FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Critical Slope Angle given Angle of Inclination Formula

Fx Copy

LaTeX Copy

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

θ cr = \frac{i + φ m}{2}

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

Critical Slope Angle given Angle of Inclination Example

With values

With units

Only example

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

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

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

52 = \frac{64 + 40}{2}

52° = \frac{64° + 40°}{2}

52 = \frac{64 + 40}{2}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Civil » Category

Geotechnical Engineering » fx Critical Slope Angle given Angle of Inclination

Critical Slope Angle given Angle of Inclination Solution

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

FIRST Step Consider the formula

θ cr = \frac{i + φ m}{2}

Next Step Substitute values of Variables

∴

θ cr = \frac{64° + 40°}{2}

Next Step Convert Units

∴

θ cr = \frac{1.117rad + 0.6981rad}{2}

Next Step Prepare to Evaluate

∴

θ cr = \frac{1.117 + 0.6981}{2}

Next Step Evaluate

∴

θ cr = 0.907571211036881rad

LAST Step Convert to Output's Unit

∴

θ cr = 52°

Critical Slope Angle given Angle of Inclination Formula Elements

Variables

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 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

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 Critical Slope Angle given Angle of Inclination?

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

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

FAQs on Critical Slope Angle given Angle of Inclination

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

The formula of Critical Slope Angle given Angle of Inclination is expressed as Critical Slope Angle in Soil Mechanics = (Angle of Inclination to Horizontal in Soil+Angle of Mobilized Friction)/2. Here is an example- 2979.381 = (1.11701072127616+0.698131700797601)/2.

How to calculate Critical Slope Angle given Angle of Inclination?

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

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

Yes, the Critical Slope Angle given Angle of Inclination, measured in Angle can be negative.

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

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

Let Others Know

✖

Facebook

Twitter

Copied!

Critical Slope Angle given Angle of Inclination Formula

Critical Slope Angle given Angle of Inclination Example

Critical Slope Angle given Angle of Inclination Solution

Critical Slope Angle given Angle of Inclination Formula Elements

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

How to Evaluate Critical Slope Angle given Angle of Inclination?

FAQs on Critical Slope Angle given Angle of Inclination

Variable Name