FormulaDen.com

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

Slope Angle given Shear Stress along Slip Plane Formula

GoSlope Angle given Shear Strength along Slip Plane Formula

Fx Copy

LaTeX Copy

Slope Angle in Soil Mechanics is defined as the angle measured between a horizontal plane at a given point on the land surface. Check FAQs

θ slope = a \sin (\frac{τ s}{W wedge})

θ_slope - Slope Angle in Soil Mechanics?τ _s - Average Shear Stress on Shear Plane in Soil Mech?W_wedge - Weight of Wedge in Newton?

Slope Angle given Shear Stress along Slip Plane Example

With values

With units

Only example

Here is how the Slope Angle given Shear Stress along Slip Plane equation looks like with Values.

Here is how the Slope Angle given Shear Stress along Slip Plane equation looks like with Units.

Here is how the Slope Angle given Shear Stress along Slip Plane equation looks like.

36.8163 = a \sin (\frac{160}{267})

36.8163° = a \sin (\frac{160N/m²}{267N})

36.8163 = a \sin (\frac{160}{267})

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 Slope Angle given Shear Stress along Slip Plane

Slope Angle given Shear Stress along Slip Plane Solution

Follow our step by step solution on how to calculate Slope Angle given Shear Stress along Slip Plane?

FIRST Step Consider the formula

θ slope = a \sin (\frac{τ s}{W wedge})

Next Step Substitute values of Variables

∴

θ slope = a \sin (\frac{160N/m²}{267N})

Next Step Convert Units

∴

θ slope = a \sin (\frac{160Pa}{267N})

Next Step Prepare to Evaluate

∴

θ slope = a \sin (\frac{160}{267})

Next Step Evaluate

∴

θ slope = 0.642565107605408rad

Next Step Convert to Output's Unit

∴

θ slope = 36.8162687281664°

LAST Step Rounding Answer

∴

θ slope = 36.8163°

Slope Angle given Shear Stress along Slip Plane Formula Elements

Variables

Functions

Slope Angle in Soil Mechanics

Slope Angle in Soil Mechanics is defined as the angle measured between a horizontal plane at a given point on the land surface.

Symbol: θ_slope

Measurement: AngleUnit: °

Note: Value should be between -45 to 180.

Formulas to find Slope Angle in Soil Mechanics

Average Shear Stress on Shear Plane in Soil Mech

Average Shear Stress on Shear Plane in Soil Mech is the ratio of shear force on the shear plane to the area of shear plane.

Symbol: τ _s

Measurement: PressureUnit: N/m²

Note: Value should be greater than 0.

Formulas to find Average Shear Stress on Shear Plane in Soil Mech

Weight of Wedge in Newton

Weight of Wedge in Newton is defined as the weight of total soil which is in the form of wedge.

Symbol: W_wedge

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Weight of Wedge in Newton

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

asin

The inverse sine function, is a trigonometric function that takes a ratio of two sides of a right triangle and outputs the angle opposite the side with the given ratio.

Syntax: asin(Number)

Other Formulas to find Slope Angle in Soil Mechanics

Go Slope Angle given Shear Strength along Slip Plane

θ slope = a \cos (\frac{ζ soil - (C s \cdot L)}{W wedge \cdot \tan (\frac{φ \cdot π}{180})})

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 Slope Angle given Shear Stress along Slip Plane?

Slope Angle given Shear Stress along Slip Plane evaluator uses Slope Angle in Soil Mechanics = asin(Average Shear Stress on Shear Plane in Soil Mech/Weight of Wedge in Newton) to evaluate the Slope Angle in Soil Mechanics, The Slope Angle given Shear Stress along Slip Plane is defined as the value of slope angle when we have prior information of other parameters used. Slope Angle in Soil Mechanics is denoted by θ_slope symbol.

How to evaluate Slope Angle given Shear Stress along Slip Plane using this online evaluator? To use this online evaluator for Slope Angle given Shear Stress along Slip Plane, enter Average Shear Stress on Shear Plane in Soil Mech (τ _s) & Weight of Wedge in Newton (W_wedge) and hit the calculate button.

FAQs on Slope Angle given Shear Stress along Slip Plane

What is the formula to find Slope Angle given Shear Stress along Slip Plane?

The formula of Slope Angle given Shear Stress along Slip Plane is expressed as Slope Angle in Soil Mechanics = asin(Average Shear Stress on Shear Plane in Soil Mech/Weight of Wedge in Newton). Here is an example- 2109.417 = asin(160/267).

How to calculate Slope Angle given Shear Stress along Slip Plane?

With Average Shear Stress on Shear Plane in Soil Mech (τ _s) & Weight of Wedge in Newton (W_wedge) we can find Slope Angle given Shear Stress along Slip Plane using the formula - Slope Angle in Soil Mechanics = asin(Average Shear Stress on Shear Plane in Soil Mech/Weight of Wedge in Newton). This formula also uses Sine (sin), Inverse Sine (asin) function(s).

What are the other ways to Calculate Slope Angle in Soil Mechanics?

Here are the different ways to Calculate Slope Angle in Soil Mechanics-

Slope Angle in Soil Mechanics=acos((Shear Strength-(Cohesion of Soil*Length of Slip Plane))/(Weight of Wedge in Newton*tan((Angle of Internal Friction*pi)/180)))

Can the Slope Angle given Shear Stress along Slip Plane be negative?

Yes, the Slope Angle given Shear Stress along Slip Plane, measured in Angle can be negative.

Which unit is used to measure Slope Angle given Shear Stress along Slip Plane?

Slope Angle given Shear Stress along Slip Plane is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Slope Angle given Shear Stress along Slip Plane can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!