预应力简支梁计算表格

1、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

2、,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 ,80

3、00 ,-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

4、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 ,520

5、833 ,-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,2700,155,4

6、18500 ,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 ,

7、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 ,1176

8、0,891475 ,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,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 ,弯距,3

9、263.08 ,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

10、,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

11、.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

12、.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,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

13、,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),弧度,角度,1/4点,N1(N2),/,1182.35 ,

14、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

15、,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

16、.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,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 ,29

17、78.96 ,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.

18、75 ,29731694 ,-4.26 ,124964 ,29856658 ,扣除管道面积,-279.40 ,160.72 ,-44905 ,0 ,-93.97 ,-2467380 ,-2467380 ,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 ,8030.40 ,533693 ,32

19、959052 ,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 ,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.

20、40 ,160.28 ,36928 ,0 ,-93.83 ,2028548 ,2028548 ,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 ,7747.17 ,605239 ,33632508 ,-629212 ,33003296 ,换算截面,毛截面,8880.00 ,72.3

21、5 ,642463 ,73.59 ,37861157 ,1.24 ,13628 ,37874785 ,钢束换算面积,192.00 ,130.88 ,25130 ,0 ,-57.30 ,630304 ,630304 ,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 ,11527.17 ,

22、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 ,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)

23、,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

24、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 ,5

25、0 ,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

26、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

27、 ,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,270

28、0 ,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,23

29、0 ,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

30、 ,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 ,

31、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 ,30776

32、3 ,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

33、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 ,

34、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 ,2

35、39638 ,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s1,截面位置,钢束,=-,x (m),*+k*x,1-e-(+kx),k1-e-(+kx)(Mpa),角度,弧度,1/4点,N1(N2),7,0.12,7.57 ,0.030

36、8 ,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 ,

37、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 ,0.0

38、003 ,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s2（Mpa),钢束,N1(N2),N3,N4,N5,N6,l(mm),31068.49 ,31019.14 ,31189.58 ,31057.99 ,27798.16 ,s2(Mpa),73.39,73.50,73.10,73.41,82.02,截面s4计算表,钢束号,锚固时预加纵向轴力Ny0,Ny0(0.1KN),ey

39、i,My0=Ny0*eyi,My0 (Mpa),计算应力损失的钢束号,eyj (cm),hl,s4=ny*hl (Mpa),y0,y0*ay,cos,Ny0,Ny0/Aj,My0*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.

40、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

41、,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 ,

42、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

43、=,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 ,316

44、66.73 ,-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.

45、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,

46、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 ,451

47、13.77 ,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 ,782727.7

48、499,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,

49、890.98 ,7484.229852,1,7484.229852,71.54 ,535428.7432,45303.76908,4274245.594,s5=,0.045*1395,62.775,混凝土收缩须变损失s6,h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,h (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 ,15

50、83.1825,3359.87 ,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 ,()=,0.312,u=,818.74,h=,*2*Ah/u=,28.58 ,查表f2=,1.61 ,f=,2*1.61=,3.22 ,(,)=,(t,)=,2.77 ,=,0.23*103, 配筋率,跨中,1/4点,变化点,A (cm2),8030.40 ,8030.40 ,9072.00 ,Ay (cm2),

51、50.40 ,50.40 ,50.40 ,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 ,3.24 ,3.02 ,1.77 ,1+10*,1.20 ,1.19 ,1.10 ,分子,(,),2.773,2.773,2.773,=,0.00023,0.00023,0.00023,h,17.60 ,19.03 ,10.90 ,n*h*(,),271.86 ,293.98 ,168.36 ,Ey*,42.55 ,42

52、.55 ,42.55 ,n*h*(,)+Ey*,314.41 ,336.53 ,210.91 ,s6 (Mpa),261.34 ,282.94 ,192.00 ,永存应力,截面,钢束,k,锚固前应力损失,y,锚固后应力损失,永存应力,锚固阶段的预加力，（5+6）所引起的轴力和剪力,s1,s2,s4,s5,s6,s5+s6,sin,cos,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 ,

53、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

54、 ,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.

55、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

56、 ,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.

57、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),s5+s6,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ha0.75Rab0.750.93523.625MPa,梁截面上缘最大拉应力hl0.75Rlb0.700.93.01.89MPa,预施应力阶段的混凝土法向应力记算,截面,应力部位,Mg1 （kNm）,Ny0(kN),My0(kNm),A

58、j（m2）,I1（m4),e1s e1x (m),ha (Mpa）,hl (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

59、Mg=,387.95 ,Ny0(kN),My0(kNm),Aj（m2）,Wj,Mg1（超重）,Mg1（失重）,Ny0/Aj,Mg1/Wj超,Mg1/Wj失,My0/Wj,h超 (Mpa),h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

60、.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 梁截面上缘最大压应力ha0.5Rab0.53517.5MPa,不允许出现拉应力, 荷载组合 梁截面上缘最大压应力ha0.6Rab0.63521MPa 不允许出现拉应力,使用阶段的混凝土法向应力（