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Submerged Unit Weight given Shear Stress Component Formula

GoSubmerged Unit Weight given Normal Stress Component Formula

GoSubmerged Unit Weight given Factor of Safety for Cohesive Soil Formula

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Submerged Unit Weight is the unit weight of weight of soil as observed underwater in a saturated condition of course. Check FAQs

γ' = \frac{𝜏}{z \cdot \cos ((i)) \cdot \sin ((i))}

γ^' - Submerged Unit Weight?𝜏 - Shear Stress for Submerged Slopes?z - Depth of Prism?i - Angle of Inclination to Horizontal in Soil?

Submerged Unit Weight given Shear Stress Component Example

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Here is how the Submerged Unit Weight given Shear Stress Component equation looks like with Values.

Here is how the Submerged Unit Weight given Shear Stress Component equation looks like with Units.

Here is how the Submerged Unit Weight given Shear Stress Component equation looks like.

4.9915 = \frac{5.9}{3 \cdot \cos ((64)) \cdot \sin ((64))}

4.9915N/m³ = \frac{5.9Pa}{3m \cdot \cos ((64°)) \cdot \sin ((64°))}

4.9915 = \frac{5.9}{3 \cdot \cos ((64)) \cdot \sin ((64))}

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Submerged Unit Weight given Shear Stress Component Solution

Follow our step by step solution on how to calculate Submerged Unit Weight given Shear Stress Component?

FIRST Step Consider the formula

γ' = \frac{𝜏}{z \cdot \cos ((i)) \cdot \sin ((i))}

Next Step Substitute values of Variables

∴

γ' = \frac{5.9Pa}{3m \cdot \cos ((64°)) \cdot \sin ((64°))}

Next Step Convert Units

∴

γ' = \frac{5.9Pa}{3m \cdot \cos ((1.117rad)) \cdot \sin ((1.117rad))}

Next Step Prepare to Evaluate

∴

γ' = \frac{5.9}{3 \cdot \cos ((1.117)) \cdot \sin ((1.117))}

Next Step Evaluate

∴

γ' = 4.9914716459505N/m³

LAST Step Rounding Answer

∴

γ' = 4.9915N/m³

Submerged Unit Weight given Shear Stress Component Formula Elements

Variables

Functions

Submerged Unit Weight

Submerged Unit Weight is the unit weight of weight of soil as observed underwater in a saturated condition of course.

Symbol: γ^'

Measurement: Specific WeightUnit: N/m³

Note: Value should be greater than 0.

Formulas to find Submerged Unit Weight

Shear Stress for Submerged Slopes

Shear Stress for Submerged Slopes is the force per unit area parallel to the slope surface beneath water, causing deformation.

Symbol: 𝜏

Measurement: StressUnit: Pa

Note: Value should be greater than 0.

Formulas to find Shear Stress for Submerged Slopes

Depth of Prism

Depth of Prism is the length of prism along z direction.

Symbol: z

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Depth of Prism

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

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other Formulas to find Submerged Unit Weight

Go Submerged Unit Weight given Normal Stress Component

γ' = \frac{σ Normal}{z \cdot {(\cos ((i)))}^{2}}

Go Submerged Unit Weight given Factor of Safety for Cohesive Soil

γ' = (\frac{C s}{(f s - (\frac{\tan ((φ))}{\tan ((i))})) \cdot z \cdot \cos ((i)) \cdot \sin ((i))})

Go Submerged Unit Weight given Critical Depth

γ' = \frac{C s \cdot {(\sec ((i)))}^{2}}{h c \cdot (\tan ((i)) - \tan ((φ)))}

Other formulas in Stability Analysis of Submerged Slopes category

Go Normal Stress Component given Submerged Unit Weight

σ Normal = γ' \cdot z \cdot {(\cos ((i)))}^{2}

Go Depth of Prism given Submerged Unit Weight

z = \frac{σ Normal}{γ' \cdot {(\cos ((i)))}^{2}}

Go Shear Stress Component given Submerged Unit Weight

𝜏 = (γ' \cdot z \cdot \cos ((i)) \cdot \sin ((i)))

Go Depth of Prism given Submerged Unit Weight and Shear Stress

z = \frac{𝜏}{γ' \cdot \cos ((i)) \cdot \sin ((i))}

How to Evaluate Submerged Unit Weight given Shear Stress Component?

Submerged Unit Weight given Shear Stress Component evaluator uses Submerged Unit Weight = Shear Stress for Submerged Slopes/(Depth of Prism*cos((Angle of Inclination to Horizontal in Soil))*sin((Angle of Inclination to Horizontal in Soil))) to evaluate the Submerged Unit Weight, The Submerged Unit Weight given Shear Stress Component is defined as the force exerted per unit volume of submerged material, influencing the shear stress component in fluids. Submerged Unit Weight is denoted by γ^' symbol.

How to evaluate Submerged Unit Weight given Shear Stress Component using this online evaluator? To use this online evaluator for Submerged Unit Weight given Shear Stress Component, enter Shear Stress for Submerged Slopes (𝜏), Depth of Prism (z) & Angle of Inclination to Horizontal in Soil (i) and hit the calculate button.

FAQs on Submerged Unit Weight given Shear Stress Component

What is the formula to find Submerged Unit Weight given Shear Stress Component?

The formula of Submerged Unit Weight given Shear Stress Component is expressed as Submerged Unit Weight = Shear Stress for Submerged Slopes/(Depth of Prism*cos((Angle of Inclination to Horizontal in Soil))*sin((Angle of Inclination to Horizontal in Soil))). Here is an example- 4.991472 = 5.9/(3*cos((1.11701072127616))*sin((1.11701072127616))).

How to calculate Submerged Unit Weight given Shear Stress Component?

With Shear Stress for Submerged Slopes (𝜏), Depth of Prism (z) & Angle of Inclination to Horizontal in Soil (i) we can find Submerged Unit Weight given Shear Stress Component using the formula - Submerged Unit Weight = Shear Stress for Submerged Slopes/(Depth of Prism*cos((Angle of Inclination to Horizontal in Soil))*sin((Angle of Inclination to Horizontal in Soil))). This formula also uses Sine (sin), Cosine (cos) function(s).

What are the other ways to Calculate Submerged Unit Weight?

Here are the different ways to Calculate Submerged Unit Weight-

Submerged Unit Weight=Normal Stress/(Depth of Prism*(cos((Angle of Inclination to Horizontal in Soil)))^2)
Submerged Unit Weight=(Cohesion of Soil/((Factor of Safety-(tan((Angle of Internal Friction))/tan((Angle of Inclination to Horizontal in Soil))))*Depth of Prism*cos((Angle of Inclination to Horizontal in Soil))*sin((Angle of Inclination to Horizontal in Soil))))
Submerged Unit Weight=(Cohesion of Soil*(sec((Angle of Inclination to Horizontal in Soil)))^2)/(Critical Depth*(tan((Angle of Inclination to Horizontal in Soil))-tan((Angle of Internal Friction))))

Can the Submerged Unit Weight given Shear Stress Component be negative?

No, the Submerged Unit Weight given Shear Stress Component, measured in Specific Weight cannot be negative.

Which unit is used to measure Submerged Unit Weight given Shear Stress Component?

Submerged Unit Weight given Shear Stress Component 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 Shear Stress Component can be measured.

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Submerged Unit Weight given Shear Stress Component Formula

​GoSubmerged Unit Weight given Normal Stress Component Formula

​GoSubmerged Unit Weight given Factor of Safety for Cohesive Soil Formula

Submerged Unit Weight given Shear Stress Component Example

Submerged Unit Weight given Shear Stress Component Solution

Submerged Unit Weight given Shear Stress Component Formula Elements

Other Formulas to find Submerged Unit Weight

Other formulas in Stability Analysis of Submerged Slopes category

How to Evaluate Submerged Unit Weight given Shear Stress Component?

FAQs on Submerged Unit Weight given Shear Stress Component

Variable Name

GoSubmerged Unit Weight given Normal Stress Component Formula

GoSubmerged Unit Weight given Factor of Safety for Cohesive Soil Formula