Depth of Footing given Major Normal Stress Calculator

✖Major Principal Stress in Soil can be defined as the maximum normal stress acting on the principal plane in soil mechanics.ⓘ Major Principal Stress in Soil [σ_major]			+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 Inclination to Horizontal in Soil is defined as the angle measured from the horizontal surface of the wall or any object.ⓘ Angle of Inclination to Horizontal in Soil [i]			+10% -10%

✖Depth of Footing is the longer dimension of the footing.ⓘ Depth of Footing given Major Normal Stress [D]

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Formula

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Depth of Footing given Major Normal Stress

Formula

`"D" = "σ"_{"major"}/("γ"*(tan("i"))^2)`

Example

`"9.911795m"="0.75MPa"/("18kN/m³"*(tan("64°"))^2)`

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Depth of Footing given Major Normal Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Depth of Footing = Major Principal Stress in Soil/(Unit Weight of Soil*(tan(Angle of Inclination to Horizontal in Soil))^2)
D = σ_major/(γ*(tan(i))^2)
This formula uses 1 Functions, 4 Variables

Functions Used

tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)

Variables Used

Depth of Footing - (Measured in Meter) - Depth of Footing is the longer dimension of the footing.
Major Principal Stress in Soil - (Measured in Pascal) - Major Principal Stress in Soil can be defined as the maximum normal stress acting on the principal plane in soil mechanics.
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 Inclination to Horizontal in Soil - (Measured in Radian) - Angle of Inclination to Horizontal in Soil is defined as the angle measured from the horizontal surface of the wall or any object.

STEP 1: Convert Input(s) to Base Unit

Major Principal Stress in Soil: 0.75 Megapascal --> 750000 Pascal (Check conversion here)
Unit Weight of Soil: 18 Kilonewton per Cubic Meter --> 18000 Newton per Cubic Meter (Check conversion here)
Angle of Inclination to Horizontal in Soil: 64 Degree --> 1.11701072127616 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D = σ_major/(γ*(tan(i))^2) --> 750000/(18000*(tan(1.11701072127616))^2)

Evaluating ... ...

D = 9.91179491455878

STEP 3: Convert Result to Output's Unit

9.91179491455878 Meter --> No Conversion Required

FINAL ANSWER

9.91179491455878 ≈ 9.911795 Meter <-- Depth of Footing

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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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

Depth of Footing given Major Normal Stress Formula

Depth of Footing = Major Principal Stress in Soil/(Unit Weight of Soil*(tan(Angle of Inclination to Horizontal in Soil))^2)
D = σ_major/(γ*(tan(i))^2)

What is Footing?

Footings are an important part of foundation construction. They are typically made of concrete with rebar reinforcement that has been poured into an excavated trench. The purpose of footings is to support the foundation and prevent settling. Footings are especially important in areas with troublesome soils.

How to Calculate Depth of Footing given Major Normal Stress?

Depth of Footing given Major Normal Stress calculator uses Depth of Footing = Major Principal Stress in Soil/(Unit Weight of Soil*(tan(Angle of Inclination to Horizontal in Soil))^2) to calculate the Depth of Footing, The Depth of Footing given Major Normal Stress is defined as the value of depth of footing when we have prior information of other parameters used. Depth of Footing is denoted by D symbol.

How to calculate Depth of Footing given Major Normal Stress using this online calculator? To use this online calculator for Depth of Footing given Major Normal Stress, enter Major Principal Stress in Soil (σ_major), Unit Weight of Soil (γ) & Angle of Inclination to Horizontal in Soil (i) and hit the calculate button. Here is how the Depth of Footing given Major Normal Stress calculation can be explained with given input values -> 991.1795 = 750000/(18000*(tan(1.11701072127616))^2).

FAQ

What is Depth of Footing given Major Normal Stress?

The Depth of Footing given Major Normal Stress is defined as the value of depth of footing when we have prior information of other parameters used and is represented as D = σ_major/(γ*(tan(i))^2) or Depth of Footing = Major Principal Stress in Soil/(Unit Weight of Soil*(tan(Angle of Inclination to Horizontal in Soil))^2). Major Principal Stress in Soil can be defined as the maximum normal stress acting on the principal plane in soil mechanics, Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil & Angle of Inclination to Horizontal in Soil is defined as the angle measured from the horizontal surface of the wall or any object.

How to calculate Depth of Footing given Major Normal Stress?

The Depth of Footing given Major Normal Stress is defined as the value of depth of footing when we have prior information of other parameters used is calculated using Depth of Footing = Major Principal Stress in Soil/(Unit Weight of Soil*(tan(Angle of Inclination to Horizontal in Soil))^2). To calculate Depth of Footing given Major Normal Stress, you need Major Principal Stress in Soil (σ_major), Unit Weight of Soil (γ) & Angle of Inclination to Horizontal in Soil (i). With our tool, you need to enter the respective value for Major Principal Stress in Soil, Unit Weight of Soil & Angle of Inclination to Horizontal in Soil 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 Depth of Footing?

In this formula, Depth of Footing uses Major Principal Stress in Soil, Unit Weight of Soil & Angle of Inclination to Horizontal in Soil. We can use 3 other way(s) to calculate the same, which is/are as follows -

Depth of Footing = Minor Principal Stress in Soil/Unit Weight of Soil
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 = (Gross Pressure-Net Pressure)/Unit Weight of Soil

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