内河船舶总纵强度计算书

'11.船舶总纵强度与扭转强度计算书2005年12月 11.一.前言本船为航行于A、B级航区内河船舶，船体结构为混合骨架型（#22-#117甲板和船底为纵骨架式，其他为横骨架式）。本船有一个货舱，大开口范围#25至#112肋位，无舱口盖。船舶主尺度及主要参数如下：总长Loa=72.33m计算船长L=68.82m垂线间长LBP=68.82m型宽B=11.9m型深D=4.2m设计吃水d=3.5m方形系数Cb=0.889水线面系数CW=0.976货舱口宽度b=8.775m货舱口长度l1=45.24m舱壁间距l1H=49.4m装载散货量W=2088.87t本船b/B=0.737和l1/l1H=0.916，属于大开口船，其总纵强度与扭转强度按照《钢质内河船舶入级与建造规范》（2002）和2004年修改通报及《钢质内河船舶船体结构直接计算指南》（2002）对大开口船的规定，校核A、B、C级航区的总纵强度与扭转强度及屈曲强度。二.总纵弯曲外力计算1.载荷工况及重量分布载荷工况及重量分布的数值，见表1。表1各载荷工况及重量分布表工况站距满载出港（A）满载到港（A）满载出港（B、C）满载到港（B、C）空载出港空载到港0—165.63342.93565.63342.93565.63342.9351—243.49343.49343.49343.49343.49343.493 11.2—339.63139.63139.63139.63139.63139.6313—4129.707129.707133.509133.50931.43631.4364—5163.707163.707169.335169.33518.20518.2055—6165.544162.844171.172168.47220.04217.3426—7163.175163.175168.803168.80317.67317.6737—8162.544162.544168.172168.17217.04217.0428—9163.175163.175168.803168.80317.67317.6739—10163.008163.008168.636168.63617.50617.50610—11162.038162.038167.666167.66616.53616.53611—12162.638162.638168.266168.26617.13617.13612—13162.638162.638168.266168.26617.13617.13613—14162.638162.638168.266168.26617.13617.13614—15163.008163.008168.636168.63617.50617.50615—16162.038162.038167.666167.66616.53616.53616—17162.638162.638168.266168.26617.13617.13617—18122.994122.994126.827126.82723.92023.92018—1921.51721.51721.51721.51721.51721.51719—2022.02522.02522.02522.02522.02522.025合计2563.7912538.3932644.5902619.192474.920449.5222各种装载静水剪力NS和弯矩MS各种装载静水剪力NS和弯矩MS，见表2。表2各种装载静水剪力NS和弯矩MS11.站号A级满载出港A级满载到港剪力Ns（KN）弯矩Ms(KN*m)剪力Ns（KN）弯矩Ms(KN*m)00.00000.0000.000171.222276.080-104.478-343.0712-379.964-95.838-496.025-1532.4323-1087.177-2443.374-1140.244-4488.6114-1144.848-6095.390-1150.247-8560.8865-974.953-9555.977-947.202-12304.2486-800.240-12428.803-758.161-15379.226 11.7-650.025-14747.434-567.748-17807.3668-505.336-16563.074-378.748-19588.7369-353.806-17873.482-193.207-20731.64410-202.816-18667.912-21.477-21265.54711-54.774-18952.313144.810-21223.28112112.384-18699.109323.267-20593.37313292.863-17852.979510.897-19339.42514496.559-16351.608708.390-17428.97115726.171-14111.198922.643-14816.60316955.163-11088.6091143.307-11462.803171207.114-7245.7411384.351-7321.880181117.124-3126.6171262.327-2978.28819267.077-610.696342.123-412.535200.0000.0000.0000.000最大值-1144.8481207.114-18952.313-1150.2471384.351-21265.547站号B级满载出港B级满载到港剪力Ns（KN）弯矩Ms(KN*m)剪力Ns（KN）弯矩Ms(KN*m)000.0000.0000.0001-42.712-241.108-198.652-306.0532-523.830-1375.618-635.307-1695.6353-1296.383-4648.274-1341.495-5034.3494-1373.149-9369.454-1376.209-9636.6865-1137.886-13820.326-1146.341-13906.2006-890.168-17447.486-930.477-17415.5337-670.826-20278.085-713.157-20186.0848-462.826-22379.862-497.434-22218.0949-254.916-23772.316-292.086-23531.98110-50.884-24462.212-105.420-24177.30111147.705-24465.44883.054-24182.83512358.295-23770.841288.755-23516.11713577.045-22344.006503.291-22132.69914805.827-20153.914727.858-20000.404151049.010-17158.894969.187-17073.536161293.866-13331.5361216.775-13312.834171562.474-8628.4751484.743-8672.866181454.823-3650.9111372.085-3768.030 11.19441.693-584.850399.574-713.962200.0000.0000.0000.000最大值-1373.1491562.474-24465.448-1376.2091484.743-24182.835站号空载出港空载到港剪力Ns（KN）弯矩Ms(KN*m)剪力Ns（KN）弯矩Ms(KN*m)00.0000.0000.0000.0001604.7201028.388387.5681070.6912824.1613462.351645.7013242.6103834.6356288.403696.6185941.5994737.0108965.785601.1298564.5565531.40511125.975387.17210659.7396373.98312666.990189.00412052.0287218.82213674.86219.28712816.875861.72614150.147-142.80513015.8059-86.10114105.354-275.00712712.80410-221.68813577.166-376.37112011.44211-340.19112615.597-468.02010980.88312-429.47911299.608-535.9849678.08913-495.2799719.084-587.7788171.03314-528.9777968.833-621.5316518.06315-531.7846156.291-626.6524798.77716-516.5794364.861-599.1793117.59717-471.0472676.984-523.4541612.40618-345.4761280.893-366.476504.07719-200.779345.713-204.603-60.467200.1710.0000.0000.000最大值834.635-531.78414150.147696.618-626.65213015.80511.3.静水剪力Nst和弯矩Mst包络线及最大值 11.静水弯矩与剪力包络线数值，见表3。站号剪力Ns（KN）弯矩Ms(KN*m)0001604.721070.6912824.1613462.3513-1341.56288.4034-1376.21-9636.695-930.477-13906.26-713.157-17447.57-505.336-20278.18-353.806-22379.99-376.371-23772.310-468.02-24462.211-535.985-24465.412-542.359-23770.813-587.778-2234414805.827-20153.9151049.01-17158.9161293.866-13331.5171562.474-8672.87181454.823-3768.0319441.693-713.9622000最大值1562.474-24465.44.波浪垂直弯矩MW=aKL2B(Cb+1.2)×10-3=22853.033kN.m其中：K=-2.12L+340a=1.0(A级航区:a=1.0;B级航区:a=0.87;C级航区:a=0.83)MW值在船中0.25L范围内保持不变，船长两端趋于零。11.三．船体扭转外力计算1)水动力扭矩MT=9.81akCTSCbLB3(1+1.24ZS/D)=9786.0269kN.m其中：k=0.162+0.556/BCTS=(0.04B/d+2.84)×10-2 11.a=1.0(A级航区:a=1.0;B级航区:a=0.80;C级航区:a=0.60)ZS=1.88890.04m(Zs为船中大开口剖面的扭转中心至船底基线的距离)MT值在两端为零，在船中最大，MT沿船长按余弦曲线分布。原点在船中，距原点X处的水动力扭矩按下式确定：MT(X)=MTCOS(PI*X/L)2)货物扭矩（船中）装卸状态M0TC=0.409Wb=7496.904kN.m航行状态MTC=0.245Wb=4490.810kN.mMTC值在船两端等于零，沿两端到船中的MTC值按直线分布，见表4。表四货物扭矩站号装卸状态M0TC航行状态MTC0001749.690449.08121499.380898.16232249.0701347.24342998.7601796.32453748.4502245.40564498.1402694.48675247.8303143.35785997.5203592.64896747.2104041.729107496.9044490.810116747.2104041.729125997.5203592.648135247.8303143.357144498.1402694.486153748.4502245.405162998.7601796.324172249.0701347.243184192.5292898.16219749.690449.0812000最大值7496.9044490.810四.船体弯、扭总强度校核1.船体薄壁梁离散及剖面特性计算 11.将船体沿船长方向划分为21个节点，20个薄壁梁单元，取7种剖面类型。2.船体应力校核选取7个校核剖面，各计算剖面的静水弯曲应力、波浪合成应力及其与翘曲应力之合成应力计算与衡准汇总于表4中。表中:静水弯曲应力：σS=MS/WV×103N/mm2波浪垂直弯曲和静水弯曲合成应力：σC=(MS+MW)/WV×103N/mm2弯扭合成应力：σ1=σC+σWN/mm2由表5可见，本船各项应力均小于许用应力值，因此总纵强度与扭转强度满足规范要求。表5应力校核（单位：W—cm3，I—cm4，M—kN·m，σ—Mpa）校核剖面项目No.1(#14)No.2(#24)No.3(#65)No.4(#85)No.5(#110)No.6(#115)No.7(#121)截面剖面模数甲板处Wd652521723522580476580476774842714160689557船底处Wb566969.1572749.4887037.6887037.6732016.7842627.5448319.2舱顶处Wc614742.4679577.6554163.0554163.0731801.3678352.3642933.3最大静水弯矩Ms3784.368274.0724390.2122614.0510523.416734.782618.95静水弯曲应力甲板处σsd<1375.80011.43642.01838.95813.5819.4303.798船底处σsb<1376.67514.44627.49625.49414.3767.9935.842舱顶处σsc<1376.15612.17544.01340.80814.3809.9284.073波浪垂直弯矩Mw6446.57910676.8722853.0321062.879941.137716.7815047.562合成弯矩Ms+Mw10230.9318950.9447243.2443676.9220464.5414451.567666.512合成应力甲板处σcd<15715.679126.192681.387175.243326.411220.235711.1180船底处σcb<15718.045033.08753.259649.239127.956417.150617.1006舱顶处σcc<15716.642627.886485.251578.816027.964621.303911.9243装卸状态翘曲应力甲板处Sw0d78.755050.455028.30680.434929.016451.742380.8789船底处Sw0b68.564740.164522.53350.346223.098441.189363.8631总应力甲板处Tnd<13784.554661.890870.324439.392742.597861.172784.6769船底处Tnb<13775.239454.610750.029825.840137.474349.181969.7048 11.航行状态翘曲应力甲板处Swd56.029336.283520.25170.310520.74437.193157.60617船底处Swb48.779528.883316.12130.247216.513129.607445.48665总应力甲板处Tvd<15771.708462.4761101.638875.553847.155257.428868.7242船底处Tvb<15766.824561.971069.380949.486344.469546.758062.587211.五.变形校核1.扭转变形大开口范围平均扭转角与舱口对角线伸长见表6表6大开口范围平均扭转角与舱口对角线伸长项目装卸状态航行状态大开口范围平均扭转角（deg/m）-0.01049-0.00715舱口对角线伸长（mm）-11.2568-7.66394六.屈曲强度校核本船甲板和船底采用纵骨架式，甲板板、船底板的弯曲屈曲校核见表7：表7屈曲强度计算与校核项目板厚t(mm)短边长度b(mm)欧拉应力σE(N/mm2)临界应力σcr(N/mm2)实际应力(N/mm2)安全系数K(>1.35)备注甲板板12520404.733200.88981.38712.468满足船底板8520179.882158.24853.25962.971满足其中：σE=76(100t/b)2N/mm2σcr=σY(1-σY/4/σE)N/mm2σY=235N/mm2七.结论由上述计算可知：该船总纵强度与扭转强度及屈曲强度满足规范。 11. 11.'