Unit Pressure Developed at any Point in Fill at Depth Solution

STEP 0: Pre-Calculation Summary
Formula Used
Unit Pressure = (3*(Distance between pipe and fill)^3*Superimposed load)/(2*pi*(Slant Height)^5)
Pt = (3*(H)^3*P)/(2*pi*(hSlant)^5)
This formula uses 1 Constants, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Unit Pressure - (Measured in Pascal) - Unit pressure developed at any point in the fill at a depth of H below the surface.
Distance between pipe and fill - (Measured in Meter) - Distance between pipe and fill is the distance between the upper part of pipe to lower end of fill.
Superimposed load - (Measured in Newton) - Superimposed load is the live load which is imposed on a structure.
Slant Height - (Measured in Meter) - Slant Height is the height of a cone from the vertex to the periphery (rather than the center) of the base.
STEP 1: Convert Input(s) to Base Unit
Distance between pipe and fill: 3 Meter --> 3 Meter No Conversion Required
Superimposed load: 10 Newton --> 10 Newton No Conversion Required
Slant Height: 1.5 Meter --> 1.5 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Pt = (3*(H)^3*P)/(2*pi*(hSlant)^5) --> (3*(3)^3*10)/(2*pi*(1.5)^5)
Evaluating ... ...
Pt = 16.9765272631355
STEP 3: Convert Result to Output's Unit
16.9765272631355 Pascal --> No Conversion Required
FINAL ANSWER
16.9765272631355 16.97653 Pascal <-- Unit Pressure
(Calculation completed in 00.004 seconds)

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Birsa Institute of Technology (BIT), Sindri
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16 Pressure Due to External Loads Calculators

Distance of Top of Pipe to below Surface of Fill given Unit Pressure
Go Distance between pipe and fill = ((Unit Pressure*2*pi*(Slant Height)^5)/(3*Superimposed load))^(1/3)
Slant Height of considered Point given Unit Pressure
Go Slant Height = ((3*Superimposed load*(Distance between pipe and fill)^3)/(2*pi*Unit Pressure))^(1/5)
Unit Pressure Developed at any Point in Fill at Depth
Go Unit Pressure = (3*(Distance between pipe and fill)^3*Superimposed load)/(2*pi*(Slant Height)^5)
Superimposed Load given Unit Pressure
Go Superimposed load = (2*pi*Unit Pressure*(Slant Height)^5)/(3*(Distance between pipe and fill)^3)
External Diameter of Pipe given Load Per Unit Length for Pipes
Go External diameter = sqrt(Load per unit Length/(Pipe coefficient*Specific Weight of Fill))
Pipe Coefficient given Load Per Unit Length for Pipes
Go Pipe coefficient = (Load per unit Length/(Specific Weight of Fill*(External diameter)^2))
Specific Weight of Fill Material given Load Per Unit Length for Pipes
Go Specific Weight of Fill = Load per unit Length/(Pipe coefficient*(External diameter)^2)
Load Per Unit Length for Pipes Resting on Undisturbed Ground on Cohesion Less Soil
Go Load per unit Length = Pipe coefficient*Specific Weight of Fill*(External diameter)^2
Coefficient of Thermal Expansion given Elongation in Pipes
Go Thermal Expansion Coefficient = Elongation/(Initial Length*Change in Temperature)
Coefficient of Expansion of Material given Stress in Pipe
Go Coefficient of Thermal Expansion = Stress/(Change in Temperature*Elastic Modulus)
Change in Temperature given Elongation in Pipes
Go Change in Temperature = Elongation/(Initial Length*Thermal Expansion Coefficient)
Change in Temperature given Stress in Pipe
Go Change in Temperature = Stress/(Coefficient of Thermal Expansion*Elastic Modulus)
Load Per Unit Length for Pipes given Compressive Stress
Go Load per unit Length = (Compressive Stress*Thickness)-Total Load per Unit Length
Compressive Stress Produced when Pipe is Empty
Go Compressive Stress = (Load per unit Length+Total Load per Unit Length)/Thickness
Thickness of Pipes given Compressive Stress
Go Thickness = (Total Load per Unit Length+Load per unit Length)/Compressive Stress
Elongation in Pipes given Change in Temperature
Go Elongation = Initial Length*Thermal Expansion Coefficient*Change in Temperature

Unit Pressure Developed at any Point in Fill at Depth Formula

Unit Pressure = (3*(Distance between pipe and fill)^3*Superimposed load)/(2*pi*(Slant Height)^5)
Pt = (3*(H)^3*P)/(2*pi*(hSlant)^5)

What is pressure ?

Pressure is defined as the physical force exerted on an object. The force applied is perpendicular to the surface of objects per unit area. The basic formula for pressure is (Force per unit area).

How to Calculate Unit Pressure Developed at any Point in Fill at Depth?

Unit Pressure Developed at any Point in Fill at Depth calculator uses Unit Pressure = (3*(Distance between pipe and fill)^3*Superimposed load)/(2*pi*(Slant Height)^5) to calculate the Unit Pressure, The Unit Pressure Developed at any Point in Fill at Depth calculates the unit pressure developed at any point when we have prior information of other parameters. Unit Pressure is denoted by Pt symbol.

How to calculate Unit Pressure Developed at any Point in Fill at Depth using this online calculator? To use this online calculator for Unit Pressure Developed at any Point in Fill at Depth, enter Distance between pipe and fill (H), Superimposed load (P) & Slant Height (hSlant) and hit the calculate button. Here is how the Unit Pressure Developed at any Point in Fill at Depth calculation can be explained with given input values -> 16.97653 = (3*(3)^3*10)/(2*pi*(1.5)^5).

FAQ

What is Unit Pressure Developed at any Point in Fill at Depth?
The Unit Pressure Developed at any Point in Fill at Depth calculates the unit pressure developed at any point when we have prior information of other parameters and is represented as Pt = (3*(H)^3*P)/(2*pi*(hSlant)^5) or Unit Pressure = (3*(Distance between pipe and fill)^3*Superimposed load)/(2*pi*(Slant Height)^5). Distance between pipe and fill is the distance between the upper part of pipe to lower end of fill, Superimposed load is the live load which is imposed on a structure & Slant Height is the height of a cone from the vertex to the periphery (rather than the center) of the base.
How to calculate Unit Pressure Developed at any Point in Fill at Depth?
The Unit Pressure Developed at any Point in Fill at Depth calculates the unit pressure developed at any point when we have prior information of other parameters is calculated using Unit Pressure = (3*(Distance between pipe and fill)^3*Superimposed load)/(2*pi*(Slant Height)^5). To calculate Unit Pressure Developed at any Point in Fill at Depth, you need Distance between pipe and fill (H), Superimposed load (P) & Slant Height (hSlant). With our tool, you need to enter the respective value for Distance between pipe and fill, Superimposed load & Slant Height 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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