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Unit Weight of Soil given Weight of Wedge and Width of Footing Formula

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Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil. Check FAQs

γ = \frac{W we \cdot 4}{\tan ((φ)) \cdot {(B)}^{2}}

γ - Unit Weight of Soil?W_we - Weight of Wedge in Kilonewton?φ - Angle of Shearing Resistance?B - Width of Footing?

Unit Weight of Soil given Weight of Wedge and Width of Footing Example

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Here is how the Unit Weight of Soil given Weight of Wedge and Width of Footing equation looks like with Values.

Here is how the Unit Weight of Soil given Weight of Wedge and Width of Footing equation looks like with Units.

Here is how the Unit Weight of Soil given Weight of Wedge and Width of Footing equation looks like.

18.0083 = \frac{138.09 \cdot 4}{\tan ((82.57)) \cdot {(2)}^{2}}

18.0083kN/m³ = \frac{138.09kN \cdot 4}{\tan ((82.57°)) \cdot {(2m)}^{2}}

18.0083 = \frac{138.09 \cdot 4}{\tan ((82.57)) \cdot {(2)}^{2}}

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Unit Weight of Soil given Weight of Wedge and Width of Footing Solution

Follow our step by step solution on how to calculate Unit Weight of Soil given Weight of Wedge and Width of Footing?

FIRST Step Consider the formula

γ = \frac{W we \cdot 4}{\tan ((φ)) \cdot {(B)}^{2}}

Next Step Substitute values of Variables

∴

γ = \frac{138.09kN \cdot 4}{\tan ((82.57°)) \cdot {(2m)}^{2}}

Next Step Convert Units

∴

γ = \frac{138090N \cdot 4}{\tan ((1.4411rad)) \cdot {(2m)}^{2}}

Next Step Prepare to Evaluate

∴

γ = \frac{138090 \cdot 4}{\tan ((1.4411)) \cdot {(2)}^{2}}

Next Step Evaluate

∴

γ = 18008.2880223025N/m³

Next Step Convert to Output's Unit

∴

γ = 18.0082880223025kN/m³

LAST Step Rounding Answer

∴

γ = 18.0083kN/m³

Unit Weight of Soil given Weight of Wedge and Width of Footing Formula Elements

Variables

Functions

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

Weight of Wedge in Kilonewton

Weight of Wedge in Kilonewton is defined as the weight of total soil which is in the form of wedge in terms of Kilonewton.

Symbol: W_we

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Weight of Wedge in Kilonewton

Angle of Shearing Resistance

Angle of Shearing Resistance is known as a component of the shear strength of the soils which is basically frictional material and composed of individual particles.

Symbol: φ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Angle of Shearing Resistance

Width of Footing

Width of Footing is the shorter dimension of the footing.

Symbol: B

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Width of Footing

tan

The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle.

Syntax: tan(Angle)

Other formulas in Bearing Capacity of Soil by Terzaghi's Analysis category

Go Downward Force on Wedge

R v = q \cdot B + (\frac{γ \cdot B^{2} \cdot \tan (φ) \cdot (\frac{π}{180})}{4})

Go Width of Footing given Load Intensity

B = \frac{- q + \sqrt{{(q)}^{2} + R v \cdot γ \cdot \tan (φ)}}{\frac{γ \cdot \tan (φ)}{2}}

Go Weight of Wedge given Width of Footing

W we = \frac{\tan (φ) \cdot γ \cdot {(B)}^{2}}{4}

Go Width of Footing given Weight of Wedge

B = \sqrt{\frac{W \cdot 4}{\tan (\frac{φ \cdot π}{180}) \cdot γ}}

How to Evaluate Unit Weight of Soil given Weight of Wedge and Width of Footing?

Unit Weight of Soil given Weight of Wedge and Width of Footing evaluator uses Unit Weight of Soil = (Weight of Wedge in Kilonewton*4)/(tan((Angle of Shearing Resistance))*(Width of Footing)^2) to evaluate the Unit Weight of Soil, The Unit Weight of Soil given Weight of Wedge and Width of Footing formula is defined as the ratio of the total weight of soil to the total volume of soil, when we have prior information of weight of wedge and width of footing. Unit Weight of Soil is denoted by γ symbol.

How to evaluate Unit Weight of Soil given Weight of Wedge and Width of Footing using this online evaluator? To use this online evaluator for Unit Weight of Soil given Weight of Wedge and Width of Footing, enter Weight of Wedge in Kilonewton (W_we), Angle of Shearing Resistance (φ) & Width of Footing (B) and hit the calculate button.

FAQs on Unit Weight of Soil given Weight of Wedge and Width of Footing

What is the formula to find Unit Weight of Soil given Weight of Wedge and Width of Footing?

The formula of Unit Weight of Soil given Weight of Wedge and Width of Footing is expressed as Unit Weight of Soil = (Weight of Wedge in Kilonewton*4)/(tan((Angle of Shearing Resistance))*(Width of Footing)^2). Here is an example- 0.08893 = (138090*4)/(tan((1.44111836337145))*(2)^2).

How to calculate Unit Weight of Soil given Weight of Wedge and Width of Footing?

With Weight of Wedge in Kilonewton (W_we), Angle of Shearing Resistance (φ) & Width of Footing (B) we can find Unit Weight of Soil given Weight of Wedge and Width of Footing using the formula - Unit Weight of Soil = (Weight of Wedge in Kilonewton*4)/(tan((Angle of Shearing Resistance))*(Width of Footing)^2). This formula also uses Tangent (tan) function(s).

Can the Unit Weight of Soil given Weight of Wedge and Width of Footing be negative?

No, the Unit Weight of Soil given Weight of Wedge and Width of Footing, measured in Specific Weight cannot be negative.

Which unit is used to measure Unit Weight of Soil given Weight of Wedge and Width of Footing?

Unit Weight of Soil given Weight of Wedge and Width of Footing 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 Unit Weight of Soil given Weight of Wedge and Width of Footing can be measured.

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Unit Weight of Soil given Weight of Wedge and Width of Footing Formula

Unit Weight of Soil given Weight of Wedge and Width of Footing Example

Unit Weight of Soil given Weight of Wedge and Width of Footing Solution

Unit Weight of Soil given Weight of Wedge and Width of Footing Formula Elements

Other formulas in Bearing Capacity of Soil by Terzaghi's Analysis category

How to Evaluate Unit Weight of Soil given Weight of Wedge and Width of Footing?

FAQs on Unit Weight of Soil given Weight of Wedge and Width of Footing

Variable Name