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Distance between Line of Action of Weight and Line Passing through Center Formula

GoDistance between Line of Action and Line Passing through Center given Driving Moment Formula

GoDistance between Line of Action and Line Passing through Center given Mobilized Cohesion Formula

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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. Check FAQs

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

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

Distance between Line of Action of Weight and Line Passing through Center Example

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Here is how the Distance between Line of Action of Weight and Line Passing through Center equation looks like with Values.

Here is how the Distance between Line of Action of Weight and Line Passing through Center equation looks like with Units.

Here is how the Distance between Line of Action of Weight and Line Passing through Center equation looks like.

2.009 = \frac{10 \cdot 3.0001 \cdot 1.5}{8 \cdot 2.8}

2.009m = \frac{10Pa \cdot 3.0001m \cdot 1.5m}{8N \cdot 2.8}

2.009 = \frac{10 \cdot 3.0001 \cdot 1.5}{8 \cdot 2.8}

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Distance between Line of Action of Weight and Line Passing through Center Solution

Follow our step by step solution on how to calculate Distance between Line of Action of Weight and Line Passing through Center?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

x' = \frac{10Pa \cdot 3.0001m \cdot 1.5m}{8N \cdot 2.8}

Next Step Prepare to Evaluate

∴

x' = \frac{10 \cdot 3.0001 \cdot 1.5}{8 \cdot 2.8}

Next Step Evaluate

∴

x' = 2.00899553571429m

LAST Step Rounding Answer

∴

x' = 2.009m

Distance between Line of Action of Weight and Line Passing through Center Formula Elements

Variables

Distance between LOA and COR

Symbol: x'

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Distance between LOA and COR

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

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

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

Other Formulas to find Distance between LOA and COR

Go Distance between Line of Action and Line Passing through Center given Driving Moment

x' = \frac{M D}{W}

Go Distance between Line of Action and Line Passing through Center given Mobilized Cohesion

x' = \frac{c m}{\frac{W \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 Distance between Line of Action of Weight and Line Passing through Center?

Distance between Line of Action of Weight and Line Passing through Center evaluator uses Distance between LOA and COR = (Unit Cohesion*Length of Slip Arc*Radial Distance)/(Weight of Body in Newtons*Factor of Safety) to evaluate the Distance between LOA and COR, The Distance between Line of Action of Weight and Line Passing through Center formula is defined as the horizontal distance between the line of action of the resultant vertical load (often due to the weight of a structure or soil mass) and the geometric center of the foundation or the centroid of the soil mass. Distance between LOA and COR is denoted by x' symbol.

How to evaluate Distance between Line of Action of Weight and Line Passing through Center using this online evaluator? To use this online evaluator for Distance between Line of Action of Weight and Line Passing through Center, enter Unit Cohesion (c_u), Length of Slip Arc (L^'), Radial Distance (d_radial), Weight of Body in Newtons (W) & Factor of Safety (f_s) and hit the calculate button.

FAQs on Distance between Line of Action of Weight and Line Passing through Center

What is the formula to find Distance between Line of Action of Weight and Line Passing through Center?

The formula of Distance between Line of Action of Weight and Line Passing through Center is expressed as Distance between LOA and COR = (Unit Cohesion*Length of Slip Arc*Radial Distance)/(Weight of Body in Newtons*Factor of Safety). Here is an example- 1.245536 = (10*3.0001*1.5)/(8*2.8).

How to calculate Distance between Line of Action of Weight and Line Passing through Center?

With Unit Cohesion (c_u), Length of Slip Arc (L^'), Radial Distance (d_radial), Weight of Body in Newtons (W) & Factor of Safety (f_s) we can find Distance between Line of Action of Weight and Line Passing through Center using the formula - Distance between LOA and COR = (Unit Cohesion*Length of Slip Arc*Radial Distance)/(Weight of Body in Newtons*Factor of Safety).

What are the other ways to Calculate Distance between LOA and COR?

Here are the different ways to Calculate Distance between LOA and COR-

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

Can the Distance between Line of Action of Weight and Line Passing through Center be negative?

No, the Distance between Line of Action of Weight and Line Passing through Center, measured in Length cannot be negative.

Which unit is used to measure Distance between Line of Action of Weight and Line Passing through Center?

Distance between Line of Action of Weight and Line Passing through Center is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Distance between Line of Action of Weight and Line Passing through Center can be measured.

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Distance between Line of Action of Weight and Line Passing through Center Formula

​GoDistance between Line of Action and Line Passing through Center given Driving Moment Formula

​GoDistance between Line of Action and Line Passing through Center given Mobilized Cohesion Formula

Distance between Line of Action of Weight and Line Passing through Center Example

Distance between Line of Action of Weight and Line Passing through Center Solution

Distance between Line of Action of Weight and Line Passing through Center Formula Elements

Other Formulas to find Distance between LOA and COR

Other formulas in The Swedish Slip Circle Method category

How to Evaluate Distance between Line of Action of Weight and Line Passing through Center?

FAQs on Distance between Line of Action of Weight and Line Passing through Center

Variable Name

GoDistance between Line of Action and Line Passing through Center given Driving Moment Formula

GoDistance between Line of Action and Line Passing through Center given Mobilized Cohesion Formula