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Resisting Moment given Radius of Slip Circle Formula

GoMoment of Resistance given Unit Cohesion Formula

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Resisting Moment is the moment (or torque) that counteracts the applied moment or load that tends to cause rotation or failure in a soil mass or structure. Check FAQs

M R = r \cdot ((c u \cdot L') + (ΣN \cdot \tan ((Φ i))))

M_R - Resisting Moment?r - Radius of Slip Circle?c_u - Unit Cohesion?L^' - Length of Slip Arc?ΣN - Sum of all Normal Component?Φ_i - Angle of Internal Friction of Soil?

Resisting Moment given Radius of Slip Circle Example

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Here is how the Resisting Moment given Radius of Slip Circle equation looks like with Values.

Here is how the Resisting Moment given Radius of Slip Circle equation looks like with Units.

Here is how the Resisting Moment given Radius of Slip Circle equation looks like.

42.0316 = 0.6 \cdot ((10 \cdot 3.0001) + (5.01 \cdot \tan ((82.87))))

42.0316kN*m = 0.6m \cdot ((10Pa \cdot 3.0001m) + (5.01N \cdot \tan ((82.87°))))

42.0316 = 0.6 \cdot ((10 \cdot 3.0001) + (5.01 \cdot \tan ((82.87))))

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Resisting Moment given Radius of Slip Circle Solution

Follow our step by step solution on how to calculate Resisting Moment given Radius of Slip Circle?

FIRST Step Consider the formula

M R = r \cdot ((c u \cdot L') + (ΣN \cdot \tan ((Φ i))))

Next Step Substitute values of Variables

∴

M R = 0.6m \cdot ((10Pa \cdot 3.0001m) + (5.01N \cdot \tan ((82.87°))))

Next Step Convert Units

∴

M R = 0.6m \cdot ((10Pa \cdot 3.0001m) + (5.01N \cdot \tan ((1.4464rad))))

Next Step Prepare to Evaluate

∴

M R = 0.6 \cdot ((10 \cdot 3.0001) + (5.01 \cdot \tan ((1.4464))))

Next Step Evaluate

∴

M R = 42031.6165766801N*m

Next Step Convert to Output's Unit

∴

M R = 42.0316165766801kN*m

LAST Step Rounding Answer

∴

M R = 42.0316kN*m

Resisting Moment given Radius of Slip Circle Formula Elements

Variables

Functions

Resisting Moment

Resisting Moment is the moment (or torque) that counteracts the applied moment or load that tends to cause rotation or failure in a soil mass or structure.

Symbol: M_R

Measurement: Moment of ForceUnit: kN*m

Note: Value should be greater than 0.

Formulas to find Resisting Moment

Radius of Slip Circle

Radius of Slip Circle is the distance between center and one point on slip circle.

Symbol: r

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Slip Circle

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

Sum of all Normal Component

Sum of all Normal Component means total normal force on slip circle.

Symbol: ΣN

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Sum of all Normal Component

Angle of Internal Friction of Soil

Angle of Internal Friction of Soil is a measure of the shear strength of soil due to friction.

Symbol: Φ_i

Measurement: AngleUnit: °

Note: Value should be between -180 to 180.

Formulas to find Angle of Internal Friction of Soil

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 to find Resisting Moment

Go Moment of Resistance given Unit Cohesion

M R = (c u \cdot L' \cdot d radial)

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 Resisting Moment given Radius of Slip Circle?

Resisting Moment given Radius of Slip Circle evaluator uses Resisting Moment = Radius of Slip Circle*((Unit Cohesion*Length of Slip Arc)+(Sum of all Normal Component*tan((Angle of Internal Friction of Soil)))) to evaluate the Resisting Moment, The Resisting Moment given Radius of Slip Circle formula is defined as the product of the radius of the slip circle and the resisting shear strength. Resisting Moment is denoted by M_R symbol.

How to evaluate Resisting Moment given Radius of Slip Circle using this online evaluator? To use this online evaluator for Resisting Moment given Radius of Slip Circle, enter Radius of Slip Circle (r), Unit Cohesion (c_u), Length of Slip Arc (L^'), Sum of all Normal Component (ΣN) & Angle of Internal Friction of Soil (Φ_i) and hit the calculate button.

FAQs on Resisting Moment given Radius of Slip Circle

What is the formula to find Resisting Moment given Radius of Slip Circle?

The formula of Resisting Moment given Radius of Slip Circle is expressed as Resisting Moment = Radius of Slip Circle*((Unit Cohesion*Length of Slip Arc)+(Sum of all Normal Component*tan((Angle of Internal Friction of Soil)))). Here is an example- 0.042032 = 0.6*((10*3.0001)+(5.01*tan((1.44635435112743)))).

How to calculate Resisting Moment given Radius of Slip Circle?

With Radius of Slip Circle (r), Unit Cohesion (c_u), Length of Slip Arc (L^'), Sum of all Normal Component (ΣN) & Angle of Internal Friction of Soil (Φ_i) we can find Resisting Moment given Radius of Slip Circle using the formula - Resisting Moment = Radius of Slip Circle*((Unit Cohesion*Length of Slip Arc)+(Sum of all Normal Component*tan((Angle of Internal Friction of Soil)))). This formula also uses Tangent (tan) function(s).

What are the other ways to Calculate Resisting Moment?

Here are the different ways to Calculate Resisting Moment-

Resisting Moment=(Unit Cohesion*Length of Slip Arc*Radial Distance)

Can the Resisting Moment given Radius of Slip Circle be negative?

No, the Resisting Moment given Radius of Slip Circle, measured in Moment of Force cannot be negative.

Which unit is used to measure Resisting Moment given Radius of Slip Circle?

Resisting Moment given Radius of Slip Circle is usually measured using the Kilonewton Meter[kN*m] for Moment of Force. Newton Meter[kN*m], Millinewton Meter[kN*m], Micronewton Meter[kN*m] are the few other units in which Resisting Moment given Radius of Slip Circle can be measured.

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Resisting Moment given Radius of Slip Circle Formula

​GoMoment of Resistance given Unit Cohesion Formula

Resisting Moment given Radius of Slip Circle Example

Resisting Moment given Radius of Slip Circle Solution

Resisting Moment given Radius of Slip Circle Formula Elements

Other Formulas to find Resisting Moment

Other formulas in The Swedish Slip Circle Method category

How to Evaluate Resisting Moment given Radius of Slip Circle?

FAQs on Resisting Moment given Radius of Slip Circle

Variable Name

GoMoment of Resistance given Unit Cohesion Formula