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Width of Footing given Weight of Wedge Formula

GoWidth of Footing given Load Intensity Formula

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Width of Footing is the shorter dimension of the footing. Check FAQs

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

B - Width of Footing?W - Weight of Wedge?φ - Angle of Shearing Resistance?γ - Unit Weight of Soil?π - Archimedes' constant?

Width of Footing given Weight of Wedge Example

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

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

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

0.2974 = \sqrt{\frac{10.01 \cdot 4}{\tan (\frac{82.57 \cdot 3.1416}{180}) \cdot 18}}

0.2974m = \sqrt{\frac{10.01kg \cdot 4}{\tan (\frac{82.57° \cdot 3.1416}{180}) \cdot 18kN/m³}}

0.2974 = \sqrt{\frac{10.01 \cdot 4}{\tan (\frac{82.57 \cdot 3.1416}{180}) \cdot 18}}

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Width of Footing given Weight of Wedge Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

B = \sqrt{\frac{10.01kg \cdot 4}{\tan (\frac{82.57° \cdot π}{180}) \cdot 18kN/m³}}

Next Step Substitute values of Constants

∴

B = \sqrt{\frac{10.01kg \cdot 4}{\tan (\frac{82.57° \cdot 3.1416}{180}) \cdot 18kN/m³}}

Next Step Convert Units

∴

B = \sqrt{\frac{10.01kg \cdot 4}{\tan (\frac{1.4411rad \cdot 3.1416}{180}) \cdot 18000N/m³}}

Next Step Prepare to Evaluate

∴

B = \sqrt{\frac{10.01 \cdot 4}{\tan (\frac{1.4411 \cdot 3.1416}{180}) \cdot 18000}}

Next Step Evaluate

∴

B = 0.297355840756556m

LAST Step Rounding Answer

∴

B = 0.2974m

Width of Footing given Weight of Wedge Formula Elements

Variables

Constants

Functions

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

Weight of Wedge

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

Symbol: W

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Weight of Wedge

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

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

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)

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Width of Footing

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}}

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 Weight of Wedge given Width of Footing

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

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 Angle of Shearing Resistance given Weight of Wedge

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

How to Evaluate Width of Footing given Weight of Wedge?

Width of Footing given Weight of Wedge evaluator uses Width of Footing = sqrt((Weight of Wedge*4)/(tan((Angle of Shearing Resistance*pi)/180)*Unit Weight of Soil)) to evaluate the Width of Footing, The Width of Footing given Weight of Wedge is defined as the shorter dimension of the footing, when we have prior information of weight of wedge and other parameters. Width of Footing is denoted by B symbol.

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

FAQs on Width of Footing given Weight of Wedge

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

The formula of Width of Footing given Weight of Wedge is expressed as Width of Footing = sqrt((Weight of Wedge*4)/(tan((Angle of Shearing Resistance*pi)/180)*Unit Weight of Soil)). Here is an example- 0.297356 = sqrt((10.01*4)/(tan((1.44111836337145*pi)/180)*18000)).

How to calculate Width of Footing given Weight of Wedge?

With Weight of Wedge (W), Angle of Shearing Resistance (φ) & Unit Weight of Soil (γ) we can find Width of Footing given Weight of Wedge using the formula - Width of Footing = sqrt((Weight of Wedge*4)/(tan((Angle of Shearing Resistance*pi)/180)*Unit Weight of Soil)). This formula also uses Archimedes' constant and , Tangent (tan), Square Root (sqrt) function(s).

What are the other ways to Calculate Width of Footing?

Here are the different ways to Calculate Width of Footing-

Width of Footing=(-Load Intensity+sqrt((Load Intensity)^2+Total Downward Force in Soil*Unit Weight of Soil*tan(Angle of Shearing Resistance)))/((Unit Weight of Soil*tan(Angle of Shearing Resistance))/2)

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

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

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

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

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Width of Footing given Weight of Wedge Formula

​GoWidth of Footing given Load Intensity Formula

Width of Footing given Weight of Wedge Example

Width of Footing given Weight of Wedge Solution

Width of Footing given Weight of Wedge Formula Elements

Other Formulas to find Width of Footing

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

How to Evaluate Width of Footing given Weight of Wedge?

FAQs on Width of Footing given Weight of Wedge

Variable Name

GoWidth of Footing given Load Intensity Formula