Basic Calculation of Thrust Force and Torque for Gate Valve - WingsHome
Engineering Data Calculation Sheet-1 Rev.2
Basic Calculation of Thrust Force and Torque for Gate Valve
Please refer to C.Sheet-3 1. Seating and Un-seating Force
without Double-block & Bleed Valve.
Please refer to C.Sheet-4
(1) For Disc Area:
F1 = f tan( + ) f = P ? D2
4
f: Axial force to disc area against
flow direction under the pressure. l
P: Pressure
d 2
D: Inside diameter of the valve bore. :Friction angle.
=tan-1 :Coefficient of friction,
when seating ;
P
D
Active coefficient A, when un-seating; ;
Static coefficientS . AS
(2) For Stem Area:
F2
=
P?
d 2 4
d: Diameter of Stem
(3) For Gland Packing Area:
[ ] F3 = ( ? d ? l)? Pg ? ?0
l: Total length of Gland Packing Pg: Tightening Stress of Gland Packing 0: Coefficient of tighten friction factor for Gland Packing
Toatal Seating Force :
FS=F1+ F2 + F3 -WT
Toatal Un-seating Force: FUS=F1- F2 + F3 +WT
For intermadiate: Seating=F2+F3-WT, Un-seating= F3-F2+WT
WT: Total weight of Stem & Disc. (If, FSor FUS WT, WT may neglect)
- 1 -
Engineering Data Calculation Sheet-1 Rev.2
2. Seating and Un-seating Torque without Yoke Sleeve Friction*-1
(1) For Seating Torque:
TS
=
FS
d tan(
2
+
)
(2) For Un-seating Torque:
TUS
=
FUS
d tan(
2
+)
Rev.1
Note) If F3< F2, the un-seating and intermediate opening torque shall be "(-)".
where,
: Lead angle of the stem thread,
= tan -1 L 2r
L=nPT
L:Lead, 2r:Pitch diameter, n:Multi start thread no., PT:Pitch of the stem thread,
:Friction angle of the stem thread, Rev.2
=
tan
-1
cos ' 2
tan -1 ?t
t:Coefficient of the stem thread, ':Angle of the stem thread.
Remarks) *-1: Please refer to Calculation Sheet-3.
- 2 -
Engineering Data Calculation Sheet-2 Rev.2
Basic Calculation of Thrust Force and Torque for Globe Valve
(Turned Stem Type)
1. Seating Force (1)For Disc Area Rev.1
F1
= [
?
D2
?W
'
?
P
?
sin(
+
)
?
C]
+
P
?
? D2 4
2
where;
W': Wide of seating surface
= (D2 - D1 ) / 2 sin
l
d D2
P: Fluid Pressure 2: Angle of Disc : Friction Angle =tan-1 : Coefficient of Friction C: Seating Factor=3 (JPI Recommend)
P
2
W'
For intermediate,
F ' = P ? d
4
d: Stem Diameter
D1 If necessary, F1+F'
2. Seating Torque
(1) For Gland Packing Area
TG
=
(
?d
? l ? Pg
? ?0)?
d 2
where;
Pg: Tightning Stress of Gland Packing (specified by the packing maker)
0: Coefficient of Tightining Friction Factor for Gland Packing (specified by packing maker)
- 1 -
Engineering Data Calculation Sheet-2 Rev.2
(2) Stem Thread Rev.1
TS
=
(
F1
+
F
'
)
?
d 2
?
tan(
? )
where;
+: Seating
-: Un-seating
: Lead Angle of Stem Thread,
=
tan
-1
L 2r
L: Lead
2r: Pitch Diameter
: Friction Angle of Stem Thread, Rev.2.
=
tan
-1
cos ' 2
tan -1 ?t
t: Coefficient of Stem Thread ': Angle of Stem Thread
If intermediate, F' instead of F1.
(3) Total Seating Torque (or Un-seating Torque) T=TG+TS
- 2 -
Engineering Data Calculation Sheet-3 Rev.2
Basic Calculation of Thrust-Torque for Yoke Sleeve
1. Seating Torque
TYS
=
2 3
?
? 3
?
F
?
R'3 -r'3 R'2 -r'2
3 : Coefficient of friction (Yoke-to-Sleeve)
F : Seating Force
2. Un-seating Torque
TYUS
=
2 3
?
? 3
?
F
'?
R''3 -r''3 R''2 -r''2
F': Un-seating Force
- 1 -
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