Intensity of Loading given Minimum Depth of Foundation Calculator

✖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%
✖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 [D_min]			+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%

✖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 given Minimum Depth of Foundation [q]

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Intensity of Loading given Minimum Depth of Foundation Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
q = (γ*D_min)*((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

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.
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.
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

Unit Weight of Soil: 18 Kilonewton per Cubic Meter --> 18000 Newton per Cubic Meter (Check conversion here)
Minimum Depth of Foundation: 5 Meter --> 5 Meter No Conversion Required
Angle of Shearing Resistance: 45 Degree --> 0.785398163397301 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

q = (γ*D_min)*((1+sin((φ*pi)/180))/(1-sin((φ*pi)/180)))^2 --> (18000*5)*((1+sin((0.785398163397301*pi)/180))/(1-sin((0.785398163397301*pi)/180)))^2

Evaluating ... ...

q = 95072.7628466461

STEP 3: Convert Result to Output's Unit

95072.7628466461 Pascal -->95.0727628466461 Kilopascal (Check conversion here)

FINAL ANSWER

95.0727628466461 ≈ 95.07276 Kilopascal <-- Intensity of Loading in Kilopascal

(Calculation completed in 00.020 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

Intensity of Loading given Minimum Depth of Foundation 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 Intensity of Loading given Minimum Depth of Foundation?

Intensity of Loading given Minimum Depth of Foundation calculator uses 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 to calculate the Intensity of Loading in Kilopascal, The Intensity of Loading given Minimum Depth of Foundation is defined as the value of intensity of loading when we have prior information of other parameters used. Intensity of Loading in Kilopascal is denoted by q symbol.

How to calculate Intensity of Loading given Minimum Depth of Foundation using this online calculator? To use this online calculator for Intensity of Loading given Minimum Depth of Foundation, enter Unit Weight of Soil (γ), Minimum Depth of Foundation (D_min) & Angle of Shearing Resistance (φ) and hit the calculate button. Here is how the Intensity of Loading given Minimum Depth of Foundation calculation can be explained with given input values -> 0.095073 = (18000*5)*((1+sin((0.785398163397301*pi)/180))/(1-sin((0.785398163397301*pi)/180)))^2.

FAQ

What is Intensity of Loading given Minimum Depth of Foundation?

The Intensity of Loading given Minimum Depth of Foundation is defined as the value of intensity of loading when we have prior information of other parameters used and is represented as q = (γ*D_min)*((1+sin((φ*pi)/180))/(1-sin((φ*pi)/180)))^2 or 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. Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil, 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 & 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 Intensity of Loading given Minimum Depth of Foundation?

The Intensity of Loading given Minimum Depth of Foundation is defined as the value of intensity of loading when we have prior information of other parameters used is calculated using 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. To calculate Intensity of Loading given Minimum Depth of Foundation, you need Unit Weight of Soil (γ), Minimum Depth of Foundation (D_min) & Angle of Shearing Resistance (φ). With our tool, you need to enter the respective value for Unit Weight of Soil, Minimum Depth of Foundation & 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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