FormulaDen.com

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

Normal Stress on Slice given Shear Strength Formula

GoNormal Stress on Slice Formula

Fx Copy

LaTeX Copy

Normal Stress in Pascal is defined as the stress produced by the perpendicular action of a force on a given area. Check FAQs

σ normal = (\frac{τ - c}{\tan (\frac{φ' \cdot π}{180})}) + u

σ_normal - Normal Stress in Pascal?τ - Shear Strength of Soil in Pascal?c - Cohesion in Soil?φ' - Effective Angle of Internal Friction?u - Upward Force?π - Archimedes' constant?

Normal Stress on Slice given Shear Strength Example

With values

With units

Only example

Here is how the Normal Stress on Slice given Shear Strength equation looks like with Values.

Here is how the Normal Stress on Slice given Shear Strength equation looks like with Units.

Here is how the Normal Stress on Slice given Shear Strength equation looks like.

23.2861 = (\frac{2.06 - 2.05}{\tan (\frac{9.99 \cdot 3.1416}{180})}) + 20

23.2861Pa = (\frac{2.06Pa - 2.05Pa}{\tan (\frac{9.99° \cdot 3.1416}{180})}) + 20Pa

23.2861 = (\frac{2.06 - 2.05}{\tan (\frac{9.99 \cdot 3.1416}{180})}) + 20

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 Normal Stress on Slice given Shear Strength

Normal Stress on Slice given Shear Strength Solution

Follow our step by step solution on how to calculate Normal Stress on Slice given Shear Strength?

FIRST Step Consider the formula

σ normal = (\frac{τ - c}{\tan (\frac{φ' \cdot π}{180})}) + u

Next Step Substitute values of Variables

∴

σ normal = (\frac{2.06Pa - 2.05Pa}{\tan (\frac{9.99° \cdot π}{180})}) + 20Pa

Next Step Substitute values of Constants

∴

σ normal = (\frac{2.06Pa - 2.05Pa}{\tan (\frac{9.99° \cdot 3.1416}{180})}) + 20Pa

Next Step Convert Units

∴

σ normal = (\frac{2.06Pa - 2.05Pa}{\tan (\frac{0.1744rad \cdot 3.1416}{180})}) + 20Pa

Next Step Prepare to Evaluate

∴

σ normal = (\frac{2.06 - 2.05}{\tan (\frac{0.1744 \cdot 3.1416}{180})}) + 20

Next Step Evaluate

∴

σ normal = 23.2860822986885Pa

LAST Step Rounding Answer

∴

σ normal = 23.2861Pa

Normal Stress on Slice given Shear Strength Formula Elements

Variables

Constants

Functions

Normal Stress in Pascal

Normal Stress in Pascal is defined as the stress produced by the perpendicular action of a force on a given area.

Symbol: σ_normal

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Normal Stress in Pascal

Shear Strength of Soil in Pascal

Shear Strength of Soil in Pascal is the strength of a material against the structural failure when the material fails in shear.

Symbol: τ

Measurement: StressUnit: Pa

Note: Value should be greater than 0.

Formulas to find Shear Strength of Soil in Pascal

Cohesion in Soil

Cohesion in Soil is the ability of like particles within soil to hold onto each other. It is the shear strength or force that binds together like particles in the structure of a soil.

Symbol: c

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Cohesion in Soil

Effective Angle of Internal Friction

Effective Angle of Internal Friction is a measure of the shear strength of soils due to friction.

Symbol: φ'

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Effective Angle of Internal Friction

Upward Force

Upward Force due to seepage water.

Symbol: u

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Upward Force

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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 Normal Stress in Pascal

Go Normal Stress on Slice

σ normal = \frac{P}{l}

Other formulas in Slope Stability Analysis using Bishops Method category

Go Length of Arc of Slice

l = \frac{P}{σ normal}

Go Effective Stress on Slice

σ' = (\frac{P}{l}) - ΣU

Go Length of Arc of Slice given Effective Stress

l = \frac{P}{σ' + ΣU}

Go Effective Cohesion of Soil given Normal Stress on Slice

c' = τ - ((σ normal - u) \cdot \tan (\frac{φ' \cdot π}{180}))

How to Evaluate Normal Stress on Slice given Shear Strength?

Normal Stress on Slice given Shear Strength evaluator uses Normal Stress in Pascal = ((Shear Strength of Soil in Pascal-Cohesion in Soil)/tan((Effective Angle of Internal Friction*pi)/180))+Upward Force to evaluate the Normal Stress in Pascal, The Normal Stress on Slice given Shear Strength is defined as the value of normal stress when we have prior information of other parameters used. Normal Stress in Pascal is denoted by σ_normal symbol.

How to evaluate Normal Stress on Slice given Shear Strength using this online evaluator? To use this online evaluator for Normal Stress on Slice given Shear Strength, enter Shear Strength of Soil in Pascal (τ), Cohesion in Soil (c), Effective Angle of Internal Friction (φ') & Upward Force (u) and hit the calculate button.

FAQs on Normal Stress on Slice given Shear Strength

What is the formula to find Normal Stress on Slice given Shear Strength?

The formula of Normal Stress on Slice given Shear Strength is expressed as Normal Stress in Pascal = ((Shear Strength of Soil in Pascal-Cohesion in Soil)/tan((Effective Angle of Internal Friction*pi)/180))+Upward Force. Here is an example- 23.28608 = ((2.06-2.05)/tan((0.174358392274201*pi)/180))+20.

How to calculate Normal Stress on Slice given Shear Strength?

With Shear Strength of Soil in Pascal (τ), Cohesion in Soil (c), Effective Angle of Internal Friction (φ') & Upward Force (u) we can find Normal Stress on Slice given Shear Strength using the formula - Normal Stress in Pascal = ((Shear Strength of Soil in Pascal-Cohesion in Soil)/tan((Effective Angle of Internal Friction*pi)/180))+Upward Force. This formula also uses Archimedes' constant and Tangent (tan) function(s).

What are the other ways to Calculate Normal Stress in Pascal?

Here are the different ways to Calculate Normal Stress in Pascal-

Normal Stress in Pascal=Total Normal Force/Length of Arc

Can the Normal Stress on Slice given Shear Strength be negative?

No, the Normal Stress on Slice given Shear Strength, measured in Pressure cannot be negative.

Which unit is used to measure Normal Stress on Slice given Shear Strength?

Normal Stress on Slice given Shear Strength is usually measured using the Pascal[Pa] for Pressure. Kilopascal[Pa], Bar[Pa], Pound Per Square Inch[Pa] are the few other units in which Normal Stress on Slice given Shear Strength can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Normal Stress on Slice given Shear Strength Formula

​GoNormal Stress on Slice Formula

Normal Stress on Slice given Shear Strength Example

Normal Stress on Slice given Shear Strength Solution

Normal Stress on Slice given Shear Strength Formula Elements

Other Formulas to find Normal Stress in Pascal

Other formulas in Slope Stability Analysis using Bishops Method category

How to Evaluate Normal Stress on Slice given Shear Strength?

FAQs on Normal Stress on Slice given Shear Strength

Variable Name

GoNormal Stress on Slice Formula