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Shear Stress given Factor of Safety for Cohesive Soil Formula

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Shear Stress for Factor of Safety is force is the maximum shear stress that a soil can withstand before failure, considering a safety factor. Check FAQs

𝜏 Shearstress = \frac{c u + (σ Normal \cdot \tan ((Φ i)))}{f s}

𝜏_Shearstress - Shear Stress for Factor of Safety?c_u - Unit Cohesion?σ_Normal - Normal Stress?Φ_i - Angle of Internal Friction of Soil?f_s - Factor of Safety?

Shear Stress given Factor of Safety for Cohesive Soil Example

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Here is how the Shear Stress given Factor of Safety for Cohesive Soil equation looks like with Values.

Here is how the Shear Stress given Factor of Safety for Cohesive Soil equation looks like with Units.

Here is how the Shear Stress given Factor of Safety for Cohesive Soil equation looks like.

15.9091 = \frac{10 + (0.8 \cdot \tan ((78.69)))}{0.88}

15.9091Pa = \frac{10Pa + (0.8Pa \cdot \tan ((78.69°)))}{0.88}

15.9091 = \frac{10 + (0.8 \cdot \tan ((78.69)))}{0.88}

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Shear Stress given Factor of Safety for Cohesive Soil Solution

Follow our step by step solution on how to calculate Shear Stress given Factor of Safety for Cohesive Soil?

FIRST Step Consider the formula

𝜏 Shearstress = \frac{c u + (σ Normal \cdot \tan ((Φ i)))}{f s}

Next Step Substitute values of Variables

∴

𝜏 Shearstress = \frac{10Pa + (0.8Pa \cdot \tan ((78.69°)))}{0.88}

Next Step Convert Units

∴

𝜏 Shearstress = \frac{10Pa + (0.8Pa \cdot \tan ((1.3734rad)))}{0.88}

Next Step Prepare to Evaluate

∴

𝜏 Shearstress = \frac{10 + (0.8 \cdot \tan ((1.3734)))}{0.88}

Next Step Evaluate

∴

𝜏 Shearstress = 15.9090630525966Pa

LAST Step Rounding Answer

∴

𝜏 Shearstress = 15.9091Pa

Shear Stress given Factor of Safety for Cohesive Soil Formula Elements

Variables

Functions

Shear Stress for Factor of Safety

Shear Stress for Factor of Safety is force is the maximum shear stress that a soil can withstand before failure, considering a safety factor.

Symbol: 𝜏_Shearstress

Measurement: StressUnit: Pa

Note: Value should be greater than 0.

Formulas to find Shear Stress for Factor of Safety

Unit Cohesion

Unit Cohesion is the shear strength of soil due to interparticle bonding and cementation.

Symbol: c_u

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Unit Cohesion

Normal Stress

Normal Stress is the stress component that acts perpendicular to the plane of interest within a soil mass or structure.

Symbol: σ_Normal

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Normal Stress

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

Factor of Safety

Factor of Safety expresses how much stronger a system is than it needs to be for an intended load.

Symbol: f_s

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Factor of Safety

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 in Stability Analysis of Infinite Slopes category

Go Shear Strength of Cohesionless Soil

τ s = σ nm \cdot \tan ((φ))

Go Normal Stress given Shear Strength of Cohesionless Soil

σ nm = \frac{τ s}{\tan ((φ))}

Go Angle of Internal Friction given Shear Strength of Cohesionless Soil

φ = a \tan (\frac{τ s}{σ nm})

Go Normal Stress given Shear Stress of Cohesionless Soil

σ nm = 𝜏 Shearstress \cdot \cot ((I))

How to Evaluate Shear Stress given Factor of Safety for Cohesive Soil?

Shear Stress given Factor of Safety for Cohesive Soil evaluator uses Shear Stress for Factor of Safety = (Unit Cohesion+(Normal Stress*tan((Angle of Internal Friction of Soil))))/Factor of Safety to evaluate the Shear Stress for Factor of Safety, The Shear Stress given Factor of Safety for Cohesive Soil formula is defined as the measure of shear stress acting within a soil mass, taking into account the safety factor to ensure stability. Shear Stress for Factor of Safety is denoted by 𝜏_Shearstress symbol.

How to evaluate Shear Stress given Factor of Safety for Cohesive Soil using this online evaluator? To use this online evaluator for Shear Stress given Factor of Safety for Cohesive Soil, enter Unit Cohesion (c_u), Normal Stress (σ_Normal), Angle of Internal Friction of Soil (Φ_i) & Factor of Safety (f_s) and hit the calculate button.

FAQs on Shear Stress given Factor of Safety for Cohesive Soil

What is the formula to find Shear Stress given Factor of Safety for Cohesive Soil?

The formula of Shear Stress given Factor of Safety for Cohesive Soil is expressed as Shear Stress for Factor of Safety = (Unit Cohesion+(Normal Stress*tan((Angle of Internal Friction of Soil))))/Factor of Safety. Here is an example- 15.90906 = (10+(0.8*tan((1.37339958839408))))/0.88.

How to calculate Shear Stress given Factor of Safety for Cohesive Soil?

With Unit Cohesion (c_u), Normal Stress (σ_Normal), Angle of Internal Friction of Soil (Φ_i) & Factor of Safety (f_s) we can find Shear Stress given Factor of Safety for Cohesive Soil using the formula - Shear Stress for Factor of Safety = (Unit Cohesion+(Normal Stress*tan((Angle of Internal Friction of Soil))))/Factor of Safety. This formula also uses Tangent (tan) function(s).

Can the Shear Stress given Factor of Safety for Cohesive Soil be negative?

No, the Shear Stress given Factor of Safety for Cohesive Soil, measured in Stress cannot be negative.

Which unit is used to measure Shear Stress given Factor of Safety for Cohesive Soil?

Shear Stress given Factor of Safety for Cohesive Soil is usually measured using the Pascal[Pa] for Stress. Newton per Square Meter[Pa], Newton per Square Millimeter[Pa], Kilonewton per Square Meter[Pa] are the few other units in which Shear Stress given Factor of Safety for Cohesive Soil can be measured.

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Shear Stress given Factor of Safety for Cohesive Soil Formula

Shear Stress given Factor of Safety for Cohesive Soil Example

Shear Stress given Factor of Safety for Cohesive Soil Solution

Shear Stress given Factor of Safety for Cohesive Soil Formula Elements

Other formulas in Stability Analysis of Infinite Slopes category

How to Evaluate Shear Stress given Factor of Safety for Cohesive Soil?

FAQs on Shear Stress given Factor of Safety for Cohesive Soil

Variable Name