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Shear Stress Component given Vertical Stress Formula

GoShear Stress Component given Unit Weight of Soil Formula

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Ultimate 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 = σ zkp \cdot \sin (\frac{i \cdot π}{180})

ζ - Ultimate Shear Stress in Soil Mechanics?σ_zkp - Vertical Stress at a Point in Kilopascal?i - Angle of Inclination to Horizontal in Soil?π - Archimedes' constant?

Shear Stress Component given Vertical Stress Example

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Here is how the Shear Stress Component given Vertical Stress equation looks like with Values.

Here is how the Shear Stress Component given Vertical Stress equation looks like with Units.

Here is how the Shear Stress Component given Vertical Stress equation looks like.

1.0332 = 53 \cdot \sin (\frac{64 \cdot 3.1416}{180})

1.0332kN/m² = 53kPa \cdot \sin (\frac{64° \cdot 3.1416}{180})

1.0332 = 53 \cdot \sin (\frac{64 \cdot 3.1416}{180})

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Shear Stress Component given Vertical Stress Solution

Follow our step by step solution on how to calculate Shear Stress Component given Vertical Stress?

FIRST Step Consider the formula

ζ = σ zkp \cdot \sin (\frac{i \cdot π}{180})

Next Step Substitute values of Variables

∴

ζ = 53kPa \cdot \sin (\frac{64° \cdot π}{180})

Next Step Substitute values of Constants

∴

ζ = 53kPa \cdot \sin (\frac{64° \cdot 3.1416}{180})

Next Step Convert Units

∴

ζ = 53000Pa \cdot \sin (\frac{1.117rad \cdot 3.1416}{180})

Next Step Prepare to Evaluate

∴

ζ = 53000 \cdot \sin (\frac{1.117 \cdot 3.1416}{180})

Next Step Evaluate

∴

ζ = 1033.19683628228Pa

Next Step Convert to Output's Unit

∴

ζ = 1.03319683628228kN/m²

LAST Step Rounding Answer

∴

ζ = 1.0332kN/m²

Shear Stress Component given Vertical Stress Formula Elements

Variables

Constants

Functions

Ultimate Shear Stress in Soil Mechanics

Ultimate 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

Measurement: PressureUnit: kN/m²

Note: Value should be greater than 0.

Formulas to find Ultimate Shear Stress in Soil Mechanics

Vertical Stress at a Point in Kilopascal

Vertical Stress at a Point in Kilopascal is the stress acting perpendicular to the surface in kilopascal.

Symbol: σ_zkp

Measurement: PressureUnit: kPa

Note: Value should be greater than 0.

Formulas to find Vertical Stress at a Point in Kilopascal

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)

Other Formulas to find Ultimate Shear Stress in Soil Mechanics

Go Shear Stress Component given Unit Weight of Soil

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

Other formulas in Shear Stress Component category

Go Angle of Inclination given Shear Stress Component

i = a \sin (\frac{τ u}{σ z})

Go Shear Strength of Soil given Factor of Safety

τ f = ζ \cdot f s

Go Settlement of Rectangular Spreader Mat

S mat = S plate \cdot {(B mat \cdot \frac{L mat}{{(D plate)}^{2}})}^{0.5}

How to Evaluate Shear Stress Component given Vertical Stress?

Shear Stress Component given Vertical Stress evaluator uses Ultimate Shear Stress in Soil Mechanics = Vertical Stress at a Point in Kilopascal*sin((Angle of Inclination to Horizontal in Soil*pi)/180) to evaluate the Ultimate Shear Stress in Soil Mechanics, The Shear Stress Component given Vertical Stress is defined as the value of shear stress component when we have prior information of other parameters used. Ultimate Shear Stress in Soil Mechanics is denoted by ζ symbol.

How to evaluate Shear Stress Component given Vertical Stress using this online evaluator? To use this online evaluator for Shear Stress Component given Vertical Stress, enter Vertical Stress at a Point in Kilopascal (σ_zkp) & Angle of Inclination to Horizontal in Soil (i) and hit the calculate button.

FAQs on Shear Stress Component given Vertical Stress

What is the formula to find Shear Stress Component given Vertical Stress?

The formula of Shear Stress Component given Vertical Stress is expressed as Ultimate Shear Stress in Soil Mechanics = Vertical Stress at a Point in Kilopascal*sin((Angle of Inclination to Horizontal in Soil*pi)/180). Here is an example- 0.001033 = 53000*sin((1.11701072127616*pi)/180).

How to calculate Shear Stress Component given Vertical Stress?

With Vertical Stress at a Point in Kilopascal (σ_zkp) & Angle of Inclination to Horizontal in Soil (i) we can find Shear Stress Component given Vertical Stress using the formula - Ultimate Shear Stress in Soil Mechanics = Vertical Stress at a Point in Kilopascal*sin((Angle of Inclination to Horizontal in Soil*pi)/180). This formula also uses Archimedes' constant and Sine (sin) function(s).

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

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

Ultimate Shear Stress in Soil Mechanics=(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))

Can the Shear Stress Component given Vertical Stress be negative?

No, the Shear Stress Component given Vertical Stress, measured in Pressure cannot be negative.

Which unit is used to measure Shear Stress Component given Vertical Stress?

Shear Stress Component given Vertical Stress is usually measured using the Kilonewton per Square Meter[kN/m²] for Pressure. Pascal[kN/m²], Kilopascal[kN/m²], Bar[kN/m²] are the few other units in which Shear Stress Component given Vertical Stress can be measured.

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Shear Stress Component given Vertical Stress Formula

​GoShear Stress Component given Unit Weight of Soil Formula

Shear Stress Component given Vertical Stress Example

Shear Stress Component given Vertical Stress Solution

Shear Stress Component given Vertical Stress Formula Elements

Other Formulas to find Ultimate Shear Stress in Soil Mechanics

Other formulas in Shear Stress Component category

How to Evaluate Shear Stress Component given Vertical Stress?

FAQs on Shear Stress Component given Vertical Stress

Variable Name

GoShear Stress Component given Unit Weight of Soil Formula