Pipe Bends and Thrust Block Forces
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Pipe bends and thrust blocks forces on anchors due to fluid velocity and internal pressure online resulting force calculator
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The calculator below can used to calculate resulting force in piping bends:
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Metric
Imperial
1000
ρ - density of fluid (kg/m3)
1
SG - specific gravity of fluid
0.102
d - int. diam. pipe or bend (m)
4.03
d - int. diam. pipe or bend (inches)
20
v - velocity of fluid (m/s)
66.7
v - velocity of fluid (ft/s)
o
C
o
F
Convert ! Length
expansion joints of stainless/carbon steel, rubber, fabric, exhaust gas plants www.hks-hro.de
o
45
β - turning angle of bend ( )
45
β - turning angle of bend (o)
100
p - gauge pressure (kPa)
14.5
p - gauge pressure (psi)
Calculate forces !
Reset!
Calculate forces !
Reset!
The resulting force on a thrust block or anchor depends on the fluid mass flow and flow velocity and the pressure in the bend.
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Resulting force due to Mass flow and Flow Velocity The resulting force in x-direction due to mass flow and flow velocity can be expressed as: Rx = m v (1 - cosβ)
0
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= ρ A v2 (1 - cosβ) 2
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(1)
E&P (Hart's E&P)
(1b)
2
= ρ π (d / 2) v (1 - cosβ)
(1c)
where Rx = resulting force in x-direction (N) m = mass flow (kg/s)
1
Hydrocarbon Processing
v = flow velocity (m/s) m km
β = turning bend angle (degrees)
in
ρ = fluid density (kg/m3)
ft yards miles nautical miles
Convert ! Volume
d = internal pipe or bend diameter (m) π = 3.14... The resulting force in y-direction due to mass flow and flow velocity can be expressed as: Ry = m v sinβ = ρ A v2 sinβ 2
(2b) 2
= ρ π (d / 2) v sinβ
1 m
3
liters
Industrial Laser Solutions for Manufacturing
(2)
(2c)
Ry = resulting force in y direction (N) The resulting force on the bend due to force in x- and y-direction can be expressed as:
in3
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25/05/2011
Pipe Bends and Thrust Block Forces
ft 3
R = (Rx2 + Ry2)1/2
us gal
where
Convert !
(3)
R = resulting force on the bend (N)
Velocity
Example - Resulting force on a bend due to mass flow and flow velocity
1
The resulting force on a 45o bend with m/s km/h ft/min ft/s mph knots
Convert ! Pressure
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• diameter 114 mm = 0.114 m • water with density 1000 kg/m3 • flow velocity 20 m/s can be calculated by as Resulting force in x-direction: Rx = (1000 kg/m3) π ((0.114 m) / 2)2 (20 m/s)2 (1 - cos45) = 1196 (N) Resulting force in y-direction:
1 Pa (N/m2) bar
Ry = (1000 kg/m3) π ((0.114 m) / 2)2 (20 m/s)2 sin45 = 2887 (N)
mm H2O kg/cm2 psi
Resulting force on the bend R = ((1196 N)2 + (2887 N)2)1/2
inches H2O
= 3125 (N)
Convert ! Note - if β is 90o the resulting forces in x- and y-directions are the same. Flow
1
Resulting force due to Static Pressure The pressure and the end surfaces of the bend creates resulting forces in x- and y-directions.
m3/s m3/h US gpm cfm
Convert ! Unit Converter Scientific
The resulting force in x-direction can be expressed as Rpx = p A (1- cos β)
(4)
= p π (d / 2)2 (1- cos β)
(4b)
where Rpx = resulting force due to pressure in x-direction (N) p = gauge pressure inside pipe (Pa, N/m2) The resulting force in y-direction can be expressed as Rpy = p π (d / 2)2 sinβ
Calculator
Free Industry Magazines E&P (Hart's E&P)
(5)
where Rpy = resulting force due to pressure in y-direction (N) The resulting force on the bend due to force in x- and y-direction can be expressed as: Rp = (Rpx2 + Rpy2)1/2
(6)
where Rp = resulting force on the bend due to static pressure (N)
Example - Resulting force on a bend due to pressure Hydrocarbon Processing
The resulting force on a 45o bend with
• diameter 114 mm = 0.114 m • pressure 100 kPa can be calculated by as Resulting force in x-direction: Rx = (100 kPa) π ((0.114 m) / 2)2 (1 - cos45)
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= 299 (N) Resulting force in y-direction: Ry = (100 kPa) π ((0.114 m) / 2)2 sin45 = 722 (N) Resulting force on the bend R = ((299 N)2 + (722 N)2)1/2 = 781 (N) Sponsored Links
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Pipe Bends and Thrust Block Forces
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