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卡箍连接的计算 |
项目号 ITEM NO. |
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| Calculation of CLAMP CONNECTIONS |
文件号 DOC. NO. |
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The calculation according to ASME VIII I-2019 Mandatory Appendix 24. |
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| General condition |
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| Design Pressure |
P = |
1.03 |
Mpa |
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h=22 |
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hn=10 |
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T=17.5 |
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| Design Temperature |
t = |
65 |
℃ |
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| Hub material |
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A-182 F304 |
g0=6 |
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| Hub AMB allowable stress |
SAH =
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138 |
Mpa |
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A=415 |
| Hub operating allowable stress |
SOH =
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138 |
Mpa |
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g1=15 |
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| Clamp material |
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A-351 CF8 |
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N=312 |
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B=350 |
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G=371.5 |
| Clamp AMB allowable stress |
SAC =
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138 |
Mpa |
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Hub dimensions |
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C=φ8 |
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| Clamp operating allowable stress |
SOC =
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138 |
Mpa |
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| Clamp bolt material |
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A-193 B7 |
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| Clamp bolt AMB allowable stress |
Sa =
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172 |
Mpa |
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| Clamp bolt oper.allowable stress |
Sb =
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172 |
Mpa |
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Bc=245 |
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Lh=30 |
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A |
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| Hub dimensions |
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| Hub outside diameter |
A = |
415 |
mm |
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A |
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| Hub inside diameter |
B = |
350 |
mm |
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Co=455 |
Ci=390 |
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| Hub neck outside diameter |
N = |
312 |
mm |
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Clamp dimensions |
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| Hub shoulder thickness |
T = |
17.5 |
mm |
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| Hub neck length |
hn = |
10 |
mm |
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| Hub taper length |
h = |
22 |
mm |
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| Hub neck small end thickness |
g0 = |
6 |
mm |
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Cwi=19
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Cw=50 |
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| Hub neck intersection thickness |
g1 = |
15 |
mm |
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| Hub shoulder height |
g2 = |
17.5 |
mm |
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Ct=20 |
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2.5 |
0.480079 |
| Clamp shoulder angle |
φ = |
20 |
° |
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| Hub transition angle |
α = |
37 |
° |
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A-A |
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| Outside diameter of "O" ring |
G = |
371.5 |
mm |
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| Cross section diameter of "O" ring |
c = |
8 |
mm |
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| "O" ring setting stress |
y = |
0.5 |
Mpa |
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La=17.5 |
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| Clamp dimensions |
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| Bolt hole to connection center |
Bc = |
245 |
mm |
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| Clamp outside diameter |
Co = |
455 |
mm |
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Lw=50 |
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| Clamp inside diameter |
Ci = |
390 |
mm |
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| Clamp lug height |
Lh = |
30 |
mm |
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View "B" |
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| Clamp width |
Cw = |
50 |
mm |
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| Clamp inside width |
Cwi = |
19 |
mm |
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| Clamp effective thickness |
Ct = |
20 |
mm |
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| Bolt hole to attached point |
La = |
17.5 |
mm |
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| Clamp lug width |
Lw = |
50 |
mm |
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| Other notations |
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h0= |
45.83 |
mm |
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| Clamp friction angle |
μ = |
5 |
° |
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| Hub stress correction factor |
f = |
#NAME? |
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* Fig 2-7.6 (ASME VIII Div1) |
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| Clamp bolt size |
M = |
16 |
mm |
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| Clamp bolt section area |
AbL =
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300.7 |
mm2 |
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| Joint contact surface comp. load |
HP =
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0 |
N |
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* Self-energized gaskets |
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| Total hydrostatic end force |
H = |
0.785 G2 P |
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= |
111589.8 |
N |
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| Total axial gasket seating req. |
Hm = |
3.14 b G y |
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* b = c / 2 in this case |
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2333.02 |
kN |
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| Effective Clamp-hub reaction |
C = |
( A + Ci ) / 2 |
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| circle diameter |
= |
402.5 |
mm |
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| Hydro. end force on bore area |
HD =
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0.785 B2 P |
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= |
99047.375 |
N |
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| Radial distance from eff. Clamp |
hD =
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[ C - ( B + g1 ) ] / 2 |
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| hub reaction cir. to HD acts circle. |
= |
18.75 |
mm |
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| Diff. Between total eff. Axial preload and sum of total hydro. End force and |
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| total joint contact surface comp. |
HG =
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[ 1.571 W / tan ( φ + μ ) ]- ( H + HP ) |
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= |
-47421.58 |
N |
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| Radial distance from eff. Clamp |
hG =
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( C - G ) / 2 |
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| hub acts circle to HG acts circle |
= |
15.5 |
mm |
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| Diff. between total hydro. end |
HT =
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H - HD |
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| and hydro. end force on bore area |
= |
12542.43 |
N |
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| Radial distance from eff. Clamp |
hT =
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[ C - ( B + G ) / 2 ] / 2 |
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| hub acts circle to HT acts circle |
= |
20.875 |
mm |
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| Hub shoulder verage thickness |
h2 =
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T - ( g2 tan φ ) / 2 |
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= |
14.31526 |
mm |
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| Axial distance from hub face to |
ha = |
T2 g1 + h22 g2 |
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| hub shoulder ring centroid |
2 ( T g1 +h2 g2 ) |
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= |
7.9724122 |
mm |
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| Moment of inertia of hub shoulder |
Ih = |
g1 T3 + g2 h23 |
-(g2 h2 + g1 T ) ha2 |
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| relative to its neutral axis |
3 |
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= |
11302.384 |
mm4 |
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| Radial distance from the hub |
ga = |
T g12 + h2 g2 ( 2 g1 +g2 ) |
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| inside diameter B to the hub |
2 ( T g1 +h2 g2 ) |
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| shoulder ring centroid |
= |
15.435218 |
mm |
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| Effective clamp lip length |
lc = |
( Co - Ci )/2 - Ct |
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= |
12.5 |
mm |
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| Effective clamp lip moment arm |
lm =
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lc - ( C - Ci ) / 2 |
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= |
6.25 |
mm |
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| Effective clamp thickness |
Cg = |
Cwi + 2 lm tanφ |
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= |
23.549628 |
mm |
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| Total eff. clamp cross section area |
Ac = |
A1 + A2 + A3 |
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= |
1159.0297 |
mm2 |
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| Partial clamp area |
A1 = |
( Cw - 2 Ct ) Ct |
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= |
200 |
mm2 |
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| Partial clamp area |
A2 = |
1.571. Ct2 |
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= |
628.4 |
mm2 |
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| Partial clamp area |
A3 = |
( Cw - Cg ) lc |
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= |
330.62965 |
mm2 |
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| Clamp dimension to neutral axis |
X = |
[ ( Cw / 2 - Ct / 3 ) Ct2 -
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( Cw - Cg) |
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lc2 ] / Ac |
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2 |
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= |
4.5442306 |
mm |
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| Radial distance from bolt center to |
eb = |
Bc - ( Ci / 2 ) -lc -X |
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| the clamp cross section centroid |
= |
32.955769 |
mm |
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| Inertia moment of hub shoulder |
Ic = |
( A1 / 3 +A2 / 4 ) Ct2 + A3 lc2 / 3 -Ac X2 |
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| relative to its neutral axis |
= |
82792.962 |
mm4 |
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| Reaction moment at hub neck |
MH = |
M0/ { 1 + |
1.818 |
x [ T - ha + |
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3.305 Ih |
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]} |
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g12 ( B / 2 + ga ) |
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= |
1627979.1 |
N·m |
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* Operating condition |
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= |
2826496 |
N·m |
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* Assembly condition |
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| Clamp-hub taper angle |
Z = |
φ + μ |
= |
25 |
° |
* Assembly condition |
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φ - μ |
= |
15 |
° |
* Operating condition |
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| Reaction shear force at hub neck |
Q = |
1.818 MH / ( √B g1 ) |
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= |
40847.271 |
N |
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* Operating condition |
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= |
70918.999 |
N |
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* Assembly condition |
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| Bolt loads |
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| Operating condition |
Wm1 =
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0.637 ( H + HP ) tan ( φ - μ ) |
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= |
19046.554 |
N |
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| Gasket setting condition |
Wm2 =
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0.637 Hm tan ( φ + μ ) |
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= |
692.99554 |
N |
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| Assembly condition |
Wm3 =
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0.637 ( H + HP ) tan ( φ + μ ) |
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= |
33146.41 |
N |
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| Required bolt area |
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| Operating condition |
Am1 =
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Wm1 / 2 Sb |
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= |
55.367888 |
mm2 |
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| Gasket setting condition |
Am2 =
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Wm2 / 2 Sa |
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= |
2.0145219 |
mm2 |
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| Assembly condition |
Am3 =
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Wm3 / 2 Sa |
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= |
96.355843 |
mm2 |
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| Bolting total cross-sectional area |
AmL =
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96.355843 |
mm2 |
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* Max of Am1, Am2, Am3 |
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| Because AbL ≥ AmL, the connection bolt is adequate. |
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| Clamp connc. design bolt load |
W = |
Wm1 |
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* Operating condition |
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= |
19046.554 |
N |
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W = |
( AmL + AbL ) Sa |
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* Assembly condition |
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= |
68293.605 |
N |
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| Hub moment calculation |
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| Assembly condition |
M0 = |
0.785 W ( C - G ) |
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tan ( φ + μ ) |
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= |
3564009.4 |
N·mm |
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| Operating condition |
M0 =
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MD + MG + MT + MF + MP + MR |
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= |
2052765.3 |
N·mm |
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| Moment due to HD |
MD =
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HD hD |
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= |
1857138.3 |
N·mm |
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| Moment due to HG |
MG =
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HG hG |
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= |
-735034.5 |
N·mm |
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| Moment due to HT |
MT =
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HT hT |
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= |
261823.22 |
N·mm |
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| Offset moment |
MF =
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HD (g1 - g0 ) / 2 |
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= |
445713.19 |
N·mm |
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| Pressure moment |
MP =
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3.14 P B T ( T / 2 - ha ) |
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= |
15403.606 |
N·mm |
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| Radial clamp equilibriate moment |
MR =
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1.571 W { ha - T + [ ( C - N ) tanφ ] / 2 } |
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= |
207721.42 |
N·mm |
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| Hub and clamp stress calculation |
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| Hub longitudinal stress |
S1= f [ |
P B2
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+ |
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1.91 MH |
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] |
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4 g1 ( B +g1 ) |
g12 ( B + g1 ) |
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| Hub hoop stress |
S2=P ( |
N2 + B2 |
) |
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N2 - B2 |
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| Hub axial shear stress |
S3 = |
0.75 W |
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T ( B + 2 g1 ) tanZ |
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| Hub radial shear stress |
S4 = |
0.477 Q |
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g1 ( B + g1 ) |
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| Clamp longitudinal stress |
S5 = |
W |
[ |
1 |
+ |
3 ( Ct + 2 lm ) |
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] |
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2 C tanZ |
Ct |
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Ct2 |
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| Clamp tangential stress |
S6 = |
W |
[ |
1 |
+ |
│eb│ (Ct - X ) |
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] |
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2 |
Ac |
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Ic |
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| Clamp lip shear stress |
S7 = |
1.5 W |
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( Cw - Cg ) C tanZ |
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| Clamp lug bending stress |
S8 = |
3 W La / (Lw Lh2 ) |
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| Bearing stress |
S9 = |
W |
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( A - Ci ) C tanZ |
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| Stress judgement |
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Unit: Mpa |
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| Stress |
Operating con. |
Allowable stress |
Judge |
Assembly Con. |
Allowable stress |
Judge |
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| S1 |
#NAME? |
207 |
1.5SOH |
#NAME? |
#NAME? |
207 |
1.5SAH |
#NAME? |
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| S2 |
-9.0014 |
138 |
SOH |
ok |
-9.0014 |
138 |
SOH |
ok |
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| S3 |
8.0168 |
110.4 |
0.8SOH |
ok |
16.5176 |
110.4 |
0.8SAH |
ok |
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| S4 |
3.5587 |
110.4 |
0.8SOH |
ok |
6.1787 |
110.4 |
0.8SAH |
ok |
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| S5 |
25.9386 |
207 |
1.5SOC |
ok |
53.4428 |
207 |
1.5SAC |
ok |
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| S6 |
66.8055 |
207 |
1.5SOC |
ok |
239.5386 |
207 |
1.5SAC |
exceed |
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| S7 |
10.0152 |
110.4 |
0.8SOC |
ok |
20.6348 |
110.4 |
0.8SAC |
ok |
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| S8 |
22.2210 |
138 |
SOC |
ok |
79.6759 |
138 |
SAC |
ok |
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| S9 |
7.0641 |
220.8 |
1.6 x min (SOH,SOC) |
ok |
14.5546 |
220.8 |
1.6 x min (SAH,SAC) |
ok |
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210.0771 |
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29.46154 |
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