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Weight of Soil Prism given Saturated Unit Weight Formula

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

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

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

Weight of Soil Prism given Saturated Unit Weight Example

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

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

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

0.6776 = (11.89 \cdot 3 \cdot 0.019 \cdot \cos (\frac{64 \cdot 3.1416}{180}))

0.6776kN = (11.89kN/m³ \cdot 3m \cdot 0.019m \cdot \cos (\frac{64° \cdot 3.1416}{180}))

0.6776 = (11.89 \cdot 3 \cdot 0.019 \cdot \cos (\frac{64 \cdot 3.1416}{180}))

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Weight of Soil Prism given Saturated Unit Weight Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

W prism = (11.89kN/m³ \cdot 3m \cdot 0.019m \cdot \cos (\frac{64° \cdot π}{180}))

Next Step Substitute values of Constants

∴

W prism = (11.89kN/m³ \cdot 3m \cdot 0.019m \cdot \cos (\frac{64° \cdot 3.1416}{180}))

Next Step Convert Units

∴

W prism = (11890N/m³ \cdot 3m \cdot 0.019m \cdot \cos (\frac{1.117rad \cdot 3.1416}{180}))

Next Step Prepare to Evaluate

∴

W prism = (11890 \cdot 3 \cdot 0.019 \cdot \cos (\frac{1.117 \cdot 3.1416}{180}))

Next Step Evaluate

∴

W prism = 677.601209930507N

Next Step Convert to Output's Unit

∴

W prism = 0.677601209930507kN

LAST Step Rounding Answer

∴

W prism = 0.6776kN

Weight of Soil Prism given Saturated Unit Weight Formula Elements

Variables

Constants

Functions

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

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

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 Inclined Length of Prism given Saturated Unit Weight

b = \frac{W prism}{γ saturated \cdot z \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 Weight of Soil Prism given Saturated Unit Weight?

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

How to evaluate Weight of Soil Prism given Saturated Unit Weight using this online evaluator? To use this online evaluator for Weight of Soil Prism given Saturated Unit Weight, enter Saturated Unit Weight of Soil (γ_saturated), Depth of Prism (z), Inclined Length of Prism (b) & Angle of Inclination to Horizontal in Soil (i) and hit the calculate button.

FAQs on Weight of Soil Prism given Saturated Unit Weight

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

The formula of Weight of Soil Prism given Saturated Unit Weight is expressed as Weight of Prism in Soil Mechanics = (Saturated Unit Weight of Soil*Depth of Prism*Inclined Length of Prism*cos((Angle of Inclination to Horizontal in Soil*pi)/180)). Here is an example- 0.000678 = (11890*3*0.019*cos((1.11701072127616*pi)/180)).

How to calculate Weight of Soil Prism given Saturated Unit Weight?

With Saturated Unit Weight of Soil (γ_saturated), Depth of Prism (z), Inclined Length of Prism (b) & Angle of Inclination to Horizontal in Soil (i) we can find Weight of Soil Prism given Saturated Unit Weight using the formula - Weight of Prism in Soil Mechanics = (Saturated Unit Weight of Soil*Depth of Prism*Inclined Length 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 Weight of Soil Prism given Saturated Unit Weight be negative?

No, the Weight of Soil Prism given Saturated Unit Weight, measured in Force cannot be negative.

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

Weight of Soil Prism given Saturated Unit Weight is usually measured using the Kilonewton[kN] for Force. Newton[kN], Exanewton[kN], Meganewton[kN] are the few other units in which Weight of Soil Prism given Saturated Unit Weight can be measured.

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Weight of Soil Prism given Saturated Unit Weight Formula

Weight of Soil Prism given Saturated Unit Weight Example

Weight of Soil Prism given Saturated Unit Weight Solution

Weight of Soil Prism given Saturated Unit Weight Formula Elements

Other formulas in Steady State Seepage Analysis Along The Slopes category

How to Evaluate Weight of Soil Prism given Saturated Unit Weight?

FAQs on Weight of Soil Prism given Saturated Unit Weight

Variable Name