✖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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Formula

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Normal Stress given Factor of Safety for Cohesive Soil

Formula

`"σ"_{"Normal"} = (("𝜏"_{"Shearstress"}*"f"_{"s"})-"c"_{"u"})/tan(("Φ"_{"i"}))`

Example

`"0.799989Pa"=(("15.909Pa"*"0.88")-"10Pa")/tan(("78.69°"))`

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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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< 25 Stability Analysis of Infinite Slopes Calculators

Unit Weight of Soil given Critical Depth for Cohesive Soil

Go Unit Weight of Soil = Cohesion of Soil/(Critical Depth*(tan((Angle of Inclination))-tan((Angle of Internal Friction)))*(cos((Angle of Inclination)))^2)

Cohesion given Critical Depth for Cohesive Soil

Go Cohesion of Soil = (Critical Depth*Unit Weight of Soil*(tan((Angle of Inclination))-tan((Angle of Internal Friction)))*(cos((Angle of Inclination)))^2)

Critical Depth for Cohesive Soil

Go Critical Depth = Cohesion of Soil/(Unit Weight of Soil*(tan((Angle of Inclination))-tan((Angle of Internal Friction)))*(cos((Angle of Inclination)))^2)

Cohesion given Shear Strength of Cohesive Soil

Go Cohesion of Soil = Shear Strength in KN per Cubic Meter-(Normal Stress at a Point in Soil*tan((Angle of Internal Friction of Soil*pi)/180))

Cohesion of Soil given Factor of Safety for Cohesive Soil

Go Cohesion of Soil = (Shear Stress in Cohesive Soil*Factor of Safety)-(Normal Stress at a Point in Soil*tan((Angle of Internal Friction)))

Shear Strength of Soil given Angle of Internal Friction

Go Shear Strength of Soil = (Shear Stress for Factor of Safety*(tan(Angle of Internal Friction of Soil)/tan(Angle of Inclination)))

Normal Stress given Factor of Safety for Cohesive Soil

Go Normal Stress = ((Shear Stress for Factor of Safety*Factor of Safety)-Unit Cohesion)/tan((Angle of Internal Friction of Soil))

Shear Stress of Soil given Angle of Internal Friction

Go Shear Stress given Angle of Internal Friction = Shear Strength/(tan((Angle of Internal Friction))/tan((Angle of Inclination)))

Shear Stress given Factor of Safety for Cohesive Soil

Go Shear Stress for Factor of Safety = (Unit Cohesion+(Normal Stress*tan((Angle of Internal Friction of Soil))))/Factor of Safety

Angle of Internal Friction given Shear Strength of Soil

Go Angle of Internal Friction of Soil = atan((Shear Strength/Shear Stress)*tan((Angle of Inclination)))

Normal Stress given Shear Strength of Cohesive Soil

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

Shear Strength of Cohesive Soil

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

Factor of Safety against Sliding

Go Factor of Safety = (tan((Angle of Internal Friction of Soil))/tan((Angle of Inclination)))

Unit Weight of Soil given Mobilized Cohesion

Go Unit Weight of Soil = (Mobilized Cohesion for Cohesive Soil/(Stability Number*Depth at Mobilized Cohesion))

Depth at Mobilized Cohesion

Go Depth at Mobilized Cohesion = (Mobilized Cohesion for Cohesive Soil/(Unit Weight of Soil*Stability Number))

Mobilized Cohesion given Stability Number for Cohesive Soil

Go Mobilized Cohesion for Cohesive Soil = (Stability Number*Unit Weight of Soil*Depth at Mobilized Cohesion)

Unit Weight of Soil given Stability Number for Cohesive Soil

Go Unit Weight of Soil = (Cohesion of Soil/(Stability Number*Critical Depth for Stability Number))

Critical Depth given Stability Number for Cohesive Soil

Go Critical Depth for Stability Number = (Cohesion of Soil/(Unit Weight of Soil*Stability Number))

Cohesion given Stability Number for Cohesive Soil

Go Cohesion of Soil = Stability Number*(Unit Weight of Soil*Critical Depth for Stability Number)

Normal Stress given Shear Stress of Cohesionless Soil

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

Normal Stress given Shear Strength of Cohesionless Soil

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

Shear Strength of Cohesionless Soil

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

Angle of Internal Friction given Shear Strength of Cohesionless Soil

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

Cohesion of Soil given Mobilized Cohesion

Go Cohesion of Soil = Mobilized Cohesion*Factor of Safety with respect to Cohesion

Mobilized Cohesion

Go Mobilized Cohesion = Cohesion of Soil/Factor of Safety with respect to Cohesion

Normal Stress given Factor of Safety for Cohesive Soil Formula

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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