Minimum Depth of Foundation given Intensity of Loading Calculator

✖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.ⓘ Intensity of Loading in Kilopascal [q]			+10% -10%
✖Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil.ⓘ Unit Weight of Soil [γ]			+10% -10%
✖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.ⓘ Angle of Shearing Resistance [φ]			+10% -10%

✖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.ⓘ Minimum Depth of Foundation given Intensity of Loading [D_min]

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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)
D_min = 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

D_min = 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 ... ...

D_min = 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 00.007 seconds)

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Birsa Institute of Technology (BIT), Sindri

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< Minimum Depth of Foundation by Rankine's Analysis Calculators

Major Stress during Shear Failure by Rankine Analysis

LaTeX 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))

Minor Normal Stress during Shear Failure by Rankine Analysis

LaTeX 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

Minor Normal Stress given Unit Weight of Soil

LaTeX Go Minor Principal Stress in Soil = Unit Weight of Soil*Depth of Footing

Unit Weight of Soil given Minor Normal Stress

LaTeX Go Unit Weight of Soil = Minor Principal Stress in Soil/Depth of Footing

Minimum Depth of Foundation given Intensity of Loading Formula

LaTeX Go

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 D_min 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 D_min = 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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