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Longitudinal stress developed in the pipe wall Solution

STEP 0: Pre-Calculation Summary
Formula Used
longitudinal_stress = (Pressure*Diameter of Pipe)/(4*Thickness of pipe)
σ2 = (P*D)/(4*t)
This formula uses 3 Variables
Variables Used
Pressure - Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed. (Measured in Pascal)
Diameter of Pipe - Diameter of Pipe is the length of the longest chord of the pipe in which the liquid is flowing. (Measured in Centimeter)
Thickness of pipe - Thickness of pipe is the smaller dimention of pipe . (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Pressure: 800 Pascal --> 800 Pascal No Conversion Required
Diameter of Pipe: 2 Centimeter --> 0.02 Meter (Check conversion here)
Thickness of pipe: 3 Meter --> 3 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
σ2 = (P*D)/(4*t) --> (800*0.02)/(4*3)
Evaluating ... ...
σ2 = 1.33333333333333
STEP 3: Convert Result to Output's Unit
1.33333333333333 Pascal -->1.33333333333333 Newton per Square Meter (Check conversion here)
FINAL ANSWER
1.33333333333333 Newton per Square Meter <-- Longitudinal Stress
(Calculation completed in 00.016 seconds)

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difference_in_liquid_level = (4*Coefficient of Friction/(2*[g]))*((Length of pipe 1*Velocity at point 1^2/Diameter of pipe 1)+(Length of pipe 2*Velocity at point 2^2/Diameter of pipe 2)+(Length of pipe 3*Velocity at 3^2/Diameter of pipe 3)) Go
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power_transmitted = (Density*[g]*pi*(Diameter of Pipe^2)*Flow Velocity/4000)*(Total Head at Entrance-(4*Coefficient of Friction*Length of Pipe*(Flow Velocity^2)/(Diameter of Pipe*2*[g]))) Go
Maximum area of obstruction in the pipe
maximum_area_of_obstruction = Cross sectional area of Pipe-((Cross sectional area of Pipe*Velocity of the fluid particle)/(Coefficient of contraction*Velocity of liquid vena contracta)) Go
Discharge in the equivalent pipe
discharge = sqrt((Loss of head*(pi^2)*2*(Diameter of Pipe^5)*[g])/(4*16*Coefficient of Friction*Length of Pipe)) Go
Coefficient of contraction for sudden contraction
coefficient_of_contraction = Velocity at section 2-2/(Velocity at section 2-2+sqrt(Loss of head sudden contraction*2*[g])) Go
Diameter of the equivalent pipe
diameter_of_pipe = ((4*16*(Discharge^2)*Coefficient of Friction*Length of Pipe)/((pi^2)*2*Loss of head*[g]))^(1/5) Go
Length of the equivalent pipe
length_of_pipe = (Loss of head*(pi^2)*2*(Diameter of Pipe^5)*[g])/(4*16*(Discharge^2)*Coefficient of Friction) Go
Area of the pipe for maximum power transmission through nozzle
area_of_pipe = Nozzle area at outlet*sqrt(8*Coefficient of Friction*Length of Pipe/Diameter of Pipe) Go
Power lost due to sudden enlargement
power = (Density of Fluid*[g]*Discharge*Loss of head sudden enlargement)/1000 Go
Diameter of nozzle for maximum power transmission through nozzle
diameter_of_nozzle = ((Diameter of Pipe^5)/(8*Coefficient of Friction*Length of Pipe))^0.25 Go

Longitudinal stress developed in the pipe wall Formula

longitudinal_stress = (Pressure*Diameter of Pipe)/(4*Thickness of pipe)
σ2 = (P*D)/(4*t)

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 the pipe wall?

Longitudinal stress developed in the pipe wall calculator uses longitudinal_stress = (Pressure*Diameter of Pipe)/(4*Thickness of pipe) to calculate the Longitudinal Stress, The Longitudinal stress developed in the 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 σ2 symbol.

How to calculate Longitudinal stress developed in the pipe wall using this online calculator? To use this online calculator for Longitudinal stress developed in the pipe wall, enter Pressure (P), Diameter of Pipe (D) & Thickness of pipe (t) and hit the calculate button. Here is how the Longitudinal stress developed in the pipe wall calculation can be explained with given input values -> 1.333333 = (800*0.02)/(4*3).

FAQ

What is Longitudinal stress developed in the pipe wall?
The Longitudinal stress developed in the 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 σ2 = (P*D)/(4*t) or longitudinal_stress = (Pressure*Diameter of Pipe)/(4*Thickness of pipe). Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed, Diameter of Pipe is the length of the longest chord of the pipe in which the liquid is flowing & Thickness of pipe is the smaller dimention of pipe .
How to calculate Longitudinal stress developed in the pipe wall?
The Longitudinal stress developed in the 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*Diameter of Pipe)/(4*Thickness of pipe). To calculate Longitudinal stress developed in the pipe wall, you need Pressure (P), Diameter of Pipe (D) & Thickness of pipe (t). With our tool, you need to enter the respective value for Pressure, Diameter of Pipe & Thickness of pipe and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Longitudinal Stress?
In this formula, Longitudinal Stress uses Pressure, Diameter of Pipe & Thickness of pipe. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • maximum_area_of_obstruction = Cross sectional area of Pipe-((Cross sectional area of Pipe*Velocity of the fluid particle)/(Coefficient of contraction*Velocity of liquid vena contracta))
  • discharge = sqrt((Loss of head*(pi^2)*2*(Diameter of Pipe^5)*[g])/(4*16*Coefficient of Friction*Length of Pipe))
  • diameter_of_pipe = ((4*16*(Discharge^2)*Coefficient of Friction*Length of Pipe)/((pi^2)*2*Loss of head*[g]))^(1/5)
  • length_of_pipe = (Loss of head*(pi^2)*2*(Diameter of Pipe^5)*[g])/(4*16*(Discharge^2)*Coefficient of Friction)
  • difference_in_liquid_level = (4*Coefficient of Friction/(2*[g]))*((Length of pipe 1*Velocity at point 1^2/Diameter of pipe 1)+(Length of pipe 2*Velocity at point 2^2/Diameter of pipe 2)+(Length of pipe 3*Velocity at 3^2/Diameter of pipe 3))
  • power = (Density of Fluid*[g]*Discharge*Loss of head sudden enlargement)/1000
  • coefficient_of_contraction = Velocity at section 2-2/(Velocity at section 2-2+sqrt(Loss of head sudden contraction*2*[g]))
  • power_transmitted = (Density*[g]*pi*(Diameter of Pipe^2)*Flow Velocity/4000)*(Total Head at Entrance-(4*Coefficient of Friction*Length of Pipe*(Flow Velocity^2)/(Diameter of Pipe*2*[g])))
  • diameter_of_nozzle = ((Diameter of Pipe^5)/(8*Coefficient of Friction*Length of Pipe))^0.25
  • area_of_pipe = Nozzle area at outlet*sqrt(8*Coefficient of Friction*Length of Pipe/Diameter of Pipe)
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