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Shear Stress Component given Submerged Unit Weight Formula

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

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

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

Shear Stress Component given Submerged Unit Weight Example

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

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

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

5.9219 = (5.01 \cdot 3 \cdot \cos ((64)) \cdot \sin ((64)))

5.9219Pa = (5.01N/m³ \cdot 3m \cdot \cos ((64°)) \cdot \sin ((64°)))

5.9219 = (5.01 \cdot 3 \cdot \cos ((64)) \cdot \sin ((64)))

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Shear Stress Component given Submerged Unit Weight Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

𝜏 = (5.01N/m³ \cdot 3m \cdot \cos ((64°)) \cdot \sin ((64°)))

Next Step Convert Units

∴

𝜏 = (5.01N/m³ \cdot 3m \cdot \cos ((1.117rad)) \cdot \sin ((1.117rad)))

Next Step Prepare to Evaluate

∴

𝜏 = (5.01 \cdot 3 \cdot \cos ((1.117)) \cdot \sin ((1.117)))

Next Step Evaluate

∴

𝜏 = 5.92190081335647Pa

LAST Step Rounding Answer

∴

𝜏 = 5.9219Pa

Shear Stress Component given Submerged Unit Weight Formula Elements

Variables

Functions

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

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

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 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 Submerged Unit Weight given Normal Stress Component

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

Go Depth of Prism given Submerged Unit Weight

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

Go Submerged Unit Weight given Shear Stress Component

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

How to Evaluate Shear Stress Component given Submerged Unit Weight?

Shear Stress Component given Submerged Unit Weight evaluator uses Shear Stress for Submerged Slopes = (Submerged Unit Weight*Depth of Prism*cos((Angle of Inclination to Horizontal in Soil))*sin((Angle of Inclination to Horizontal in Soil))) to evaluate the Shear Stress for Submerged Slopes, The Shear Stress Component given Submerged Unit Weight is defined as the force per unit volume acting vertically; shear stress component is its horizontal counterpart in soil mechanics. Shear Stress for Submerged Slopes is denoted by 𝜏 symbol.

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

FAQs on Shear Stress Component given Submerged Unit Weight

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

The formula of Shear Stress Component given Submerged Unit Weight is expressed as Shear Stress for Submerged Slopes = (Submerged Unit Weight*Depth of Prism*cos((Angle of Inclination to Horizontal in Soil))*sin((Angle of Inclination to Horizontal in Soil))). Here is an example- 5.910081 = (5.01*3*cos((1.11701072127616))*sin((1.11701072127616))).

How to calculate Shear Stress Component given Submerged Unit Weight?

With Submerged Unit Weight (γ^'), Depth of Prism (z) & Angle of Inclination to Horizontal in Soil (i) we can find Shear Stress Component given Submerged Unit Weight using the formula - Shear Stress for Submerged Slopes = (Submerged Unit Weight*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).

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

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

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

Shear Stress Component given Submerged Unit Weight is usually measured using the Pascal[Pa] for Stress. Newton per Square Meter[Pa], Newton per Square Millimeter[Pa], Kilonewton per Square Meter[Pa] are the few other units in which Shear Stress Component given Submerged Unit Weight can be measured.

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Shear Stress Component given Submerged Unit Weight Formula

Shear Stress Component given Submerged Unit Weight Example

Shear Stress Component given Submerged Unit Weight Solution

Shear Stress Component given Submerged Unit Weight Formula Elements

Other formulas in Stability Analysis of Submerged Slopes category

How to Evaluate Shear Stress Component given Submerged Unit Weight?

FAQs on Shear Stress Component given Submerged Unit Weight

Variable Name