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Downward Force on Wedge Formula

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

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

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

Downward Force on Wedge Example

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Here is how the Downward Force on Wedge equation looks like with Values.

Here is how the Downward Force on Wedge equation looks like with Units.

Here is how the Downward Force on Wedge equation looks like.

56.009 = 26.8 \cdot 2 + (\frac{18 \cdot 2^{2} \cdot \tan (82.57) \cdot (\frac{3.1416}{180})}{4})

56.009kN = 26.8kPa \cdot 2m + (\frac{18kN/m³ \cdot {2m}^{2} \cdot \tan (82.57°) \cdot (\frac{3.1416}{180})}{4})

56.009 = 26.8 \cdot 2 + (\frac{18 \cdot 2^{2} \cdot \tan (82.57) \cdot (\frac{3.1416}{180})}{4})

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Downward Force on Wedge Solution

Follow our step by step solution on how to calculate Downward Force on Wedge?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

R v = 26.8kPa \cdot 2m + (\frac{18kN/m³ \cdot {2m}^{2} \cdot \tan (82.57°) \cdot (\frac{π}{180})}{4})

Next Step Substitute values of Constants

∴

R v = 26.8kPa \cdot 2m + (\frac{18kN/m³ \cdot {2m}^{2} \cdot \tan (82.57°) \cdot (\frac{3.1416}{180})}{4})

Next Step Convert Units

∴

R v = 26800Pa \cdot 2m + (\frac{18000N/m³ \cdot {2m}^{2} \cdot \tan (1.4411rad) \cdot (\frac{3.1416}{180})}{4})

Next Step Prepare to Evaluate

∴

R v = 26800 \cdot 2 + (\frac{18000 \cdot 2^{2} \cdot \tan (1.4411) \cdot (\frac{3.1416}{180})}{4})

Next Step Evaluate

∴

R v = 56009.0159430866N

Next Step Convert to Output's Unit

∴

R v = 56.0090159430866kN

LAST Step Rounding Answer

∴

R v = 56.009kN

Downward Force on Wedge Formula Elements

Variables

Constants

Functions

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

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

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

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

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)

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

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 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 Downward Force on Wedge?

Downward Force on Wedge evaluator uses Total Downward Force in Soil = Load Intensity*Width of Footing+((Unit Weight of Soil*Width of Footing^2*tan(Angle of Shearing Resistance)*(pi/180))/4) to evaluate the Total Downward Force in Soil, The Downward Force on Wedge formula is defined as the value of downward force on wedge of soil considered when we have prior information of load intensity. Total Downward Force in Soil is denoted by R_v symbol.

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

FAQs on Downward Force on Wedge

What is the formula to find Downward Force on Wedge?

The formula of Downward Force on Wedge is expressed as Total Downward Force in Soil = Load Intensity*Width of Footing+((Unit Weight of Soil*Width of Footing^2*tan(Angle of Shearing Resistance)*(pi/180))/4). Here is an example- 0.024608 = 26800*2+((18000*2^2*tan(1.44111836337145)*(pi/180))/4).

How to calculate Downward Force on Wedge?

With Load Intensity (q), Width of Footing (B), Unit Weight of Soil (γ) & Angle of Shearing Resistance (φ) we can find Downward Force on Wedge using the formula - Total Downward Force in Soil = Load Intensity*Width of Footing+((Unit Weight of Soil*Width of Footing^2*tan(Angle of Shearing Resistance)*(pi/180))/4). This formula also uses Archimedes' constant and Tangent (tan) function(s).

Can the Downward Force on Wedge be negative?

No, the Downward Force on Wedge, measured in Force cannot be negative.

Which unit is used to measure Downward Force on Wedge?

Downward Force on Wedge is usually measured using the Kilonewton[kN] for Force. Newton[kN], Exanewton[kN], Meganewton[kN] are the few other units in which Downward Force on Wedge can be measured.

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Downward Force on Wedge Formula

Downward Force on Wedge Example

Downward Force on Wedge Solution

Downward Force on Wedge Formula Elements

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

How to Evaluate Downward Force on Wedge?

FAQs on Downward Force on Wedge

Variable Name