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Unit Weight of Soil given Angle of Inclination from Horizontal Formula

GoUnit Weight of Soil given Minor Normal Stress Formula

GoUnit Weight of Soil given Angle of Shearing Resistance Formula

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Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil. Check FAQs

γ = \frac{q nf}{D \cdot {(\tan (i))}^{4}}

γ - Unit Weight of Soil?q_nf - Net Ultimate Bearing Capacity?D - Depth of Footing?i - Angle of Inclination to Horizontal in Soil?

Unit Weight of Soil given Angle of Inclination from Horizontal Example

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Here is how the Unit Weight of Soil given Angle of Inclination from Horizontal equation looks like with Values.

Here is how the Unit Weight of Soil given Angle of Inclination from Horizontal equation looks like with Units.

Here is how the Unit Weight of Soil given Angle of Inclination from Horizontal equation looks like.

0.5584 = \frac{150}{15.2 \cdot {(\tan (64))}^{4}}

0.5584kN/m³ = \frac{150kN/m²}{15.2m \cdot {(\tan (64°))}^{4}}

0.5584 = \frac{150}{15.2 \cdot {(\tan (64))}^{4}}

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Unit Weight of Soil given Angle of Inclination from Horizontal Solution

Follow our step by step solution on how to calculate Unit Weight of Soil given Angle of Inclination from Horizontal?

FIRST Step Consider the formula

γ = \frac{q nf}{D \cdot {(\tan (i))}^{4}}

Next Step Substitute values of Variables

∴

γ = \frac{150kN/m²}{15.2m \cdot {(\tan (64°))}^{4}}

Next Step Convert Units

∴

γ = \frac{150000Pa}{15.2m \cdot {(\tan (1.117rad))}^{4}}

Next Step Prepare to Evaluate

∴

γ = \frac{150000}{15.2 \cdot {(\tan (1.117))}^{4}}

Next Step Evaluate

∴

γ = 558.437751065974N/m³

Next Step Convert to Output's Unit

∴

γ = 0.558437751065974kN/m³

LAST Step Rounding Answer

∴

γ = 0.5584kN/m³

Unit Weight of Soil given Angle of Inclination from Horizontal Formula Elements

Variables

Functions

Unit Weight of Soil

Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil.

Symbol: γ

Measurement: Specific WeightUnit: kN/m³

Note: Value should be greater than 0.

Formulas to find Unit Weight of Soil

Net Ultimate Bearing Capacity

Net Ultimate Bearing Capacity is the minimum net pressure intensity causing shear failure.

Symbol: q_nf

Measurement: PressureUnit: kN/m²

Note: Value should be greater than 0.

Formulas to find Net Ultimate Bearing Capacity

Depth of Footing

Depth of Footing is the longer dimension of the footing.

Symbol: D

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Depth of Footing

Angle of Inclination to Horizontal in Soil

Angle of Inclination to Horizontal in Soil is defined as the angle measured from the horizontal surface of the wall or any object.

Symbol: i

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Angle of Inclination to Horizontal in Soil

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.

Syntax: tan(Angle)

Other Formulas to find Unit Weight of Soil

Go Unit Weight of Soil given Minor Normal Stress

γ = \frac{σ min}{D}

Go Unit Weight of Soil given Angle of Shearing Resistance

γ = \frac{q f}{D} \cdot {(\frac{1 + \sin (\frac{φ \cdot π}{180})}{1 - \sin (\frac{φ \cdot π}{180})})}^{2}

Go Unit Weight of Soil given Intensity of Loading

γ = \frac{q}{(D min) \cdot {(\frac{1 + \sin (\frac{φ \cdot π}{180})}{1 - \sin (\frac{φ \cdot π}{180})})}^{2}}

Other formulas in Minimum Depth of Foundation by Rankine's Analysis category

Go Major Stress during Shear Failure by Rankine Analysis

σ major = σ min \cdot {(\tan (\frac{i \cdot 180}{π}))}^{2} + (2 \cdot C s \cdot \tan (\frac{i \cdot 180}{π}))

Go Minor Normal Stress during Shear Failure by Rankine Analysis

σ min = \frac{σ major - (2 \cdot C s \cdot \tan ((i)))}{{(\tan ((i)))}^{2}}

Go Minor Normal Stress given Unit Weight of Soil

σ min = γ \cdot D

Go Depth of Footing given Minor Normal Stress

D = \frac{σ min}{γ}

How to Evaluate Unit Weight of Soil given Angle of Inclination from Horizontal?

Unit Weight of Soil given Angle of Inclination from Horizontal evaluator uses Unit Weight of Soil = Net Ultimate Bearing Capacity/(Depth of Footing*(tan(Angle of Inclination to Horizontal in Soil))^4) to evaluate 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 evaluate Unit Weight of Soil given Angle of Inclination from Horizontal using this online evaluator? To use this online evaluator 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.

FAQs on Unit Weight of Soil given Angle of Inclination from Horizontal

What is the formula to find Unit Weight of Soil given Angle of Inclination from Horizontal?

The formula of Unit Weight of Soil given Angle of Inclination from Horizontal is expressed as Unit Weight of Soil = Net Ultimate Bearing Capacity/(Depth of Footing*(tan(Angle of Inclination to Horizontal in Soil))^4). Here is an example- 9.5E-6 = 150000/(15.2*(tan(1.11701072127616))^4).

How to calculate Unit Weight of Soil given Angle of Inclination from Horizontal?

With Net Ultimate Bearing Capacity (q_nf), Depth of Footing (D) & Angle of Inclination to Horizontal in Soil (i) we can find Unit Weight of Soil given Angle of Inclination from Horizontal using the formula - Unit Weight of Soil = Net Ultimate Bearing Capacity/(Depth of Footing*(tan(Angle of Inclination to Horizontal in Soil))^4). This formula also uses Tangent (tan) function(s).

What are the other ways to Calculate Unit Weight of Soil?

Here are the different ways to Calculate Unit Weight of Soil-

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)

Can the Unit Weight of Soil given Angle of Inclination from Horizontal be negative?

No, the Unit Weight of Soil given Angle of Inclination from Horizontal, measured in Specific Weight cannot be negative.

Which unit is used to measure Unit Weight of Soil given Angle of Inclination from Horizontal?

Unit Weight of Soil given Angle of Inclination from Horizontal is usually measured using the Kilonewton per Cubic Meter[kN/m³] for Specific Weight. Newton per Cubic Meter[kN/m³], Newton per Cubic Centimeter[kN/m³], Newton per Cubic Millimeter[kN/m³] are the few other units in which Unit Weight of Soil given Angle of Inclination from Horizontal can be measured.

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Unit Weight of Soil given Angle of Inclination from Horizontal Formula

​GoUnit Weight of Soil given Minor Normal Stress Formula

​GoUnit Weight of Soil given Angle of Shearing Resistance Formula

Unit Weight of Soil given Angle of Inclination from Horizontal Example

Unit Weight of Soil given Angle of Inclination from Horizontal Solution

Unit Weight of Soil given Angle of Inclination from Horizontal Formula Elements

Other Formulas to find Unit Weight of Soil

Other formulas in Minimum Depth of Foundation by Rankine's Analysis category

How to Evaluate Unit Weight of Soil given Angle of Inclination from Horizontal?

FAQs on Unit Weight of Soil given Angle of Inclination from Horizontal

Variable Name

GoUnit Weight of Soil given Minor Normal Stress Formula

GoUnit Weight of Soil given Angle of Shearing Resistance Formula