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Saturated Unit Weight of Soil is the ratio of mass of saturated soil sample to total volume. Check FAQs
γsaturated=σzkpzcos(iπ180)
γsaturated - Saturated Unit Weight of Soil?σzkp - Vertical Stress at a Point in Kilopascal?z - Depth of Prism?i - Angle of Inclination to Horizontal in Soil?π - Archimedes' constant?

Saturated Unit Weight given Vertical Stress on Prism Example

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

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

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

17.67Edit=53Edit3Editcos(64Edit3.1416180)
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Saturated Unit Weight given Vertical Stress on Prism Solution

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

FIRST Step Consider the formula
γsaturated=σzkpzcos(iπ180)
Next Step Substitute values of Variables
γsaturated=53kPa3mcos(64°π180)
Next Step Substitute values of Constants
γsaturated=53kPa3mcos(64°3.1416180)
Next Step Convert Units
γsaturated=53000Pa3mcos(1.117rad3.1416180)
Next Step Prepare to Evaluate
γsaturated=530003cos(1.1173.1416180)
Next Step Evaluate
γsaturated=17670.0245284803N/m³
Next Step Convert to Output's Unit
γsaturated=17.6700245284803kN/m³
LAST Step Rounding Answer
γsaturated=17.67kN/m³

Saturated Unit Weight given Vertical Stress on Prism Formula Elements

Variables
Constants
Functions
Saturated Unit Weight of Soil
Saturated Unit Weight of Soil is the ratio of mass of saturated soil sample to total volume.
Symbol: γsaturated
Measurement: Specific WeightUnit: kN/m³
Note: Value should be greater than 0.
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: σzkp
Measurement: PressureUnit: kPa
Note: Value should be greater than 0.
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.
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.
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 to find Saturated Unit Weight of Soil

​Go Saturated Unit Weight given Weight of Soil Prism
γsaturated=Wprismzbcos(iπ180)
​Go Saturated Unit Weight given Normal Stress Component
γsaturated=σnz(cos(iπ180))2
​Go Saturated Unit Weight given Shear Stress Component
γsaturated=ζsoilzcos(iπ180)sin(iπ180)
​Go Saturated Unit Weight given Effective Normal Stress
γsaturated=γwater+(σ'z(cos(iπ180))2)

Other formulas in Factor of Steady Seepage Along the Slope category

​Go Depth of Prism given Saturated Unit Weight
z=Wprismγsatbcos(iπ180)
​Go Angle of Inclination given Saturated Unit Weight
i=acos(Wprismγzb)
​Go Depth of Prism given Vertical Stress and Saturated Unit Weight
z=σzkpγsaturatedcos(iπ180)
​Go Angle of Inclination given Vertical Stress and Saturated Unit Weight
i=acos(σzγz)

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

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

How to evaluate Saturated Unit Weight given Vertical Stress on Prism using this online evaluator? To use this online evaluator for Saturated Unit Weight given Vertical Stress on Prism, enter Vertical Stress at a Point in Kilopascal zkp), Depth of Prism (z) & Angle of Inclination to Horizontal in Soil (i) and hit the calculate button.

FAQs on Saturated Unit Weight given Vertical Stress on Prism

What is the formula to find Saturated Unit Weight given Vertical Stress on Prism?
The formula of Saturated Unit Weight given Vertical Stress on Prism is expressed as Saturated Unit Weight of Soil = Vertical Stress at a Point in Kilopascal/(Depth of Prism*cos((Angle of Inclination to Horizontal in Soil*pi)/180)). Here is an example- 0.01767 = 53000/(3*cos((1.11701072127616*pi)/180)).
How to calculate Saturated Unit Weight given Vertical Stress on Prism?
With Vertical Stress at a Point in Kilopascal zkp), Depth of Prism (z) & Angle of Inclination to Horizontal in Soil (i) we can find Saturated Unit Weight given Vertical Stress on Prism using the formula - Saturated Unit Weight of Soil = Vertical Stress at a Point in Kilopascal/(Depth of Prism*cos((Angle of Inclination to Horizontal in Soil*pi)/180)). This formula also uses Archimedes' constant and Cosine (cos) function(s).
What are the other ways to Calculate Saturated Unit Weight of Soil?
Here are the different ways to Calculate Saturated Unit Weight of Soil-
  • Saturated Unit Weight of Soil=Weight of Prism in Soil Mechanics/(Depth of Prism*Inclined Length of Prism*cos((Angle of Inclination to Horizontal in Soil*pi)/180))OpenImg
  • Saturated Unit Weight of Soil=Normal Stress in Soil Mechanics/(Depth of Prism*(cos((Angle of Inclination to Horizontal in Soil*pi)/180))^2)OpenImg
  • Saturated Unit Weight of Soil=Shear Stress in Soil Mechanics/(Depth of Prism*cos((Angle of Inclination to Horizontal in Soil*pi)/180)*sin((Angle of Inclination to Horizontal in Soil*pi)/180))OpenImg
Can the Saturated Unit Weight given Vertical Stress on Prism be negative?
No, the Saturated Unit Weight given Vertical Stress on Prism, measured in Specific Weight cannot be negative.
Which unit is used to measure Saturated Unit Weight given Vertical Stress on Prism?
Saturated Unit Weight given Vertical Stress on Prism is usually measured using the Kilonewton per Cubic Meter[kN/m³] for Specific Weight. Newton per Cubic Meter[kN/m³], Newton per Cubic Centimeter[kN/m³], Newton per Cubic Millimeter[kN/m³] are the few other units in which Saturated Unit Weight given Vertical Stress on Prism can be measured.
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