Total Concentrated Surface Load in Boussinesq Equation Solution

STEP 0: Pre-Calculation Summary
Formula Used
Total Concentrated Surface Load = (2*pi*Vertical Stress at Point*(Depth of Point)^2)/(3*(1+(Horizontal Distance/Depth of Point)^2)^(5/2))
P = (2*pi*σz*(z)^2)/(3*(1+(r/z)^2)^(5/2))
This formula uses 1 Constants, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Total Concentrated Surface Load - (Measured in Newton) - Total Concentrated Surface Load is the value of force applied on the surface.
Vertical Stress at Point - (Measured in Pascal) - Vertical Stress at Point is the stress acting perpendicular to the surface.
Depth of Point - (Measured in Meter) - Depth of Point at which stress acts, measured vertically downward from surface.
Horizontal Distance - (Measured in Meter) - Horizontal Distance from projection of surface load P to point at which stress is acting.
STEP 1: Convert Input(s) to Base Unit
Vertical Stress at Point: 1.2 Pascal --> 1.2 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 = (2*pi*σz*(z)^2)/(3*(1+(r/z)^2)^(5/2)) --> (2*pi*1.2*(15)^2)/(3*(1+(25/15)^2)^(5/2))
Evaluating ... ...
P = 20.3859689683226
STEP 3: Convert Result to Output's Unit
20.3859689683226 Newton --> No Conversion Required
FINAL ANSWER
20.3859689683226 20.38597 Newton <-- Total Concentrated Surface Load
(Calculation completed in 00.004 seconds)

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4 Vertical Pressure in Soils Calculators

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

Total Concentrated Surface Load in Boussinesq Equation Formula

Total Concentrated Surface Load = (2*pi*Vertical Stress at Point*(Depth of Point)^2)/(3*(1+(Horizontal Distance/Depth of Point)^2)^(5/2))
P = (2*pi*σz*(z)^2)/(3*(1+(r/z)^2)^(5/2))

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.It is a force applied at a single infinitesimal point at a set distance from the ends of the beam.

How to Calculate Total Concentrated Surface Load in Boussinesq Equation?

Total Concentrated Surface Load in Boussinesq Equation calculator uses Total Concentrated Surface Load = (2*pi*Vertical Stress at Point*(Depth of Point)^2)/(3*(1+(Horizontal Distance/Depth of Point)^2)^(5/2)) to calculate the Total Concentrated Surface Load, The Total Concentrated Surface Load in Boussinesq Equation formula is defined as the total force acting on the soil surface. Total Concentrated Surface Load is denoted by P symbol.

How to calculate Total Concentrated Surface Load in Boussinesq Equation using this online calculator? To use this online calculator for Total Concentrated Surface Load in Boussinesq Equation, enter Vertical Stress at Point z), Depth of Point (z) & Horizontal Distance (r) and hit the calculate button. Here is how the Total Concentrated Surface Load in Boussinesq Equation calculation can be explained with given input values -> 3.2E-5 = (2*pi*1.2*(15)^2)/(3*(1+(25/15)^2)^(5/2)).

FAQ

What is Total Concentrated Surface Load in Boussinesq Equation?
The Total Concentrated Surface Load in Boussinesq Equation formula is defined as the total force acting on the soil surface and is represented as P = (2*pi*σz*(z)^2)/(3*(1+(r/z)^2)^(5/2)) or Total Concentrated Surface Load = (2*pi*Vertical Stress at Point*(Depth of Point)^2)/(3*(1+(Horizontal Distance/Depth of Point)^2)^(5/2)). Vertical Stress at Point is the stress acting perpendicular to the surface, Depth of Point at which stress acts, measured vertically downward from surface & Horizontal Distance from projection of surface load P to point at which stress is acting.
How to calculate Total Concentrated Surface Load in Boussinesq Equation?
The Total Concentrated Surface Load in Boussinesq Equation formula is defined as the total force acting on the soil surface is calculated using Total Concentrated Surface Load = (2*pi*Vertical Stress at Point*(Depth of Point)^2)/(3*(1+(Horizontal Distance/Depth of Point)^2)^(5/2)). To calculate Total Concentrated Surface Load in Boussinesq Equation, you need Vertical Stress at Point z), Depth of Point (z) & Horizontal Distance (r). With our tool, you need to enter the respective value for Vertical Stress at Point, 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.
How many ways are there to calculate Total Concentrated Surface Load?
In this formula, Total Concentrated Surface Load uses Vertical Stress at Point, Depth of Point & Horizontal Distance. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Total Concentrated Surface Load = (Vertical Stress at Point*pi*(Depth of Point)^2)/((1+2*(Horizontal Distance/Depth of Point)^2)^(3/2))
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