Depth of Footing given Minor Normal Stress Solution

STEP 0: Pre-Calculation Summary
Formula Used
Depth of Footing = Minor Principal Stress in Soil/Unit Weight of Soil
D = σmin/γ
This formula uses 3 Variables
Variables Used
Depth of Footing - (Measured in Meter) - Depth of Footing is the longer dimension of the footing.
Minor Principal Stress in Soil - (Measured in Pascal) - Minor Principal Stress in Soil is defined as the plane carrying minimum normal stress is known as minor. principal plane and the stress acting on it is called as minor principal stress.
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.
STEP 1: Convert Input(s) to Base Unit
Minor Principal Stress in Soil: 0.0961 Megapascal --> 96100 Pascal (Check conversion here)
Unit Weight of Soil: 18 Kilonewton per Cubic Meter --> 18000 Newton per Cubic Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
D = σmin/γ --> 96100/18000
Evaluating ... ...
D = 5.33888888888889
STEP 3: Convert Result to Output's Unit
5.33888888888889 Meter --> No Conversion Required
FINAL ANSWER
5.33888888888889 5.338889 Meter <-- Depth of Footing
(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

Depth of Footing given Minor Normal Stress Formula

Depth of Footing = Minor Principal Stress in Soil/Unit Weight of Soil
D = σmin/γ

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 Minor Normal Stress?

Depth of Footing given Minor Normal Stress calculator uses Depth of Footing = Minor Principal Stress in Soil/Unit Weight of Soil to calculate the Depth of Footing, The Depth of Footing given Minor 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 Minor Normal Stress using this online calculator? To use this online calculator for Depth of Footing given Minor Normal Stress, enter Minor Principal Stress in Soil min) & Unit Weight of Soil (γ) and hit the calculate button. Here is how the Depth of Footing given Minor Normal Stress calculation can be explained with given input values -> 5.338889 = 96100/18000.

FAQ

What is Depth of Footing given Minor Normal Stress?
The Depth of Footing given Minor 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 = σmin or Depth of Footing = Minor Principal Stress in Soil/Unit Weight of Soil. Minor Principal Stress in Soil is defined as the plane carrying minimum normal stress is known as minor. principal plane and the stress acting on it is called as minor principal stress & Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil.
How to calculate Depth of Footing given Minor Normal Stress?
The Depth of Footing given Minor 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 = Minor Principal Stress in Soil/Unit Weight of Soil. To calculate Depth of Footing given Minor Normal Stress, you need Minor Principal Stress in Soil min) & Unit Weight of Soil (γ). With our tool, you need to enter the respective value for Minor Principal Stress in Soil & Unit Weight of 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 Minor Principal Stress in Soil & Unit Weight of Soil. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Depth of Footing = Major Principal Stress in Soil/(Unit Weight of Soil*(tan(Angle of Inclination to Horizontal in Soil))^2)
  • 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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