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Depth of Prism given Weight of Soil Prism Formula

GoDepth of Prism given Volume per Unit Length of Prism Formula

GoDepth of Prism given Vertical Stress on Surface of Prism Formula

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Depth of Prism is the length of prism along z direction. Check FAQs

z = \frac{W}{γ \cdot b \cdot \cos ((I))}

z - Depth of Prism?W - Weight of Prism?γ - Unit Weight of Soil?b - Inclined Length?I - Angle of Inclination?

Depth of Prism given Weight of Soil Prism Example

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With units

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Here is how the Depth of Prism given Weight of Soil Prism equation looks like with Values.

Here is how the Depth of Prism given Weight of Soil Prism equation looks like with Units.

Here is how the Depth of Prism given Weight of Soil Prism equation looks like.

3.1993 = \frac{100}{18 \cdot 10 \cdot \cos ((80))}

3.1993m = \frac{100kg}{18kN/m³ \cdot 10m \cdot \cos ((80°))}

3.1993 = \frac{100}{18 \cdot 10 \cdot \cos ((80))}

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Depth of Prism given Weight of Soil Prism Solution

Follow our step by step solution on how to calculate Depth of Prism given Weight of Soil Prism?

FIRST Step Consider the formula

z = \frac{W}{γ \cdot b \cdot \cos ((I))}

Next Step Substitute values of Variables

∴

z = \frac{100kg}{18kN/m³ \cdot 10m \cdot \cos ((80°))}

Next Step Convert Units

∴

z = \frac{100kg}{18kN/m³ \cdot 10m \cdot \cos ((1.3963rad))}

Next Step Prepare to Evaluate

∴

z = \frac{100}{18 \cdot 10 \cdot \cos ((1.3963))}

Next Step Evaluate

∴

z = 3.19931693507501m

LAST Step Rounding Answer

∴

z = 3.1993m

Depth of Prism given Weight of Soil Prism Formula Elements

Variables

Functions

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

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 Prism

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 Soil

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 Length

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 Inclination

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 Depth of Prism

Go Depth of Prism given Volume per Unit Length of Prism

z = \frac{V l}{b \cdot \cos ((I))}

Go Depth of Prism given Vertical Stress on Surface of Prism

z = \frac{σ vertical}{γ \cdot \cos ((I))}

Go Depth of Prism given Factor of Safety for Cohesive Soil

z = \frac{c u}{(f s - (\frac{\tan ((Φ i))}{\tan ((I))})) \cdot γ \cdot \cos ((I)) \cdot \sin ((I))}

Other formulas in Stability Analysis of Infinite Slopes in Prism category

Go Weight of Soil Prism in Stability Analysis

W = (γ \cdot z \cdot b \cdot \cos ((I)))

Go Unit Weight of Soil given Weight of Soil Prism

γ = \frac{W}{z \cdot b \cdot \cos ((I))}

Go Inclined Length along Slope given Weight of Soil Prism

b = \frac{W}{γ \cdot z \cdot \cos ((I))}

Go Angle of Inclination given Weight of Soil Prism

I = a \cos (\frac{W}{γ \cdot z \cdot b})

How to Evaluate Depth of Prism given Weight of Soil Prism?

Depth of Prism given Weight of Soil Prism evaluator uses Depth of Prism = Weight of Prism/(Unit Weight of Soil*Inclined Length*cos((Angle of Inclination))) to evaluate the Depth of Prism, The Depth of Prism given Weight of Soil Prism is defined as the value of depth of prism when we have prior information of other parameters used. Depth of Prism is denoted by z symbol.

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

FAQs on Depth of Prism given Weight of Soil Prism

What is the formula to find Depth of Prism given Weight of Soil Prism?

The formula of Depth of Prism given Weight of Soil Prism is expressed as Depth of Prism = Weight of Prism/(Unit Weight of Soil*Inclined Length*cos((Angle of Inclination))). Here is an example- 0.319932 = 100/(18000*10*cos((1.3962634015952))).

How to calculate Depth of Prism given Weight of Soil Prism?

With Weight of Prism (W), Unit Weight of Soil (γ), Inclined Length (b) & Angle of Inclination (I) we can find Depth of Prism given Weight of Soil Prism using the formula - Depth of Prism = Weight of Prism/(Unit Weight of Soil*Inclined Length*cos((Angle of Inclination))). This formula also uses Cosine (cos) function(s).

What are the other ways to Calculate Depth of Prism?

Here are the different ways to Calculate Depth of Prism-

Depth of Prism=Volume per unit length of prism/(Inclined Length*cos((Angle of Inclination)))
Depth of Prism=Vertical Stress at a Point in Pascal/(Unit Weight of Soil*cos((Angle of Inclination)))
Depth of Prism=Unit Cohesion/((Factor of Safety-(tan((Angle of Internal Friction of Soil))/tan((Angle of Inclination))))*Unit Weight of Soil*cos((Angle of Inclination))*sin((Angle of Inclination)))

Can the Depth of Prism given Weight of Soil Prism be negative?

No, the Depth of Prism given Weight of Soil Prism, measured in Length cannot be negative.

Which unit is used to measure Depth of Prism given Weight of Soil Prism?

Depth of Prism given Weight of Soil Prism is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Depth of Prism given Weight of Soil Prism can be measured.

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Depth of Prism given Weight of Soil Prism Formula

​GoDepth of Prism given Volume per Unit Length of Prism Formula

​GoDepth of Prism given Vertical Stress on Surface of Prism Formula

Depth of Prism given Weight of Soil Prism Example

Depth of Prism given Weight of Soil Prism Solution

Depth of Prism given Weight of Soil Prism Formula Elements

Other Formulas to find Depth of Prism

Other formulas in Stability Analysis of Infinite Slopes in Prism category

How to Evaluate Depth of Prism given Weight of Soil Prism?

FAQs on Depth of Prism given Weight of Soil Prism

Variable Name

GoDepth of Prism given Volume per Unit Length of Prism Formula

GoDepth of Prism given Vertical Stress on Surface of Prism Formula