,,,,,,,,,,,,,

翼板,3600,7.5,27000,67500,56,11360169,11427669,,,,,,,,,,,

三角承托,150,16.667,2500,208,47,331459,331668,,,,,,,,,,,

腹板,2610,87.5,228375,4572938,-24,1481547,6054485,,,,,,,,,,,

下三角,360,153.3,55188,8000,-90,2891767,2899767,,,,,,,,,,,

马蹄,1080,170,183600,36000,-106,12209463,12245463,,,,,,,,,,,

∑,7800,,496663,4684646,,28274406,32959052,,,,,,,,,,,

,,,,,,,,,,,,,,,,,,,

,小毛截面,,,,,,,,,,,,,,,,,

翼板,2700,7.5,20250,50625,63.50,10887724,10938349,,,,,,,,,,,

三角承托,150,16.667,2500,208,54.33,442842,443050,,,,,,,,,,,

腹板,2610,87.5,228375,4572938,-16.50,710410,5283347,,,,,,,,,,,

下三角,360,153.3,55188,8000,-82.30,2438272,2446272,,,,,,,,,,,

马蹄,1080,170,183600,36000,-99.00,10584676,10620676,,,,,,,,,,,

∑,6900,,489913,4667771,,25063923,29731694,,,,,,,,,,,

,,,,,,,,,,,,,,,,,,,

大毛截面形心到上缘距离ys1=,,,,,63.67,cm,,,,,,,,,,,,

小毛截面形心到上缘距离ys2=,,,,,71.00,cm,,,,,,,,,,,,

,,,,,,,,,,,,,,,,,,,

检验截面效率指标(希望>0.5),,,,,,,,,,,,,,,,,,

上核心距=,,,,36.33,cm,,,,,,,,,,,,,

下核心距=,,,,66.36,cm,,,,,,,,,,,,,

截面效率指标=,,,,0.57,,,,,,,,,,,,,,

说明以上初步拟定主梁跨中截面尺寸是合理的,,,,,,,,,,,,,,,,,,

,变化点截面,,,,,,,,,,,,,,,,,

分块名称,分块面积,分块面积分块面积形心到上缘距离,分块面积对上缘静矩,分块面积自身惯矩,di=ys-yi,分块面积对截面形心惯矩,I=Ii+Ix,,,,,,,,,,,

,cm2,cm,cm3,cm4,cm,cm4,cm4,,,,,,,,,,,

,大毛截面,,,,,,,,,,,,,,,,,

翼板,3600,7.5,27000,67500,64.85,15139621,15207121,,,,,,,,,,,

三角承托,150,16.667,2500,208,55.68,465080,465288,,,,,,,,,,,

腹板,2070,72.5,150075,2281313,-0.15,47,2281360,,,,,,,,,,,

下三角,360,123.3,44388,8000,-50.95,934545,942545,,,,,,,,,,,

马蹄,2700,155,418500,520833,-82.65,18444010,18964843,,,,,,,,,,,

∑,8880,,642463,2877855,,34983303,37861157,,,,,,,,,,,

,小毛截面,,,,,,,,,,,,,,,,,

翼板,2700,7.5,20250,50625,72.16,14060359,14110984,,,,,,,,,,,

三角承托,150,16.667,2500,208,63.00,595280,595488,,,,,,,,,,,

腹板,2070,72.5,150075,2281313,7.16,106217,2387530,,,,,,,,,,,

下三角,360,123.3,44388,8000,-43.64,685499,693499,,,,,,,,,,,

马蹄,2700,155,418500,520833,-75.34,15324174,15845007,,,,,,,,,,,

∑,7980,,635713,2860980,,30771529,33632508,,,,,,,,,,,

,,,,,,,,,,,,,,,,,,,

,ys1=,72.35,cm,,,,,,,,,,,,,,,

,ys2=,79.66,cm,,,,,,,,,,,,,,,

,支点截面,,,,,,,,,,,,,,,,,

分块名称,分块面积,分块面积分块面积形心到上缘距离,分块面积对上缘静矩,分块面积自身惯矩,di=ys-yi,分块面积对截面形心惯矩,I=Ii+Ix,,,,,,,,,,,

,cm2,cm,cm3,cm4,cm,cm4,cm4,,,,,,,,,,,

,大毛截面,,,,,,,,,,,,,,,,,

翼板,3600,7.5,27000,67500,63.45,14493179,14560679,,,,,,,,,,,

三角承托,150,16.667,2500,208,54.28,441994,442202,,,,,,,,,,,

腹板,8910,97.5,868725,20214563,-26.55,6280754,26495317,,,,,,,,,,,

∑,12660,,898225,20282271,,21215927,41498198,,,,,,,,,,,

,小毛截面,,,,,,,,,,,,,,,,,

翼板,2700,7.5,20250,50625,68.31,12597306,12647931,,,,,,,,,,,

三角承托,150,16.667,2500,208,59.14,524608,524816,,,,,,,,,,,

腹板,8910,97.5,868725,20214563,-21.69,4193425,24407988,,,,,,,,,,,

∑,11760,,891475,20265396,,17315339,37580736,,,,,,,,,,,

,,,,,,,,,,,,,,,,,,,

,ys1=,70.95,cm,,kx=,46.20,cm,,,,,,,,,,,

,ys2=,75.81,cm,,,,,,,,,,,,,,,

,,,,,,,,,,,,,,,,,,,

,,,,,,,,,,,,,,,,,,,

g=,17.25,,,,,,,,,,,,,,,,,

g1=,20.18,,g2=,10.96,,,,,,,,,,,,,,

,,,,,,,,,,,,,,,,,,,

,恒载内力,,,,,,,,,,,,,,,,,

,,跨中,四分点,变化点,支点,,,,,,,,,,,,,

,α,0.50,0.25,0.05,0.00,,,,,,,,,,,,,

一期,弯距,2110.91,1583.18,387.95,0.00,,,,,,,,,,,,,

,剪力,0.00,145.58,263.05,291.16,,,,,,,,,,,,,

二期,弯距,1152.17,864.13,211.75,0.00,,,,,,,,,,,,,

,剪力,0.00,79.46,143.58,158.92,,,,,,,,,,,,,

Σ,弯距,3263.08,2447.31,599.69,0.00,,,,,,,,,,,,,

,剪力,0.00,225.04,406.62,450.08,,,,,,,,,,,,,

内力组合计算,,,,,,,,,,,,,,,,,,

荷载类型,跨中截面,,四分点截面,,变化点截面,,支点,,,,,,,,,,,

,Mmax,Qmax,Mmax,Qmax,Mmax,Qmax,Qmax,,,,,,,,,,,

,KN.m,KN,KN.m,KN,KN.m,KN,KN,,,,,,,,,,,

一期恒载,2110.91,0.00,1583.18,145.58,387.95,263.05,291.16,,,,,,,,,,,

二期恒载,1152.17,0.00,864.13,79.46,211.75,143.58,158.92,,,,,,,,,,,

总恒载=1+2,3263.08,0.00,2447.31,225.04,599.69,406.62,450.08,,,,,,,,,,,

汽-20,1935.88,104.33,1603.57,195.59,404.70,225.05,292.50,,,,,,,,,,,

挂-100,2350.40,162.09,1913.60,266.09,490.02,276.53,277.56,,,,,,,,,,,

恒+汽,5198.96,104.33,4050.88,420.63,1004.39,631.67,742.58,,,,,,,,,,,

恒+挂,5613.48,162.09,4360.91,491.13,1089.71,683.15,727.64,,,,,,,,,,,

Sji=1.2*恒+1.4*汽,6625.93,146.06,5181.77,543.87,1286.21,803.02,949.60,,,,,,,,,,,

Sjm=1.2*恒+1.1*挂,6501.14,178.30,5041.73,562.75,1258.65,792.13,845.41,,,,,,,,,,,

汽/6*100%,0.37,1.00,0.40,0.46,0.40,0.36,0.39,,,,,,,,,,,

提高系数,1.03,1.00,1.03,1.03,1.03,1.00,1.03,,,,,,,,,,,

挂/7*100%,0.42,1.00,0.44,0.54,0.45,0.40,0.38,,,,,,,,,,,

提高系数,1.00,1.03,1.00,1.02,1.00,1.00,1.00,,,,,,,,,,,

提高后Sji,6824.71,146.06,5337.22,560.19,1324.80,803.02,978.08,,,,,,,,,,,

提高后Sjm,6501.14,183.65,5041.73,574.00,1258.65,792.13,845.41,,,,,,,,,,,

,钢束布置计算,,,,,,,,,,,,,,,,,

,钢束,其弯高度,y1,y2,L1,x3,Φ,R,x2,x1,,,,,,,,

,N1(N2),21,12.19,8.81,100,99.25,7,1182.35,144.09,1238.97,,,,,,,,

,N3,51,12.19,38.81,100,99.25,7,5207.12,634.59,744.79,,,,,,,,

,N4,103.3,25.88,77.42,100,96.59,15,2272.05,588.05,794.66,,,,,,,,

,N5,120,25.88,94.12,100,96.59,15,2762.15,714.90,659.77,,,,,,,,

,N6,120.88,30.90,89.98,100,95.11,18,1838.41,568.10,642.35,,,,,,,,

,各计算截面钢束位置及钢束群位置,,,,,,,,,,,,,,,,,

,,x4(cm),R（cm),sin,cos,a0(cm),ai(cm),ay(cm),α弧度,角度,,,,,,,,

1/4点,N1(N2),/,1182.35,,,9,9.00,19.72,,,,,,,,,,

,N3,/,5207.12,,,9,9.00,,,,,,,,,,,

,N4,/,2272.05,,,16.7,16.70,,,,,,,,,,,

,N5,65.23,2762.15,0.02362,0.99972,30,30.77,,0.02362,1.35,,,,,,,,

,N6,82.65,1838.41,0.04496,0.99899,42,43.86,,0.04497,2.58,,,,,,,,

变化点,N1(N2),71.03,1182.35,0.06007,0.99819,9,11.14,49.12,0.06011,3.44,,,,,,,,

,N3,565.21,5207.12,0.10855,0.99409,9,39.77,,0.10876,6.23,,,,,,,,

,N4,515.34,2272.05,0.22682,0.97394,16.7,75.92,,0.22881,13.11,,,,,,,,

,N5,650.23,2762.15,0.23541,0.97190,30,107.63,,0.23764,13.62,,,,,,,,

,,y,角度a,x5,x5*tan(a),a0,ai,,,,,,,,,,,

支点,N1(N2),21.00,7.00,32.32,3.97,9.00,26.03,72.17,,,,,,,,,,

,N3,51.00,15.00,28.63,7.67,9.00,52.33,,,,,,,,,,,

,N4,103.30,15.00,29.30,7.85,16.70,112.15,,,,,,,,,,,

,N5,120.00,15.00,21.26,5.70,30.00,144.30,,,,,,,,,,,

,N6,,,,,,,,,,,,,,,,,

,钢束长度计算,,,,,,,,,,,,,,,,,

,,R,Φ,曲线长S,直线长X1,直线长L1,有效长度,预留长度,总长,,,,,,,,,

,N1(N2),1182.35,7.00,144.45,1238.97,100.00,2966.85,140.00,3106.85,,,,,,,,,

,N3,5207.12,7.00,636.17,744.79,100.00,2961.91,140.00,3101.91,,,,,,,,,

,N4,2272.05,15.00,594.82,794.66,100.00,2978.96,140.00,3118.96,,,,,,,,,

,N5,2762.15,15.00,723.13,659.77,100.00,2965.80,140.00,3105.80,,,,,,,,,

,N6,1838.41,18.00,577.55,642.35,100.00,2639.82,140.00,2779.82,,,,,,,,,

截面面积和惯矩计算,,,,,,,,,,,,,,,,,,

,,分块名称,分块面积,分块面积重心到上缘距离,分块面积对上缘静矩,全截面重心到上缘距离,分块面积自身惯矩,di,Iy,Iy,,,,,,,,

,,管道面积=,46.566,,n=,6,,ny=,5.57,,,,,,,,,

跨中,净截面,毛截面,6900.00,71.00,489913,66.75,29731694,-4.26,124964,29856658,,,,,,,,

,,扣除管道面积,-279.40,160.72,-44905,,0,-93.97,-2467380,-2467380,,,,,,,,

,,Σ,6667.17,,445008,,29731694,,-2342410,27389284,,,,,,,,

,换算截面,毛截面,7800.00,63.67,496663,66.46,32959052,2.78,60469,33019521,,,,,,,,

,,钢束换算面积,230.40,160.72,37030,,0,-94.26,2047132,2047132,,,,,,,,

,,Σ,8030.40,,533693,,32959052,,2107601,35066653,,,,,,,,

1/4点,净截面,毛截面,6900.00,71.00,489913,66.76,29731694,-4.24,123880,29855574,,,,,,,,

,,扣除管道面积,-279.40,160.28,-44781,,0,-93.51,-2443284,-2443284,,,,,,,,

,,Σ,6667.17,,445132,,29731694,,-2319403,27412291,,,,,,,,

,换算截面,毛截面,7800.00,63.67,496663,66.45,32959052,2.77,59920,33018972,,,,,,,,

,,钢束换算面积,230.40,160.28,36928,,0,-93.83,2028548,2028548,,,,,,,,

,,Σ,8030.40,,533591,,32959052,,2088468,35047520,,,,,,,,

变化点,净截面,毛截面,7980.00,79.66,635713,78.12,33632508,-1.54,18910,33651418,,,,,,,,

,,扣除管道面积,-232.83,130.88,-30474,,0,-52.76,-648122,-648122,,,,,,,,

,,Σ,7747.17,,605239,,33632508,,-629212,33003296,,,,,,,,

,换算截面,毛截面,8880.00,72.35,642463,73.59,37861157,1.24,13628,37874785,,,,,,,,

,,钢束换算面积,192.00,130.88,25130,,0,-57.30,630304,630304,,,,,,,,

,,Σ,9072.00,,667593,,37861157,,643932,38505089,,,,,,,,

支点,净截面,毛截面,11760.00,75.81,891475,75.16,37580736,-0.65,4921,37585656,,,,,,,,

,,扣除管道面积,-232.83,107.83,-25106,,0,-32.67,-248543,-248543,,,,,,,,

,,Σ,11527.17,,866369,,37580736,,-243622,37337114,,,,,,,,

,换算截面,毛截面,12660.00,70.95,898225,71.50,41498198,0.55,3843,41502042,,,,,,,,

,,钢束换算面积,192.00,107.83,20704,,0,-36.33,253419,253419,,,,,,,,

,,Σ,12852.00,,918929,,41498198,,257262,41755461,,,,,,,,

截面对重心轴静矩计算,,,,,,,,,,,,,,,,,,

跨中,,,,,,,,,,,,,,,,,,

,b1=180,,rs=,66.75,,,b2=240,rs=,66.46,,,,,,,,,

,,Ai(cm2),yi(cm),Si(cm3),,,Ai(cm2),yi(cm),Si(cm3),,,,,,,,,

翼板,翼缘对净轴静矩,2700,59,159965,翼缘对换轴静矩,翼板,3600,59,212253,,,,,,,,,

三角承托,,150,50,7512,,三角承托,150,50,7469,,,,,,,,,

肋板,,90,49,4432,,肋板,90,49,4406,,,,,,,,,

,,,,171909,,,,,224128,,,,,,,,,

下三角,马蹄部分对净轴静矩,360,87,31171,马蹄部分对换轴静矩,下三角,360,87,31275,,,,,,,,,

马蹄,,1080,103,111514,,马蹄,1080,104,111824,,,,,,,,,

肋板,,360,83,29971,,肋板,360,84,30075,,,,,,,,,

管道,,-279,94,-26256,,管道,230,94,21718,,,,,,,,,

,,,,146401,,,,,194891,,,,,,,,,

翼板,净轴以上面积对净轴静矩,2700,59,159965,净轴以上面积对换轴静矩,翼板,3600,58,209254,,,,,,,,,

三角承托,,150,50,7512,,三角承托,150,49,7344,,,,,,,,,

肋板,,932,26,24108,,肋板,932,25,23064,,,,,,,,,

,,,,191584,,,,-1,239662,,,,,,,,,

翼板,换轴以上面积对净轴静矩静矩,2700,59,159965,换轴以上面积对换轴静矩静矩,翼板,3600,58,209254,,,,,,,,,

三角承托,,150,50,7512,,三角承托,150,49,7344,,,,,,,,,

肋板,,926,26,24098,,肋板,926,25,23061,,,,,,,,,

,,,,191575,,,,,239659,,,,,,,,,

1/4点,,,,,,,,,,,,,,,,,,

,,,rs=,67,,,,rs=,66,,,,,,,,,

,,Ai(cm2),yi(cm),Si(cm3),,,Ai(cm2),yi(cm),Si(cm3),,,,,,,,,

翼板,翼缘对净轴静矩,2700,59,160015,翼缘对换轴静矩,翼板,3600,58,209249,,,,,,,,,

三角承托,,150,50,7515,,三角承托,150,49,7344,,,,,,,,,

肋板,,90,49,4434,,肋板,90,48,4331,,,,,,,,,

,,,,171963,,,,,220924,,,,,,,,,

下三角,马蹄部分对净轴静矩,360,87,31165,马蹄部分对换轴静矩,下三角,360,88,31575,,,,,,,,,

马蹄,,1080,103,111494,,马蹄,1080,104,112725,,,,,,,,,

肋板,,360,83,29965,,肋板,360,84,30375,,,,,,,,,

管道,,-279,94,-26128,,管道,230,95,21808,,,,,,,,,

,,,,146496,,,,,196484,,,,,,,,,

翼板,净轴以上面积对净轴静矩,2700,59,160015,净轴以上面积对换轴静矩,翼板,3600,58,209249,,,,,,,,,

三角承托,,150,50,7515,,三角承托,150,49,7344,,,,,,,,,

肋板,,932,26,24108,,肋板,932,25,23045,,,,,,,,,

,,,,191637,,,,,239638,,,,,,,,,

翼板,换轴以上面积对净轴静矩静矩,2700,59,160015,换轴以上面积对换轴静矩静矩,翼板,3600,58,209249,,,,,,,,,

三角承托,,150,50,7515,,三角承托,150,49,7344,,,,,,,,,

肋板,,926,26,24098,,肋板,926,25,23042,,,,,,,,,

,,,,191628,,,,,239635,,,,,,,,,

变化点,,,,,,,,,,,,,,,,,,

,,,rs=,78,,,,rs=,74,,,,,,,,,

,,Ai(cm2),yi(cm),Si(cm3),,,Ai(cm2),yi(cm),Si(cm3),,,,,,,,,

翼板,翼缘对净轴静矩,2700,71,190685,翼缘对换轴静矩,翼板,3600,66,238694,,,,,,,,,

三角承托,,150,61,9219,,三角承托,150,57,8571,,,,,,,,,

肋板,,90,61,5456,,肋板,90,56,5067,,,,,,,,,

,,,,205359,,,,,252332,,,,,,,,,

下三角,马蹄部分对净轴静矩,360,45,16275,马蹄部分对换轴静矩,下三角,360,50,17830,,,,,,,,,

马蹄,,2700,77,207565,,马蹄,2700,81,219229,,,,,,,,,

肋板,,360,42,15075,,肋板,360,46,16631,,,,,,,,,

管道,,-233,53,-12284,,管道,230,57,13151,,,,,,,,,

,,,,226632,,,,,266842,,,,,,,,,

翼板,净轴以上面积对净轴静矩,2700,71,190685,净轴以上面积对换轴静矩,翼板,2700,66,179021,,,,,,,,,

三角承托,,150,61,9219,,三角承托,150,57,8571,,,,,,,,,

肋板,,1136,32,35862,,肋板,1083,27,29508,,,,,,,,,

,,,,235765,,,,,217100,,,,,,,,,

翼板,换轴以上面积对净轴静矩静矩,2700,71,190685,换轴以上面积对换轴静矩静矩,翼板,2700,66,179021,,,,,,,,,

三角承托,,150,61,9219,,三角承托,150,57,8571,,,,,,,,,

肋板,,1055,34,35677,,肋板,1025,30,30245,,,,,,,,,

,,,,235580,,,,,217836,,,,,,,,,

支点,,,,,,,,,,,,,,,,,,

,,,rs=,75,,,,rs=,72,,,,,,,,,

,,Ai(cm2),yi(cm),Si(cm3),,,Ai(cm2),yi(cm),Si(cm3),,,,,,,,,

翼板,翼缘对净轴静矩,2700,68,182679,翼缘对换轴静矩,翼板,3600,64,230396,,,,,,,,,

三角承托,,150,58,8774,,三角承托,150,55,8225,,,,,,,,,

肋板,,270,58,15568,,肋板,270,54,14580,,,,,,,,,

,,,,207021,,,,,253200,,,,,,,,,

翼板,净轴以上面积对净轴静矩,2700,68,182679,净轴以上面积对换轴静矩,翼板,3600,64,230396,,,,,,,,,

三角承托,,150,58,8774,,三角承托,150,55,8225,,,,,,,,,

肋板,,3249,30,97715,,肋板,3249,26,85826,,,,,,,,,

,,,,289168,,,,,324446,,,,,,,,,

翼板,换轴以上面积对净轴静矩静矩,2700,66,178443,换轴以上面积对换轴静矩静矩,翼板,3600,62,224748,,,,,,,,,

三角承托,,150,57,8538,,三角承托,150,53,7989,,,,,,,,,

肋板,,3051,28,86193,,肋板,3051,25,75026,,,,,,,,,

,,,,273174,,,,,307763,,,,,,,,,

截面特性汇总,,,,,,,,,,,,,,,,,,

,名称,,符号,单位,截面,,,,,,,,,,,,,

,,,,,跨中,四分点,变化点,支点,,,,,,,,,,

"混

凝

土

净

截

面",净面积,,Aj,cm2,6667,6667,7747,11527,,,,,,,,,,

,净惯矩,,Ij,cm4,27389284,27412291,33003296,37337114,,,,,,,,,,

,截面形心至上缘距离,,yjs,cm,67,67,78,75,,,,,,,,,,

,截面形心至下缘距离,,yjx,cm,113,113,102,105,,,,,,,,,,

,"截面

抗弯

模量",梁上边缘,Wjs,cm3,410350,410580,422448,496776,,,,,,,,,,

,,梁下边缘,Wjx,cm3,241840,242083,323955,356130,,,,,,,,,,

,"对形心

轴静矩",翼缘部分面积,Sa-j,cm3,171909,171963,205359,253200,,,,,,,,,,

,,净轴以上面积,Sj-j,cm3,191584,191637,235765,324446,,,,,,,,,,

,,换轴以上面积,So-j,cm3,191575,191628,235580,307763,,,,,,,,,,

,,马蹄部分面积,Sh-j,cm3,146401,146496,226632,0,,,,,,,,,,

,钢束群重心到净轴距离,,ej,cm,98.51,93.51,52.76,32.67,,,,,,,,,,

"换

算

截

面",换算面积,,Ao,cm2,8030,8030,9072,12852,,,,,,,,,,

,换算惯距,,Io,cm4,35066653,35047520,38505089,41755461,,,,,,,,,,

,截面形心至上缘距离,,yos,cm,66.46,66.45,73.59,71.50,,,,,,,,,,

,截面形心至下缘距离,,yox,cm,113.54,113.55,106.41,108.50,,,,,,,,,,

,"截面

抗弯

模量",梁上边缘,Wos,cm3,527643,527455,523250,583986,,,,,,,,,,

,,梁下边缘,Wox,cm3,308846,308643,361850,384846,,,,,,,,,,

,"对形心

轴静矩",翼缘部分面积,Sa-o,cm3,224128,220924,252332,253200,,,,,,,,,,

,,净轴以上面积,Sj-o,cm3,23064,239638,217100,324446,,,,,,,,,,

,,换轴以上面积,So-o,cm3,239659,239635,217836,307763,,,,,,,,,,

,,马蹄部分面积,Sh-o,cm3,194891,196484,266842,0,,,,,,,,,,

,钢束群重心到换轴距离,,eo,cm,98.80,93.83,57.30,36.33,,,,,,,,,,

钢束群重心到下缘距离,,,ay,cm,14.74,19.72,49.12,72.17,,,,,,,,,,

,,,,,,,,,,,,,,,,,,,

截面管道摩擦损失σs1,,,,,,,,,,,,,,,,,,

截面位置,钢束,θ=Φ-α,,x(m),μ*θ+k*x,1-e-(μθ+kx),σk[1-e-(μθ+kx)](Mpa),,,,,,,,,,,

,,角度,弧度,,,,,,,,,,,,,,,

1/4点,N1(N2),7,0.12,7.57,0.0308,0.0303,42.29,,,,,,,,,,,

,N3,15,0.26,7.54,0.0573,0.0557,77.66,,,,,,,,,,,

,N4,15,0.26,7.54,0.0573,0.0557,77.67,,,,,,,,,,,

,N5,13.65,0.24,7.46,0.0527,0.0514,71.64,,,,,,,,,,,

,N6,15.42,0.27,5.81,0.0570,0.0554,77.23,,,,,,,,,,,

跨中,N1(N2),7,0.12,14.82,0.0380,0.0373,52.06,,,,,,,,,,,

,N3,15,0.26,14.79,0.0645,0.0625,87.17,,,,,,,,,,,

,N4,15,0.26,14.79,0.0645,0.0625,87.18,,,,,,,,,,,

,N5,15,0.26,14.71,0.0645,0.0624,87.08,,,,,,,,,,,

,N6,18,0.31,13.06,0.0728,0.0702,97.88,,,,,,,,,,,

变化点,N1(N2),11.56,0.20,1.72,0.0400,0.0393,54.76,,,,,,,,,,,

,N3,8.77,0.15,1.69,0.0308,0.0303,42.26,,,,,,,,,,,

,N4,1.89,0.03,1.69,0.0080,0.0079,11.06,,,,,,,,,,,

,N5,1.38,0.02,1.61,0.0062,0.0062,8.63,,,,,,,,,,,

支点,N1(N2),0,0,0.32,0.0003,0.0003,0.45,,,,,,,,,,,

,N3,0,0,0.29,0.0003,0.0003,0.40,,,,,,,,,,,

,N4,0,0,0.29,0.0003,0.0003,0.41,,,,,,,,,,,

,N5,0,0,0.21,0.0002,0.0002,0.30,,,,,,,,,,,

,,,,,,,,,,,,,,,,,,,

,,,,,,,,,,,,,,,,,,,

,锚具变形，钢束回缩引起的损失σs2（Mpa),,,,,,,,,,,,,,,,,

,钢束,N1(N2),N3,N4,N5,N6,,,,,,,,,,,,

,l(mm),31068.49,31019.14,31189.58,31057.99,27798.16,,,,,,,,,,,,

,σs2(Mpa),73.39,73.50,73.10,73.41,82.02,,,,,,,,,,,,

,,,,,,,,,,,,,,,,,,,

,截面σs4计算表,,,,,,,,,,,,,,,,,

,钢束号,锚固时预加纵向轴力Ny0,,,,ΣNy0(0.1KN),eyi,My0=Ny0*eyi,ΣMy0(Mpa),计算应力损失的钢束号,eyj(cm),ΣΔσhl,,,σs4=ny*ΣΔσhl(Mpa),,,

,,σy0,σy0*Δay,cosα,Ny0,,,,,,,ΣNy0/Aj,ΣMy0*eyi/Ij,合计,,,,

,,,Aj=,6667,Ij=,27412290.54,,,,,,,,,,,,

1/4点,N2,1279.32,10746.30,1,10746.30,10746.30,103.75,1114928.70,1114928.70,N1,103.75,1.61,4.22,5.83,32.49,,,

,N1,1246.83,10473.40,1,10473.40,21219.70,103.75,1086615.52,2201544.22,N5,81.98,3.18,6.58,9.77,54.41,,,

,N5,1195.54,10042.56,0.999721108,10039.76,31259.46,81.98,823059.59,3024603.81,N3,103.75,4.69,11.45,16.14,89.89,,,

,N3,1153.95,9693.14,1,9693.14,40952.60,103.75,1005663.14,4030266.95,N4,96.05,6.14,14.12,20.26,112.89,,,

,N4,1131.34,9503.26,1,9503.26,50455.87,96.05,912788.38,4943055.33,,,,,,,,,

,,,Aj=,6667,Ij=,27389284.01,,,,,,,,,,,,

跨中,N2,1269.55,10664.22,1,10664.22,10664.22,103.76,1106519.33,1106519.33,N1,103.76,1.60,4.19,5.79,32.26,,,

,N1,1237.29,10393.20,1,10393.20,21057.42,103.76,1078398.71,2184918.04,N5,82.76,3.24,6.60,9.84,54.83,,,

,N5,1179.69,9909.36,1,9909.36,30966.78,82.76,820098.48,3005016.52,N3,103.76,4.76,11.38,16.15,89.96,,,

,N3,1144.36,9612.66,1,9612.66,40579.44,103.76,997409.44,4002425.96,N4,96.05,6.24,14.04,20.28,112.97,,,

,N4,1131.26,9502.60,1,9502.60,50082.04,96.05,912724.49,4915150.45,,,,,,,,,

,,,Aj=,7747,Ij=,33003295.98,,,,,,,,,,,,

变化点,N2,1266.86,10641.59,0.998194007,10622.37,10622.37,90.86,965148.32,965148.32,N1,90.86,1.37,2.66,4.03,22.44,,,

,N1,1244.41,10453.08,0.998194007,10434.20,21056.57,90.86,948051.50,1913199.82,N5,-5.63,2.72,-0.33,2.39,13.32,,,

,N5,1299.64,10916.96,0.971896858,10610.16,31666.73,-5.63,-59735.21,1853464.61,N3,83.37,4.09,4.68,8.77,48.86,,,

,N3,1230.38,10335.19,0.99409141,10274.12,41940.85,83.37,856553.64,2710018.24,N4,26.08,5.41,2.14,7.56,42.09,,,

,N4,1268.75,10657.47,0.973937117,10379.71,52320.56,26.08,270702.82,2980721.07,,,,,,,,,

成桥后张拉N6,,,,,,,,,,,,,,,,,,

,,,A=,8030.4,Io=,35047519.92,,,,,,,,,,,,

1/4点,N61,1235.75,10380.28,0.998989002,10369.78,,69.69,722721.48,,N2,104.55,1.29,2.156019262,3.45,19.21,,,

,N2,914.40,7680.93,1,7680.93,,104.55,803069.23,,N1,104.55,0.96,2.395712291,3.35,18.68,,,

,N1,914.93,7685.39,1,7685.39,,104.55,803534.73,,N5,82.78,0.96,1.897972159,2.86,15.91,,,

,N5,888.33,7461.96,0.999721108,7459.88,,82.78,617553.08,,N3,104.55,0.93,1.842281408,2.77,15.44,,,

,N3,882.68,7414.52,1,7414.52,,104.55,775214.85,,N4,96.54,0.92,2.135260503,3.06,17.04,,,

,N4,881.47,7404.38,1,7404.38,,96.54,714783.45,,,,,,,,,,

,N6,890.03,7476.23,0.998989002,7468.67,,69.69,520528.85,,,,,,,,,,

,Σ,,,,45113.77,,,4234684.19,,,,,,,,,,

,,,A=,8030.4,Io=,35066652.86,,,,,,,,,,,,

跨中,N61,1235.75,10380.27515,1,10380.27515,,71.54,742614.5091,,N2,104.54,1.29,1.51503854,2.81,15.64,,,

,N2,929.79,7810.243333,1,7810.243333,,104.54,816490.0799,,N1,104.54,0.97,2.434125389,3.41,18.98,,,

,N1,891.34,7487.285321,1,7487.285321,,104.54,782727.7499,,N5,83.54,0.93,2.333472917,3.27,18.19,,,

,N5,892.20,7494.478819,1,7494.478819,,83.54,626095.7096,,N3,104.54,0.93,1.491577092,2.42,13.51,,,

,N3,896.70,7532.252478,1,7532.252478,,104.54,787428.6581,,N4,96.87,0.94,2.347487294,3.29,18.30,,,

,N4,892.30,7495.279279,1,7495.279279,,96.87,726074.6536,,,,,,,,,,

,N6,890.98,7484.229852,1,7484.229852,,71.54,535428.7432,,,,,,,,,,

,Σ,,,,45303.76908,,,4274245.594,,,,,,,,,,

σs5=,0.045*1395,62.775,,,,,,,,,,,,,,,,

混凝土收缩须变损失σs6,,,,,,,,,,,,,,,,,,

σh的计算,,,,,,,,,,,,,,,,,,

,,,,,,,,,,,,,,,,,,,

截面,Ny(Mpa),My(Mpa),Mg(Mpa),My-Mg,I(m4),A(m2),e(m),Ny/A,(My-Mg)*e/I,σh(Mpa),,,,,,,,

跨中,5008.20,4915.15,2110.91,2804.24,0.27389284,0.67,0.99,7.51,10.09,17.60,,,,,,,,

1/4点,5045.59,4943.06,1583.1825,3359.87,0.274122905,0.67,0.94,7.57,11.46,19.03,,,,,,,,

变化点,5232.06,2980.72,387.9456,2592.78,0.33003296,0.77,0.53,6.75,4.14,10.90,,,,,,,,

,βα(τ)=,0.312,,u=,818.74,,,,,,,,,,,,,

,,,,h=,λ*2*Ah/u=,28.58,,,,,,,,,,,,

,查表Φf2=,1.61,Φf=,2*1.61=,3.22,,,,,,,,,,,,,

"Φ(∞,т)=","Φ(t,т)=",2.77,,ε=,0.23*10^3,,,,,,,,,,,,,

配筋率,,跨中,1/4点,变化点,,,,,,,,,,,,,,

,A(cm2),8030.40,8030.40,9072.00,,,,,,,,,,,,,,

,Ay(cm2),50.40,50.40,50.40,,,,,,,,,,,,,,

,μ,0.01,0.01,0.01,,,,,,,,,,,,,,

,,,,,,,,,,,,,,,,,,,

,,,,,,,,,,,,,,,,,,,

,,,跨中,1/4点,变化点,,,,,,,,,,,,,

,分母,r2,4366.74,4364.36,4244.39,,,,,,,,,,,,,

,,eA,98.80,93.83,57.30,,,,,,,,,,,,,

,,eA2,9761.62,8804.46,3282.83,,,,,,,,,,,,,

,,ρ,3.24,3.02,1.77,,,,,,,,,,,,,

,,1+10*μ*ρ,1.20,1.19,1.10,,,,,,,,,,,,,

,分子,"Φ(∞,т)",2.773,2.773,2.773,,,,,,,,,,,,,

,,ε=,0.00023,0.00023,0.00023,,,,,,,,,,,,,

,,σh,17.60,19.03,10.90,,,,,,,,,,,,,

,,"n*σh*Φ(∞,т)",271.86,293.98,168.36,,,,,,,,,,,,,

,,Ey*ε,42.55,42.55,42.55,,,,,,,,,,,,,

,,"n*σh*Φ(∞,т)+Ey*ε",314.41,336.53,210.91,,,,,,,,,,,,,

,σs6(Mpa),,261.34,282.94,192.00,,,,,,,,,,,,,

,,,,,,,,,,,,,,,,,,,

,,,,,,,,,,,,,,,,,,,

,,,,,,,,,,,,,,,,,,,

,,,,,,,,,,,,,,,,,,,

,,,,,,,,,,,,,,,,,,,

,,,,,,,,,,,,,,,,,,,

,,,,,,,,,,,,,,,,,,,

,,,,,,,,,,,,,,,,,,,

,,,,,,,,,,,,,,,,,,,

,,永存应力,,,,,,,,,,,,,,,,

,,截面,钢束,σk,锚固前应力损失,,,σy,锚固后应力损失,,,永存应力,锚固阶段的预加力，（σ5+σ6）所引起的轴力和剪力,,,,,

,,,,,σs1,σs2,σs4,,σs5,σs6,σs5+σs6,,sinα,cosα,Qy,Ny(KN),"Qy,(KN)","Ny,(KN)"

,,跨中,N1,1395.00,52.06,73.39,32.26,1237.29,62.78,261.34,324.12,913.17,0,1,0.00,1039.32,0.00,272.26

,,,N2,1395.00,52.06,73.39,0.00,1269.55,62.78,261.34,324.12,945.44,0,1,0.00,1066.43,0.00,272.26

,,,N3,1395.00,87.17,73.50,89.96,1144.36,62.78,261.34,324.12,820.25,0,1,0.00,961.27,0.00,272.26

,,,N4,1395.00,87.18,73.10,112.97,1121.75,62.78,261.34,324.12,797.63,0,1,0.00,942.27,0.00,272.26

,,,N5,1395.00,87.08,73.41,54.83,1179.69,62.78,261.34,324.12,855.57,0,1,0.00,990.94,0.00,272.26

,,,N6,1395.00,97.88,82.02,,1215.10,62.78,261.34,324.12,890.98,0,1,0.00,1020.68,0.00,272.26

,,,,,,,,,,,,5223.03,,,0.00,6020.89,0.00,1633.55

,,变化点,N1,1395.00,54.76,73.39,22.44,1244.41,62.78,192.00,254.77,989.64,0.060073,0.998194,62.79,1043.42,12.86,213.62

,,,N2,1395.00,54.76,73.39,0.00,1266.86,62.78,192.00,254.77,1012.08,0.060073,0.998194,63.93,1062.24,12.86,213.62

,,,N3,1395.00,42.26,73.50,48.86,1230.38,62.78,192.00,254.77,975.61,0.108546,0.994091,112.18,1027.41,23.23,212.74

,,,N4,1395.00,11.06,73.10,42.09,1268.75,62.78,192.00,254.77,1013.98,0.226818,0.973937,241.73,1037.97,48.54,208.43

,,,N5,1395.00,8.63,73.41,13.32,1299.64,62.78,192.00,254.77,1044.87,0.235407,0.971897,256.99,1061.02,50.38,207.99

,,,,,,,,,,,,5036.18,,,,5232.06,147.86,1056.41

,扣除全部损失的永存应力,,,,,,,,,,,,,,,,,

,截面,M(KN.m),N(KN),σs5+σs6,Ny,Ny1,M',My1,,,,,,,,,,

,变化点,2980.72,52320.56,,0.00,5232.06,0.00,2980.72,,,,,,,,,,

,,截面应力验算,,,,,,,,,,,,,,,,

,,,,,,,,,,,,,,,,,,,

,,,,,,,,,,,,,,,,,,,

,（一）混凝土法向应力的验算,,,,,,,,,,,,,,,,,

,1预施应力阶段的混凝土法向应力验算,,,,,,,,,,,,,,,,,

,梁截面下缘最大压应力бha≤0.75Rab’＝0.75×0.9×35＝23.625MPa,,,,,,,,,,,,,,,,,

,梁截面上缘最大拉应力бhl≤0.75Rlb’＝0.70×0.9×3.0＝1.89MPa,,,,,,,,,,,,,,,,,

,,,预施应力阶段的混凝土法向应力记算,,,,,,,,,,,,,,,

,截面,应力部位,Mg1（kN·m）,Ny0(kN),My0(kN·m),Aj（m2）,I1（m4),e1se1x(m),бha(Mpa）,бhl(Mpa）,,,,,,,,

,跨中,上缘,2110.91,5008,4915,0.6667,0.27389284,0.67,,0.68,,,,,,,,

,,下缘,,,,,,1.13,14.35,,,,,,,,,

,四分点,上缘,1583.1825,5046,4943,0.6667,0.274122905,0.67,,-0.62,,,,,,,,

,,下缘,,,,,,1.13,15.75,,,,,,,,,

,变化点,上缘,387.9456,5232,2981,0.7747,0.33003296,0.78,,0.62,,,,,,,,

,,下缘,,,,,,1.02,12.89,,,,,,,,,

,,,,,,,,,,,,,,,,,,,

,采用两定点吊装。吊点在支点,,,,跨中Mg=,2110.91,变化点Mg=,387.95,,,,,,,,,,

,,,Ny0(kN),My0(kN·m),Aj（m2）,Wj,Mg1（超重）,Mg1（失重）,Ny0/Aj,Mg1/Wj超,Mg1/Wj失,My0/Wj,бh超(Mpa),бh失(Mpa),,,,

,跨中,上缘,5008.20,4915.15,0.67,0.41,2533.09,1794.27,7.51,6.17,4.37,-11.98,1.71,-0.09,,,,

,,下缘,5008.20,4915.15,0.67,0.24,2533.09,1794.27,7.51,-10.47,-7.42,20.32,17.36,20.42,,,,

,变化点,上缘,5232.06,2980.72,0.77,0.42,465.53,329.75,6.75,1.10,0.78,-7.06,0.80,0.48,,,,

,,下缘,5232.06,2980.72,0.77,0.32,465.53,329.75,6.75,-1.44,-1.02,9.20,14.52,14.94,,,,

,,,,,,,,,,,,,,,,,,,

,（二）使用阶段的混凝土法向应力（扣除全部预应力损失）验算,,,,,,,,,,,,,,,,,

,荷载组合Ⅰ梁截面上缘最大压应力бha≤0.5Rab＝0.5×35＝17.5MPa,,,,,,不允许出现拉应力,,,,,,,,,,,

,荷载组合Ⅲ梁截面上缘最大压应力бha≤0.6Rab＝0.6×35＝21MPa不允许出现拉应力,,,,,,,,,,,,,,,,,

,,,,,,,,,,,,,,,,,,,

,,,,,,,,,,,,,,,,,,,

,使用阶段的混凝土法向应力（扣除全部预应力损失）计算,,,,,,,,,,,,,,,,,

,荷载组合,截面,部位,Ny1,A1,My1,Mg1,W1s,Mg2,Mp,W2s,бha,,,,,,

,,,,,,,,W1x,,,W2x,бhl,,,,,,

,,,,kN,m2,kN·m,kN·m,m3,kN·m,kN·m,m3,Mpa,,,,,,

,组合Ⅰ,跨中,上缘,4530.38,0.80304,4274.25,2110.91,0.41035,1152.17,1935.88,0.52764,6.22,,,,,,

,,,下缘,,,,,0.24184,,,0.30885,4.59,,,,,,

,,变化点,上缘,5232.06,0.9072,2980.72,387.95,0.42245,211.75,211.75,0.52325,0.44,,,,,,

,,,下缘,,,,,0.32396,,,0.36185,12.60,,,,,,

,组合Ⅲ,跨中,上缘,4530.38,0.80304,4274.25,2110.91,0.41035,1152.17,2350.40,0.52764,7.01,,,,,,

,,,下缘,,,,,0.24184,,,0.30885,3.25,,,,,,

,,变化点,上缘,5232.06,0.80304,2980.72,387.95,0.42245,211.75,490.02,0.52325,1.72,,,,,,

,,,下缘,,,,,0.32396,,,0.36185,12.58,,,,,,

,,,,,,,,,,,,,,,,,,,

,(三）使用阶段混凝土主拉应力和主压应力验算（以保证梁体有足够的抗剪强度）,,,,,,,,,,,,,,,,,

,荷载组合Ⅰ主拉应力бzl≤0.8Rlb＝0.8×3.0＝2.4MPa主压应力бza≤0.6×Rab＝0.6×35＝21MPa,,,,,,,,,,,,,,,,,

,荷载组合Ⅲ主拉应力бzl≤0.9Rlb＝0.9×3.0＝2.7MPa主压应力бza≤0.65×Rab＝0.65×35＝22.75MPa,,,,,,,,,,,,,,,,,

,,,,,,,,,,,,,,,,,,,

,,,剪应力,,,,,,,,,,,,,,,

,荷载,截面,Q（kN）,I1（m4),I2(m4),肋宽b(m),上梗肋处,,,净轴处,,,换轴处,,,下梗肋处,,

,,,,,,,Saa1(m3),Saa2(m3),τ(Mpa),Scc1(m3),Scc2(m3),τ(Mpa),Sc'c'1(m3),Sc'c'2(m3),τ(Mpa),Sbb1(m3),Sbb2(m3),τ(Mpa)

,梁的自重,跨中,0.00,0.2739,0.3507,0.18,0.1719,/,0.00,0.1916,/,0.00,0.1916,/,0.00,0.1464,/,0.00

,,变化点,263.05,0.3300,0.3851,,0.2054,,0.91,0.2358,,1.04,0.2356,,1.04,0.2266,,1.00

,第二期恒载＋汽,跨中,104.33,0.2739,0.3507,0.18,/,0.2241,0.37,/,0.0231,0.04,/,0.2397,0.40,/,0.1949,0.32

,,变化点,368.63,0.3300,0.3851,,,0.2523,1.34,,0.2171,1.15,,0.2178,1.16,,0.2668,1.42

,第二期恒载＋挂,跨中,162.09,0.2739,0.3507,0.18,/,0.2241,0.58,/,0.0231,0.06,/,0.2397,0.62,/,0.1949,0.50

,,变化点,420.11,0.3300,0.3851,,,0.2523,1.53,,0.2171,1.32,,0.2178,1.32,,0.2668,1.62

,预加力,变化点,0.00,0.3300,,0.18,0.2054,,0.00,0.2358,,0.00,0.2356,,0.00,0.2266,,0.00

,,变化点,0.00,,0.3851,0.18,,0.2523,0.00,,0.2171,0.00,,0.2178,0.00,,0.2668,0.00

,,变化点,,,,,,,0.00,,,0.00,,,0.00,,,0.00

,组合一,跨中,,,,,,,2.25,,,0.04,,,0.40,,,0.32

,,变化点,,,,,,,2.25,,,2.20,,,2.20,,,2.42

,组合三,跨中,,,,,,,0.58,,,0.06,,,0.62,,,0.50

,,变化点,,,,,,,2.44,,,2.36,,,2.36,,,2.62

бh的计算,,,,,,,,,,,,,,,,,,

截面,,锚固时,,,,,σs5+σs6引起的,,,,,бh,,,,,,

,,Ny1/A1,My1,I1（m4),y1（m）,My1*y1/I1,Ny/A2,M',I2(m4),y2,M'*y1/I2,（Mpa）,,,,,,

,,1,2,3,4,5=2*4/3,6,7,8,9,10=7*9/8,1+5+6+10,,,,,,

跨中,上梗肋,5.64,4274.25,0.27,0.47,-7.29,2.03,1613.96,0.35,0.46,2.14,2.52,,,,,,

,净轴,,,,0.00,0.00,2.03,1613.96,0.35,0.00,-0.01,7.66,,,,,,

,换轴,,,,0.00,-0.04,2.03,1613.96,0.35,0.00,0.00,7.63,,,,,,

,下梗肋,,,,-0.73,11.43,2.03,1613.96,0.35,-0.74,-3.38,15.72,,,,,,

变化点,上梗肋,5.77,2980.72,0.33,0.58,-5.25,0.00,0.00,0.39,0.54,0.00,0.52,,,,,,

,净轴,,,,0.00,0.00,0.00,0.00,0.39,-0.05,0.00,5.77,,,,,,

,换轴,,,,0.05,-0.41,0.00,0.00,0.39,0.00,0.00,5.36,,,,,,

,下梗肋,,,,-0.32,2.88,0.00,0.00,0.39,-0.36,0.00,8.65,,,,,,

,,,,,,,,,,,,,,,,,,,

,,,бhx=бh±б计算表,,,,,,,,,,,,,,,

,截面,应力部位,Mg1(kN·m）,I1（m4）,y1（m）,Mg1×y1/I1（Mpa）,Mg2+M汽,Mg2+M挂,I2,y2,±(Mg2+M汽)×y2/I2,±(Mg2+M挂)×y2/I2,бh（Mpa）,бhx（Mpa）,,,,

,,,,,,,,,,,,,,组合Ⅰ,组合Ⅲ,,,

,,,1,2,3,4,5,6,7,8,9,10,11,4+9+11,4+10+11,,,

,跨中,上梗肋,2110.91,0.27389,0.47,3.60,3088.05,3502.57,0.35067,0.46,4.09,4.64,2.52,10.21,10.76,,,

,,净轴,,,0.00,0.00,,,,0.00,-0.03,-0.03,7.66,7.64,7.63,,,

,,换轴,,,0.00,0.02,,,,0.00,0.00,0.00,7.63,7.65,7.65,,,

,,下梗肋,,,-0.73,-5.65,,,,-0.74,-6.48,-7.35,15.72,3.60,2.73,,,

,变化点,上梗肋,387.95,0.33003,0.58,0.68,616.45,701.77,0.38505,0.54,0.86,0.98,0.52,2.06,2.18,,,

,,净轴,,,0.00,0.00,,,,-0.05,-0.0