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Vertical Stress on Surface of Prism given Normal Stress Component 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 = \frac{σ n}{\cos (\frac{i \cdot π}{180})}

σ_zkp - Vertical Stress at a Point in Kilopascal?σ_n - Normal Stress in kp?i - Angle of Inclination to Horizontal in Soil?π - Archimedes' constant?

Vertical Stress on Surface of Prism given Normal Stress Component Example

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Here is how the Vertical Stress on Surface of Prism given Normal Stress Component equation looks like with Values.

Here is how the Vertical Stress on Surface of Prism given Normal Stress Component equation looks like with Units.

Here is how the Vertical Stress on Surface of Prism given Normal Stress Component equation looks like.

50.0095 = \frac{50}{\cos (\frac{64 \cdot 3.1416}{180})}

50.0095kPa = \frac{50kPa}{\cos (\frac{64° \cdot 3.1416}{180})}

50.0095 = \frac{50}{\cos (\frac{64 \cdot 3.1416}{180})}

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Vertical Stress on Surface of Prism given Normal Stress Component Solution

Follow our step by step solution on how to calculate Vertical Stress on Surface of Prism given Normal Stress Component?

FIRST Step Consider the formula

σ zkp = \frac{σ n}{\cos (\frac{i \cdot π}{180})}

Next Step Substitute values of Variables

∴

σ zkp = \frac{50kPa}{\cos (\frac{64° \cdot π}{180})}

Next Step Substitute values of Constants

∴

σ zkp = \frac{50kPa}{\cos (\frac{64° \cdot 3.1416}{180})}

Next Step Convert Units

∴

σ zkp = \frac{50000Pa}{\cos (\frac{1.117rad \cdot 3.1416}{180})}

Next Step Prepare to Evaluate

∴

σ zkp = \frac{50000}{\cos (\frac{1.117 \cdot 3.1416}{180})}

Next Step Evaluate

∴

σ zkp = 50009.5033824915Pa

Next Step Convert to Output's Unit

∴

σ zkp = 50.0095033824915kPa

LAST Step Rounding Answer

∴

σ zkp = 50.0095kPa

Vertical Stress on Surface of Prism given Normal Stress Component 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

Normal Stress in kp

Normal Stress in kp is defined as the stress produced by the perpendicular action of a force on a given area in kilopascal.

Symbol: σ_n

Measurement: PressureUnit: kPa

Note: Value should be greater than 0.

Formulas to find Normal Stress in kp

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 Normal Stress Component category

Go Normal Stress Component given Vertical Stress

σ n = σ zkp \cdot \cos (\frac{i \cdot π}{180})

Go Angle of Inclination given Normal Stress Component

i = a \cos (\frac{σ n}{σ zkp})

Go Normal Stress Component given Unit Weight of Soil

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

Go Unit Weight of Soil given Normal Stress Component

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

How to Evaluate Vertical Stress on Surface of Prism given Normal Stress Component?

Vertical Stress on Surface of Prism given Normal Stress Component evaluator uses Vertical Stress at a Point in Kilopascal = Normal Stress in kp/cos((Angle of Inclination to Horizontal in Soil*pi)/180) to evaluate the Vertical Stress at a Point in Kilopascal, The Vertical Stress on Surface of Prism given Normal Stress Component is defined as the value of vertical stress 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 Surface of Prism given Normal Stress Component using this online evaluator? To use this online evaluator for Vertical Stress on Surface of Prism given Normal Stress Component, enter Normal Stress in kp (σ_n) & Angle of Inclination to Horizontal in Soil (i) and hit the calculate button.

FAQs on Vertical Stress on Surface of Prism given Normal Stress Component

What is the formula to find Vertical Stress on Surface of Prism given Normal Stress Component?

The formula of Vertical Stress on Surface of Prism given Normal Stress Component is expressed as Vertical Stress at a Point in Kilopascal = Normal Stress in kp/cos((Angle of Inclination to Horizontal in Soil*pi)/180). Here is an example- 0.05301 = 50000/cos((1.11701072127616*pi)/180).

How to calculate Vertical Stress on Surface of Prism given Normal Stress Component?

With Normal Stress in kp (σ_n) & Angle of Inclination to Horizontal in Soil (i) we can find Vertical Stress on Surface of Prism given Normal Stress Component using the formula - Vertical Stress at a Point in Kilopascal = Normal Stress in kp/cos((Angle of Inclination to Horizontal in Soil*pi)/180). This formula also uses Archimedes' constant and Cosine (cos) function(s).

Can the Vertical Stress on Surface of Prism given Normal Stress Component be negative?

No, the Vertical Stress on Surface of Prism given Normal Stress Component, measured in Pressure cannot be negative.

Which unit is used to measure Vertical Stress on Surface of Prism given Normal Stress Component?

Vertical Stress on Surface of Prism given Normal Stress Component 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 Surface of Prism given Normal Stress Component can be measured.

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Vertical Stress on Surface of Prism given Normal Stress Component Formula

Vertical Stress on Surface of Prism given Normal Stress Component Example

Vertical Stress on Surface of Prism given Normal Stress Component Solution

Vertical Stress on Surface of Prism given Normal Stress Component Formula Elements

Other formulas in Normal Stress Component category

How to Evaluate Vertical Stress on Surface of Prism given Normal Stress Component?

FAQs on Vertical Stress on Surface of Prism given Normal Stress Component

Variable Name