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Saturated Unit Weight given Factor of Safety with respect to Shear Strength Formula

GoSaturated Unit Weight given Weighted and Mobilized Friction Angle Formula

GoSaturated Unit Weight given Weighted and Effective Friction Angle Formula

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Saturated Unit Weight is the value of the unit weight of the soil when the soil is completely saturated with water that is all the soil pores are completely filled with water. Check FAQs

γ sat = ((\frac{γ'}{\tan ((φ IF))}) \cdot (\frac{\tan ((φ))}{f s}))

γ_sat - Saturated Unit Weight?γ^' - Submerged Unit Weight?φ_IF - Weighted Friction Angle for Internal Friction?φ - Angle of Internal Friction?f_s - Factor of Safety?

Saturated Unit Weight given Factor of Safety with respect to Shear Strength Example

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Here is how the Saturated Unit Weight given Factor of Safety with respect to Shear Strength equation looks like with Values.

Here is how the Saturated Unit Weight given Factor of Safety with respect to Shear Strength equation looks like with Units.

Here is how the Saturated Unit Weight given Factor of Safety with respect to Shear Strength equation looks like.

9.9714 = ((\frac{31}{\tan ((11))}) \cdot (\frac{\tan ((9.93))}{2.8}))

9.9714N/m³ = ((\frac{31N/m³}{\tan ((11°))}) \cdot (\frac{\tan ((9.93°))}{2.8}))

9.9714 = ((\frac{31}{\tan ((11))}) \cdot (\frac{\tan ((9.93))}{2.8}))

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Saturated Unit Weight given Factor of Safety with respect to Shear Strength Solution

Follow our step by step solution on how to calculate Saturated Unit Weight given Factor of Safety with respect to Shear Strength?

FIRST Step Consider the formula

γ sat = ((\frac{γ'}{\tan ((φ IF))}) \cdot (\frac{\tan ((φ))}{f s}))

Next Step Substitute values of Variables

∴

γ sat = ((\frac{31N/m³}{\tan ((11°))}) \cdot (\frac{\tan ((9.93°))}{2.8}))

Next Step Convert Units

∴

γ sat = ((\frac{31N/m³}{\tan ((0.192rad))}) \cdot (\frac{\tan ((0.1733rad))}{2.8}))

Next Step Prepare to Evaluate

∴

γ sat = ((\frac{31}{\tan ((0.192))}) \cdot (\frac{\tan ((0.1733))}{2.8}))

Next Step Evaluate

∴

γ sat = 9.97142008324347N/m³

LAST Step Rounding Answer

∴

γ sat = 9.9714N/m³

Saturated Unit Weight given Factor of Safety with respect to Shear Strength Formula Elements

Variables

Functions

Saturated Unit Weight

Saturated Unit Weight is the value of the unit weight of the soil when the soil is completely saturated with water that is all the soil pores are completely filled with water.

Symbol: γ_sat

Measurement: Specific WeightUnit: N/m³

Note: Value should be greater than 0.

Formulas to find Saturated Unit Weight

Submerged Unit Weight

Submerged Unit Weight is the effective weight of the soil per unit volume when it is submerged in water.

Symbol: γ^'

Measurement: Specific WeightUnit: N/m³

Note: Value should be greater than 0.

Formulas to find Submerged Unit Weight

Weighted Friction Angle for Internal Friction

Weighted Friction Angle for Internal Friction is an effective measure combining materials' friction properties and their relative contributions in geotechnical engineering for stability analysis.

Symbol: φ_IF

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Weighted Friction Angle for Internal Friction

Angle of Internal Friction

Angle of Internal Friction is the angle measured between the normal force and resultant force.

Symbol: φ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Angle of Internal Friction

Factor of Safety

Factor of Safety is a measure of the load-carrying capacity of a structure or material compared to the actual load or stress that is applied to it.

Symbol: f_s

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Factor of Safety

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 Saturated Unit Weight

Go Saturated Unit Weight given Weighted and Mobilized Friction Angle

γ sat = \frac{γ' \cdot φ m}{φ w}

Go Saturated Unit Weight given Weighted and Effective Friction Angle

γ sat = \frac{γ' \cdot φ'}{φ IF \cdot f s}

Go Saturated Unit Weight given Weighted Friction Angle

γ sat = \frac{γ' \cdot φ iw}{φ w}

Other formulas in Taylor's Stability Number and Stability Curves category

Go Weighted Friction Angle given Factor of Safety with respect to Shear Strength

φ w = a \tan ((\frac{γ'}{γ sat}) \cdot (\frac{\tan ((Φ i))}{f s}))

Go Submerged Unit Weight given Factor of Safety with respect to Shear Strength

γ' = \frac{\tan (\frac{φ w \cdot π}{180})}{(\frac{1}{γ sat}) \cdot (\frac{\tan (\frac{Φ i \cdot π}{180})}{f s})}

Go Factor of Safety with respect to Shear Strength

f s = ((\frac{γ'}{γ sat}) \cdot (\frac{\tan ((φ))}{\tan ((φ IF))}))

Go Angle of Internal Friction given Factor of Safety

φ = a \tan (\frac{f s \cdot γ sat \cdot \tan ((φ IF))}{γ'})

How to Evaluate Saturated Unit Weight given Factor of Safety with respect to Shear Strength?

Saturated Unit Weight given Factor of Safety with respect to Shear Strength evaluator uses Saturated Unit Weight = ((Submerged Unit Weight/tan((Weighted Friction Angle for Internal Friction)))*(tan((Angle of Internal Friction))/Factor of Safety)) to evaluate the Saturated Unit Weight, The Saturated Unit Weight given Factor of Safety with respect to Shear Strength is defined as the value of the unit weight of the soil when the soil is completely saturated with water that is all the soil pores are completely filled with water, calculated when we have prior information of other parameters used. Saturated Unit Weight is denoted by γ_sat symbol.

How to evaluate Saturated Unit Weight given Factor of Safety with respect to Shear Strength using this online evaluator? To use this online evaluator for Saturated Unit Weight given Factor of Safety with respect to Shear Strength, enter Submerged Unit Weight (γ^'), Weighted Friction Angle for Internal Friction (φ_IF), Angle of Internal Friction (φ) & Factor of Safety (f_s) and hit the calculate button.

FAQs on Saturated Unit Weight given Factor of Safety with respect to Shear Strength

What is the formula to find Saturated Unit Weight given Factor of Safety with respect to Shear Strength?

The formula of Saturated Unit Weight given Factor of Safety with respect to Shear Strength is expressed as Saturated Unit Weight = ((Submerged Unit Weight/tan((Weighted Friction Angle for Internal Friction)))*(tan((Angle of Internal Friction))/Factor of Safety)). Here is an example- 58.98128 = ((31/tan((0.19198621771934)))*(tan((0.173311194723004))/2.8)).

How to calculate Saturated Unit Weight given Factor of Safety with respect to Shear Strength?

With Submerged Unit Weight (γ^'), Weighted Friction Angle for Internal Friction (φ_IF), Angle of Internal Friction (φ) & Factor of Safety (f_s) we can find Saturated Unit Weight given Factor of Safety with respect to Shear Strength using the formula - Saturated Unit Weight = ((Submerged Unit Weight/tan((Weighted Friction Angle for Internal Friction)))*(tan((Angle of Internal Friction))/Factor of Safety)). This formula also uses Tangent (tan) function(s).

What are the other ways to Calculate Saturated Unit Weight?

Here are the different ways to Calculate Saturated Unit Weight-

Saturated Unit Weight=(Submerged Unit Weight*Angle of Mobilized Friction)/Weighted Friction Angle
Saturated Unit Weight=(Submerged Unit Weight*Effective Angle of Internal Friction)/(Weighted Friction Angle for Internal Friction*Factor of Safety)
Saturated Unit Weight=(Submerged Unit Weight*Internal Friction Angle with Weighted Frict. Angle)/Weighted Friction Angle

Can the Saturated Unit Weight given Factor of Safety with respect to Shear Strength be negative?

No, the Saturated Unit Weight given Factor of Safety with respect to Shear Strength, measured in Specific Weight cannot be negative.

Which unit is used to measure Saturated Unit Weight given Factor of Safety with respect to Shear Strength?

Saturated Unit Weight given Factor of Safety with respect to Shear Strength is usually measured using the Newton per Cubic Meter[N/m³] for Specific Weight. Newton per Cubic Centimeter[N/m³], Newton per Cubic Millimeter[N/m³], Kilonewton per Cubic Meter[N/m³] are the few other units in which Saturated Unit Weight given Factor of Safety with respect to Shear Strength can be measured.

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Saturated Unit Weight given Factor of Safety with respect to Shear Strength Formula

​GoSaturated Unit Weight given Weighted and Mobilized Friction Angle Formula

​GoSaturated Unit Weight given Weighted and Effective Friction Angle Formula

Saturated Unit Weight given Factor of Safety with respect to Shear Strength Example

Saturated Unit Weight given Factor of Safety with respect to Shear Strength Solution

Saturated Unit Weight given Factor of Safety with respect to Shear Strength Formula Elements

Other Formulas to find Saturated Unit Weight

Other formulas in Taylor's Stability Number and Stability Curves category

How to Evaluate Saturated Unit Weight given Factor of Safety with respect to Shear Strength?

FAQs on Saturated Unit Weight given Factor of Safety with respect to Shear Strength

Variable Name

GoSaturated Unit Weight given Weighted and Mobilized Friction Angle Formula

GoSaturated Unit Weight given Weighted and Effective Friction Angle Formula