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Weight of Soil on Wedge given Factor of Safety Formula

GoWeight of Soil on Wedge given Mobilized Shear Resistance of Soil Formula

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Weight of Body in Newtons is the force with which a body is pulled toward the earth. Check FAQs

W = \frac{c u \cdot L' \cdot d radial}{f s \cdot x'}

W - Weight of Body in Newtons?c_u - Unit Cohesion?L^' - Length of Slip Arc?d_radial - Radial Distance?f_s - Factor of Safety?x' - Distance between LOA and COR?

Weight of Soil on Wedge given Factor of Safety Example

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Here is how the Weight of Soil on Wedge given Factor of Safety equation looks like with Values.

Here is how the Weight of Soil on Wedge given Factor of Safety equation looks like with Units.

Here is how the Weight of Soil on Wedge given Factor of Safety equation looks like.

12.8576 = \frac{10 \cdot 3.0001 \cdot 1.5}{2.8 \cdot 1.25}

12.8576N = \frac{10Pa \cdot 3.0001m \cdot 1.5m}{2.8 \cdot 1.25m}

12.8576 = \frac{10 \cdot 3.0001 \cdot 1.5}{2.8 \cdot 1.25}

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Weight of Soil on Wedge given Factor of Safety Solution

Follow our step by step solution on how to calculate Weight of Soil on Wedge given Factor of Safety?

FIRST Step Consider the formula

W = \frac{c u \cdot L' \cdot d radial}{f s \cdot x'}

Next Step Substitute values of Variables

∴

W = \frac{10Pa \cdot 3.0001m \cdot 1.5m}{2.8 \cdot 1.25m}

Next Step Prepare to Evaluate

∴

W = \frac{10 \cdot 3.0001 \cdot 1.5}{2.8 \cdot 1.25}

Next Step Evaluate

∴

W = 12.8575714285714N

LAST Step Rounding Answer

∴

W = 12.8576N

Weight of Soil on Wedge given Factor of Safety Formula Elements

Variables

Weight of Body in Newtons

Weight of Body in Newtons is the force with which a body is pulled toward the earth.

Symbol: W

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Weight of Body in Newtons

Unit Cohesion

Unit Cohesion is the shear strength property of a soil that is solely attributed to cohesive forces between soil particles.

Symbol: c_u

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Unit Cohesion

Length of Slip Arc

Length of Slip Arc is the length of the arc formed by slip circle.

Symbol: L^'

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Slip Arc

Radial Distance

Radial Distance is defined as distance between whisker sensor's pivot point to whisker-object contact point.

Symbol: d_radial

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Radial Distance

Factor of Safety

Factor of Safety is a measure of the load-carrying capacity of a structure or material compared to the actual load or stress that is applied to it.

Symbol: f_s

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Factor of Safety

Distance between LOA and COR

Distance between LOA and COR is the distance between the line of action and the line passing through the center which is the perpendicular distance from a point to a line in a geometric configuration.

Symbol: x'

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Distance between LOA and COR

Other Formulas to find Weight of Body in Newtons

Go Weight of Soil on Wedge given Mobilized Shear Resistance of Soil

W = \frac{c m}{\frac{x' \cdot d radial}{L'}}

Other formulas in The Swedish Slip Circle Method category

Go Radial Distance from Center of Rotation given Length of Slip Arc

d radial = \frac{360 \cdot L'}{2 \cdot π \cdot δ \cdot (\frac{180}{π})}

Go Arc Angle given Length of Slip Arc

δ = \frac{360 \cdot L'}{2 \cdot π \cdot d radial} \cdot (\frac{π}{180})

Go Moment of Resistance given Factor of Safety

M r' = f s \cdot M D

Go Driving Moment given Factor of Safety

M D = \frac{M R}{f s}

How to Evaluate Weight of Soil on Wedge given Factor of Safety?

Weight of Soil on Wedge given Factor of Safety evaluator uses Weight of Body in Newtons = (Unit Cohesion*Length of Slip Arc*Radial Distance)/(Factor of Safety*Distance between LOA and COR) to evaluate the Weight of Body in Newtons, The Weight of Soil on Wedge given Factor of Safety formula is defined as the measure of the value of the vertical component of the soil mass acting on a potential failure wedge within a slope. This component contributes to the driving force that tends to cause slope instability or failure. Weight of Body in Newtons is denoted by W symbol.

How to evaluate Weight of Soil on Wedge given Factor of Safety using this online evaluator? To use this online evaluator for Weight of Soil on Wedge given Factor of Safety, enter Unit Cohesion (c_u), Length of Slip Arc (L^'), Radial Distance (d_radial), Factor of Safety (f_s) & Distance between LOA and COR (x') and hit the calculate button.

FAQs on Weight of Soil on Wedge given Factor of Safety

What is the formula to find Weight of Soil on Wedge given Factor of Safety?

The formula of Weight of Soil on Wedge given Factor of Safety is expressed as Weight of Body in Newtons = (Unit Cohesion*Length of Slip Arc*Radial Distance)/(Factor of Safety*Distance between LOA and COR). Here is an example- 7.971429 = (10*3.0001*1.5)/(2.8*1.25).

How to calculate Weight of Soil on Wedge given Factor of Safety?

With Unit Cohesion (c_u), Length of Slip Arc (L^'), Radial Distance (d_radial), Factor of Safety (f_s) & Distance between LOA and COR (x') we can find Weight of Soil on Wedge given Factor of Safety using the formula - Weight of Body in Newtons = (Unit Cohesion*Length of Slip Arc*Radial Distance)/(Factor of Safety*Distance between LOA and COR).

What are the other ways to Calculate Weight of Body in Newtons?

Here are the different ways to Calculate Weight of Body in Newtons-

Weight of Body in Newtons=Mobilized Shear Resistance of Soil/((Distance between LOA and COR*Radial Distance)/Length of Slip Arc)

Can the Weight of Soil on Wedge given Factor of Safety be negative?

No, the Weight of Soil on Wedge given Factor of Safety, measured in Force cannot be negative.

Which unit is used to measure Weight of Soil on Wedge given Factor of Safety?

Weight of Soil on Wedge given Factor of Safety is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Weight of Soil on Wedge given Factor of Safety can be measured.

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Weight of Soil on Wedge given Factor of Safety Formula

​GoWeight of Soil on Wedge given Mobilized Shear Resistance of Soil Formula

Weight of Soil on Wedge given Factor of Safety Example

Weight of Soil on Wedge given Factor of Safety Solution

Weight of Soil on Wedge given Factor of Safety Formula Elements

Other Formulas to find Weight of Body in Newtons

Other formulas in The Swedish Slip Circle Method category

How to Evaluate Weight of Soil on Wedge given Factor of Safety?

FAQs on Weight of Soil on Wedge given Factor of Safety

Variable Name

GoWeight of Soil on Wedge given Mobilized Shear Resistance of Soil Formula