Superimposed Load given Unit Pressure Calculator

✖Unit pressure developed at any point in the fill at a depth of H below the surface.ⓘ Unit Pressure [P_t]			+10% -10%
✖Slant Height is the height of a cone from the vertex to the periphery (rather than the center) of the base.ⓘ Slant Height [h_Slant]			+10% -10%
✖Distance between pipe and fill is the distance between the upper part of pipe to lower end of fill.ⓘ Distance between pipe and fill [H]			+10% -10%

✖Superimposed load is the live load which is imposed on a structure.ⓘ Superimposed Load given Unit Pressure [P]

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Formula

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Superimposed Load given Unit Pressure

Formula

`"P" = (2*pi*"P"_{"t"}*("h"_{"Slant"})^5)/(3*("H")^3)`

Example

`"9.424778N"=(2*pi*"16Pa"*("1.5m")^5)/(3*("3m")^3)`

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Superimposed Load given Unit Pressure Solution

STEP 0: Pre-Calculation Summary

Formula Used

Superimposed load = (2*pi*Unit Pressure*(Slant Height)^5)/(3*(Distance between pipe and fill)^3)
P = (2*pi*P_t*(h_Slant)^5)/(3*(H)^3)
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Superimposed load - (Measured in Newton) - Superimposed load is the live load which is imposed on a structure.
Unit Pressure - (Measured in Pascal) - Unit pressure developed at any point in the fill at a depth of H below the surface.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Unit Pressure: 16 Pascal --> 16 Pascal No Conversion Required
Slant Height: 1.5 Meter --> 1.5 Meter No Conversion Required
Distance between pipe and fill: 3 Meter --> 3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = (2*pi*P_t*(h_Slant)^5)/(3*(H)^3) --> (2*pi*16*(1.5)^5)/(3*(3)^3)

Evaluating ... ...

P = 9.42477796076938

STEP 3: Convert Result to Output's Unit

9.42477796076938 Newton --> No Conversion Required

FINAL ANSWER

9.42477796076938 ≈ 9.424778 Newton <-- Superimposed load

(Calculation completed in 00.004 seconds)

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Credits

Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2200+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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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

Superimposed Load given Unit Pressure Formula

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

What is superimposed load ?

The load superimposed on the dead load of a building. The term is generally synonymous with live load, although a distinction is sometimes made between the superimposed dead load caused by movable partitions, etc., and the live load caused by people.

How to Calculate Superimposed Load given Unit Pressure?

Superimposed Load given Unit Pressure calculator uses Superimposed load = (2*pi*Unit Pressure*(Slant Height)^5)/(3*(Distance between pipe and fill)^3) to calculate the Superimposed load, The Superimposed Load given Unit Pressure is defined as the live load which is imposed on a structure. Superimposed load is denoted by P symbol.

How to calculate Superimposed Load given Unit Pressure using this online calculator? To use this online calculator for Superimposed Load given Unit Pressure, enter Unit Pressure (P_t), Slant Height (h_Slant) & Distance between pipe and fill (H) and hit the calculate button. Here is how the Superimposed Load given Unit Pressure calculation can be explained with given input values -> 9.424778 = (2*pi*16*(1.5)^5)/(3*(3)^3).

FAQ

What is Superimposed Load given Unit Pressure?

The Superimposed Load given Unit Pressure is defined as the live load which is imposed on a structure and is represented as P = (2*pi*P_t*(h_Slant)^5)/(3*(H)^3) or Superimposed load = (2*pi*Unit Pressure*(Slant Height)^5)/(3*(Distance between pipe and fill)^3). Unit pressure developed at any point in the fill at a depth of H below the surface, Slant Height is the height of a cone from the vertex to the periphery (rather than the center) of the base & Distance between pipe and fill is the distance between the upper part of pipe to lower end of fill.

How to calculate Superimposed Load given Unit Pressure?

The Superimposed Load given Unit Pressure is defined as the live load which is imposed on a structure is calculated using Superimposed load = (2*pi*Unit Pressure*(Slant Height)^5)/(3*(Distance between pipe and fill)^3). To calculate Superimposed Load given Unit Pressure, you need Unit Pressure (P_t), Slant Height (h_Slant) & Distance between pipe and fill (H). With our tool, you need to enter the respective value for Unit Pressure, Slant Height & Distance between pipe and fill 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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