Unit Weight of Soil given Angle of Shearing Resistance 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%
✖Depth of Footing is the longer dimension of the footing.ⓘ Depth of Footing [D]			+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%

✖Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil.ⓘ Unit Weight of Soil given Angle of Shearing Resistance [γ]

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Unit Weight of Soil given Angle of Shearing Resistance Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
γ = q_f/(D)*((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

Unit Weight of Soil - (Measured in Kilonewton per Cubic Meter) - Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil.
Ultimate Bearing Capacity in Soil - (Measured in Pascal) - 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.
Depth of Footing - (Measured in Meter) - Depth of Footing is the longer dimension of the 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

Ultimate Bearing Capacity in Soil: 0.03 Kilopascal --> 30 Pascal (Check conversion here)
Depth of Footing: 15.2 Meter --> 15.2 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

γ = q_f/(D)*((1+sin((φ*pi)/180))/(1-sin((φ*pi)/180)))^2 --> 30/(15.2)*((1+sin((0.785398163397301*pi)/180))/(1-sin((0.785398163397301*pi)/180)))^2

Evaluating ... ...

γ = 2.08492900979487

STEP 3: Convert Result to Output's Unit

2084.92900979487 Newton per Cubic Meter -->2.08492900979487 Kilonewton per Cubic Meter (Check conversion here)

FINAL ANSWER

2.08492900979487 ≈ 2.084929 Kilonewton per Cubic Meter <-- Unit Weight of Soil

(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

Unit Weight of Soil given Angle of Shearing Resistance Formula

LaTeX Go

What is Unit Weight of Soil?

Unit weight of the soil is the total weight of the soil divided by total volume. Total weight of soil also includes weight of water. Total volume occupied includes the volume of water as well as the volume of air along with the soil volume.

How to Calculate Unit Weight of Soil given Angle of Shearing Resistance?

Unit Weight of Soil given Angle of Shearing Resistance calculator uses 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 to calculate the Unit Weight of Soil, The Unit Weight of Soil given Angle of Shearing Resistance is defined as the value of unit weight of soil when we have prior information of other parameters used. Unit Weight of Soil is denoted by γ symbol.

How to calculate Unit Weight of Soil given Angle of Shearing Resistance using this online calculator? To use this online calculator for Unit Weight of Soil given Angle of Shearing Resistance, enter Ultimate Bearing Capacity in Soil (q_f), Depth of Footing (D) & Angle of Shearing Resistance (φ) and hit the calculate button. Here is how the Unit Weight of Soil given Angle of Shearing Resistance calculation can be explained with given input values -> 2.1E-6 = 30/(15.2)*((1+sin((0.785398163397301*pi)/180))/(1-sin((0.785398163397301*pi)/180)))^2.

FAQ

What is Unit Weight of Soil given Angle of Shearing Resistance?

The Unit Weight of Soil given Angle of Shearing Resistance is defined as the value of unit weight of soil when we have prior information of other parameters used and is represented as γ = q_f/(D)*((1+sin((φ*pi)/180))/(1-sin((φ*pi)/180)))^2 or 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. 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, Depth of Footing is the longer dimension of the 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 Unit Weight of Soil given Angle of Shearing Resistance?

The Unit Weight of Soil given Angle of Shearing Resistance is defined as the value of unit weight of soil when we have prior information of other parameters used is calculated using 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. To calculate Unit Weight of Soil given Angle of Shearing Resistance, you need Ultimate Bearing Capacity in Soil (q_f), Depth of Footing (D) & Angle of Shearing Resistance (φ). With our tool, you need to enter the respective value for Ultimate Bearing Capacity in Soil, Depth of Footing & 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.

How many ways are there to calculate Unit Weight of Soil?

In this formula, Unit Weight of Soil uses Ultimate Bearing Capacity in Soil, Depth of Footing & Angle of Shearing Resistance. We can use 3 other way(s) to calculate the same, which is/are as follows -

Unit Weight of Soil = Minor Principal Stress in Soil/Depth of Footing
Unit Weight of Soil = Net Ultimate Bearing Capacity/(Depth of Footing*(tan(Angle of Inclination to Horizontal in Soil))^4)
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)

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