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Vertical Stress on Prism given Saturated Unit Weight Formula

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

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

σ_zkp - Vertical Stress at a Point in Kilopascal?γ_saturated - Saturated Unit Weight of Soil?z - Depth of Prism?i - Angle of Inclination to Horizontal in Soil?π - Archimedes' constant?

Vertical Stress on Prism given Saturated Unit Weight Example

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Here is how the Vertical Stress on Prism given Saturated Unit Weight equation looks like with Values.

Here is how the Vertical Stress on Prism given Saturated Unit Weight equation looks like with Units.

Here is how the Vertical Stress on Prism given Saturated Unit Weight equation looks like.

35.6632 = (11.89 \cdot 3 \cdot \cos (\frac{64 \cdot 3.1416}{180}))

35.6632kPa = (11.89kN/m³ \cdot 3m \cdot \cos (\frac{64° \cdot 3.1416}{180}))

35.6632 = (11.89 \cdot 3 \cdot \cos (\frac{64 \cdot 3.1416}{180}))

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Vertical Stress on Prism given Saturated Unit Weight Solution

Follow our step by step solution on how to calculate Vertical Stress on Prism given Saturated Unit Weight?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

σ zkp = (11.89kN/m³ \cdot 3m \cdot \cos (\frac{64° \cdot π}{180}))

Next Step Substitute values of Constants

∴

σ zkp = (11.89kN/m³ \cdot 3m \cdot \cos (\frac{64° \cdot 3.1416}{180}))

Next Step Convert Units

∴

σ zkp = (11890N/m³ \cdot 3m \cdot \cos (\frac{1.117rad \cdot 3.1416}{180}))

Next Step Prepare to Evaluate

∴

σ zkp = (11890 \cdot 3 \cdot \cos (\frac{1.117 \cdot 3.1416}{180}))

Next Step Evaluate

∴

σ zkp = 35663.2215752898Pa

Next Step Convert to Output's Unit

∴

σ zkp = 35.6632215752898kPa

LAST Step Rounding Answer

∴

σ zkp = 35.6632kPa

Vertical Stress on Prism given Saturated Unit Weight Formula Elements

Variables

Constants

Functions

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

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

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 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 Normal Stress Component given Saturated Unit Weight

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

Go Shear Stress Component given Saturated Unit Weight

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

How to Evaluate Vertical Stress on Prism given Saturated Unit Weight?

Vertical Stress on Prism given Saturated Unit Weight evaluator uses Vertical Stress at a Point in Kilopascal = (Saturated Unit Weight of Soil*Depth of Prism*cos((Angle of Inclination to Horizontal in Soil*pi)/180)) to evaluate the Vertical Stress at a Point in Kilopascal, The Vertical Stress on Prism given Saturated Unit Weight is defined as the value of vertical stress on prism when we have prior information of other parameters used. Vertical Stress at a Point in Kilopascal is denoted by σ_zkp symbol.

How to evaluate Vertical Stress on Prism given Saturated Unit Weight using this online evaluator? To use this online evaluator for Vertical Stress on Prism 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 Vertical Stress on Prism given Saturated Unit Weight

What is the formula to find Vertical Stress on Prism given Saturated Unit Weight?

The formula of Vertical Stress on Prism given Saturated Unit Weight is expressed as Vertical Stress at a Point in Kilopascal = (Saturated Unit Weight of Soil*Depth of Prism*cos((Angle of Inclination to Horizontal in Soil*pi)/180)). Here is an example- 0.035663 = (11890*3*cos((1.11701072127616*pi)/180)).

How to calculate Vertical Stress on Prism 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 Vertical Stress on Prism given Saturated Unit Weight using the formula - Vertical Stress at a Point in Kilopascal = (Saturated Unit Weight of Soil*Depth of Prism*cos((Angle of Inclination to Horizontal in Soil*pi)/180)). This formula also uses Archimedes' constant and Cosine function(s).

Can the Vertical Stress on Prism given Saturated Unit Weight be negative?

No, the Vertical Stress on Prism given Saturated Unit Weight, measured in Pressure cannot be negative.

Which unit is used to measure Vertical Stress on Prism given Saturated Unit Weight?

Vertical Stress on Prism given Saturated Unit Weight is usually measured using the Kilopascal[kPa] for Pressure. Pascal[kPa], Bar[kPa], Pound Per Square Inch[kPa] are the few other units in which Vertical Stress on Prism given Saturated Unit Weight can be measured.

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Vertical Stress on Prism given Saturated Unit Weight Formula

Vertical Stress on Prism given Saturated Unit Weight Example

Vertical Stress on Prism given Saturated Unit Weight Solution

Vertical Stress on Prism given Saturated Unit Weight Formula Elements

Other formulas in Steady State Seepage Analysis Along The Slopes category

How to Evaluate Vertical Stress on Prism given Saturated Unit Weight?

FAQs on Vertical Stress on Prism given Saturated Unit Weight

Variable Name