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Submerged Unit Weight given Weighted and Effective Friction Angle Formula

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

GoSubmerged Unit Weight given Weighted and Mobilised Friction Angle Formula

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

γ' = \frac{φ IF \cdot (\frac{180}{π})}{\frac{φ' \cdot (\frac{180}{π})}{f s \cdot γ sat}}

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

Submerged Unit Weight given Weighted and Effective Friction Angle Example

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Here is how the Submerged Unit Weight given Weighted and Effective Friction Angle equation looks like with Values.

Here is how the Submerged Unit Weight given Weighted and Effective Friction Angle equation looks like with Units.

Here is how the Submerged Unit Weight given Weighted and Effective Friction Angle equation looks like.

30.7692 = \frac{11 \cdot (\frac{180}{3.1416})}{\frac{9.99 \cdot (\frac{180}{3.1416})}{2.8 \cdot 9.98}}

30.7692N/m³ = \frac{11° \cdot (\frac{180}{3.1416})}{\frac{9.99° \cdot (\frac{180}{3.1416})}{2.8 \cdot 9.98N/m³}}

30.7692 = \frac{11 \cdot (\frac{180}{3.1416})}{\frac{9.99 \cdot (\frac{180}{3.1416})}{2.8 \cdot 9.98}}

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Submerged Unit Weight given Weighted and Effective Friction Angle Solution

Follow our step by step solution on how to calculate Submerged Unit Weight given Weighted and Effective Friction Angle?

FIRST Step Consider the formula

γ' = \frac{φ IF \cdot (\frac{180}{π})}{\frac{φ' \cdot (\frac{180}{π})}{f s \cdot γ sat}}

Next Step Substitute values of Variables

∴

γ' = \frac{11° \cdot (\frac{180}{π})}{\frac{9.99° \cdot (\frac{180}{π})}{2.8 \cdot 9.98N/m³}}

Next Step Substitute values of Constants

∴

γ' = \frac{11° \cdot (\frac{180}{3.1416})}{\frac{9.99° \cdot (\frac{180}{3.1416})}{2.8 \cdot 9.98N/m³}}

Next Step Convert Units

∴

γ' = \frac{0.192rad \cdot (\frac{180}{3.1416})}{\frac{0.1744rad \cdot (\frac{180}{3.1416})}{2.8 \cdot 9.98N/m³}}

Next Step Prepare to Evaluate

∴

γ' = \frac{0.192 \cdot (\frac{180}{3.1416})}{\frac{0.1744 \cdot (\frac{180}{3.1416})}{2.8 \cdot 9.98}}

Next Step Evaluate

∴

γ' = 30.7691691691691N/m³

LAST Step Rounding Answer

∴

γ' = 30.7692N/m³

Submerged Unit Weight given Weighted and Effective Friction Angle Formula Elements

Variables

Constants

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

Effective Angle of Internal Friction

Effective Angle of Internal Friction is the shear strength of soil due to the friction between soil particles when subjected to effective stress.

Symbol: φ'

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Effective 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

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

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Submerged Unit Weight

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 Submerged Unit Weight given Weighted and Mobilised Friction Angle

γ' = \frac{γ sat \cdot φ w}{φ m}

Go Submerged Unit Weight given Weighted Friction Angle

γ' = \frac{φ w \cdot γ sat}{φ iw}

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 Factor of Safety with respect to Shear Strength

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

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

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

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 Submerged Unit Weight given Weighted and Effective Friction Angle?

Submerged Unit Weight given Weighted and Effective Friction Angle evaluator uses Submerged Unit Weight = (Weighted Friction Angle for Internal Friction*(180/pi))/((Effective Angle of Internal Friction*(180/pi))/(Factor of Safety*Saturated Unit Weight)) to evaluate the Submerged Unit Weight, The Submerged Unit Weight given Weighted and Effective Friction Angle is defined as the weight per unit volume of a material submerged in water, affecting weighted and effective friction angles. Submerged Unit Weight is denoted by γ^' symbol.

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

FAQs on Submerged Unit Weight given Weighted and Effective Friction Angle

What is the formula to find Submerged Unit Weight given Weighted and Effective Friction Angle?

The formula of Submerged Unit Weight given Weighted and Effective Friction Angle is expressed as Submerged Unit Weight = (Weighted Friction Angle for Internal Friction*(180/pi))/((Effective Angle of Internal Friction*(180/pi))/(Factor of Safety*Saturated Unit Weight)). Here is an example- 30.76917 = (0.19198621771934*(180/pi))/((0.174358392274201*(180/pi))/(2.8*9.98)).

How to calculate Submerged Unit Weight given Weighted and Effective Friction Angle?

With Weighted Friction Angle for Internal Friction (φ_IF), Effective Angle of Internal Friction (φ'), Factor of Safety (f_s) & Saturated Unit Weight (γ_sat) we can find Submerged Unit Weight given Weighted and Effective Friction Angle using the formula - Submerged Unit Weight = (Weighted Friction Angle for Internal Friction*(180/pi))/((Effective Angle of Internal Friction*(180/pi))/(Factor of Safety*Saturated Unit Weight)). This formula also uses Archimedes' constant .

What are the other ways to Calculate Submerged Unit Weight?

Here are the different ways to Calculate Submerged Unit Weight-

Submerged Unit Weight=tan((Weighted Friction Angle*pi)/180)/((1/Saturated Unit Weight)*(tan((Angle of Internal Friction of Soil*pi)/180)/Factor of Safety))
Submerged Unit Weight=(Saturated Unit Weight*Weighted Friction Angle)/Angle of Mobilized Friction
Submerged Unit Weight=(Weighted Friction Angle*Saturated Unit Weight)/(Internal Friction Angle with Weighted Frict. Angle)

Can the Submerged Unit Weight given Weighted and Effective Friction Angle be negative?

No, the Submerged Unit Weight given Weighted and Effective Friction Angle, measured in Specific Weight cannot be negative.

Which unit is used to measure Submerged Unit Weight given Weighted and Effective Friction Angle?

Submerged Unit Weight given Weighted and Effective Friction Angle 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 Submerged Unit Weight given Weighted and Effective Friction Angle can be measured.

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Submerged Unit Weight given Weighted and Effective Friction Angle Formula

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

​GoSubmerged Unit Weight given Weighted and Mobilised Friction Angle Formula

Submerged Unit Weight given Weighted and Effective Friction Angle Example

Submerged Unit Weight given Weighted and Effective Friction Angle Solution

Submerged Unit Weight given Weighted and Effective Friction Angle Formula Elements

Other Formulas to find Submerged Unit Weight

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

How to Evaluate Submerged Unit Weight given Weighted and Effective Friction Angle?

FAQs on Submerged Unit Weight given Weighted and Effective Friction Angle

Variable Name

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

GoSubmerged Unit Weight given Weighted and Mobilised Friction Angle Formula