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Weight of Prism means the weight of soil prism. Check FAQs
W=(γ⋅z⋅b⋅cos((I)))
W - Weight of Prism?γ - Unit Weight of Soil?z - Depth of Prism?b - Inclined Length?I - Angle of Inclination?

Weight of Soil Prism in Stability Analysis Example

With values
With units
Only example

Here is how the Weight of Soil Prism in Stability Analysis equation looks like with Values.

Here is how the Weight of Soil Prism in Stability Analysis equation looks like with Units.

Here is how the Weight of Soil Prism in Stability Analysis equation looks like.

93.77Edit=(18Edit⋅3Edit⋅10Edit⋅cos((80Edit)))
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Weight of Soil Prism in Stability Analysis Solution

Follow our step by step solution on how to calculate Weight of Soil Prism in Stability Analysis?

FIRST Step Consider the formula
W=(γ⋅z⋅b⋅cos((I)))
Next Step Substitute values of Variables
∴ W=(18kN/m³⋅3m⋅10m⋅cos((80°)))
Next Step Convert Units
∴ W=(18kN/m³⋅3m⋅10m⋅cos((1.3963rad)))
Next Step Prepare to Evaluate
∴ W=(18⋅3⋅10⋅cos((1.3963)))
Next Step Evaluate
∴W=93.7700159402826kg
LAST Step Rounding Answer
∴W=93.77kg

Weight of Soil Prism in Stability Analysis Formula Elements

Variables
Functions
Weight of Prism
Weight of Prism means the weight of soil prism.
Symbol: W
Measurement: WeightUnit: kg
Note: Value should be greater than 0.
Formulas to find Weight of PrismOpen Variable
Unit Weight of Soil
Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil.
Symbol: γ
Measurement: Specific WeightUnit: kN/m³
Note: Value should be greater than 0.
Formulas to find Unit Weight of SoilOpen Variable
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 PrismOpen Variable
Inclined Length
Inclined Length of prism is along the slope.
Symbol: b
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Inclined LengthOpen Variable
Angle of Inclination
Angle of Inclination 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 InclinationOpen Variable
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 Weight of Prism

​Go Weight of Soil Prism given Vertical Stress on Surface of Prism
W=σvertical⋅b

Other formulas in Stability Analysis of Infinite Slopes in Prism category

​Go Unit Weight of Soil given Weight of Soil Prism
γ=Wz⋅b⋅cos((I))
​Go Inclined Length along Slope given Weight of Soil Prism
b=Wγ⋅z⋅cos((I))
​Go Depth of Prism given Weight of Soil Prism
z=Wγ⋅b⋅cos((I))
​Go Angle of Inclination given Weight of Soil Prism
I=acos(Wγ⋅z⋅b)

How to Evaluate Weight of Soil Prism in Stability Analysis?

Weight of Soil Prism in Stability Analysis evaluator uses Weight of Prism = (Unit Weight of Soil*Depth of Prism*Inclined Length*cos((Angle of Inclination))) to evaluate the Weight of Prism, The Weight of Soil Prism in Stability Analysis is defined as the total force exerted by a soil column on its base. Weight of Prism is denoted by W symbol.

How to evaluate Weight of Soil Prism in Stability Analysis using this online evaluator? To use this online evaluator for Weight of Soil Prism in Stability Analysis, enter Unit Weight of Soil (γ), Depth of Prism (z), Inclined Length (b) & Angle of Inclination (I) and hit the calculate button.

FAQs on Weight of Soil Prism in Stability Analysis

What is the formula to find Weight of Soil Prism in Stability Analysis?
The formula of Weight of Soil Prism in Stability Analysis is expressed as Weight of Prism = (Unit Weight of Soil*Depth of Prism*Inclined Length*cos((Angle of Inclination))). Here is an example- 93.77002 = (18000*3*10*cos((1.3962634015952))).
How to calculate Weight of Soil Prism in Stability Analysis?
With Unit Weight of Soil (γ), Depth of Prism (z), Inclined Length (b) & Angle of Inclination (I) we can find Weight of Soil Prism in Stability Analysis using the formula - Weight of Prism = (Unit Weight of Soil*Depth of Prism*Inclined Length*cos((Angle of Inclination))). This formula also uses Cosine (cos) function(s).
What are the other ways to Calculate Weight of Prism?
Here are the different ways to Calculate Weight of Prism-
  • Weight of Prism=Vertical Stress at a Point in Pascal*Inclined LengthOpenImg
Can the Weight of Soil Prism in Stability Analysis be negative?
No, the Weight of Soil Prism in Stability Analysis, measured in Weight cannot be negative.
Which unit is used to measure Weight of Soil Prism in Stability Analysis?
Weight of Soil Prism in Stability Analysis is usually measured using the Kilogram[kg] for Weight. Gram[kg], Milligram[kg], Ton (Metric)[kg] are the few other units in which Weight of Soil Prism in Stability Analysis can be measured.
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