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Width of Footing given Load Intensity Formula

GoWidth of Footing given Weight of Wedge Formula

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

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

B - Width of Footing?q - Load Intensity?R_v - Total Downward Force in Soil?γ - Unit Weight of Soil?φ - Angle of Shearing Resistance?

Width of Footing given Load Intensity Example

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Here is how the Width of Footing given Load Intensity equation looks like with Values.

Here is how the Width of Footing given Load Intensity equation looks like with Units.

Here is how the Width of Footing given Load Intensity equation looks like.

0.9446 = \frac{- 26.8 + \sqrt{{(26.8)}^{2} + 56.109 \cdot 18 \cdot \tan (82.57)}}{\frac{18 \cdot \tan (82.57)}{2}}

0.9446m = \frac{- 26.8kPa + \sqrt{{(26.8kPa)}^{2} + 56.109kN \cdot 18kN/m³ \cdot \tan (82.57°)}}{\frac{18kN/m³ \cdot \tan (82.57°)}{2}}

0.9446 = \frac{- 26.8 + \sqrt{{(26.8)}^{2} + 56.109 \cdot 18 \cdot \tan (82.57)}}{\frac{18 \cdot \tan (82.57)}{2}}

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Width of Footing given Load Intensity Solution

Follow our step by step solution on how to calculate Width of Footing given Load Intensity?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

B = \frac{- 26.8kPa + \sqrt{{(26.8kPa)}^{2} + 56.109kN \cdot 18kN/m³ \cdot \tan (82.57°)}}{\frac{18kN/m³ \cdot \tan (82.57°)}{2}}

Next Step Convert Units

∴

B = \frac{- 26800Pa + \sqrt{{(26800Pa)}^{2} + 56109N \cdot 18000N/m³ \cdot \tan (1.4411rad)}}{\frac{18000N/m³ \cdot \tan (1.4411rad)}{2}}

Next Step Prepare to Evaluate

∴

B = \frac{- 26800 + \sqrt{{(26800)}^{2} + 56109 \cdot 18000 \cdot \tan (1.4411)}}{\frac{18000 \cdot \tan (1.4411)}{2}}

Next Step Evaluate

∴

B = 0.944649294411633m

LAST Step Rounding Answer

∴

B = 0.9446m

Width of Footing given Load Intensity Formula Elements

Variables

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

Load Intensity

Load Intensity is defined as load applied per unit area.

Symbol: q

Measurement: PressureUnit: kPa

Note: Value should be greater than 0.

Formulas to find Load Intensity

Total Downward Force in Soil

Total Downward Force in Soil is the net force on soil in the vertical direction.

Symbol: R_v

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Total Downward Force in Soil

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

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

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 Weight of Wedge

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

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 Load Intensity?

Width of Footing given Load Intensity evaluator uses 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) to evaluate the Width of Footing, The Width of Footing given Load Intensity is defined as the value of the width dimension of a footing, which is a structural element that transfers loads from a building or other structure to the ground. Width of Footing is denoted by B symbol.

How to evaluate Width of Footing given Load Intensity using this online evaluator? To use this online evaluator for Width of Footing given Load Intensity, enter Load Intensity (q), Total Downward Force in Soil (R_v), Unit Weight of Soil (γ) & Angle of Shearing Resistance (φ) and hit the calculate button.

FAQs on Width of Footing given Load Intensity

What is the formula to find Width of Footing given Load Intensity?

The formula of Width of Footing given Load Intensity is expressed as 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). Here is an example- 0.944649 = (-26800+sqrt((26800)^2+56109*18000*tan(1.44111836337145)))/((18000*tan(1.44111836337145))/2).

How to calculate Width of Footing given Load Intensity?

With Load Intensity (q), Total Downward Force in Soil (R_v), Unit Weight of Soil (γ) & Angle of Shearing Resistance (φ) we can find Width of Footing given Load Intensity using the formula - 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). This formula also uses 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=sqrt((Weight of Wedge*4)/(tan((Angle of Shearing Resistance*pi)/180)*Unit Weight of Soil))

Can the Width of Footing given Load Intensity be negative?

No, the Width of Footing given Load Intensity, measured in Length cannot be negative.

Which unit is used to measure Width of Footing given Load Intensity?

Width of Footing given Load Intensity 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 Load Intensity can be measured.

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Width of Footing given Load Intensity Formula

​GoWidth of Footing given Weight of Wedge Formula

Width of Footing given Load Intensity Example

Width of Footing given Load Intensity Solution

Width of Footing given Load Intensity 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 Load Intensity?

FAQs on Width of Footing given Load Intensity

Variable Name

GoWidth of Footing given Weight of Wedge Formula