_船舶静力学课后习题答案解析.pptx

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1、Exercise1-1某海洋客船L=155m，B=18m，d=7.1m，V=10900m3，Am=115m2，Aw=1980m2。试求Cb,Cp,Cw,Cm,Cvp。已知:L=155m,B=18m,d=7.1m,V=10900m3,Am=115m2,Aw=1980m2求：Cb=V/LBd=10900/(155*18*7.1)=0.550Cp=V/Lam=10900/(155*115)=0.62Cw=Aw/BL=19800/(18*155)=0.710Cm=Am/Bd=115/(18*7.1)=0.900Cvp=V/Awd=10900/(1980

2、*7.1)=0.775Exercise1-2两相等的正圆锥体在底部处相连接，每个锥体的高等于其底部直径．这个组合体浮于水面，使其两个顶点在水表面上，试绘图并计算：（1）中横剖面系数Cm，（2）纵向棱形系数Cp，（3）水线面系数Cw，（4）方形系数Cb。V=(Ad*h)/3Exercise1-2已知：Lpp=315ft=96.012m;B=45ft6in=13.868m;d=18ft8in=5.690m;Δ=4618t(海水);Aw=10700sq.ft=994.03m2;Am=828sq.ft=76.921m2.解:Cp=Δ/ω/(Am*Lpp

3、)=4618/(1.025*76.921*96.012)=0.610Cm=Am/(B*d)=76.921/(13.868*5.690)=0.975Cw=Aw/(Lpp*B)=994.03/(96.012*13.868)=0.747TPI(s.w)=Aw/420=10700/420=25.476t/”TPI(f.w)=Aw/432=10700/432=24.768t/”2/3Exercise1-2∵Am=πr2/2Aw=2*0.2*4r*r=4r2V=1/3(πr2)*2r=2/3πr3∴Cm=Am/(2r*r)=π/4=0.785Cp=V/(1

4、/2πr2*4r)=1/3=0.333Cwp=Aw/(4r*2r)=1/2=0.500Cb=V/(4r*2r*r)=π/12=0.261Cvp=V/(4r4/42*r)=π/6=0.522Exercise1-3某海洋客货轮排水体积V=9750m3，长宽比L/B=8，宽度吃水比B/d=2.63，船型系数Cm=0.9,Cp=0.66,Cvp=0.78，试求：（1）船长L；（2）船宽B;（3）吃水d；（4）水线面系数Cw；（5）方形系数Cb；（6）水线面面积Aw。解：Cp=V/CmBdL=V/CmB(B/2.63)(8B)=2.63V/8CmB3∴B

5、=((9750*2.63)/(8*0.66*0.9))1/3=17.54mL=8*17.54=140.32md=17.54/2.63=6.67mCb=Cm.Cp=0.9*0.66=0.594Cw=Cb/Cvp=0.594/0.78=0.762Aw=0.762*140.32*175.54=1875.44m2Exercise1-4已知某巡逻艇d=2.05m，L/B=6.7，B/d=2.46，Cb=0.53。求排水体积。解：B=B/d*d=2.46*2.05=5.043L=L/B*B=6.7*5.043=33.788V=CbLBd=0.53*33.7

6、88*5.043*2.05=185.13tExercise1-5已知某游艇V=25m3，L/B=5，B/d=2.7，Cb=0.52。求该艇的主尺度。解：∵Cb=V/LBd=V/(5B*B*B/2.7)∴B=((2.7*25)/(5*0.52))1/3=2.96mL=5*B=14.8md=B/2.7=2.96/2.7=1.10mExercise1-6某内河驳船的水下体积V=4400m3，吃水d=2.6m，方形系数Cb=0.815，水线面系数Cw=0.882，求水线面面积Aw。已知：Cb=0.815;Cw=0.882;V=4400t解：Cvp=Cb

7、/Cw=0.815/0.882=0.924∵Cvp=V/(Aw.d)∴Aw=V/(Cvp.d)=4400/(0.924*2.6)=1831.5m2Exercise1-7某军舰L=92m;B=9.1m;d=2.9m;Cb=0.468;Cm=0.814求排水体积V、舯横剖面面积、纵向棱形系数。解：V=Cb.LBd=0.468*92*9.1*2.9=1136.25m3Am=Cm.Bd=0.814*9.1*2.9=21.48m2Cp=Cb/Cm=0.468/0.814=0.575Exercise1-8设曲线方程为y=sinx，利用下列各种方法计算πsi

8、nxdx。∫0并与精确到小数点5位的精确解比较，计算其误差。1.梯形法，2.辛浦森法（三坐标）030609012015018000.50.86610.