Total Concentrated Surface Load in Westergaard Equation Calculator

✖Vertical Stress at Point in Boussinesq Equation is the stress acting perpendicular to the surface.ⓘ Vertical Stress at Point in Boussinesq Equation [σ_z]			+10% -10%
✖Depth of Point is the vertical distance from the ground surface to a specific point of interest below the surface.ⓘ Depth of Point [z]			+10% -10%
✖Horizontal Distance is the straight-line distance measured horizontally between two points.ⓘ Horizontal Distance [r]			+10% -10%

✖Total Concentrated Surface Load in Westergaard Eq. is the load applied to a specific, localized area on the surface of the ground.ⓘ Total Concentrated Surface Load in Westergaard Equation [P_w]

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Total Concentrated Surface Load in Westergaard Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Concentrated Surface Load in Westergaard Eq. = (Vertical Stress at Point in Boussinesq Equation*pi*(Depth of Point)^2)/((1+2*(Horizontal Distance/Depth of Point)^2)^(3/2))
P_w = (σ_z*pi*(z)^2)/((1+2*(r/z)^2)^(3/2))
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Total Concentrated Surface Load in Westergaard Eq. - (Measured in Newton) - Total Concentrated Surface Load in Westergaard Eq. is the load applied to a specific, localized area on the surface of the ground.
Vertical Stress at Point in Boussinesq Equation - (Measured in Pascal) - Vertical Stress at Point in Boussinesq Equation is the stress acting perpendicular to the surface.
Depth of Point - (Measured in Meter) - Depth of Point is the vertical distance from the ground surface to a specific point of interest below the surface.
Horizontal Distance - (Measured in Meter) - Horizontal Distance is the straight-line distance measured horizontally between two points.

STEP 1: Convert Input(s) to Base Unit

Vertical Stress at Point in Boussinesq Equation: 1.17 Pascal --> 1.17 Pascal No Conversion Required
Depth of Point: 15 Meter --> 15 Meter No Conversion Required
Horizontal Distance: 25 Meter --> 25 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_w = (σ_z*pi*(z)^2)/((1+2*(r/z)^2)^(3/2)) --> (1.17*pi*(15)^2)/((1+2*(25/15)^2)^(3/2))

Evaluating ... ...

P_w = 49.2724320495602

STEP 3: Convert Result to Output's Unit

49.2724320495602 Newton --> No Conversion Required

FINAL ANSWER

49.2724320495602 ≈ 49.27243 Newton <-- Total Concentrated Surface Load in Westergaard Eq.

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< Vertical Pressure in Soils Calculators

Vertical Stress at Point in Boussinesq Equation

LaTeX Go Vertical Stress at Point in Boussinesq Equation = ((3*Total Concentrated Surface Load in Boussinesq Eq.)/(2*pi*(Depth of Point)^2))*((1+(Horizontal Distance/Depth of Point)^2)^(5/2))

Vertical Stress at Point in Westergaard Equation

LaTeX Go Vertical Stress at Point in Westergaard Equation = ((Total Concentrated Surface Load in Boussinesq Eq./(pi*(Depth of Point)^2))*(1+2*(Horizontal Distance/Depth of Point)^2)^(3/2))

Total Concentrated Surface Load in Boussinesq Equation

LaTeX Go Total Concentrated Surface Load in Boussinesq Eq. = (2*pi*Vertical Stress at Point in Boussinesq Equation*(Depth of Point)^2)/(3*(1+(Horizontal Distance/Depth of Point)^2)^(5/2))

Total Concentrated Surface Load in Westergaard Equation

LaTeX Go Total Concentrated Surface Load in Westergaard Eq. = (Vertical Stress at Point in Boussinesq Equation*pi*(Depth of Point)^2)/((1+2*(Horizontal Distance/Depth of Point)^2)^(3/2))

Total Concentrated Surface Load in Westergaard Equation Formula

LaTeX Go

What is Concentrated Surface Load?

A force that is negligible because of a small contact area; a beam supported on a soil represents a concentrated load on the soil. A load that is applied to a relatively small area compared with the size of the loaded member.

How to Calculate Total Concentrated Surface Load in Westergaard Equation?

Total Concentrated Surface Load in Westergaard Equation calculator uses Total Concentrated Surface Load in Westergaard Eq. = (Vertical Stress at Point in Boussinesq Equation*pi*(Depth of Point)^2)/((1+2*(Horizontal Distance/Depth of Point)^2)^(3/2)) to calculate the Total Concentrated Surface Load in Westergaard Eq., The Total Concentrated Surface Load in Westergaard Equation formula is defined as the total force acting on the soil surface. Total Concentrated Surface Load in Westergaard Eq. is denoted by P_w symbol.

How to calculate Total Concentrated Surface Load in Westergaard Equation using this online calculator? To use this online calculator for Total Concentrated Surface Load in Westergaard Equation, enter Vertical Stress at Point in Boussinesq Equation (σ_z), Depth of Point (z) & Horizontal Distance (r) and hit the calculate button. Here is how the Total Concentrated Surface Load in Westergaard Equation calculation can be explained with given input values -> 49.27243 = (1.17*pi*(15)^2)/((1+2*(25/15)^2)^(3/2)).

FAQ

What is Total Concentrated Surface Load in Westergaard Equation?

The Total Concentrated Surface Load in Westergaard Equation formula is defined as the total force acting on the soil surface and is represented as P_w = (σ_z*pi*(z)^2)/((1+2*(r/z)^2)^(3/2)) or Total Concentrated Surface Load in Westergaard Eq. = (Vertical Stress at Point in Boussinesq Equation*pi*(Depth of Point)^2)/((1+2*(Horizontal Distance/Depth of Point)^2)^(3/2)). Vertical Stress at Point in Boussinesq Equation is the stress acting perpendicular to the surface, Depth of Point is the vertical distance from the ground surface to a specific point of interest below the surface & Horizontal Distance is the straight-line distance measured horizontally between two points.

How to calculate Total Concentrated Surface Load in Westergaard Equation?

The Total Concentrated Surface Load in Westergaard Equation formula is defined as the total force acting on the soil surface is calculated using Total Concentrated Surface Load in Westergaard Eq. = (Vertical Stress at Point in Boussinesq Equation*pi*(Depth of Point)^2)/((1+2*(Horizontal Distance/Depth of Point)^2)^(3/2)). To calculate Total Concentrated Surface Load in Westergaard Equation, you need Vertical Stress at Point in Boussinesq Equation (σ_z), Depth of Point (z) & Horizontal Distance (r). With our tool, you need to enter the respective value for Vertical Stress at Point in Boussinesq Equation, Depth of Point & Horizontal Distance 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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