Normal Stress given Factor of Safety for Cohesive Soil Calculator

✖Shear Stress for Factor of Safety is force is the maximum shear stress that a soil can withstand before failure, considering a safety factor.ⓘ Shear Stress for Factor of Safety [𝜏_Shearstress]			+10% -10%
✖Factor of Safety expresses how much stronger a system is than it needs to be for an intended load.ⓘ Factor of Safety [f_s]			+10% -10%
✖Unit Cohesion is the shear strength of soil due to interparticle bonding and cementation.ⓘ Unit Cohesion [c_u]			+10% -10%
✖Angle of Internal Friction of Soil is a measure of the shear strength of soil due to friction.ⓘ Angle of Internal Friction of Soil [Φ_i]			+10% -10%

✖Normal Stress is the stress component that acts perpendicular to the plane of interest within a soil mass or structure.ⓘ Normal Stress given Factor of Safety for Cohesive Soil [σ_Normal]

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Normal Stress given Factor of Safety for Cohesive Soil Solution

STEP 0: Pre-Calculation Summary

Formula Used

Normal Stress = ((Shear Stress for Factor of Safety*Factor of Safety)-Unit Cohesion)/tan((Angle of Internal Friction of Soil))
σ_Normal = ((𝜏_Shearstress*f_s)-c_u)/tan((Φ_i))
This formula uses 1 Functions, 5 Variables

Functions Used

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., tan(Angle)

Variables Used

Normal Stress - (Measured in Pascal) - Normal Stress is the stress component that acts perpendicular to the plane of interest within a soil mass or structure.
Shear Stress for Factor of Safety - (Measured in Pascal) - Shear Stress for Factor of Safety is force is the maximum shear stress that a soil can withstand before failure, considering a safety factor.
Factor of Safety - Factor of Safety expresses how much stronger a system is than it needs to be for an intended load.
Unit Cohesion - (Measured in Pascal) - Unit Cohesion is the shear strength of soil due to interparticle bonding and cementation.
Angle of Internal Friction of Soil - (Measured in Radian) - Angle of Internal Friction of Soil is a measure of the shear strength of soil due to friction.

STEP 1: Convert Input(s) to Base Unit

Shear Stress for Factor of Safety: 15.909 Pascal --> 15.909 Pascal No Conversion Required
Factor of Safety: 0.88 --> No Conversion Required
Unit Cohesion: 10 Pascal --> 10 Pascal No Conversion Required
Angle of Internal Friction of Soil: 78.69 Degree --> 1.37339958839408 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_Normal = ((𝜏_Shearstress*f_s)-c_u)/tan((Φ_i)) --> ((15.909*0.88)-10)/tan((1.37339958839408))

Evaluating ... ...

σ_Normal = 0.799988902674994

STEP 3: Convert Result to Output's Unit

0.799988902674994 Pascal --> No Conversion Required

FINAL ANSWER

0.799988902674994 ≈ 0.799989 Pascal <-- Normal Stress

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< Stability Analysis of Infinite Slopes Calculators

Normal Stress given Shear Stress of Cohesionless Soil

LaTeX Go Normal Stress in Mega Pascal = Shear Stress for Factor of Safety*cot((Angle of Inclination))

Normal Stress given Shear Strength of Cohesionless Soil

LaTeX Go Normal Stress in Mega Pascal = Shear Strength/tan((Angle of Internal Friction))

Shear Strength of Cohesionless Soil

LaTeX Go Shear Strength = Normal Stress in Mega Pascal*tan((Angle of Internal Friction))

Angle of Internal Friction given Shear Strength of Cohesionless Soil

LaTeX Go Angle of Internal Friction = atan(Shear Strength/Normal Stress in Mega Pascal)

Normal Stress given Factor of Safety for Cohesive Soil Formula

LaTeX Go

Normal Stress = ((Shear Stress for Factor of Safety*Factor of Safety)-Unit Cohesion)/tan((Angle of Internal Friction of Soil))
σ_Normal = ((𝜏_Shearstress*f_s)-c_u)/tan((Φ_i))

What is Normal Stress?

A normal stress is a stress that occurs when a member is loaded by an axial force. The value of the normal force for any prismatic section is simply the force divided by the cross sectional area. A normal stress will occur when a member is placed in tension or compression.

How to Calculate Normal Stress given Factor of Safety for Cohesive Soil?

Normal Stress given Factor of Safety for Cohesive Soil calculator uses Normal Stress = ((Shear Stress for Factor of Safety*Factor of Safety)-Unit Cohesion)/tan((Angle of Internal Friction of Soil)) to calculate the Normal Stress, The Normal Stress given Factor of Safety for Cohesive Soil formula is defined as the value of the maximum allowable normal stress that cohesive soil can withstand under certain conditions, ensuring a specified factor of safety against failure. Normal Stress is denoted by σ_Normal symbol.

How to calculate Normal Stress given Factor of Safety for Cohesive Soil using this online calculator? To use this online calculator for Normal Stress given Factor of Safety for Cohesive Soil, enter Shear Stress for Factor of Safety (𝜏_Shearstress), Factor of Safety (f_s), Unit Cohesion (c_u) & Angle of Internal Friction of Soil (Φ_i) and hit the calculate button. Here is how the Normal Stress given Factor of Safety for Cohesive Soil calculation can be explained with given input values -> -1.120007 = ((15.909*0.88)-10)/tan((1.37339958839408)).

FAQ

What is Normal Stress given Factor of Safety for Cohesive Soil?

The Normal Stress given Factor of Safety for Cohesive Soil formula is defined as the value of the maximum allowable normal stress that cohesive soil can withstand under certain conditions, ensuring a specified factor of safety against failure and is represented as σ_Normal = ((𝜏_Shearstress*f_s)-c_u)/tan((Φ_i)) or Normal Stress = ((Shear Stress for Factor of Safety*Factor of Safety)-Unit Cohesion)/tan((Angle of Internal Friction of Soil)). Shear Stress for Factor of Safety is force is the maximum shear stress that a soil can withstand before failure, considering a safety factor, Factor of Safety expresses how much stronger a system is than it needs to be for an intended load, Unit Cohesion is the shear strength of soil due to interparticle bonding and cementation & Angle of Internal Friction of Soil is a measure of the shear strength of soil due to friction.

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

The Normal Stress given Factor of Safety for Cohesive Soil formula is defined as the value of the maximum allowable normal stress that cohesive soil can withstand under certain conditions, ensuring a specified factor of safety against failure is calculated using Normal Stress = ((Shear Stress for Factor of Safety*Factor of Safety)-Unit Cohesion)/tan((Angle of Internal Friction of Soil)). To calculate Normal Stress given Factor of Safety for Cohesive Soil, you need Shear Stress for Factor of Safety (𝜏_Shearstress), Factor of Safety (f_s), Unit Cohesion (c_u) & Angle of Internal Friction of Soil (Φ_i). With our tool, you need to enter the respective value for Shear Stress for Factor of Safety, Factor of Safety, Unit Cohesion & Angle of Internal Friction of Soil and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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