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储罐浮盘(单盘)计算书 |
项目号 ITEM NO. |
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CALCULATION SHEET OF FLOATING ROOF
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文件号 DOC. NO. |
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本计算书是参照《圆柱形金属油罐设计》及《球罐和大型储罐》编制。 |
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This calculation sheet is prepared referring to 《DESIGN OF CYLINDRICAL TANKS》and 《SPHERICAL AND CYLINDRICAL TANKS》 |
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输入数据 Input Data |
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注： |
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储罐直径D
Tank ID |
= |
9000 |
cm |
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D1 |
= |
8940 |
cm |
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D2 |
= |
7740 |
cm |
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t1 |
= |
1 |
cm |
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t2 |
= |
0.45 |
cm |
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t3 |
= |
1 |
cm |
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t4 |
= |
0.6 |
cm |
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t |
= |
0.45 |
cm |
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浮船环舱个数The NO. of compartment in Pontoon |
m= |
52 |
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浮船环舱内、外边缘板倾斜高差
Tilt elevation difference of inside to outside plate |
g= |
32.5 |
cm |
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单盘安装高度 Installed height of deck plate |
C= |
32.5 |
cm |
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浮船环舱内边缘板高度 The height of Inside plate of pontoon |
b1= |
48.5 |
cm |
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浮船环舱顶板板宽The width of upper plate of pontoon |
b2= |
600 |
cm |
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浮船环舱外边缘板高度 The height of outside plate of pontoon |
b3= |
95 |
cm |
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浮船环舱底板板宽The width of lower plate of pontoon |
b4= |
600 |
cm |
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加强角钢的截面积sectional area of stiff ring |
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AL= |
146.2 |
cm2 |
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储液密度(ρ1<7X10-4kg/cm3采用实际值)
The specific gravity of calculated liquid (If ρ1<7X10-4Kg/cm3, ρ1 shall use actual value ) |
ρ1= |
7.00E-04 |
kg/cm3 |
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最大降雨量(外浮顶取25cm，内浮顶取0cm)
The max.rian fall height (FR is 25cm, internal FR is 0cm.) |
h0= |
25 |
cm |
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雨水密度The specific gravity of rain water |
ρ0= |
1.00E-03 |
kg/cm3 |
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浮船环舱及其附件质量
The weight of pontoon and attachment |
Q0= |
262000 |
kg |
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单盘及其附件质量The weight of deck plate and attachment |
Q1= |
260000 |
kg |
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单盘材料弹性模量The elasticity modulus of deck plate |
E= |
2060000 |
kg/cm2 |
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浮盘屈服强度The yeild stress of pontoon material |
σs= |
2350.00 |
kg/cm2 |
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浮盘许用应力The allowance stress of pontoon material |
[σ]= |
1566.66 |
kg/cm2 |
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浮盘密度The specific gravity of steel |
ρ= |
7.85E-03 |
kg/cm3 |
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浮盘焊接形式 |
单面搭接焊 |
φ= |
0.450 |
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The type of weld for deck |
single-side overlap weld |
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设计计算 Checking the floating roof pontoon |
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| 1） |
按第一准则核算Check according to first rule |
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当单盘和任意两个相邻舱室同时破裂时浮船不沉没
The floating roof potoon don't submerge when the deck and two adjacent compartment are broken at the same time. |
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内侧板半径The radius of inner plate |
R2=D2/2= |
3870 |
cm |
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浮船环舱内外径比 The ratio of inner radius to outer radius of pontoon |
τ=D2/D1= |
0.8658 |
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浮船环舱宽度 The width of pontoon |
b=(D1-D2)/2= |
600 |
cm |
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浮船环舱底板倾角 The inclination angle of pontoon bottom plate |
α＝arctg(g/b)= |
3.1005 |
° |
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单盘单位面积重力 The weight per unit area of the deck plate |
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5.526E-03 |
kg/cm2 |
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浮船本身的沉没深度（当底板倾角α＝0时）The sinking depth of pontoon (when inclination angle α=0 and without the affection of deck) |
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23.81 |
cm |
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求单盘破裂使浮船下沉深度的增加量
The additional sinking depth after the deck plate broken |
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22.28 |
cm |
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每个环舱所对应的中心角The central angle of each compartment |
Φ=360/m= |
6.92 |
° |
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两个相邻环舱破漏后使浮船下沉影响系数 The factor of sinking depth when two adjacent compartment broken |
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0.1204 |
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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) |
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52.40 |
cm |
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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 |
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15.86 |
cm |
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校核下沉深度:下沉深度小于内、外边缘板的高度，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 inner and outer plate height, and have safty allowance △=5～10cm，The minimum of △ can't less than 5cm. |
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外边缘板的下沉深度 The min.height of outer plate |
[b3]1=T+Tα+△= |
73.26 |
cm |
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内边缘板的下沉深度 The min.height of inner plate |
[b1]1=T+Tα+△-g= |
40.76 |
cm |
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b3 |
≥ |
[b3]1 |
外边缘板高度合格,it is OK for outer plate height. |
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b1 |
≥ |
[b1]1 |
内边缘板高度合格,it is OK for inner plate height. |
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| 2） |
按第二准则核算 Check according to second rule |
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当浮船单盘上有h0cm降雨量的雨水积存时，浮船不沉没.
The potoon don't submerge when there are h0cm rain water on the deck . |
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浮船本身的沉没深度The sinking depth caused by pontoon |
T0= T0'+ Tα= |
39.669 |
cm |
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安装单盘以后，使浮船下沉深度的增加量 The additional sinking depth caused by deck plate |
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0.4271 |
cm |
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0.359039638 |
0.72508263 |
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浮船平均半径
The average radius of pontoon |
R3=D1(1+τ)/4= |
4170.000 |
cm |
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0.609478807 |
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浮船有效截面积 The effective section area of pontoon |
Ae=η1b1t1+η2b2t2+η3b3t3+
η4b4t4+AL= |
541.700 |
cm2 |
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其中Then |
η1,η3 |
= |
1 |
η2,η4 |
= |
0.4000 |
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无量纲参数 Factor λ |
λ=R3t/Ae= |
3.4641 |
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由λ查下表得check the table： |
K1= |
1.0355 |
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表1:圆薄膜边界条件影响系数K1，K2数值表TABLE 1:Circular membrane boundary conditions coefficient K1,K2 |
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8.5653E-03 |
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q1=0.521(1-τ2)ρ1= |
9.1335E-05 |
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645.26 |
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e=0.391X10-2K1(τD1)4/3 |
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单盘上的当量荷载The equivalent load on the deck plate |
q=q0-q1eq1/3 |
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q= |
8.565E-03 |
- |
0.0589353 |
q1/3 |
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解该三次方程calculate the root of formula |
q= |
1.630E-03 |
kg/cm2 |
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单盘中心挠度The deflection of deck center |
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75.9350 |
cm |
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当浮船单盘上有h0cm降雨量的雨水积存时，使浮船下沉深度的增加量T2
The additional sinking depth caused by h0cm rain water on deck plate |
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6.5411 |
cm |
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当浮船单盘上有h0cm降雨量的雨水积存时，浮顶的下沉量（吃水量）增加，这时储罐中的液体不能超越浮船的外边缘板的高度，且留有一定的安全裕量△=5～10cm，△最小不小于5cm。
When h0cm water on the deck plate, the pontoon sinking depth increased, but the liquid in tank can't overflow from pontoon outer plate, and have some safty allowance △=5～10cm, minimum △ shall be not less than 5cm. |
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外边缘板的下沉深度The sinking depth of pontoon outer plate |
[b3]2=T0+T2+△T1+△= |
51.6372 |
cm |
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b3
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>= |
[b3]2 |
外边缘板高度合格,The outer plate height is OK. |
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| 3） |
按第三准则核算Check according to third rule |
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正常操作条件下，单盘与储液之间不存在气相空间。
When the operation condition, there are no gas space between liquid level and deck plate. |
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计算单盘安装位置的下限Calculate the lowest of deck plate installation location |
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31.7749 |
cm |
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计算单盘安装位置的上限Calculate the highest of deck plate installation location |
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50.9864 |
cm |
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Cmin |
< |
C |
< |
Cmax |
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单盘的安装高度C满足要求,The installation location of deck plate is OK! |
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| 4) |
按第四准则核算 Check according to fourth rule |
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浮顶的强度和稳定性校核
Strength and buckling/stability check for floating roof |
| a. |
单盘的挠度和应力 The deflection and stress of deck plate |
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单盘当量厚度
Deck equivalent thickness |
te=PD/ρ |
0.704 |
cm |
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第一准则的单盘载荷(单盘破裂)The load of deck according to first rule(The deck is broken) |
q1=te(ρ-ρ1)= |
5.033E-03 |
kg/cm2 |
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第二准则的单盘载荷(h0cm雨水)The load of deck according to second rule(Rain water accumulated on deck) |
q2=q= |
1.630E-03 |
kg/cm2 |
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实际单盘载荷 The actual load on the deck plate |
q=max(q1,q2)= |
5.033E-03 |
kg/cm2 |
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Check table 1 and 2, for K2, K3: |
K2= |
0.1774 |
K3= |
0.3468 |
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表2:圆薄膜边界条件影响系数K3数值表TABLE 2:Circular membrane boundary conditions coefficient K3 |
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单盘边缘处的拉应力 The tensile stress on the edge of deck |
σr=K2(Eq2R22/t2)1/3= |
278.326011 |
kg/cm2 |
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单盘中心处的拉应力 The tensile stress on the center of deck |
σm=K3(Eq2R22/t2)1/3= |
543.9509 |
kg/cm2 |
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σm |
<= |
φ[σ] |
= |
704.9970 |
kg/cm2 |
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单盘中心处拉应力校核合格 The tensile stress on the center of deck is OK |
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| b. |
浮船的整体稳定性The overall stability of pontoon |
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浮船整体稳定性指浮船受到来自单盘的均匀的径向拉力作用下的稳定性，包括浮船在平面内的稳定和侧向稳定。浮船受力见右图.The overall stability of pontoon is that the stability under the equally radial force from deck plate. Pontoon stability in plane and in lateral will be checked. The force of pontoon shall see the right FIG. |
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Ox |
= |
300 |
cm |
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Oz |
= |
47.5 |
cm |
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Rc |
=D1/2-Ox= |
4170.00 |
cm |
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浮船截面对O1z轴的惯性矩The moment of inertia to axis O1z |
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Iz=η1b1t1(b-Ox)2+η3b3t3Ox2+ η2b23t2/12+η4b43t4/12= |
2.0475E+07 |
cm4 |
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环形浮舱在圆环平面内的临界失稳载荷Circular pontoon critical buckling load in the ring plane |
Pcr1=3EIz/Rc3= |
1745.0353 |
kg/cm |
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径向力Radial force |
Nr=σrt= |
125.2467 |
kg/cm |
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整体稳定系数stability coefficient |
n1= |
1.5 |
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Pcr1‘=n1Nr= |
187.870058 |
kg/cm |
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Pcr1 |
≥ |
Pcr1' |
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校核合格, It is safe! |
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浮船截面对O1x轴的惯性矩The moment of inertia to axis O1x |
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Ix=η1t1b13/12+η3t3b33/12+ η2t2b2(b3-Oz-btgα/2)2+η4t4b4(Oz-btgα/2)2= |
327048.677 |
cm4 |
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浮船界面对O1y轴的惯性矩The moment of inertia to axis O1y |
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1240324.03 |
cm4 |
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材料剪切模量
Material shear modulus |
G=E/(2(1+μ))= |
792307.692 |
kg/cm2 |
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侧向稳定系数Lateral stability coefficient |
n2= |
1.5 |
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环形浮舱在圆环侧向的临界失稳载荷Circular pontoon critical buckling load in the lateral plane |
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455.70 |
kg/cm |
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Pcr2‘=n2Nr= |
187.87 |
kg/cm |
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Pcr2 |
>= |
Pcr2' |
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校核合格, It is safe. |
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| c. |
浮船扭矩计算Pontoon torque calculation |
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单盘损坏时，浮船的浸没深度
The sinking depth of deck broken |
T0'+T1+Tα= |
61.95 |
cm |
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储罐有平均h0cm积雨时，浮船的下沉深度 The sinking depth of h0cm rian water |
T0+ΔT1+T2= |
46.64 |
cm |
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浮船α三角部分的浮力力臂 The arm of force for the α triangle of pontoon |
l=b/6= |
100.00 |
cm |
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储液给浮船单位长度上的浮力 The force per unit length |
V=(D1-D2)(g-Tα)ρ1/2= |
6.99 |
kg/cm |
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c.1 当单盘及两舱室损坏时The deck and two adjacent compartment are broken at the same time |
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浮船总浮力与浮船自重之差值在单位长度上的力
The difference between the total buoyancy of pontoon and pontoon weight per unit length |
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12.0269832 |
kg/cm |
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浮船扭矩Pontoon torque |
My1=│Nr(Oz-C)-Nz1(b-Ox)-Vl│= |
2428.26 |
kg |
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c.2 当罐顶有h0cm积水时 h0cm water on the deck |
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浮船总浮力与浮船自重之差值在单位长度上的力
The difference between the total buoyancy of pontoon and pontoon weight per unit length |
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3.1535 |
kg/cm |
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单盘载荷(h0cm雨水)The load of deck (Rain water accumulated on deck) |
q2= |
1.630E-03 |
kg/cm2 |
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单盘边缘处的拉应力 The tensile stress on the edge of deck |
σr2=K2(Eq22R22/t2)1/3= |
1.312E+02 |
kg/cm2 |
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径向力Radial force |
Nr2=σr2t= |
59.059 |
kg/cm |
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浮船扭矩Pontoon torque |
My2=│Nr2(Oz-C)-Nz2(b-Ox)-Vl│= |
759.041 |
kg/cm |
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15 |
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最大扭矩Max torque |
M=max(My1,My2)= |
2428.261 |
kg/cm |
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浮船离Y轴最大距离The Max. distance of pontoon to Y axis |
Zmax=max(Oz,b3-Oz)= |
47.500 |
cm |
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最大弯曲应力The max. bending stress |
σmax=MRcZmax/Ix= |
1470.661 |
kg/cm2 |
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σmax |
< |
[σ] |
浮船抗扭合格,it is OK . |
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| d. |
浮船有效截面积AL验算 |
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浮船有效截面积 The effective section area of pontoon |
Ae= |
541.700 |
cm2 |
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单盘边缘径向位移 the radial displacement of the deck edge |
 |
0.847 |
cm |
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单盘径向应变The radial strain of deck |
ε=Δ/Rc= |
2.030E-04 |
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εicr=3.62ti2/bi2 |
η1'=(εicr/ε)1/3 |
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ε1cr |
= |
0.001539 |
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η1' |
= |
1.964 |
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ε2cr |
= |
2.036E-06 |
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η2' |
= |
0.216 |
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ε3cr |
= |
0.0004011 |
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η3' |
= |
1.255 |
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ε4cr |
= |
3.62E-06 |
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η4' |
= |
0.261 |
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Ae'=η1'b1t1+η2'b2t2+η3'b3t3+η4'b4t4+Ae= |
512.948422 |
cm2 |
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(Ae'-Ae)/Ae |
= |
0.05308 |
<= |
0.1 |
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浮船有效截面积合格，It is OKI! |
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| e. |
船舱截面的承载能力The pontoon section stress check |
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e.1 船舱顶、底板强度校核 The stress of upper and lower plate of pontoon. |
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顶板承受的竖向载荷
Vertical load on upper plate |
q2= |
0.012 |
kg/cm2 |
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底板承受的竖向载荷
Vertical load on lower plate |
q4=ρ1(T+Ta)= |
0.04778 |
kg/cm2 |
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顶板径向拉力
Tensile stress of upper plate |
σr2=(Eq22(b/t2)2/24)1/3= |
280.090674 |
kg/cm2 |
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底板径向拉力
Tensile stress of lower plate |
σr4=(Eq42(b/t4)2/24)1/3= |
580.846484 |
kg/cm2 |
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σr2 |
<= |
[σ] |
合格, It is OK! |
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σr4 |
<= |
[σ] |
合格, It is OK! |
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e.2 船舱内外边缘板强度校核 The stength of inside and outside plate of pontoon. |
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e.2.1 膜应力Membrane stress |
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弹性边环有效截面积Effective cross-sectional area |
F=b1t1+b3t3+AL= |
289.7000 |
cm2 |
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浮船断面所受的压应力Compressive stress of pontoon section |
σN=nσrtR2/F= |
1673.1265 |
kg/cm2 |
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where n= |
1 |
σN |
> |
[σ] |
= |
1566.66 |
kg/cm2 |
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It is NOT OK! |
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e.2.2 弯曲应力Bending stress |
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单盘周边所受的垂直分力
The vertical load of deck plate |
Nz=D2q/4= |
9.74 |
kg/cm |
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弯矩Moment |
M=│Nr(Oz-C)-Nz(b-Ox)│= |
1043.02993 |
kg |
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M而引起的边缘板应力 |
σM=MRc(b3-Oz)/Ix= |
631.704596 |
kg/cm2 |
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(σN+σM)= |
2304.83 |
≤ |
σs |
= |
2350.00 |
kg/cm2 |
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合格, It is OK! |
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e.2.3 弯曲应力Bending stress |
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内边缘板的临界应力Inside plate critical stress |
σcr1=min(7.6X106X(t1/b1)2,σs)= |
2350 |
kg/cm2 |
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外边缘的临界应力Outside plate critical stress |
σcr3=min(7.6X106X(t3/b3)2,σs)= |
842.105263 |
kg/cm2 |
|
|
浮船断面所受的压应力小于临界应力
Compressive stress of pontoon section shall be less than critical stress |
|
|
σcr1 |
> |
σN |
合格,不需要加强筋,It is OK! |
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|
σcr3 |
<= |
σN |
外边缘板需要加加强筋,The ribs are required for the outside plate! |
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|
| 5) |
浮顶支柱 Check floating roof support leg |
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|
|
a) 支柱参数support leg parameter |
|
|
|
支柱类型 The type of support leg |
无缝钢管Seamless pipe |
|
|
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 |
|
|
长度系数，两端铰支Length coefficient, clamped-clamped on both ends |
μ= |
1.00 |
|
|
|
b) 浮舱支柱校核The checking of support leg of pontoon |
|
|
|
浮舱支柱的外径The pontoon support leg diameter |
do1= |
114.3 |
mm |
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|
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浮舱支柱的壁厚 The pontoon support leg thickness |
ts1= |
8.8 |
mm |
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|
浮舱支柱的最大高度 The max. height of pontoon support leg |
ls1= |
3600 |
mm |
|
|
浮舱单个支柱最大的载荷The max. load of pontoon support leg |
Fs1= |
3.90E+05 |
Pa |
|
|
|
|
浮舱单根支柱面积The area of sigle pontoon support leg |
A1=л(do1-ts1)ts1= |
2916.7 |
mm2 |
|
|
支柱内径Inside diameter of support leg |
di1=do1-2ts1 |
96.70 |
mm |
|
Es= |
2.06E+05 |
MPa |
|
|
回转半径Radius of gyration |
i1=sqrt(do12+di12)/4= |
37.43 |
mm |
|
a |
1 |
2 |
1 |
无缝钢管Seamless pipe |
|
长细比Slenderness ratio |
λ1=μls1/i1= |
96.18 |
|
|
a1 |
0.41 |
0.65 |
0.41 |
焊接钢管Weld pipe |
|
|
λ1√(fy/235)= |
96.18 |
|
|
a2 |
0.986 |
0.965 |
0.986 |
|
|
查GB50017表C-1得 Check the table C-1 of GB50017： |
φ1= |
0.667 |
|
|
a3 |
0.152 |
0.3 |
0.152 |
|
|
FS1/φ1A1= |
200.47 |
MPa, ≤ |
215.00 |
=f |
|
|
1.03E+00 |
0.562 |
|
|
立柱支柱合格，The support leg is OK! |
|
0.667 |
|
|
c) 单盘支柱校核The checking of support leg of deck plate |
|
|
|
单盘支柱的外径The deck support leg diameter |
do2= |
168.3 |
mm |
|
|
单盘支柱的壁厚 The deck support leg thickness |
ts2= |
8.8 |
mm |
|
|
单盘支柱的最大高度 The max. height of deck support leg |
ls2= |
3000 |
mm |
|
|
单盘单个支柱最大的载荷The max. load of deck support leg |
Fs2= |
5.00E+05 |
Pa |
|
|
单盘单根支柱面积The area of sigle deck support leg |
A2=л(do2-ts2)ts2= |
4409.5 |
mm2 |
|
|
支柱内径Inside diameter of support leg |
di2=do2-2ts2 |
150.70 |
mm |
|
|
回转半径Radius of gyration |
i2=sqrt(do22+di22)/4= |
56.48 |
mm |
|
|
长细比Slenderness ratio |
λ2=μls2/i2= |
53.12 |
|
|
|
|
|
|
|
λ2√(fy/235)= |
53.12 |
|
|
Es= |
2.06E+05 |
MPa |
|
|
查GB50017表C-1得 Check the table C-1 of GB50017： |
φ2= |
0.906 |
|
|
a |
1 |
2 |
1 |
无缝钢管Seamless pipe |
|
FS2/φ2A2= |
125.11 |
MPa, ≤ |
215.00 |
=f |
|
|
a1 |
0.41 |
0.65 |
0.41 |
焊接钢管Weld pipe |
|
立柱支柱合格，The support leg is OK! |
|
a2 |
0.986 |
0.965 |
0.986 |
|
|
|
a3 |
0.152 |
0.3 |
0.152 |
|
|
5.71E-01 |
0.866 |
|
|
0.906 |
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