Depth of Footing given Angle of Inclination from Horizontal Calculator

✖The Ultimate Bearing Capacity in soil mechanics is defined as the minimum gross pressure intensity at the base of the foundation at which the soil fails in shear.ⓘ Ultimate Bearing Capacity in Soil [q_f]			+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 Angle of Inclination from Horizontal [D]

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Depth of Footing given Angle of Inclination from Horizontal Solution

STEP 0: Pre-Calculation Summary

Formula Used

Depth of Footing = Ultimate Bearing Capacity in Soil/(Unit Weight of Soil*(tan((Angle of Inclination to Horizontal in Soil*pi)/180))^4)
D = q_f/(γ*(tan((i*pi)/180))^4)
This formula uses 1 Constants, 1 Functions, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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.
Ultimate Bearing Capacity in Soil - (Measured in Kilopascal) - The Ultimate Bearing Capacity in soil mechanics is defined as the minimum gross pressure intensity at the base of the foundation at which the soil fails in shear.
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

Ultimate Bearing Capacity in Soil: 0.03 Kilopascal --> 0.03 Kilopascal No Conversion Required
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 = q_f/(γ*(tan((i*pi)/180))^4) --> 0.03/(18000*(tan((1.11701072127616*pi)/180))^4)

Evaluating ... ...

D = 11.5316063177005

STEP 3: Convert Result to Output's Unit

11.5316063177005 Meter --> No Conversion Required

FINAL ANSWER

11.5316063177005 ≈ 11.53161 Meter <-- Depth of Footing

(Calculation completed in 00.020 seconds)

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Created by Suraj Kumar

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

Depth of Footing given Angle of Inclination from Horizontal Formula

LaTeX Go

Depth of Footing = Ultimate Bearing Capacity in Soil/(Unit Weight of Soil*(tan((Angle of Inclination to Horizontal in Soil*pi)/180))^4)
D = q_f/(γ*(tan((i*pi)/180))^4)

What is Footing?

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 Angle of Inclination from Horizontal?

Depth of Footing given Angle of Inclination from Horizontal calculator uses Depth of Footing = Ultimate Bearing Capacity in Soil/(Unit Weight of Soil*(tan((Angle of Inclination to Horizontal in Soil*pi)/180))^4) to calculate the Depth of Footing, The Depth of Footing given Angle of Inclination from Horizontal 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 Angle of Inclination from Horizontal using this online calculator? To use this online calculator for Depth of Footing given Angle of Inclination from Horizontal, enter Ultimate Bearing Capacity in Soil (q_f), 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 Angle of Inclination from Horizontal calculation can be explained with given input values -> 4.721999 = 30/(18000*(tan((1.11701072127616*pi)/180))^4).

FAQ

What is Depth of Footing given Angle of Inclination from Horizontal?

The Depth of Footing given Angle of Inclination from Horizontal is defined as the value of depth of footing when we have prior information of other parameters used and is represented as D = q_f/(γ*(tan((i*pi)/180))^4) or Depth of Footing = Ultimate Bearing Capacity in Soil/(Unit Weight of Soil*(tan((Angle of Inclination to Horizontal in Soil*pi)/180))^4). The Ultimate Bearing Capacity in soil mechanics is defined as the minimum gross pressure intensity at the base of the foundation at which the soil fails in shear, 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 Angle of Inclination from Horizontal?

The Depth of Footing given Angle of Inclination from Horizontal is defined as the value of depth of footing when we have prior information of other parameters used is calculated using Depth of Footing = Ultimate Bearing Capacity in Soil/(Unit Weight of Soil*(tan((Angle of Inclination to Horizontal in Soil*pi)/180))^4). To calculate Depth of Footing given Angle of Inclination from Horizontal, you need Ultimate Bearing Capacity in Soil (q_f), Unit Weight of Soil (γ) & Angle of Inclination to Horizontal in Soil (i). With our tool, you need to enter the respective value for Ultimate Bearing Capacity 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 Ultimate Bearing Capacity 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 = Major Principal Stress in Soil/(Unit Weight of Soil*(tan(Angle of Inclination to Horizontal in Soil))^2)
Depth of Footing = (Gross Pressure-Net Pressure)/Unit Weight of Soil

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