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1、船舶总纵强度与扭转强度计算书一. 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 = 72.33 m计算船长 L = 68.82 m垂线间长 LBP = 68.82 m型 宽 B = 11.9 m型 深 D = 4.2 m设计吃水 d = 3.5 m方形系数 Cb = 0.889水线面系数 CW = 0.976货舱口宽度 b = 8.775 m货舱口长度 l1 = 45.24 m舱壁间距 l1H = 49.4 m装载散货
2、量W = 2088.87 t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0165.63342.93565.63342.93565.63342.9351243.49343.4934
3、3.49343.49343.49343.4932339.63139.63139.63139.63139.63139.63134129.707129.707133.509133.50931.43631.43645163.707163.707169.335169.33518.20518.20556165.544162.844171.172168.47220.04217.34267163.175163.175168.803168.80317.67317.67378162.544162.544168.172168.17217.04217.04289163.175163.175168.803168.80
4、317.67317.673910163.008163.008168.636168.63617.50617.5061011162.038162.038167.666167.66616.53616.5361112162.638162.638168.266168.26617.13617.1361213162.638162.638168.266168.26617.13617.1361314162.638162.638168.266168.26617.13617.1361415163.008163.008168.636168.63617.50617.5061516162.038162.038167.66
5、6167.66616.53616.5361617162.638162.638168.266168.26617.13617.1361718122.994122.994126.827126.82723.92023.920181921.51721.51721.51721.51721.51721.517192022.02522.02522.02522.02522.02522.025合计2563.791 2538.3932644.5902619.192474.920449.5222 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MS站号A级满载出
6、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)00.00000.0000.000171.222276.080-104.478-343.0712-379.964-95.838-496.025-1532.4323-1087.177-2443.374-1140.244-4488.6114-1144.848-6095.390-1150.247-8560.8865-974.953-9555.977-947.202-12304.2486-800.240-12428.803-758.161-15379.2267-650.025-14747.434-567.748-17
7、807.3668-505.336-16563.074-378.748-19588.7369-353.806-17873.482-193.207-20731.64410-202.816-18667.912-21.477-21265.54711-54.774-18952.313144.810-21223.28112112.384-18699.109323.267-20593.37313292.863-17852.979510.897-19339.42514496.559-16351.608708.390-17428.97115726.171-14111.198922.643-14816.60316
8、955.163-11088.6091143.307-11462.803171207.114-7245.7411384.351-7321.880181117.124-3126.6171262.327-2978.28819267.077-610.696342.123-412.535200.0000.0000.0000.000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)000.0000.0000.0001-42.712-241.10
9、8-198.652-306.0532-523.830-1375.618-635.307-1695.6353-1296.383-4648.274-1341.495-5034.3494-1373.149-9369.454-1376.209-9636.6865-1137.886-13820.326-1146.341-13906.2006-890.168-17447.486-930.477-17415.5337-670.826-20278.085-713.157-20186.0848-462.826-22379.862-497.434-22218.0949-254.916-23772.316-292.
10、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
11、.866181454.823-3650.9111372.085-3768.03019441.693-584.850399.574-713.962200.0000.0000.0000.000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.
12、6185941.5994737.0108965.785601.1298564.5565531.40511125.975387.17210659.7396373.98312666.990189.00412052.0287218.82213674.86219.28712816.875861.72614150.147-142.80513015.8059-86.10114105.354-275.00712712.80410-221.68813577.166-376.37112011.44211-340.19112615.597-468.02010980.88312-429.47911299.608-5
13、35.9849678.08913-495.2799719.084-587.7788171.03314-528.9777968.833-621.5316518.06315-531.7846156.291-626.6524798.77716-516.5794364.861-599.1793117.59717-471.0472676.984-523.4541612.40618-345.4761280.893-366.476504.07719-200.779345.713-204.603-60.467200.1710.0000.0000.000最大值834.635-531.78414150.14769
14、6.618-626.65213015.8053. 静水剪力Nst和弯矩Mst包络线及最大值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)0001604.721070.6912824.1613462.3513-1341.56288.4034-1376.21-9636.695-930.477-13906.26-713.157-17447.57-505.336-20278.18-353.806-22379.99-376.371-23772.310-468.02-24462.211-535.985-24465.412-542.359-23770.813-587.778-22
15、34414805.827-20153.9151049.01-17158.9161293.866-13331.5171562.474-8672.87181454.823-3768.0319441.693-713.9622000最大值1562.474-24465.44. 波浪垂直弯矩MW = aKL2B(Cb+1.2)10-3 = 22853.033 kN.m 其中：K = -2.12L+340 a = 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。三船体扭转外力计算1) 水动力扭矩MT = 9.81ak
16、CTSCbLB3(1+1.24ZS/D) = 9786.0269 kN.m 其中： k = 0.162+0.556/B CTS = (0.04B/d+2.84)10-2 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*处的水动力扭矩按下式确定：MT(*)= MT COS(PI*/L)2) 货物扭矩（船中）装卸状态M0TC = 0.409 Wb = 7496.904 kN.m 航行状态MTC
17、= 0.245 Wb = 4490.810kN.m MTC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 MTC0001749.690449.08121499.380898.16232249.0701347.24342998.7601796.32453748.4502245.40564498.1402694.48675247.8303143.35785997.5203592.64896747.2104041.729107496.9044490.810116747.2104041.729125997.5203592.648135247.8
18、303143.357144498.1402694.486153748.4502245.405162998.7601796.324172249.0701347.243184192.5292898.16219749.690449.0812000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：S = MS/WV103 N/mm2 波浪垂直弯曲
19、和静水弯曲合成应力：C = (MS+MW)/WV103 N/mm2 弯扭合成应力：1 = C +W N/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：Wcm3，Icm4，MkNm，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Wb566969.1572749.4887037.6887037.6732016.78426
20、27.5448319.2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sd1375.80011.43642.01838.95813.5819.4303.798船底处sb1376.67514.44627.49625.49414.3767.9935.842舱顶处sc1376.15612.17544.01340.80814.3809.9284.073波浪垂直弯矩Mw6446.5791067
21、6.8722853.0321062.879941.137716.7815047.562合成弯矩Ms+Mw10230.9318950.9447243.2443676.9220464.5414451.567666.512合成应力甲板处cd15715.679126.192681.387175.243326.411220.235711.1180船底处cb15718.045033.08753.259649.239127.956417.150617.1006舱顶处cc15716.642627.886485.251578.816027.964621.303911.9243装卸状态翘曲应力甲板处Sw0d78.
22、755050.455028.30680.434929.016451.742380.8789船底处Sw0b68.564740.164522.53350.346223.098441.189363.8631总应力甲板处Tnd13784.554661.890870.324439.392742.597861.172784.6769船底处Tnb13775.239454.6107 50.029825.840137.474349.181969.7048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Tvd15771.7084 62.4761 101.6388 75.5538 47.1552 57.4288 68.7242 船底处Tvb1.35) 备注 甲板板 12 520 404.733 200.88981.38712.468满足 船底板 8 520 179.882158.24853.2596 2.971满足 其中：E = 76(100t/b)2 N/mm2 cr = Y(1-Y/4/E ) N/mm2Y = 235 N/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。
