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Shear Stress Component given Saturated Unit Weight Formula

GoShear Stress given Submerged Unit Weight Formula

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Shear Stress in Soil Mechanics is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress. Check FAQs

ζ soil = (γ saturated \cdot z \cdot \cos (\frac{i \cdot π}{180}) \cdot \sin (\frac{i \cdot π}{180}))

ζ_soil - Shear Stress in Soil Mechanics?γ_saturated - Saturated Unit Weight of Soil?z - Depth of Prism?i - Angle of Inclination to Horizontal in Soil?π - Archimedes' constant?

Shear Stress Component given Saturated Unit Weight Example

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

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

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

0.6952 = (11.89 \cdot 3 \cdot \cos (\frac{64 \cdot 3.1416}{180}) \cdot \sin (\frac{64 \cdot 3.1416}{180}))

0.6952kN/m² = (11.89kN/m³ \cdot 3m \cdot \cos (\frac{64° \cdot 3.1416}{180}) \cdot \sin (\frac{64° \cdot 3.1416}{180}))

0.6952 = (11.89 \cdot 3 \cdot \cos (\frac{64 \cdot 3.1416}{180}) \cdot \sin (\frac{64 \cdot 3.1416}{180}))

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Shear Stress Component given Saturated Unit Weight Solution

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

FIRST Step Consider the formula

ζ soil = (γ saturated \cdot z \cdot \cos (\frac{i \cdot π}{180}) \cdot \sin (\frac{i \cdot π}{180}))

Next Step Substitute values of Variables

∴

ζ soil = (11.89kN/m³ \cdot 3m \cdot \cos (\frac{64° \cdot π}{180}) \cdot \sin (\frac{64° \cdot π}{180}))

Next Step Substitute values of Constants

∴

ζ soil = (11.89kN/m³ \cdot 3m \cdot \cos (\frac{64° \cdot 3.1416}{180}) \cdot \sin (\frac{64° \cdot 3.1416}{180}))

Next Step Convert Units

∴

ζ soil = (11890N/m³ \cdot 3m \cdot \cos (\frac{1.117rad \cdot 3.1416}{180}) \cdot \sin (\frac{1.117rad \cdot 3.1416}{180}))

Next Step Prepare to Evaluate

∴

ζ soil = (11890 \cdot 3 \cdot \cos (\frac{1.117 \cdot 3.1416}{180}) \cdot \sin (\frac{1.117 \cdot 3.1416}{180}))

Next Step Evaluate

∴

ζ soil = 695.228824589117Pa

Next Step Convert to Output's Unit

∴

ζ soil = 0.695228824589118kN/m²

LAST Step Rounding Answer

∴

ζ soil = 0.6952kN/m²

Shear Stress Component given Saturated Unit Weight Formula Elements

Variables

Constants

Functions

Shear Stress in Soil Mechanics

Shear Stress in Soil Mechanics is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.

Symbol: ζ_soil

Measurement: StressUnit: kN/m²

Note: Value should be greater than 0.

Formulas to find Shear Stress in Soil Mechanics

Saturated Unit Weight of Soil

Saturated Unit Weight of Soil is the ratio of mass of saturated soil sample to total volume.

Symbol: γ_saturated

Measurement: Specific WeightUnit: kN/m³

Note: Value should be greater than 0.

Formulas to find Saturated Unit Weight of Soil

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

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

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 Shear Stress in Soil Mechanics

Go Shear Stress given Submerged Unit Weight

ζ soil = \frac{τ f}{\frac{y S \cdot \tan ((φ))}{γ saturated \cdot \tan ((i))}}

Other formulas in Steady State Seepage Analysis Along The Slopes category

Go Weight of Soil Prism given Saturated Unit Weight

W prism = (γ saturated \cdot z \cdot b \cdot \cos (\frac{i \cdot π}{180}))

Go Inclined Length of Prism given Saturated Unit Weight

b = \frac{W prism}{γ saturated \cdot z \cdot \cos (\frac{i \cdot π}{180})}

Go Vertical Stress on Prism given Saturated Unit Weight

σ zkp = (γ saturated \cdot z \cdot \cos (\frac{i \cdot π}{180}))

Go Normal Stress Component given Saturated Unit Weight

σ n = (γ saturated \cdot z \cdot {(\cos (\frac{i \cdot π}{180}))}^{2})

How to Evaluate Shear Stress Component given Saturated Unit Weight?

Shear Stress Component given Saturated Unit Weight evaluator uses Shear Stress in Soil Mechanics = (Saturated Unit Weight of Soil*Depth of Prism*cos((Angle of Inclination to Horizontal in Soil*pi)/180)*sin((Angle of Inclination to Horizontal in Soil*pi)/180)) to evaluate the Shear Stress in Soil Mechanics, The Shear Stress Component given Saturated Unit Weight is defined as the value of shear stress when we have prior information of other parameters used. Shear Stress in Soil Mechanics is denoted by ζ_soil symbol.

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

FAQs on Shear Stress Component given Saturated Unit Weight

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

The formula of Shear Stress Component given Saturated Unit Weight is expressed as Shear Stress in Soil Mechanics = (Saturated Unit Weight of Soil*Depth of Prism*cos((Angle of Inclination to Horizontal in Soil*pi)/180)*sin((Angle of Inclination to Horizontal in Soil*pi)/180)). Here is an example- 0.000695 = (11890*3*cos((1.11701072127616*pi)/180)*sin((1.11701072127616*pi)/180)).

How to calculate Shear Stress Component given Saturated Unit Weight?

With Saturated Unit Weight of Soil (γ_saturated), Depth of Prism (z) & Angle of Inclination to Horizontal in Soil (i) we can find Shear Stress Component given Saturated Unit Weight using the formula - Shear Stress in Soil Mechanics = (Saturated Unit Weight of Soil*Depth of Prism*cos((Angle of Inclination to Horizontal in Soil*pi)/180)*sin((Angle of Inclination to Horizontal in Soil*pi)/180)). This formula also uses Archimedes' constant and , Sine (sin), Cosine (cos) function(s).

What are the other ways to Calculate Shear Stress in Soil Mechanics?

Here are the different ways to Calculate Shear Stress in Soil Mechanics-

Shear Stress in Soil Mechanics=Shear Strength in KN per Cubic Meter/((Submerged Unit Weight in KN per Cubic Meter*tan((Angle of Internal Friction)))/(Saturated Unit Weight of Soil*tan((Angle of Inclination to Horizontal in Soil))))

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

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

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

Shear Stress Component given Saturated Unit Weight is usually measured using the Kilonewton per Square Meter[kN/m²] for Stress. Pascal[kN/m²], Newton per Square Meter[kN/m²], Newton per Square Millimeter[kN/m²] are the few other units in which Shear Stress Component given Saturated Unit Weight can be measured.

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Shear Stress Component given Saturated Unit Weight Formula

​GoShear Stress given Submerged Unit Weight Formula

Shear Stress Component given Saturated Unit Weight Example

Shear Stress Component given Saturated Unit Weight Solution

Shear Stress Component given Saturated Unit Weight Formula Elements

Other Formulas to find Shear Stress in Soil Mechanics

Other formulas in Steady State Seepage Analysis Along The Slopes category

How to Evaluate Shear Stress Component given Saturated Unit Weight?

FAQs on Shear Stress Component given Saturated Unit Weight

Variable Name

GoShear Stress given Submerged Unit Weight Formula