Minimum Depth of Foundation given Intensity of Loading Solution

STEP 0: Pre-Calculation Summary
Formula Used
Minimum Depth of Foundation = Intensity of Loading in Kilopascal/((Unit Weight of Soil)*((1+sin((Angle of Shearing Resistance*pi)/180))/(1-sin((Angle of Shearing Resistance*pi)/180)))^2)
Dmin = q/((γ)*((1+sin((φ*pi)/180))/(1-sin((φ*pi)/180)))^2)
This formula uses 1 Constants, 1 Functions, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
Variables Used
Minimum Depth of Foundation - (Measured in Meter) - Minimum Depth of Foundation is around 5 feet for a small residential building from ground level or at least 1.50 times the width of footing.
Intensity of Loading in Kilopascal - (Measured in Pascal) - Intensity of Loading in Kilopascal is defined as the Intensity of Loading at the base of foundation, at which soil support fails in shear is called ultimate bearing capacity of soils in kilopascal.
Unit Weight of Soil - (Measured in Newton per Cubic Meter) - Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil.
Angle of Shearing Resistance - (Measured in Radian) - Angle of Shearing Resistance is known as a component of the shear strength of the soils which is basically frictional material and composed of individual particles.
STEP 1: Convert Input(s) to Base Unit
Intensity of Loading in Kilopascal: 90 Kilopascal --> 90000 Pascal (Check conversion here)
Unit Weight of Soil: 18 Kilonewton per Cubic Meter --> 18000 Newton per Cubic Meter (Check conversion here)
Angle of Shearing Resistance: 45 Degree --> 0.785398163397301 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Dmin = q/((γ)*((1+sin((φ*pi)/180))/(1-sin((φ*pi)/180)))^2) --> 90000/((18000)*((1+sin((0.785398163397301*pi)/180))/(1-sin((0.785398163397301*pi)/180)))^2)
Evaluating ... ...
Dmin = 4.73321681758484
STEP 3: Convert Result to Output's Unit
4.73321681758484 Meter --> No Conversion Required
FINAL ANSWER
4.73321681758484 4.733217 Meter <-- Minimum Depth of Foundation
(Calculation completed in 00.004 seconds)

Credits

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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15 Minimum Depth of Foundation by Rankine's Analysis Calculators

Major Stress during Shear Failure by Rankine Analysis
Go Major Principal Stress in Soil = Minor Principal Stress in Soil*(tan((Angle of Inclination to Horizontal in Soil*180)/pi))^2+(2*Cohesion of Soil*tan((Angle of Inclination to Horizontal in Soil*180)/pi))
Minimum Depth of Foundation given Intensity of Loading
Go Minimum Depth of Foundation = Intensity of Loading in Kilopascal/((Unit Weight of Soil)*((1+sin((Angle of Shearing Resistance*pi)/180))/(1-sin((Angle of Shearing Resistance*pi)/180)))^2)
Unit Weight of Soil given Intensity of Loading
Go Unit Weight of Soil = Intensity of Loading in Kilopascal/((Minimum Depth of Foundation)*((1+sin((Angle of Shearing Resistance*pi)/180))/(1-sin((Angle of Shearing Resistance*pi)/180)))^2)
Intensity of Loading given Minimum Depth of Foundation
Go Intensity of Loading in Kilopascal = (Unit Weight of Soil*Minimum Depth of Foundation)*((1+sin((Angle of Shearing Resistance*pi)/180))/(1-sin((Angle of Shearing Resistance*pi)/180)))^2
Ultimate Bearing Capacity given Angle of Shearing Resistance
Go Ultimate Bearing Capacity in Soil = (Unit Weight of Soil*Depth of Footing)*((1+sin((Angle of Shearing Resistance*pi)/180))/(1-sin((Angle of Shearing Resistance*pi)/180)))^2
Unit Weight of Soil given Angle of Shearing Resistance
Go Unit Weight of Soil = Ultimate Bearing Capacity in Soil/(Depth of Footing)*((1+sin((Angle of Shearing Resistance*pi)/180))/(1-sin((Angle of Shearing Resistance*pi)/180)))^2
Minor Normal Stress during Shear Failure by Rankine Analysis
Go Minor Principal Stress in Soil = (Major Principal Stress in Soil-(2*Cohesion of Soil*tan((Angle of Inclination to Horizontal in Soil))))/(tan((Angle of Inclination to Horizontal in Soil)))^2
Depth of Footing given Angle of Inclination from Horizontal
Go Depth of Footing = Ultimate Bearing Capacity in Soil/(Unit Weight of Soil*(tan((Angle of Inclination to Horizontal in Soil*pi)/180))^4)
Depth of Footing given Major Normal Stress
Go Depth of Footing = Major Principal Stress in Soil/(Unit Weight of Soil*(tan(Angle of Inclination to Horizontal in Soil))^2)
Unit Weight of Soil given Angle of Inclination from Horizontal
Go Unit Weight of Soil = Net Ultimate Bearing Capacity/(Depth of Footing*(tan(Angle of Inclination to Horizontal in Soil))^4)
Ultimate Bearing Capacity provided Angle of Inclination from Horizontal
Go Net Ultimate Bearing Capacity = Unit Weight of Soil*Depth of Footing*(tan(Angle of Inclination to Horizontal in Soil))^4
Depth of Footing given Net Pressure Intensity
Go Depth of Footing = (Gross Pressure-Net Pressure)/Unit Weight of Soil
Minor Normal Stress given Unit Weight of Soil
Go Minor Principal Stress in Soil = Unit Weight of Soil*Depth of Footing
Unit Weight of Soil given Minor Normal Stress
Go Unit Weight of Soil = Minor Principal Stress in Soil/Depth of Footing
Depth of Footing given Minor Normal Stress
Go Depth of Footing = Minor Principal Stress in Soil/Unit Weight of Soil

Minimum Depth of Foundation given Intensity of Loading Formula

Minimum Depth of Foundation = Intensity of Loading in Kilopascal/((Unit Weight of Soil)*((1+sin((Angle of Shearing Resistance*pi)/180))/(1-sin((Angle of Shearing Resistance*pi)/180)))^2)
Dmin = q/((γ)*((1+sin((φ*pi)/180))/(1-sin((φ*pi)/180)))^2)

What is Foundation?

A foundation refers to the lower part of a structure, which is designed to distribute the weight of the new building evenly and provide a firm footing.

How to Calculate Minimum Depth of Foundation given Intensity of Loading?

Minimum Depth of Foundation given Intensity of Loading calculator uses Minimum Depth of Foundation = Intensity of Loading in Kilopascal/((Unit Weight of Soil)*((1+sin((Angle of Shearing Resistance*pi)/180))/(1-sin((Angle of Shearing Resistance*pi)/180)))^2) to calculate the Minimum Depth of Foundation, The Minimum Depth of Foundation given Intensity of Loading is defined as the value of Depth of Foundation when we have prior information of other parameters used. Minimum Depth of Foundation is denoted by Dmin symbol.

How to calculate Minimum Depth of Foundation given Intensity of Loading using this online calculator? To use this online calculator for Minimum Depth of Foundation given Intensity of Loading, enter Intensity of Loading in Kilopascal (q), Unit Weight of Soil (γ) & Angle of Shearing Resistance (φ) and hit the calculate button. Here is how the Minimum Depth of Foundation given Intensity of Loading calculation can be explained with given input values -> 0.525913 = 90000/((18000)*((1+sin((0.785398163397301*pi)/180))/(1-sin((0.785398163397301*pi)/180)))^2).

FAQ

What is Minimum Depth of Foundation given Intensity of Loading?
The Minimum Depth of Foundation given Intensity of Loading is defined as the value of Depth of Foundation when we have prior information of other parameters used and is represented as Dmin = q/((γ)*((1+sin((φ*pi)/180))/(1-sin((φ*pi)/180)))^2) or Minimum Depth of Foundation = Intensity of Loading in Kilopascal/((Unit Weight of Soil)*((1+sin((Angle of Shearing Resistance*pi)/180))/(1-sin((Angle of Shearing Resistance*pi)/180)))^2). Intensity of Loading in Kilopascal is defined as the Intensity of Loading at the base of foundation, at which soil support fails in shear is called ultimate bearing capacity of soils in kilopascal, Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil & Angle of Shearing Resistance is known as a component of the shear strength of the soils which is basically frictional material and composed of individual particles.
How to calculate Minimum Depth of Foundation given Intensity of Loading?
The Minimum Depth of Foundation given Intensity of Loading is defined as the value of Depth of Foundation when we have prior information of other parameters used is calculated using Minimum Depth of Foundation = Intensity of Loading in Kilopascal/((Unit Weight of Soil)*((1+sin((Angle of Shearing Resistance*pi)/180))/(1-sin((Angle of Shearing Resistance*pi)/180)))^2). To calculate Minimum Depth of Foundation given Intensity of Loading, you need Intensity of Loading in Kilopascal (q), Unit Weight of Soil (γ) & Angle of Shearing Resistance (φ). With our tool, you need to enter the respective value for Intensity of Loading in Kilopascal, Unit Weight of Soil & Angle of Shearing Resistance 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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