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Submerged Unit Weight given Weighted 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 w \cdot γ sat}{φ iw}

γ^' - Submerged Unit Weight?φ_w - Weighted Friction Angle?γ_sat - Saturated Unit Weight?φ_iw - Internal Friction Angle with Weighted Frict. Angle?

Submerged Unit Weight given Weighted Friction Angle Example

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

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

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

31.0012 = \frac{130 \cdot 9.98}{41.85}

31.0012N/m³ = \frac{130° \cdot 9.98N/m³}{41.85°}

31.0012 = \frac{130 \cdot 9.98}{41.85}

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Submerged Unit Weight given Weighted Friction Angle Solution

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

FIRST Step Consider the formula

γ' = \frac{φ w \cdot γ sat}{φ iw}

Next Step Substitute values of Variables

∴

γ' = \frac{130° \cdot 9.98N/m³}{41.85°}

Next Step Convert Units

∴

γ' = \frac{2.2689rad \cdot 9.98N/m³}{0.7304rad}

Next Step Prepare to Evaluate

∴

γ' = \frac{2.2689 \cdot 9.98}{0.7304}

Next Step Evaluate

∴

γ' = 31.0011947431302N/m³

LAST Step Rounding Answer

∴

γ' = 31.0012N/m³

Submerged Unit Weight given Weighted Friction Angle Formula Elements

Variables

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

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

Symbol: φ_w

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Weighted Friction Angle

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

Internal Friction Angle with Weighted Frict. Angle

Internal Friction Angle with Weighted Frict. Angle is a measure of the shear strength of a soil due to friction, considering angle of internal friction.

Symbol: φ_iw

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Internal Friction Angle with Weighted Frict. Angle

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 and Effective Friction Angle

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

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 Friction Angle?

Submerged Unit Weight given Weighted Friction Angle evaluator uses Submerged Unit Weight = (Weighted Friction Angle*Saturated Unit Weight)/(Internal Friction Angle with Weighted Frict. Angle) to evaluate the Submerged Unit Weight, The Submerged Unit Weight given Weighted Friction Angle formula is defined as the value of effective weight per unit volume of soil when submerged in water. It accounts for the buoyant force exerted by the water, which reduces the weight of the soil and considering the weighted friction angle. Submerged Unit Weight is denoted by γ^' symbol.

How to evaluate Submerged Unit Weight given Weighted Friction Angle using this online evaluator? To use this online evaluator for Submerged Unit Weight given Weighted Friction Angle, enter Weighted Friction Angle (φ_w), Saturated Unit Weight (γ_sat) & Internal Friction Angle with Weighted Frict. Angle (φ_iw) and hit the calculate button.

FAQs on Submerged Unit Weight given Weighted Friction Angle

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

The formula of Submerged Unit Weight given Weighted Friction Angle is expressed as Submerged Unit Weight = (Weighted Friction Angle*Saturated Unit Weight)/(Internal Friction Angle with Weighted Frict. Angle). Here is an example- 31.00119 = (2.2689280275922*9.98)/(0.73042029195949).

How to calculate Submerged Unit Weight given Weighted Friction Angle?

With Weighted Friction Angle (φ_w), Saturated Unit Weight (γ_sat) & Internal Friction Angle with Weighted Frict. Angle (φ_iw) we can find Submerged Unit Weight given Weighted Friction Angle using the formula - Submerged Unit Weight = (Weighted Friction Angle*Saturated Unit Weight)/(Internal Friction Angle with Weighted Frict. Angle).

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 for Internal Friction*(180/pi))/((Effective Angle of Internal Friction*(180/pi))/(Factor of Safety*Saturated Unit Weight))

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

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

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

Submerged Unit Weight given Weighted 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 Friction Angle can be measured.

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Submerged Unit Weight given Weighted 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 Friction Angle Example

Submerged Unit Weight given Weighted Friction Angle Solution

Submerged Unit Weight given Weighted 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 Friction Angle?

FAQs on Submerged Unit Weight given Weighted 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