预应力简支梁计算表格.xls

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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+Ixcm2cmcm3cm4cmcm4cm4大毛截面翼板36007.52700067500561136016911427669三角承托15016.667250020847331459331668腹板261087.52283754572938-2414815476054485下三角360153.3551888000-9028917672899767马蹄108017018360036000-106122094631224546378004966634

2、6846462827440632959052小毛截面翼板27007.5202505062563.501088772410938349三角承托15016.667250020854.33442842443050腹板261087.52283754572938-16.507104105283347下三角360153.3551888000-82.3024382722446272马蹄108017018360036000-99.001058467610620676690048991346677712506392329731694大毛截面形心到上缘距离ys1=63.67cm小毛截面形心到上缘距离ys2=71.

3、00cm检验截面效率指标(希望0.5)上核心距=36.33cm下核心距=66.36cm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+Ixcm2cmcm3cm4cmcm4cm4大毛截面翼板36007.5270006750064.851513962115207121三角承托15016.667250020855.68465080465288腹板207072.51500752281313-0.15472281360下三角360123.34438880

4、00-50.95934545942545马蹄2700155418500520833-82.651844401018964843888064246328778553498330337861157小毛截面翼板27007.5202505062572.161406035914110984三角承托15016.667250020863.00595280595488腹板207072.515007522813137.161062172387530下三角360123.3443888000-43.64685499693499马蹄2700155418500520833-75.34153241741584500779

5、8063571328609803077152933632508ys1=72.35cmys2=79.66cm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+Ixcm2cmcm3cm4cmcm4cm4大毛截面翼板36007.5270006750063.451449317914560679三角承托15016.667250020854.28441994442202腹板891097.586872520214563-26.5562807542649531712660898225202822712121592741498

6、198小毛截面翼板27007.5202505062568.311259730612647931三角承托15016.667250020859.14524608524816腹板891097.586872520214563-21.6941934252440798811760891475202653961731533937580736ys1=70.95cmkx=46.20cmys2=75.81cmg=17.25g1=20.18g2= 10.96恒载内力跨中四分点变化点支点0.500.250.050.00一期弯距2110.911583.18387.950.00剪力0.00145.58263.05291.

7、16二期弯距1152.17864.13211.750.00剪力0.0079.46143.58158.92弯距3263.082447.31599.690.00剪力0.00225.04406.62450.08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MmaxQmaxMmaxQmaxMmaxQmaxQmaxKN.mKNKN.mKNKN.mKNKN一期恒载2110.910.001583.18145.58387.95263.05291.16二期恒载1152.170.00864.1379.46211.75143.58158.92总恒载=1+23263.080.002447.31225.04599

8、.69406.62450.08汽-201935.88104.331603.57195.59404.70225.05292.50挂-1002350.40162.091913.60266.09490.02276.53277.56恒+汽5198.96104.334050.88420.631004.39631.67742.58恒+挂5613.48162.094360.91491.131089.71683.15727.64Sji=1.2*恒+1.4*汽6625.93146.065181.77543.871286.21803.02949.60Sjm=1.2*恒+1.1*挂6501.14178.305041

9、.73562.751258.65792.13845.41汽/6*100%0.371.000.400.460.400.360.39提高系数1.031.001.031.031.031.001.03挂/7*100%0.421.000.440.540.450.400.38提高系数1.001.031.001.021.001.001.00提高后Sji6824.71146.065337.22560.191324.80803.02978.08提高后Sjm6501.14183.655041.73574.001258.65792.13845.41钢束布置计算钢束其弯高度y1y2L1x3RN1(N2)2112.19

10、8.8110099.2571182.35N35112.1938.8110099.2575207.12N4103.325.8877.4210096.59152272.05N512025.8894.1210096.59152762.15N6120.8830.9089.9810095.11181838.41各计算截面钢束位置及钢束群位置x4(cm)R(cm)sincosa0(cm)ai(cm)ay(cm)1/4点N1(N2)/1182.3599.0019.72N3/5207.1299.00N4/2272.0516.716.70N565.232762.150.023620.999723030.77N6

11、82.651838.410.044960.998994243.86变化点N1(N2)71.031182.350.060070.99819911.1449.12N3565.215207.120.108550.99409939.77N4515.342272.050.226820.9739416.775.92N5650.232762.150.235410.9719030107.63y角度ax5x5*tan(a)a0ai支点N1(N2)21.007.0032.323.979.0026.0372.17N351.0015.0028.637.679.0052.33N4103.3015.0029.307.85

12、16.70112.15N5120.0015.0021.265.7030.00144.30N6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N1(N2)1182.357.00144.451238.97100.002966.85140.00N35207.127.00636.17744.79100.002961.91140.00N42272.0515.00594.82794.66100.002978.96140.00N52762.1515.00723.13659.77100.002965.80140.00N61838.4118.00577.55642.35100.002639.82140

13、.00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管道面积= 46.566n= 6ny=跨中净截面毛截面6900.0071.0048991366.7529731694-4.26扣除管道面积-279.40160.72-449050-93.976667.1744500829731694换算截面毛截面7800.0063.6749666366.46329590522.78钢束换算面积230.40160.72370300-94.268030.40533693329590521/4点净截面毛截面6900.0071.0048991366.

14、7629731694-4.24扣除管道面积-279.40160.28-447810-93.516667.1744513229731694换算截面毛截面7800.0063.6749666366.45329590522.77钢束换算面积230.40160.28369280-93.838030.4053359132959052变化点净截面毛截面7980.0079.6663571378.1233632508-1.54扣除管道面积-232.83130.88-304740-52.767747.1760523933632508换算截面毛截面8880.0072.3564246373.59378611571.2

15、4钢束换算面积192.00130.88251300-57.309072.0066759337861157支点净截面毛截面11760.0075.8189147575.1637580736-0.65扣除管道面积-232.83107.83-251060-32.6711527.1786636937580736换算截面毛截面12660.0070.9589822571.50414981980.55钢束换算面积192.00107.83207040-36.3312852.0091892941498198截面对重心轴静矩计算跨中b1=180rs=66.75b2=240rs=Ai(cm2)yi(cm)Si(cm3

16、)Ai(cm2)yi(cm)翼板翼缘对净轴静矩270059159965翼缘对换轴静矩翼板360059三角承托150507512三角承托15050肋板90494432肋板9049171909下三角马蹄部分对净轴静矩3608731171马蹄部分对换轴静矩下三角36087马蹄1080103111514马蹄1080104肋板3608329971肋板36084管道-27994-26256管道23094146401翼板净轴以上面积对净轴静矩270059159965净轴以上面积对换轴静矩翼板360058三角承托150507512三角承托15049肋板9322624108肋板93225191584-1翼板换轴以上面积对净轴静矩静矩270059159965换轴以上面积对换轴静矩静矩翼板360058三角承托150507512三角承托15049肋板9262624098肋板926251915751/4点rs=67rs=Ai(cm2)yi(cm)Si(cm3)Ai(cm2)yi(cm)跨中净截面66.75翼板翼缘对净轴静矩270059160015翼缘对换轴静矩翼板360058三角承托150507515三角承托1

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