Unit Weight of Soil given Angle of Inclination from Horizontal Calculator

✖Net Ultimate Bearing Capacity is the minimum net pressure intensity causing shear failure.ⓘ Net Ultimate Bearing Capacity [q_nf]			+10% -10%
✖Depth of Footing is the longer dimension of the footing.ⓘ Depth of Footing [D]			+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%

✖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 Inclination from Horizontal [γ]

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Formula

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Unit Weight of Soil given Angle of Inclination from Horizontal

Formula

`"γ" = "q"_{"nf"}/("D"*(tan("i"))^4)`

Example

`"0.558438kN/m³"="150kN/m²"/("15.2m"*(tan("64°"))^4)`

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Unit Weight of Soil given Angle of Inclination from Horizontal Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
Net Ultimate Bearing Capacity - (Measured in Pascal) - Net Ultimate Bearing Capacity is the minimum net pressure intensity causing shear failure.
Depth of Footing - (Measured in Meter) - Depth of Footing is the longer dimension of the footing.
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

Net Ultimate Bearing Capacity: 150 Kilonewton per Square Meter --> 150000 Pascal (Check conversion here)
Depth of Footing: 15.2 Meter --> 15.2 Meter No Conversion Required
Angle of Inclination to Horizontal in Soil: 64 Degree --> 1.11701072127616 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

γ = q_nf/(D*(tan(i))^4) --> 150000/(15.2*(tan(1.11701072127616))^4)

Evaluating ... ...

γ = 558.437751065974

STEP 3: Convert Result to Output's Unit

558.437751065974 Newton per Cubic Meter -->0.558437751065974 Kilonewton per Cubic Meter (Check conversion here)

FINAL ANSWER

0.558437751065974 ≈ 0.558438 Kilonewton per Cubic Meter <-- Unit Weight of Soil

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Geotechnical Engineering » Minimum Depth of Foundation by Rankine's Analysis » Unit Weight of Soil given Angle of Inclination from Horizontal

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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

Unit Weight of Soil given Angle of Inclination from Horizontal Formula

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

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 Inclination from Horizontal?

Unit Weight of Soil given Angle of Inclination from Horizontal calculator uses Unit Weight of Soil = Net Ultimate Bearing Capacity/(Depth of Footing*(tan(Angle of Inclination to Horizontal in Soil))^4) to calculate the Unit Weight of Soil, The Unit Weight of Soil given Angle of Inclination from Horizontal 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 Inclination from Horizontal using this online calculator? To use this online calculator for Unit Weight of Soil given Angle of Inclination from Horizontal, enter Net Ultimate Bearing Capacity (q_nf), Depth of Footing (D) & Angle of Inclination to Horizontal in Soil (i) and hit the calculate button. Here is how the Unit Weight of Soil given Angle of Inclination from Horizontal calculation can be explained with given input values -> 9.5E-6 = 150000/(15.2*(tan(1.11701072127616))^4).

FAQ

What is Unit Weight of Soil given Angle of Inclination from Horizontal?

The Unit Weight of Soil given Angle of Inclination from Horizontal 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_nf/(D*(tan(i))^4) or Unit Weight of Soil = Net Ultimate Bearing Capacity/(Depth of Footing*(tan(Angle of Inclination to Horizontal in Soil))^4). Net Ultimate Bearing Capacity is the minimum net pressure intensity causing shear failure, Depth of Footing is the longer dimension of the footing & 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 Unit Weight of Soil given Angle of Inclination from Horizontal?

The Unit Weight of Soil given Angle of Inclination from Horizontal 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 = Net Ultimate Bearing Capacity/(Depth of Footing*(tan(Angle of Inclination to Horizontal in Soil))^4). To calculate Unit Weight of Soil given Angle of Inclination from Horizontal, you need Net Ultimate Bearing Capacity (q_nf), Depth of Footing (D) & Angle of Inclination to Horizontal in Soil (i). With our tool, you need to enter the respective value for Net Ultimate Bearing Capacity, Depth of Footing & 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 Unit Weight of Soil?

In this formula, Unit Weight of Soil uses Net Ultimate Bearing Capacity, Depth of Footing & Angle of Inclination to Horizontal in Soil. 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 = 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
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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