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玻璃钢立式储罐设计计算

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Selected 储罐, 浮盘.
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  • 浮盘
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储罐浮盘(双盘)计算书 项目号 ITEM NO.
CALCULATION SHEET OF FLOATING ROOF
文件号 DOC. NO.
本计算书是参照《球罐和大型储罐》编制。                                           
输入数据 Input Data
储罐直径D
Tank ID
= 80 m 1
D1 = 79.5 m
D2 = 70 m
D3 = 60.5 m
b1 = 0.85 m
b2 = 0.9 m
b3 = 0.95 m
t1 = 0.005 m
t2 = 0.006 m
t = 0.007 m
浮船边缘环舱个数The NO. of compartment in first ring Pontoon m= 42
浮顶质量 The weight of  floating roof Q= 585000 kg
储液密度(ρ<7X10-4kg/cm3采用实际值)
The density of  liquid for buoyancy calculation(If ρ
<7X10-4Kg/cm3, ρ1 shall use actual value )
ρ= 700.00  kg/m3
储液实际密度The actual density of storage liquid ρmax= 850.00  kg/m3
最大降雨量(外浮顶取0.25m,内浮顶取0m)                   
The max.rian fall(FR is 0.25m, internal FR is 0m.)
h0= 0.25 m
雨水密度The density of rain water ρ0= 1000.00  kg/m3
环形舱底板角度The angle of pontoon bottom plate a= 0.075 °
重力加速度Acceleration of gravity g= 9.8 m/s2
单盘材料弹性模量The elasticity modulus of deck plate E= 2100000 kg/cm2
浮盘屈服强度The yeild stress of pontoon material σs= 2.06E+03 kg/cm2
浮盘许用应力The allowance stress of pontoon material [σ]= 1.37E+08 Pa
泊松比Poisson ratio μ= 0.30 
浮盘密度The density of steel ρs= 7850.00  kg/cm3
设计计算 Calculation
1) 当浮顶有h0m雨水时抗沉性计算buoyancy check for h0m of rian fall
雨水的质量 The weight of rain fall G=πD2h0ρ0/4= 1256637.06 kg
浮顶沉入储液的深度The sinking depth of pontoon on calculation liquid Th0=4(Q+G)/πD12ρ= 0.5300  m
b3 ≥ 1.3Th0= 0.6890  m
外边缘板高度合格,it is OK for outer plate of phntoon.
2) 两个相邻边舱泄露时When two adjacent compartments are broken at the same time 1
τ= D2/D1= 0.8805 
每个环舱所对应的中心角The central angle of each compartment
φ= 360/m= 8.57  °
1 0.1832 
环形浮舱漂在储液上浮舱的浸液深度The sinking depth of pontoon in the calcuted liquid
T0=4Q/πD12ρ= 0.1684  m
环舱总下沉深度(当底板倾角α=0时)The total sinking depth of pontoon (when inclination angle α=0) T=T0/(1-α)= 0.206  m
环舱底板倾角α≠0引起的沉没增加量
The additional sinking depth caused by inclination angle α≠0 
T0a=D1tanα/6 0.0173  m
校核下沉深度:下沉深度小于边缘板的高度,且留有一定的安全裕量△=5~10cm,△最小不小于5cm。Check the sinking depth: The sinking depth less than the plate height, and have safty allowance △=5~10cm,The minimum of △ can't less than 5cm.
外边缘板的下沉深度 The sinking depth of outer plate [b2]1=T+T0α+△= 0.27  m
b2 ≥ [b2]1 外边缘板高度合格,it is OK for outer plate height.
3) 一个边缘舱和一个相邻的环舱漏损时When a outer compartment and adjacent ring pontoon are broken at the same time 1
R1= D1/2= 39.7500  m
R2= D2/2= 35.0000  m
R3= D3/2= 30.2500  m
环形浮舱漂在储液上浮舱的浸液深度
The sinking depth of pontoon in the calculated liquid
T0= 4Q/πD12ρ= 0.1684  m
1 0.041  m
1 0.00665593 0.04417 0.051 
一个边缘舱泄露时总的下沉深度The sinking depth caused by one punctured pontoon compartment T'=T0/(1-α)= 0.1774  m
环舱总下沉深度(当底板倾角α=0时)The total sinking depth of pontoon (when inclination angle α=0) T=T'+T1= 0.2185  m
环舱底板倾角α≠0引起的沉没增加量
The additional sinking depth caused by inclination angle α≠0 
T0a=D1tanα/6= 0.0173  m
校核下沉深度:下沉深度小于边缘板b1的高度,且留有一定的安全裕量△=5~10cm,△最小不小于5cm。Check the sinking depth: The sinking depth less than the plate b1 height, and have safty allowance △=5~10cm,The minimum of △ can't less than 5cm.
外边缘板的下沉深度 The sinking depth of outer plate [b1]2=T+T0α+△= 0.286  cm
b1 ≥ [b1]2 外边缘板高度合格,it is OK for outer plate height.
4) 浮顶顶板,底板计算厚度 Top plate and bottom plate strength calculation
1
顶板及其附件重量The weight of top plate and attachments Q1= 300000 kg 292500
底板及其附件重量The weight of bottom plate and attachments Q2= 250000 kg
加强肋的短边长The length of short side of ribs a= 1.5 m
加强肋的长边长The length of long side of ribs b= 1.5900  m
浮顶雨水最深处的水深Max. depth of rain fall on roof h1= 0.5900  m
h0m雨载及浮顶自重引起的下沉深度The sinking depth caused by h0 m rain and weight of floating roof h2=Th0+T0a 0.5474  m 0.5300 
顶板及附件的等效载荷The equivalent load caused by top plate&attachment qt=4Q1g/πD12= 592.2747  Pa
顶板上单位面积计算载荷 The load per unit area on the top plate q1=ρ0gh1+qt= 6374.2747  Pa
底板上单位面积计算载荷 The load per unit area on the bottom plate q2=ρgh2-ρsgt2= 3293.2516  Pa
查表5-12,Check the table 5-12
a/b Bx0 By0 λx λy
0.9434  0.0201  0.0171  -0.0555  -0.0530 
浮顶顶板The top plate of pontoon 浮顶底板The bottom plate of pontoon
Bx=Bx0+μBy0= 0.025236 By=By0+μBx0= 0.02313868
Mx1=Bxq1a2= 361.93823 N.m Mx2=Bxq2a2= 186.994396 N.m
My1=Byq1a2= 331.85767 N.m My2=Byq2a2= 171.453356 N.m
Mx1'=λxq1a2= -796.0146 N.m Mx2'=λxq2a2= -411.25877 N.m
My1'=λyq1a2= -759.7264 N.m My2'=λyq2a2= -392.51054 N.m
Mmax1=max(Mx1,My1,Mx1',My1')= 796.01462 N.m Mmax2=max(Mx2,My2,Mx2',My2')= 411.258769 N.m
[t1]=sqrt(6Mmax1/[σ])= 0.0059044 m [t2]=sqrt(6Mmax2/[σ])= 0.00424398 m
t1
< [t1] 顶板厚度不合格,The top plate thickness is NOT OK.
t2
≥ [t2] 底板厚度合格,The bottom plate thickness is OK.
5) 加强梁计算The calculation of ribs
顶板加强梁的抗弯模量The area of ribs  for top plate of roof W1= 6.83E-06 m2 加强肋的面积 At= 1 m2
底板加强梁的抗弯模量Flexural Modulus of ribs for bottom plate of roof W2= 9.9200E-06 m3 加强肋的面积 At= 1 m2
加强梁的长度The length of ribs c= 1.5900  m
加强梁许用应力Allowance stress of ribs [σ]= 1.3700E+08 Pa 加强肋形心的与顶板距离 d1= 0.0500  m
顶板梁The ribs on the top plate 底板梁The ribs on the bottom plate 加强肋形心的与底板距离 d2= 0.0500  m
q1'=q1a= 9561.4121 N/m q2'=q2a= 4939.87734 N/m
M1=q1'c2/12= 2014.3505 N.m M2=q2'c2/12= 1040.70866 N.m
σ1=M1/W1= 2.95E+08 Pa σ2=M2/W2= 1.05E+08 Pa 有效宽度W1=min(40t1,a)= 0.2 m 有效宽度W2=min(40t2,a)=
σ1 > [σ] σ2 ≤ [σ] y1=(t12w1/2+At(t1+d1))/(t1w1+At)=
加强梁抗弯强度不合格,The ribs are NOT SAFE! 0.0549476 m
6) 浮顶支柱 Check floating roof supportleg m4
无缝钢管Seamless pipe 支柱的外径The support diameter do= 114.3 mm 支撑的个数 The NO. of supports ns= 30
支柱的壁厚(扣除腐蚀余量) The support thickness(without CA) ts= 8.8 mm 支撑附加均布载荷 The additional uniform load of support ps= 1200 Pa
支柱的最大高度 The max. height of support leg ls= 3600 mm 每个支撑均布载荷The average
load for each support
Fs=(Qg+лD2ps/4)/ns= 392161.93 N
单个支柱最大的载荷The max. load of support leg Fs= 3.90E+05 N
支柱屈服强度The yeild stress of support leg fy= 235.00  MPa
支柱抗压强度 The compressive stress of support leg f= 215.00  MPa
单根支柱金属面积
The area of  support leg
A=л(do-ts)ts= 2916.7  mm2
支柱内径Inside diameter of support di=do-2ts 96.70  mm 支柱的弹性模量The elasticity modulus of support leg Es= 2.06E+05 MPa
两端铰支Length coefficient μ= 1.00  a 1 2 1 无缝钢管Seamless pipe
回转半径Radius of gyration i=sqrt(do2+di2)/4= 37.43  mm a1 0.41 0.65 0.41 焊接钢管Weld pipe
长细比Slenderness ratio λ=μl/i= 96.18  a2 0.986 0.965 0.986
λ√(fy/235)= 96.18  a3 0.152 0.3 0.152
查GB50017表C-1得 Check the table C-1 of GB50017: φ= 0.667  1.03E+00 0.562 
FS/φA= 200.47  MPa, ≤ 215.00  =f 0.667 
立柱支撑合格,The support leg is OK!
分隔线,下面部分不打印
7) 浮顶腹板计算The calculation of web plate
腹板的高度 h1=b3= 0.95 m
浮顶的高度 h= 0.683 m
腹板梁承载面积
The load area of web plate
A=π(D12-D22)/4m= 26.5586  m2
单位面积最大计算载The max load per unit area on the pontoon qmax'=max(q1,q2) 6374.2747  Pa
腹板梁上的受力The force on the web plate F=qmax'A= 169291.9  N
腹板长度The length of web plate l=(D1-D2)/2= 4.7500  m
腹板梁上均布载荷The uniform load on the web plate q=F/l= 35640.4  N/m
由腹板、浮顶顶板和底板组合的梁截面
The beam section compound by web plate, top plate and bottom plate of pontoon
1
t1 = 0.005 m
t2 = 0.006 m 0.00018
t = 0.007 m 0.00023
l1=40t1 = 0.2 m 0.00033
l2=40t2 = 0.24 m
h = 0.683 m
Ix=t(h-t1-t2)3/12+l1t13/12+(h-t1)2l1t1/2+l2t23/12+(h-t2)2l2t2/2= 7.3687E-04 m4
抗弯模量Section modulus Wx=Ix/(h/2)= 2.1577E-03 m3
最大计算弯矩 The max. moment Mmax=ql2/24= 3.3506E+04 N.m
梁的弯曲正应力The bending stress of beam  σ=Mmax/Wx= 1.5528E+07 Pa
σ <= [σ] 腹板应力合格,It is OK!
腹板梁上的最大剪应力The max. shear force on the beam Q=F/2= 84645.9473 N
剪切应力 The shear stress of beam τ=Q/ht= 17704653.3 Pa
τ <= 0.6[σ] 肋板剪应力合格,It is OK!
8) 浮顶腹板局部稳定性计算The local stability calculation of web plate 
(1). 当h1/t<=80, 不必计算肋板的局部稳定性。
When h1/t<=80, no need to calculate the local stability 
It is OK 1!
(2).当80<h1/t<=120
b/a = 1.06 a/t = 214.28571
局部稳定系数Local stability coefficient (check table 5-13) K2= 0.8440 
剪应力Shear stress τ=Q/h1t= 12728713.9 Pa
σ1=τ/0.67K2= 22509574 Pa
σ1 <= [σ] It is OK 2!
注:加强杆的距离不大于2h Note: Strengthen the distance of the rod is not greater than 2h
(3).当120<h1/t
h1/t= 135.714286
局部稳定系数Local stability coefficient (check table 5-14) K1= 1.1771 
1 σ2=Mmax/W*h1/h= 2.1598E+07 Pa
1 2.3751E+07 Pa
2.4550E+07 Pa
max(σ3,σ4) <= [σ] It is OK 3!
注:加强杆的距离不大于2h Note: Strengthen the distance of the rod is not greater than 2h
结论Conclusion: It is OK 1!
(1). 当h1/t<=80, 不必计算肋板的局部稳定性。
When h1/t<=80, no need to calculate the local stability 
储罐浮盘计算书
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