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Inclined Length of Prism given Saturated Unit Weight Formula

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Inclined Length of Prism is length of prism along the slope. Check FAQs

b = \frac{W prism}{γ saturated \cdot z \cdot \cos (\frac{i \cdot π}{180})}

b - Inclined Length of Prism?W_prism - Weight of Prism in Soil Mechanics?γ_saturated - Saturated Unit Weight of Soil?z - Depth of Prism?i - Angle of Inclination to Horizontal in Soil?π - Archimedes' constant?

Inclined Length of Prism given Saturated Unit Weight Example

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Here is how the Inclined Length of Prism given Saturated Unit Weight equation looks like with Values.

Here is how the Inclined Length of Prism given Saturated Unit Weight equation looks like with Units.

Here is how the Inclined Length of Prism given Saturated Unit Weight equation looks like.

0.0174 = \frac{0.62}{11.89 \cdot 3 \cdot \cos (\frac{64 \cdot 3.1416}{180})}

0.0174m = \frac{0.62kN}{11.89kN/m³ \cdot 3m \cdot \cos (\frac{64° \cdot 3.1416}{180})}

0.0174 = \frac{0.62}{11.89 \cdot 3 \cdot \cos (\frac{64 \cdot 3.1416}{180})}

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Inclined Length of Prism given Saturated Unit Weight Solution

Follow our step by step solution on how to calculate Inclined Length of Prism given Saturated Unit Weight?

FIRST Step Consider the formula

b = \frac{W prism}{γ saturated \cdot z \cdot \cos (\frac{i \cdot π}{180})}

Next Step Substitute values of Variables

∴

b = \frac{0.62kN}{11.89kN/m³ \cdot 3m \cdot \cos (\frac{64° \cdot π}{180})}

Next Step Substitute values of Constants

∴

b = \frac{0.62kN}{11.89kN/m³ \cdot 3m \cdot \cos (\frac{64° \cdot 3.1416}{180})}

Next Step Convert Units

∴

b = \frac{620N}{11890N/m³ \cdot 3m \cdot \cos (\frac{1.117rad \cdot 3.1416}{180})}

Next Step Prepare to Evaluate

∴

b = \frac{620}{11890 \cdot 3 \cdot \cos (\frac{1.117 \cdot 3.1416}{180})}

Next Step Evaluate

∴

b = 0.0173848567968291m

LAST Step Rounding Answer

∴

b = 0.0174m

Inclined Length of Prism given Saturated Unit Weight Formula Elements

Variables

Constants

Functions

Inclined Length of Prism

Inclined Length of Prism is length of prism along the slope.

Symbol: b

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Inclined Length of Prism

Weight of Prism in Soil Mechanics

Weight of Prism in Soil Mechanics means the weight of soil prism.

Symbol: W_prism

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Weight of Prism in Soil Mechanics

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 Vertical Stress on Prism given Saturated Unit Weight

σ zkp = (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 Inclined Length of Prism given Saturated Unit Weight?

Inclined Length of Prism given Saturated Unit Weight evaluator uses Inclined Length of Prism = Weight of Prism in Soil Mechanics/(Saturated Unit Weight of Soil*Depth of Prism*cos((Angle of Inclination to Horizontal in Soil*pi)/180)) to evaluate the Inclined Length of Prism, The Inclined Length of Prism given Saturated Unit Weight is defined as the value of inclined length when we have prior information of other parameters used. Inclined Length of Prism is denoted by b symbol.

How to evaluate Inclined Length of Prism given Saturated Unit Weight using this online evaluator? To use this online evaluator for Inclined Length of Prism given Saturated Unit Weight, enter Weight of Prism in Soil Mechanics (W_prism), 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 Inclined Length of Prism given Saturated Unit Weight

What is the formula to find Inclined Length of Prism given Saturated Unit Weight?

The formula of Inclined Length of Prism given Saturated Unit Weight is expressed as Inclined Length of Prism = Weight of Prism in Soil Mechanics/(Saturated Unit Weight of Soil*Depth of Prism*cos((Angle of Inclination to Horizontal in Soil*pi)/180)). Here is an example- 0.017385 = 620/(11890*3*cos((1.11701072127616*pi)/180)).

How to calculate Inclined Length of Prism given Saturated Unit Weight?

With Weight of Prism in Soil Mechanics (W_prism), Saturated Unit Weight of Soil (γ_saturated), Depth of Prism (z) & Angle of Inclination to Horizontal in Soil (i) we can find Inclined Length of Prism given Saturated Unit Weight using the formula - Inclined Length of Prism = Weight of Prism in Soil Mechanics/(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 (cos) function(s).

Can the Inclined Length of Prism given Saturated Unit Weight be negative?

No, the Inclined Length of Prism given Saturated Unit Weight, measured in Length cannot be negative.

Which unit is used to measure Inclined Length of Prism given Saturated Unit Weight?

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

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Inclined Length of Prism given Saturated Unit Weight Formula

Inclined Length of Prism given Saturated Unit Weight Example

Inclined Length of Prism given Saturated Unit Weight Solution

Inclined Length of Prism given Saturated Unit Weight Formula Elements

Other formulas in Steady State Seepage Analysis Along The Slopes category

How to Evaluate Inclined Length of Prism given Saturated Unit Weight?

FAQs on Inclined Length of Prism given Saturated Unit Weight

Variable Name