Total Tension in Pipe with known Head of Water Solution

STEP 0: Pre-Calculation Summary
Formula Used
Total Tension of Pipe in MN = ((Unit Weight of Liquid*Head of the Liquid)*Cross-Sectional Area)+((Unit Weight of Liquid*Cross-Sectional Area*(Flow Velocity of Fluid)^2)/Acceleration due to Gravity in Environment)
Tmn = ((γw*H)*Acs)+((γw*Acs*(Vw)^2)/g)
This formula uses 6 Variables
Variables Used
Total Tension of Pipe in MN - (Measured in Newton) - Total Tension of Pipe in MN is defined as the force that tries to elongate a pipe.
Unit Weight of Liquid - (Measured in Newton per Cubic Meter) - Unit Weight of Liquid is the weight of water per unit volume of water.
Head of the Liquid - (Measured in Meter) - The Head of the Liquid is the height of a liquid column that corresponds to a particular pressure exerted by the liquid column from the base of its container.
Cross-Sectional Area - (Measured in Square Meter) - Cross-Sectional Area is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.
Flow Velocity of Fluid - (Measured in Meter per Second) - Flow Velocity of Fluid gives the velocity of an element of fluid at a position and time.
Acceleration due to Gravity in Environment - (Measured in Meter per Square Second) - Acceleration due to Gravity in Environment is the acceleration gained by an object due to gravitational force.
STEP 1: Convert Input(s) to Base Unit
Unit Weight of Liquid: 9810 Newton per Cubic Meter --> 9810 Newton per Cubic Meter No Conversion Required
Head of the Liquid: 15 Meter --> 15 Meter No Conversion Required
Cross-Sectional Area: 13 Square Meter --> 13 Square Meter No Conversion Required
Flow Velocity of Fluid: 13.47 Meter per Second --> 13.47 Meter per Second No Conversion Required
Acceleration due to Gravity in Environment: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Tmn = ((γw*H)*Acs)+((γw*Acs*(Vw)^2)/g) --> ((9810*15)*13)+((9810*13*(13.47)^2)/9.8)
Evaluating ... ...
Tmn = 4274088.56908163
STEP 3: Convert Result to Output's Unit
4274088.56908163 Newton -->4.27408856908163 Meganewton (Check conversion ​here)
FINAL ANSWER
4.27408856908163 4.274089 Meganewton <-- Total Tension of Pipe in MN
(Calculation completed in 00.020 seconds)

Credits

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Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
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Verified by Ishita Goyal
Meerut Institute of Engineering and Technology (MIET), Meerut
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Total Tension in Pipe with known Head of Water Formula

​LaTeX ​Go
Total Tension of Pipe in MN = ((Unit Weight of Liquid*Head of the Liquid)*Cross-Sectional Area)+((Unit Weight of Liquid*Cross-Sectional Area*(Flow Velocity of Fluid)^2)/Acceleration due to Gravity in Environment)
Tmn = ((γw*H)*Acs)+((γw*Acs*(Vw)^2)/g)

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Tensile stress can be defined as the magnitude of force applied along an elastic rod, which is divided by the cross-sectional area of the rod in a direction perpendicular to the applied force.

How to Calculate Total Tension in Pipe with known Head of Water?

Total Tension in Pipe with known Head of Water calculator uses Total Tension of Pipe in MN = ((Unit Weight of Liquid*Head of the Liquid)*Cross-Sectional Area)+((Unit Weight of Liquid*Cross-Sectional Area*(Flow Velocity of Fluid)^2)/Acceleration due to Gravity in Environment) to calculate the Total Tension of Pipe in MN, The Total Tension in Pipe with known Head of Water formula is defined as the value of the force that tries to elongate a pipe when we have prior information of head of water. Total Tension of Pipe in MN is denoted by Tmn symbol.

How to calculate Total Tension in Pipe with known Head of Water using this online calculator? To use this online calculator for Total Tension in Pipe with known Head of Water, enter Unit Weight of Liquid w), Head of the Liquid (H), Cross-Sectional Area (Acs), Flow Velocity of Fluid (Vw) & Acceleration due to Gravity in Environment (g) and hit the calculate button. Here is how the Total Tension in Pipe with known Head of Water calculation can be explained with given input values -> 0.021677 = ((9810*15)*13)+((9810*13*(13.47)^2)/9.8).

FAQ

What is Total Tension in Pipe with known Head of Water?
The Total Tension in Pipe with known Head of Water formula is defined as the value of the force that tries to elongate a pipe when we have prior information of head of water and is represented as Tmn = ((γw*H)*Acs)+((γw*Acs*(Vw)^2)/g) or Total Tension of Pipe in MN = ((Unit Weight of Liquid*Head of the Liquid)*Cross-Sectional Area)+((Unit Weight of Liquid*Cross-Sectional Area*(Flow Velocity of Fluid)^2)/Acceleration due to Gravity in Environment). Unit Weight of Liquid is the weight of water per unit volume of water, The Head of the Liquid is the height of a liquid column that corresponds to a particular pressure exerted by the liquid column from the base of its container, Cross-Sectional Area is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point, Flow Velocity of Fluid gives the velocity of an element of fluid at a position and time & Acceleration due to Gravity in Environment is the acceleration gained by an object due to gravitational force.
How to calculate Total Tension in Pipe with known Head of Water?
The Total Tension in Pipe with known Head of Water formula is defined as the value of the force that tries to elongate a pipe when we have prior information of head of water is calculated using Total Tension of Pipe in MN = ((Unit Weight of Liquid*Head of the Liquid)*Cross-Sectional Area)+((Unit Weight of Liquid*Cross-Sectional Area*(Flow Velocity of Fluid)^2)/Acceleration due to Gravity in Environment). To calculate Total Tension in Pipe with known Head of Water, you need Unit Weight of Liquid w), Head of the Liquid (H), Cross-Sectional Area (Acs), Flow Velocity of Fluid (Vw) & Acceleration due to Gravity in Environment (g). With our tool, you need to enter the respective value for Unit Weight of Liquid, Head of the Liquid, Cross-Sectional Area, Flow Velocity of Fluid & Acceleration due to Gravity in Environment 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 Total Tension of Pipe in MN?
In this formula, Total Tension of Pipe in MN uses Unit Weight of Liquid, Head of the Liquid, Cross-Sectional Area, Flow Velocity of Fluid & Acceleration due to Gravity in Environment. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Total Tension of Pipe in MN = (Water Pressure*Cross-Sectional Area)+((Unit Weight of Water in KN per Cubic Meter*Cross-Sectional Area*(Flow Velocity of Fluid)^2)/Acceleration due to Gravity in Environment)
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