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Unit Weight of Soil given Factor of Safety Formula

GoUnit Weight of Soil given Critical Depth for Cohesive Soil Formula

GoUnit Weight of Soil given Stability Number for Cohesive Soil 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{c}{S n \cdot H Mobilised \cdot F c})

γ - Unit Weight of Soil?c - Cohesion of Soil?S_n - Stability Number?H_Mobilised - Depth at Mobilized Cohesion in Stability Number?F_c - Factor of Safety with respect to Cohesion?

Unit Weight of Soil given Factor of Safety Example

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Here is how the Unit Weight of Soil given Factor of Safety equation looks like with Values.

Here is how the Unit Weight of Soil given Factor of Safety equation looks like with Units.

Here is how the Unit Weight of Soil given Factor of Safety equation looks like.

16.4375 = (\frac{2.511}{2.01 \cdot 0.04 \cdot 1.9})

16.4375kN/m³ = (\frac{2.511kPa}{2.01 \cdot 0.04m \cdot 1.9})

16.4375 = (\frac{2.511}{2.01 \cdot 0.04 \cdot 1.9})

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Unit Weight of Soil given Factor of Safety Solution

Follow our step by step solution on how to calculate Unit Weight of Soil given Factor of Safety?

FIRST Step Consider the formula

γ = (\frac{c}{S n \cdot H Mobilised \cdot F c})

Next Step Substitute values of Variables

∴

γ = (\frac{2.511kPa}{2.01 \cdot 0.04m \cdot 1.9})

Next Step Prepare to Evaluate

∴

γ = (\frac{2.511}{2.01 \cdot 0.04 \cdot 1.9})

Next Step Evaluate

∴

γ = 16437.5490966222N/m³

Next Step Convert to Output's Unit

∴

γ = 16.4375490966222kN/m³

LAST Step Rounding Answer

∴

γ = 16.4375kN/m³

Unit Weight of Soil given Factor of Safety Formula Elements

Variables

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

Cohesion of Soil

Cohesion of Soil is the ability of like particles within soil to hold onto each other. It is the shear strength or force that binds together like particles in the structure of a soil.

Symbol: c

Measurement: PressureUnit: kPa

Note: Value should be greater than 0.

Formulas to find Cohesion of Soil

Stability Number

Stability Number is a parameter used to assess the stability of slopes, particularly in soil mechanics and geotechnical analyses.

Symbol: S_n

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Stability Number

Depth at Mobilized Cohesion in Stability Number

Depth at Mobilized Cohesion in Stability Number is soil layer thickness where effective cohesion is reached, impacting slope stability.

Symbol: H_Mobilised

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Depth at Mobilized Cohesion in Stability Number

Factor of Safety with respect to Cohesion

Factor of Safety with respect to Cohesion is the ratio of material's shear strength to applied shear stress, ensuring stability against sliding.

Symbol: F_c

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Factor of Safety with respect to Cohesion

Other Formulas to find Unit Weight of Soil

Go Unit Weight of Soil given Critical Depth for Cohesive Soil

γ = \frac{c}{h c \cdot (\tan ((I)) - \tan ((φ))) \cdot {(\cos ((I)))}^{2}}

Go Unit Weight of Soil given Stability Number for Cohesive Soil

γ = (\frac{c}{S n \cdot h cs})

Go Unit Weight of Soil given Mobilized Cohesion

γ = (\frac{C c}{S n \cdot H})

Other formulas in Stability Analysis of Infinite Slopes category

Go Shear Strength of Cohesionless Soil

τ s = σ nm \cdot \tan ((φ))

Go Normal Stress given Shear Strength of Cohesionless Soil

σ nm = \frac{τ s}{\tan ((φ))}

Go Angle of Internal Friction given Shear Strength of Cohesionless Soil

φ = a \tan (\frac{τ s}{σ nm})

Go Normal Stress given Shear Stress of Cohesionless Soil

σ nm = 𝜏 Shearstress \cdot \cot ((I))

How to Evaluate Unit Weight of Soil given Factor of Safety?

Unit Weight of Soil given Factor of Safety evaluator uses Unit Weight of Soil = (Cohesion of Soil/(Stability Number*Depth at Mobilized Cohesion in Stability Number*Factor of Safety with respect to Cohesion)) to evaluate the Unit Weight of Soil, The Unit Weight of Soil given Factor of Safety formula is defined as the weight per unit volume, considering a factor of safety for cohesion in geotechnical engineering. Unit Weight of Soil is denoted by γ symbol.

How to evaluate Unit Weight of Soil given Factor of Safety using this online evaluator? To use this online evaluator for Unit Weight of Soil given Factor of Safety, enter Cohesion of Soil (c), Stability Number (S_n), Depth at Mobilized Cohesion in Stability Number (H_Mobilised) & Factor of Safety with respect to Cohesion (F_c) and hit the calculate button.

FAQs on Unit Weight of Soil given Factor of Safety

What is the formula to find Unit Weight of Soil given Factor of Safety?

The formula of Unit Weight of Soil given Factor of Safety is expressed as Unit Weight of Soil = (Cohesion of Soil/(Stability Number*Depth at Mobilized Cohesion in Stability Number*Factor of Safety with respect to Cohesion)). Here is an example- 0.019704 = (2511/(2.01*0.04*1.9)).

How to calculate Unit Weight of Soil given Factor of Safety?

With Cohesion of Soil (c), Stability Number (S_n), Depth at Mobilized Cohesion in Stability Number (H_Mobilised) & Factor of Safety with respect to Cohesion (F_c) we can find Unit Weight of Soil given Factor of Safety using the formula - Unit Weight of Soil = (Cohesion of Soil/(Stability Number*Depth at Mobilized Cohesion in Stability Number*Factor of Safety with respect to Cohesion)).

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=Cohesion of Soil/(Critical Depth*(tan((Angle of Inclination))-tan((Angle of Internal Friction)))*(cos((Angle of Inclination)))^2)
Unit Weight of Soil=(Cohesion of Soil/(Stability Number*Critical Depth for Stability Number))
Unit Weight of Soil=(Mobilized Cohesion for Cohesive Soil/(Stability Number*Depth at Mobilized Cohesion))

Can the Unit Weight of Soil given Factor of Safety be negative?

No, the Unit Weight of Soil given Factor of Safety, measured in Specific Weight cannot be negative.

Which unit is used to measure Unit Weight of Soil given Factor of Safety?

Unit Weight of Soil given Factor of Safety 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 Factor of Safety can be measured.

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Unit Weight of Soil given Factor of Safety Formula

​GoUnit Weight of Soil given Critical Depth for Cohesive Soil Formula

​GoUnit Weight of Soil given Stability Number for Cohesive Soil Formula

Unit Weight of Soil given Factor of Safety Example

Unit Weight of Soil given Factor of Safety Solution

Unit Weight of Soil given Factor of Safety Formula Elements

Other Formulas to find Unit Weight of Soil

Other formulas in Stability Analysis of Infinite Slopes category

How to Evaluate Unit Weight of Soil given Factor of Safety?

FAQs on Unit Weight of Soil given Factor of Safety

Variable Name

GoUnit Weight of Soil given Critical Depth for Cohesive Soil Formula

GoUnit Weight of Soil given Stability Number for Cohesive Soil Formula