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Angle of Inclination given Critical Slope Angle Formula

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Angle of Inclination to Horizontal in Soil is defined as the angle measured from the horizontal surface of the wall or any object. Check FAQs

i = (2 \cdot θ cr) - φ m

i - Angle of Inclination to Horizontal in Soil?θ_cr - Critical Slope Angle in Soil Mechanics?φ_m - Angle of Mobilized Friction?

Angle of Inclination given Critical Slope Angle Example

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Here is how the Angle of Inclination given Critical Slope Angle equation looks like with Values.

Here is how the Angle of Inclination given Critical Slope Angle equation looks like with Units.

Here is how the Angle of Inclination given Critical Slope Angle equation looks like.

64.2 = (2 \cdot 52.1) - 40

64.2° = (2 \cdot 52.1°) - 40°

64.2 = (2 \cdot 52.1) - 40

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Angle of Inclination given Critical Slope Angle Solution

Follow our step by step solution on how to calculate Angle of Inclination given Critical Slope Angle?

FIRST Step Consider the formula

i = (2 \cdot θ cr) - φ m

Next Step Substitute values of Variables

∴

i = (2 \cdot 52.1°) - 40°

Next Step Convert Units

∴

i = (2 \cdot 0.9093rad) - 0.6981rad

Next Step Prepare to Evaluate

∴

i = (2 \cdot 0.9093) - 0.6981

Next Step Evaluate

∴

i = 1.12050137978015rad

LAST Step Convert to Output's Unit

∴

i = 64.2°

Angle of Inclination given Critical Slope Angle Formula Elements

Variables

Angle of Inclination to Horizontal in Soil

Angle of Inclination to Horizontal in Soil is defined as the angle measured from the horizontal surface of the wall or any object.

Symbol: i

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Angle of Inclination to Horizontal in Soil

Critical Slope Angle in Soil Mechanics

Critical Slope Angle in Soil Mechanics is the angle formed by most dangerous plane.

Symbol: θ_cr

Measurement: AngleUnit: °

Note: Value should be between -180 to 180.

Formulas to find Critical Slope Angle in Soil Mechanics

Angle of Mobilized Friction

Angle of Mobilized Friction is the slope angle at which an object starts sliding due to applied force.

Symbol: φ_m

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Angle of Mobilized Friction

Other formulas in Slope Stability Analysis using Culman's Method category

Go Height of Wedge of Soil given Weight of Wedge

h = \frac{W we}{\frac{L \cdot γ}{2}}

Go Cohesive Force along Slip Plane

F c = c m \cdot L

Go Mobilized Cohesion given Cohesive Force along Slip Plane

c m = \frac{F c}{L}

Go Height of Wedge of Soil given Angle of Inclination and Slope angle

h = \frac{H \cdot \sin (\frac{(θ i - θ) \cdot π}{180})}{\sin (\frac{θ i \cdot π}{180})}

How to Evaluate Angle of Inclination given Critical Slope Angle?

Angle of Inclination given Critical Slope Angle evaluator uses Angle of Inclination to Horizontal in Soil = (2*Critical Slope Angle in Soil Mechanics)-Angle of Mobilized Friction to evaluate the Angle of Inclination to Horizontal in Soil, The Angle of Inclination given Critical Slope Angle is defined as the value of angle of inclination when we have prior information of other parameters used. Angle of Inclination to Horizontal in Soil is denoted by i symbol.

How to evaluate Angle of Inclination given Critical Slope Angle using this online evaluator? To use this online evaluator for Angle of Inclination given Critical Slope Angle, enter Critical Slope Angle in Soil Mechanics (θ_cr) & Angle of Mobilized Friction (φ_m) and hit the calculate button.

FAQs on Angle of Inclination given Critical Slope Angle

What is the formula to find Angle of Inclination given Critical Slope Angle?

The formula of Angle of Inclination given Critical Slope Angle is expressed as Angle of Inclination to Horizontal in Soil = (2*Critical Slope Angle in Soil Mechanics)-Angle of Mobilized Friction. Here is an example- 3678.389 = (2*0.909316540288875)-0.698131700797601.

How to calculate Angle of Inclination given Critical Slope Angle?

With Critical Slope Angle in Soil Mechanics (θ_cr) & Angle of Mobilized Friction (φ_m) we can find Angle of Inclination given Critical Slope Angle using the formula - Angle of Inclination to Horizontal in Soil = (2*Critical Slope Angle in Soil Mechanics)-Angle of Mobilized Friction.

Can the Angle of Inclination given Critical Slope Angle be negative?

No, the Angle of Inclination given Critical Slope Angle, measured in Angle cannot be negative.

Which unit is used to measure Angle of Inclination given Critical Slope Angle?

Angle of Inclination given Critical Slope Angle is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Angle of Inclination given Critical Slope Angle can be measured.

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Angle of Inclination given Critical Slope Angle Formula

Angle of Inclination given Critical Slope Angle Example

Angle of Inclination given Critical Slope Angle Solution

Angle of Inclination given Critical Slope Angle Formula Elements

Other formulas in Slope Stability Analysis using Culman's Method category

How to Evaluate Angle of Inclination given Critical Slope Angle?

FAQs on Angle of Inclination given Critical Slope Angle

Variable Name