FormulaDen.com

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

Factor of Safety with respect to Shear Strength given Weighted Friction Angle Formula

GoFactor of Safety with respect to Shear Strength Formula

Fx Copy

LaTeX Copy

Factor of Safety is a measure of the load-carrying capacity of a structure or material compared to the actual load or stress that is applied to it. Check FAQs

f s = \frac{γ' \cdot φ'}{φ IF \cdot γ sat}

f_s - Factor of Safety?γ^' - Submerged Unit Weight?φ' - Effective Angle of Internal Friction?φ_IF - Weighted Friction Angle for Internal Friction?γ_sat - Saturated Unit Weight?

Factor of Safety with respect to Shear Strength given Weighted Friction Angle Example

With values

With units

Only example

Here is how the Factor of Safety with respect to Shear Strength given Weighted Friction Angle equation looks like with Values.

Here is how the Factor of Safety with respect to Shear Strength given Weighted Friction Angle equation looks like with Units.

Here is how the Factor of Safety with respect to Shear Strength given Weighted Friction Angle equation looks like.

2.821 = \frac{31 \cdot 9.99}{11 \cdot 9.98}

2.821 = \frac{31N/m³ \cdot 9.99°}{11° \cdot 9.98N/m³}

2.821 = \frac{31 \cdot 9.99}{11 \cdot 9.98}

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 Factor of Safety with respect to Shear Strength given Weighted Friction Angle

Factor of Safety with respect to Shear Strength given Weighted Friction Angle Solution

Follow our step by step solution on how to calculate Factor of Safety with respect to Shear Strength given Weighted Friction Angle?

FIRST Step Consider the formula

f s = \frac{γ' \cdot φ'}{φ IF \cdot γ sat}

Next Step Substitute values of Variables

∴

f s = \frac{31N/m³ \cdot 9.99°}{11° \cdot 9.98N/m³}

Next Step Convert Units

∴

f s = \frac{31N/m³ \cdot 0.1744rad}{0.192rad \cdot 9.98N/m³}

Next Step Prepare to Evaluate

∴

f s = \frac{31 \cdot 0.1744}{0.192 \cdot 9.98}

Next Step Evaluate

∴

f s = 2.82100564765896

LAST Step Rounding Answer

∴

f s = 2.821

Factor of Safety with respect to Shear Strength given Weighted Friction Angle Formula Elements

Variables

Factor of Safety

Factor of Safety is a measure of the load-carrying capacity of a structure or material compared to the actual load or stress that is applied to it.

Symbol: f_s

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Factor of Safety

Submerged Unit Weight

Submerged Unit Weight is the effective weight of the soil per unit volume when it is submerged in water.

Symbol: γ^'

Measurement: Specific WeightUnit: N/m³

Note: Value should be greater than 0.

Formulas to find Submerged Unit Weight

Effective Angle of Internal Friction

Effective Angle of Internal Friction is the shear strength of soil due to the friction between soil particles when subjected to effective stress.

Symbol: φ'

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Effective Angle of Internal Friction

Weighted Friction Angle for Internal Friction

Weighted Friction Angle for Internal Friction is an effective measure combining materials' friction properties and their relative contributions in geotechnical engineering for stability analysis.

Symbol: φ_IF

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Weighted Friction Angle for Internal Friction

Saturated Unit Weight

Saturated Unit Weight is the value of the unit weight of the soil when the soil is completely saturated with water that is all the soil pores are completely filled with water.

Symbol: γ_sat

Measurement: Specific WeightUnit: N/m³

Note: Value should be greater than 0.

Formulas to find Saturated Unit Weight

Other Formulas to find Factor of Safety

Go Factor of Safety with respect to Shear Strength

f s = ((\frac{γ'}{γ sat}) \cdot (\frac{\tan ((φ))}{\tan ((φ IF))}))

Other formulas in Taylor's Stability Number and Stability Curves category

Go Weighted Friction Angle given Factor of Safety with respect to Shear Strength

φ w = a \tan ((\frac{γ'}{γ sat}) \cdot (\frac{\tan ((Φ i))}{f s}))

Go Submerged Unit Weight given Factor of Safety with respect to Shear Strength

γ' = \frac{\tan (\frac{φ w \cdot π}{180})}{(\frac{1}{γ sat}) \cdot (\frac{\tan (\frac{Φ i \cdot π}{180})}{f s})}

Go Saturated Unit Weight given Factor of Safety with respect to Shear Strength

γ sat = ((\frac{γ'}{\tan ((φ IF))}) \cdot (\frac{\tan ((φ))}{f s}))

Go Angle of Internal Friction given Factor of Safety

φ = a \tan (\frac{f s \cdot γ sat \cdot \tan ((φ IF))}{γ'})

How to Evaluate Factor of Safety with respect to Shear Strength given Weighted Friction Angle?

Factor of Safety with respect to Shear Strength given Weighted Friction Angle evaluator uses Factor of Safety = (Submerged Unit Weight*Effective Angle of Internal Friction)/(Weighted Friction Angle for Internal Friction*Saturated Unit Weight) to evaluate the Factor of Safety, The Factor of Safety with respect to Shear Strength given Weighted Friction Angle formula is defined as a ratio of the shear strength of a material (defined by the weighted friction angle) to the applied stresses, ensuring stability in geotechnical engineering, considering weighted friction angle. Factor of Safety is denoted by f_s symbol.

How to evaluate Factor of Safety with respect to Shear Strength given Weighted Friction Angle using this online evaluator? To use this online evaluator for Factor of Safety with respect to Shear Strength given Weighted Friction Angle, enter Submerged Unit Weight (γ^'), Effective Angle of Internal Friction (φ'), Weighted Friction Angle for Internal Friction (φ_IF) & Saturated Unit Weight (γ_sat) and hit the calculate button.

FAQs on Factor of Safety with respect to Shear Strength given Weighted Friction Angle

What is the formula to find Factor of Safety with respect to Shear Strength given Weighted Friction Angle?

The formula of Factor of Safety with respect to Shear Strength given Weighted Friction Angle is expressed as Factor of Safety = (Submerged Unit Weight*Effective Angle of Internal Friction)/(Weighted Friction Angle for Internal Friction*Saturated Unit Weight). Here is an example- 2.821006 = (31*0.174358392274201)/(0.19198621771934*9.98).

How to calculate Factor of Safety with respect to Shear Strength given Weighted Friction Angle?

With Submerged Unit Weight (γ^'), Effective Angle of Internal Friction (φ'), Weighted Friction Angle for Internal Friction (φ_IF) & Saturated Unit Weight (γ_sat) we can find Factor of Safety with respect to Shear Strength given Weighted Friction Angle using the formula - Factor of Safety = (Submerged Unit Weight*Effective Angle of Internal Friction)/(Weighted Friction Angle for Internal Friction*Saturated Unit Weight).

What are the other ways to Calculate Factor of Safety?

Here are the different ways to Calculate Factor of Safety-

Factor of Safety=((Submerged Unit Weight/Saturated Unit Weight)*(tan((Angle of Internal Friction))/tan((Weighted Friction Angle for Internal Friction))))

Let Others Know

✖

Facebook

Twitter

Copied!

Factor of Safety with respect to Shear Strength given Weighted Friction Angle Formula

​GoFactor of Safety with respect to Shear Strength Formula

Factor of Safety with respect to Shear Strength given Weighted Friction Angle Example

Factor of Safety with respect to Shear Strength given Weighted Friction Angle Solution

Factor of Safety with respect to Shear Strength given Weighted Friction Angle Formula Elements

Other Formulas to find Factor of Safety

Other formulas in Taylor's Stability Number and Stability Curves category

How to Evaluate Factor of Safety with respect to Shear Strength given Weighted Friction Angle?

FAQs on Factor of Safety with respect to Shear Strength given Weighted Friction Angle

Variable Name

GoFactor of Safety with respect to Shear Strength Formula