Longitudinal Stress developed in Pipe wall Solution

STEP 0: Pre-Calculation Summary
Formula Used
Longitudinal Stress = (Pressure Rise at Valve*Diameter of Pipe)/(4*Thickness of Liquid Carrying Pipe)
σl = (p*D)/(4*tpipe)
This formula uses 4 Variables
Variables Used
Longitudinal Stress - (Measured in Pascal) - Longitudinal Stress is defined as the stress produced when a pipe is subjected to internal pressure.
Pressure Rise at Valve - (Measured in Pascal) - Pressure Rise at Valve is the increase in pressure in the liquid at the location of the valve.
Diameter of Pipe - (Measured in Meter) - Diameter of Pipe is the length of the longest chord of the pipe in which the liquid is flowing.
Thickness of Liquid Carrying Pipe - (Measured in Meter) - Thickness of Liquid Carrying Pipe is the wall thickness of the pipe through which the liquid is flowing.
STEP 1: Convert Input(s) to Base Unit
Pressure Rise at Valve: 17000000 Newton per Square Meter --> 17000000 Pascal (Check conversion here)
Diameter of Pipe: 0.12 Meter --> 0.12 Meter No Conversion Required
Thickness of Liquid Carrying Pipe: 0.015 Meter --> 0.015 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
σl = (p*D)/(4*tpipe) --> (17000000*0.12)/(4*0.015)
Evaluating ... ...
σl = 34000000
STEP 3: Convert Result to Output's Unit
34000000 Pascal -->34000000 Newton per Square Meter (Check conversion here)
FINAL ANSWER
34000000 3.4E+7 Newton per Square Meter <-- Longitudinal Stress
(Calculation completed in 00.004 seconds)

Credits

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17 Flow Regime Calculators

Velocity of Flow at Outlet of Nozzle
Go Flow Velocity through Pipe = sqrt(2*[g]*Head at Base of Nozzle/(1+(4*Coefficient of Friction of Pipe*Length of Pipe*(Nozzle Area at Outlet^2)/(Diameter of Pipe*(Cross Sectional Area of Pipe^2)))))
Velocity of Fluid for Head Loss due to Obstruction in Pipe
Go Flow Velocity through Pipe = (sqrt(Loss of Head Due to Obstruction in Pipe*2*[g]))/((Cross Sectional Area of Pipe/(Coefficient of Contraction in Pipe*(Cross Sectional Area of Pipe-Maximum Area of Obstruction)))-1)
Discharge in Equivalent Pipe
Go Discharge through Pipe = sqrt((Loss of Head in Equivalent Pipe*(pi^2)*2*(Diameter of Equivalent Pipe^5)*[g])/(4*16*Coefficient of Friction of Pipe*Length of Pipe))
Velocity of liquid at vena-contracta
Go Velocity of Liquid Vena Contracta = (Cross Sectional Area of Pipe*Flow Velocity through Pipe)/(Coefficient of Contraction in Pipe*(Cross Sectional Area of Pipe-Maximum Area of Obstruction))
Retarding force for gradual closure of valves
Go Retarding Force on Liquid in Pipe = Density of Fluid in Pipe*Cross Sectional Area of Pipe*Length of Pipe*Flow Velocity through Pipe/Time Required to Close Valve
Coefficient of contraction for sudden contraction
Go Coefficient of Contraction in Pipe = Velocity of Fluid at Section 2/(Velocity of Fluid at Section 2+sqrt(Loss of Head Sudden Contraction*2*[g]))
Time required to close Valve for Gradual Closure of Valves
Go Time Required to Close Valve = (Density of Fluid in Pipe*Length of Pipe*Flow Velocity through Pipe)/Intensity of Pressure of Wave
Velocity at section 2-2 for sudden contraction
Go Velocity of Fluid at Section 2 = (sqrt(Loss of Head Sudden Contraction*2*[g]))/((1/Coefficient of Contraction in Pipe)-1)
Velocity at section 1-1 for sudden enlargement
Go Velocity of Fluid at Section 1 = Velocity of Fluid at Section 2+sqrt(Loss of Head Sudden Enlargement*2*[g])
Velocity at section 2-2 for sudden enlargement
Go Velocity of Fluid at Section 2 = Velocity of Fluid at Section 1-sqrt(Loss of Head Sudden Enlargement*2*[g])
Velocity of Flow at outlet of Nozzle for Efficiency and Head
Go Flow Velocity through Pipe = sqrt(Efficiency for Nozzle*2*[g]*Head at Base of Nozzle)
Circumferential stress developed in pipe wall
Go Circumferential Stress = (Pressure Rise at Valve*Diameter of Pipe)/(2*Thickness of Liquid Carrying Pipe)
Longitudinal Stress developed in Pipe wall
Go Longitudinal Stress = (Pressure Rise at Valve*Diameter of Pipe)/(4*Thickness of Liquid Carrying Pipe)
Velocity of fluid in pipe for head loss at entrance of pipe
Go Velocity = sqrt((Head Loss at Pipe Entrance*2*[g])/0.5)
Velocity at Outlet for Head Loss at Exit of Pipe
Go Velocity = sqrt(Head Loss at Pipe Exit*2*[g])
Time taken by pressure wave to travel
Go Time Taken to Travel = 2*Length of Pipe/Velocity of Pressure Wave
Force required to accelerate water in pipe
Go Force = Mass of Water*Acceleration of Liquid

Longitudinal Stress developed in Pipe wall Formula

Longitudinal Stress = (Pressure Rise at Valve*Diameter of Pipe)/(4*Thickness of Liquid Carrying Pipe)
σl = (p*D)/(4*tpipe)

What is longitudinal stress in pipe?

Longitudinal stress is defined as the stress produced when a pipe is subjected to internal pressure. The direction of the longitudinal stress in a pipe is parallel to the longitudinal axis of its centerline axis, which means that the stress acts in the direction of the pipe's length.

What is mean by circumferential stress and longitudinal stress?

Circumferential stress is the stress acting along the circumferential direction, it is generally tensile in nature. Longitudinal stress is the stress which acts along the length and it is also tensile in nature whereas radial stress which acts in the direction of the radius is compressive in nature.

How to Calculate Longitudinal Stress developed in Pipe wall?

Longitudinal Stress developed in Pipe wall calculator uses Longitudinal Stress = (Pressure Rise at Valve*Diameter of Pipe)/(4*Thickness of Liquid Carrying Pipe) to calculate the Longitudinal Stress, The Longitudinal Stress developed in Pipe wall formula is defined as the ratio of pressure and diameter of the pipe to the thickness of the pipe. Longitudinal Stress is denoted by σl symbol.

How to calculate Longitudinal Stress developed in Pipe wall using this online calculator? To use this online calculator for Longitudinal Stress developed in Pipe wall, enter Pressure Rise at Valve (p), Diameter of Pipe (D) & Thickness of Liquid Carrying Pipe (tpipe) and hit the calculate button. Here is how the Longitudinal Stress developed in Pipe wall calculation can be explained with given input values -> 3.4E+7 = (17000000*0.12)/(4*0.015).

FAQ

What is Longitudinal Stress developed in Pipe wall?
The Longitudinal Stress developed in Pipe wall formula is defined as the ratio of pressure and diameter of the pipe to the thickness of the pipe and is represented as σl = (p*D)/(4*tpipe) or Longitudinal Stress = (Pressure Rise at Valve*Diameter of Pipe)/(4*Thickness of Liquid Carrying Pipe). Pressure Rise at Valve is the increase in pressure in the liquid at the location of the valve, Diameter of Pipe is the length of the longest chord of the pipe in which the liquid is flowing & Thickness of Liquid Carrying Pipe is the wall thickness of the pipe through which the liquid is flowing.
How to calculate Longitudinal Stress developed in Pipe wall?
The Longitudinal Stress developed in Pipe wall formula is defined as the ratio of pressure and diameter of the pipe to the thickness of the pipe is calculated using Longitudinal Stress = (Pressure Rise at Valve*Diameter of Pipe)/(4*Thickness of Liquid Carrying Pipe). To calculate Longitudinal Stress developed in Pipe wall, you need Pressure Rise at Valve (p), Diameter of Pipe (D) & Thickness of Liquid Carrying Pipe (tpipe). With our tool, you need to enter the respective value for Pressure Rise at Valve, Diameter of Pipe & Thickness of Liquid Carrying Pipe and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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