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Weight of Wedge given Width of Footing Formula

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

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

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

Weight of Wedge given Width of Footing Example

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

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

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

138.0264 = \frac{\tan (82.57) \cdot 18 \cdot {(2)}^{2}}{4}

138.0264kN = \frac{\tan (82.57°) \cdot 18kN/m³ \cdot {(2m)}^{2}}{4}

138.0264 = \frac{\tan (82.57) \cdot 18 \cdot {(2)}^{2}}{4}

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Weight of Wedge given Width of Footing Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

W we = \frac{\tan (82.57°) \cdot 18kN/m³ \cdot {(2m)}^{2}}{4}

Next Step Convert Units

∴

W we = \frac{\tan (1.4411rad) \cdot 18000N/m³ \cdot {(2m)}^{2}}{4}

Next Step Prepare to Evaluate

∴

W we = \frac{\tan (1.4411) \cdot 18000 \cdot {(2)}^{2}}{4}

Next Step Evaluate

∴

W we = 138026.446318588N

Next Step Convert to Output's Unit

∴

W we = 138.026446318588kN

LAST Step Rounding Answer

∴

W we = 138.0264kN

Weight of Wedge given Width of Footing Formula Elements

Variables

Functions

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

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

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

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

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 Weight of Wedge given Width of Footing?

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

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

FAQs on Weight of Wedge given Width of Footing

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

The formula of Weight of Wedge given Width of Footing is expressed as Weight of Wedge in Kilonewton = (tan(Angle of Shearing Resistance)*Unit Weight of Soil*(Width of Footing)^2)/4. Here is an example- 0.02795 = (tan(1.44111836337145)*18000*(2)^2)/4.

How to calculate Weight of Wedge given Width of Footing?

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

Can the Weight of Wedge given Width of Footing be negative?

No, the Weight of Wedge given Width of Footing, measured in Force cannot be negative.

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

Weight of Wedge given Width of Footing is usually measured using the Kilonewton[kN] for Force. Newton[kN], Exanewton[kN], Meganewton[kN] are the few other units in which Weight of Wedge given Width of Footing can be measured.

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Weight of Wedge given Width of Footing Formula

Weight of Wedge given Width of Footing Example

Weight of Wedge given Width of Footing Solution

Weight of Wedge given Width of Footing Formula Elements

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

How to Evaluate Weight of Wedge given Width of Footing?

FAQs on Weight of Wedge given Width of Footing

Variable Name