不规则设备面积、容积计算查询手册

PAGE面积、容积计算查询手册1、常用面积、体积计算公式名称简图计算公式表面积S，侧表面积M′，总面积M体积V正六角柱S=2×2.598a2+6ahV=2.598a2h正方角锥台S=a2+b2+4(×h)V=（a2+b2+ab）球S=4πr2=πd2V=πr3=圆锥M′=πrl=πrV=·πr2截头圆锥M′=πL（r+r1）V=（r2+r12+rr1）缺球S=πdh+c2V=（3d-2h）盆头贮罐M=3.14DH+2×1.075D2V=0.78D2H+2×0.123D390°锥底贮罐M=3.14DH+1.075D2+1.11D2V=0.785D2H+0.123D3+0.131D360°锥底贮罐M=3.14DH+1.075D2+1.57D2V=0.785D2H+0.123D3+0.22D3球底M=1.57D2周长=3.14D截面积=0.785D2V=0.26179D3碟底M=1.0748D2V=0.1227D3常用面积计算公式表F面积P半周长L圆周长度R外接圆的半径名称简图计算公式名称简图计算公式正方形F=a2a=0.707a=d=1.414a=1.414圆F=πr2=0.7854d2L=2πr=6.2832rR==0.564d==1.128长方形F=ab=a=bd=椭圆F=πab2P≈π2P=3.14165×平行四边形F=bhH=F/bb=F/h扇形L==0.01745raF=rl=0.008727r2a三角形F=bh/2P=1/2(a+b+c)F=弓形F=[rl-c（r-h）]c=2r=l=0.0174rah=r-α夹角梯形a=-bb=--a圆环F=π（R2-r2）=0.7854(D2-d2)正六角形F=2.598a2=2.598R2R=a=1.155r环式扇形F=（R2-r2）=0.008732(R2-r2)α—夹角

常用体积和表面积计算公式表名称简图计算公式名称简图计算公式表面积S，侧面积M体积V表面积S，侧面积M体积V正立方体S=6a2V=a3空心圆柱(管)M=内侧表面积+外侧表面积=2πh（r+r1）V=πh（r2-r12）长立方体S=2（ah+bh+ab）V=abh斜底截圆柱M=πr（h+h1）V=πr2圆柱M=2πrh=πdhV=πr2h=h球分S=（4h+c）V=πr2h=πr2×（r-）2、椭圆形封头（JB1154）（1）以内径为公称直径的椭圆形封头：图6图6标志举例：公称直径400mm，厚度4mm的椭圆形封头，其标记为：封头Dg400×4。图7图7的椭圆形封头：标志举例：公称直径400mm，厚度4mm的椭圆形封头，其标记为：封头Dg400×4。（3）以内径为公称直径的椭圆形封头的内表面积和容积：公称直径Dg曲面高度h1直边高度h2内表面积Fm2容积Vm3公称直径Dg曲面高度h1直边高度h2内表面积Fm2容积Vm3300（350）758825250.1210.1600.005300.00802(1500)3752540502.552.622.670.4870.5130.53040010025400.2040.2230.01150.013416004002540502.892.973.020.5870.6170.637(450)11225400.2540.2750.01580.0183(1700)4252540503.253.343.390.7000.7340.7575001252540500.3090.3330.3490.02130.02420.026218004502540503.643.733.780.8260.8660.889(550)1372540500.3700.3960.4130.02770.03130.0336(1900)47525404.054.140.9711.016001502540500.4360.4640.4830.03520.03960.042520005002540504.484.574.631.131.181.20(650)1622540500.5070.5380.5580.04420.04930.0526(2100)525405.031.367001752540500.5840.6170.6390.05450.06030.064222005502540505.405.505.571.491.541.588002002540500.7540.7920.8120.07960.08710.0921(2300)575406.001.769002252540500.9450.8801.020.1120.1210.12724006002540506.416.0526.601.932.002.0510002502540501.161.211.240.1510.1620.17026006502540507.507.637.712.432.512.56(1100)2752540501.401.451.490.1980.2120.222280070040508.828.913.123.1812003002540501.651.711.750.2550.2720.2833000750405010.110.23.823.89(1300)3252540501.931.992.030.3210.3410.3543200800405011.511.64.614.6914003502540502.232.292.330.3980.4210.436340036003800400085090095010005050505013.014.616.217.95.606.627.759.023、60°与90°无折边锥形封头（TH3010）内径为1000mm，厚度为6mm，圆锥角α分别为60°与90°的无折边锥形封头，其标记分别为：无折边锥形封头：60°Dg1000×6无折边锥形封头：90°Dg1000×6（1）碳钢和不锈钢制60°无折边锥形封头的尺寸、容积及重量：Dg=DH容积Vm3厚度S（括号内厚度只适用于不锈钢）4（5）6（7）8（9）10（11）12重量，kg3004005006007008009001000120014001600180020002200240026002800300026034643352060669377986610391212138615591732190520782252242525980.0060.0140.0280.0490.0780.1160.1650.2270.3920.6220.9291.3221.8142.4143.1343.9864.9776.1214.68.012.418.024.532.415.722.630.740.451.563.591.412315821118.927.337.048.462.075.510814819824430243.356.572.088.312617222428536142151061065577949.664.982.010114519725732642148658068478690070.890.6113163222290366462547652767885101599.2126182247323406504609724850985113113920027333544855467079793210821243218298388490605780870101511851355（2）碳钢和不锈钢制90°无折边锥形封头的尺寸、容积及重量：Dg=DH容积Vm3厚度S（括号内厚度只适用于不锈钢）4（5）6（7）8（9）10重量，kg300400500600700800900100012001400160018002000220024002600280030001502002503003504004505006007008009001000110012001300140015000.0040.0080.0160.0280.0450.0670.0950.1310.2260.3590.5360.7631.0471.3941.8102.3012.8743.5343.35.78.812.817.322.711.516.022.028.535.743.862.886.4110.0137.414.119.226.134.243.253.576.610413617321530.539.950.662.489.312115820124829735.045.658.071.4102138181230282346415480555629155220254332388463540624707430511600694850注：受内压无折边锥形封头适用于半锥角≤30°。当半锥角>30°时，锥体与筒体连接处应考虑另行加强，或采用折边锥形封头。4、60°与90°折边锥形封头（JB1155，JB1156）内径400mm，厚度4mm，圆锥角分别为60°及90°折边锥形封头，其标记分别为：60°折边锥形封头：Dg400×4，JB115590°折边锥形封头：Dg400×4，JB1155（1）60°及90°折边锥形封头的尺寸，内表面积与容积（mm）公称直径Dg锥体高度H圆弧半径r直边高度h内表面积F，m2容积V，m360°90°60°90°60°90°30027216945250.1810.1390.008790.00675（350）31719752.5250.2420.1840.01350.010040036222560250.3120.2360.01980.0145400.3310.2550.02170.0164（450）40825368250.3900.2950.02760.020250045328175250.4780.3590.03750.0272400.5020.3830.04030.0301（550）49830982250.5740.4300.04920.035660054433790250.6780.5080.06320.0455400.7070.5360.06740.0498(650)58936598250.7920.5920.07960.0572

（续表）公称直径Dg锥体高度H圆弧半径r直边高度h内表面积F，m2容积V，m360°90°60°90°60°90°700634393105250.9140.6820.09870.0707400.9480.7150.1040.07648007254501202510180.8820.1460.104401.220.9200.1530.111900815506135251.491.110.2050.146401.531.150.2140.1551000906562150251.831.360.280.198401.881.410.2910.209(1100)997618165252.211.640.370.261402.261.690.3840.27512001087675180252.621.940.4770.336402.681.990.4940.353(1300)1178731195253.072.270.6040.424403.132.330.6240.44414001269787210253.552.620.7510.527403.612.690.7740.550(1500)1359843225254.063.000.9210.645404.143.070.9480.67116001450899240254.623.401.110.779404.693.481.140.809(1700)1541956255255.203.831.330.931405.283.911.370.965180016311012270255.824.291.581.10405.914.371.621.14(1900)17221068285256.484.771.851.29406.574.861.901.33200018121124300257.175.282.161.50407.275.372.21.55220019941237330258.666.372.861.99408.776.472.922.052400217513493602510.37.563.702.574010.47.683.772.642600235614623902512.18.864.703.264012.28.984.783.342800253715744202514.010.35.874.064014.110.45.954.153000271916864502516.011.87.194.984016.211.97.305.09注：公称直径中带括号的表示不常用。5、容器设备的筒节尺寸及重量计算公称直径（内径）Dg，mm一米高的容积V，m3一米高的内表面积FB，m2壁厚S，mm一米高的钢板理论重量G，kg按平均直径展开的理论长度mm1234563000.0710.943456223037449529559589614000.1261.2634563040506012661270127312765000.1961.5734563750627515801584158715906000.2831.8834564560759018941898190119047000.3852.204568698710514022122215221822248000.5032.524568799911915925262529253225389000.6362.83456889112134179284028432846285210000.7853.1456810124149199249315831613167317312001.1313.7756810149178238298378637893795380114001.5394.40568101732082783484414441744234429

（续表）公称直径（内径）Dg，mm一米高的容积V，m3一米高的内表面积FB，m2壁厚S，mm一米高的钢板理论重量G，kg按平均直径展开的理论长度mm16002.0175.0356810198238317397504350465052505818002.5455.66681012267356446536567456805686569320003.1426.2868101229639749559663026309631563226、盆头设备计算表计算公式：盆底容积=0.1338D3盆底面积=1.0748D2设备直径D设备尺寸，mm底容积L设备全容积L设备高度H1，mm设备重量H1：D=1.30（包括夹套）保温层体积L价格rHhLH1：D值H1：D值=1.3夹套（包括夹套）但不包括搅拌附件1.151.251.301.151.251.30保温厚度50mm75mm123456789101112131415161740060.090.425115.48.5645.860634605005200.1726010045067.5101.825126.812.278.284885175615850.21757512050075.0113.025138.016.71081171205756256500.2699014055082.5124.325149.322.31441561606326877150.32510517060090.0135.525160.528.91872032106907507800.38612019065097.5147.025172.036.82342542657478128450.454150220700105.0158.025183.045.92953223358058759100.526160250750112.5169.525194.556.53633964108629379750.602180280800120.0180.925205.968.6441486500920100010400.688200320850121.5192.125217.182.3522570600977106211050.777230250900135.0203.525228.597.66236807101035112511700.870250400950142.5214.525239.61157368008301092118812350.9702804301000150.0226.025251.0133.88639409701150125013001.07530047010501561208131213651.1853405201100165.0248.540288.51781139124012901265137514301.30036056011502041321143814951.4214006001200180.0271.040311.02321487161016921380150015601.55043066012502671438156216251.6804707001300195.0294.040334.02951896203020451495162516901.82050077013503291555168817551.9605408301400210.0316.540356.53682350257026781610175018202.1158090014504081668181218852.266209601500225.0339.040379.04512900308033101725187519502.42660103015504981783193820152.5870011001600240.0361.540401.55483460387040201840200020802.75750117016506031898206121452.92580012401700255.0384.040424.06564180456041301955212522103.11850132017507182012219022753.2990014001800270.0406.540446.57834990546057002070225023403.49960148018508472130231024083.68101015501900285.0429.040469.09175900641066402185237524703.891070164019509942240243525354.09113017302000300.0452.040462.010706840752078002300250026004.30119018207、球底设备计算表计算公式：球底容积=0.26179×D3球底面积=1.57×D2周长=3.14×D截面积=0.785×D2设备直径设备半径球底容积设备全容积设备高度H，mm球底面积设备总重价格保温层体积，LDmmrmmm3LH:D值H1:D值m2kg元=1.3时，夹套50mm1.151.251.301.151.251.30保温层厚度50701234567891011121314154002000.0167516.7549.254.056.54605005200.25155924502250.0238123.870.077.0806.05175625850.317691105002500.032732.796.4105109.95756256500.392831295502750.043543.5128141147.66326877150.475971576003000.056656.5168185193.66907507800.5651111757003500.089889.8264291304.58058759100.7701482317503750.1105110.5325357363.78629379750.8831662588004000.1370137.0397437457920100010401.051852958504250.1620162.0475524548.3977106211051.1352123239004500.1910191.0562620648.51035112511701.2722313709504750.225225.06807297621092118812351.41825939710005000.2622627718498881150125013001.5727743510505250.335335925101010561208131213651.7331448011005500.3482348.21027113211841265137514301.9033251711505750.3983981173129513541321143814952.0836955412006000.4524521333146015271380150015602.2639760912506250.5105101500156016371438156216252.4643464613006500.5745441690175918551495162516902.6646171013506750.6446441880209021861555168817552.86498766

（续表）设备直径设备半径球底容积设备全容积设备高度H，mm球底面积设备总重价格保温层体积，LDmmrmmm3LH:D值H1:D值m2kg元=1.3时，夹套50mm1.151.251.301.151.251.30保温层厚度507014007000.7177172010233024371610175018203.0853583014507250.7997992350259027101668181218853.3057288615007500.8858852500287030031725187519503.5460995015507750.9749742860317033151783193820153.77646101516008001.07310733160348036411840200020804.02692108016508251.17811783450382040001898206121454.27738114517008501.28112813770415043421955212522104.54785122017508751.40014004140456047702012219022754.80830129018009001.52515254500496051892070225023405.10885136518509251.65616564890538056432130231024085.38930143019009501.79217925290581060922185237524705.689861510200010002.09520956170680071152300250026006.28110016808、锥形底设备计算表h为折边高度，壁厚S=3～8mmh=25mm壁厚S=10～12mmh=40mm设备直径D筒容积折边半径rα=30°α=45°α=60°保温体积，L设备总重价格mmLmmH值mm底面积m2底容积LH值mm底面积m2底容积LH值mm底面积m2底容积L50mm70mmkg元1234567891011121314151640050.2403610.2515.72200.194102110.1879.72589645071.4454060.3222.32480.246152370.23713.87211550098.1504500.3930.62760.303202630.29218.987135550130554950.4839.93020.366272900.35425.2100165600170605400.4753.03290.437353160.42032.8115180700269706290.7784.03840.593553690.57252.1155240750331756750.891054110.674683950.65763.8170270800401807201.011274390.775824210.74577.4190310850482857651.141504660.875994480.84393.3220340900572908091.281804930.9801174740.9