Normal Stress given Shear Strength of Cohesionless Soil Calculator

✖Shear Strength is the strength of a material against structural failure when the material fails in shear.ⓘ Shear Strength [τ_s]			+10% -10%
✖Angle of Internal Friction is the angle measured between the normal force and resultant force .ⓘ Angle of Internal Friction [φ]			+10% -10%

✖Normal Stress in Mega Pascal is a stress that occurs when a member is loaded by an axial force.ⓘ Normal Stress given Shear Strength of Cohesionless Soil [σ_nm]

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Normal Stress given Shear Strength of Cohesionless Soil

Formula

`"σ"_{"nm"} = "τ"_{"s"}/tan(("φ"))`

Example

`"1.158827MPa"="1.2MPa"/tan(("46°"))`

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Normal Stress given Shear Strength of Cohesionless Soil Solution

STEP 0: Pre-Calculation Summary

Formula Used

Normal Stress in Mega Pascal = Shear Strength/tan((Angle of Internal Friction))
σ_nm = τ_s/tan((φ))
This formula uses 1 Functions, 3 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 in Mega Pascal - (Measured in Megapascal) - Normal Stress in Mega Pascal is a stress that occurs when a member is loaded by an axial force.
Shear Strength - (Measured in Megapascal) - Shear Strength is the strength of a material against structural failure when the material fails in shear.
Angle of Internal Friction - (Measured in Radian) - Angle of Internal Friction is the angle measured between the normal force and resultant force .

STEP 1: Convert Input(s) to Base Unit

Shear Strength: 1.2 Megapascal --> 1.2 Megapascal No Conversion Required
Angle of Internal Friction: 46 Degree --> 0.802851455917241 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_nm = τ_s/tan((φ)) --> 1.2/tan((0.802851455917241))

Evaluating ... ...

σ_nm = 1.15882652976884

STEP 3: Convert Result to Output's Unit

1158826.52976884 Pascal -->1.15882652976884 Megapascal (Check conversion here)

FINAL ANSWER

1.15882652976884 ≈ 1.158827 Megapascal <-- Normal Stress in Mega Pascal

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Geotechnical Engineering » Stability Analysis of Infinite Slopes » Normal Stress given Shear Strength of Cohesionless Soil

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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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 in Soil Mechanics*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 in Soil Mechanics*tan((Angle of Internal Friction)))

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 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

Shear Strength of Soil given Angle of Internal Friction

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

Shear Stress of Soil given Angle of Internal Friction

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

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 given Angle of Internal Friction

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

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))

Unit Weight of Soil given Mobilised Cohesion

Go Unit Weight of Soil = (Mobilised Cohesion/(Stability Number*Depth at Mobilised Cohesion))

Depth at Mobilised Cohesion

Go Depth at Mobilised Cohesion = (Mobilised Cohesion/(Unit Weight of Soil*Stability Number))

Mobilised Cohesion given Stability Number for Cohesive Soil

Go Mobilised Cohesion = (Stability Number*Unit Weight of Soil*Depth at Mobilised Cohesion)

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 Mobilised Cohesion

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

Mobilised Cohesion

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

Normal Stress given Shear Strength of Cohesionless Soil Formula

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

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.

How to Calculate Normal Stress given Shear Strength of Cohesionless Soil?

Normal Stress given Shear Strength of Cohesionless Soil calculator uses Normal Stress in Mega Pascal = Shear Strength/tan((Angle of Internal Friction)) to calculate the Normal Stress in Mega Pascal, The Normal Stress given Shear Strength of Cohesionless Soil is defined as the force applied perpendicular to cohesionless soil, with shear strength representing the soil's resistance to sliding. Normal Stress in Mega Pascal is denoted by σ_nm symbol.

How to calculate Normal Stress given Shear Strength of Cohesionless Soil using this online calculator? To use this online calculator for Normal Stress given Shear Strength of Cohesionless Soil, enter Shear Strength (τ_s) & Angle of Internal Friction (φ) and hit the calculate button. Here is how the Normal Stress given Shear Strength of Cohesionless Soil calculation can be explained with given input values -> 1.2E-6 = 1200000/tan((0.802851455917241)).

FAQ

What is Normal Stress given Shear Strength of Cohesionless Soil?

The Normal Stress given Shear Strength of Cohesionless Soil is defined as the force applied perpendicular to cohesionless soil, with shear strength representing the soil's resistance to sliding and is represented as σ_nm = τ_s/tan((φ)) or Normal Stress in Mega Pascal = Shear Strength/tan((Angle of Internal Friction)). Shear Strength is the strength of a material against structural failure when the material fails in shear & Angle of Internal Friction is the angle measured between the normal force and resultant force .

How to calculate Normal Stress given Shear Strength of Cohesionless Soil?

The Normal Stress given Shear Strength of Cohesionless Soil is defined as the force applied perpendicular to cohesionless soil, with shear strength representing the soil's resistance to sliding is calculated using Normal Stress in Mega Pascal = Shear Strength/tan((Angle of Internal Friction)). To calculate Normal Stress given Shear Strength of Cohesionless Soil, you need Shear Strength (τ_s) & Angle of Internal Friction (φ). With our tool, you need to enter the respective value for Shear Strength & Angle of Internal Friction and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Normal Stress in Mega Pascal?

In this formula, Normal Stress in Mega Pascal uses Shear Strength & Angle of Internal Friction. We can use 2 other way(s) to calculate the same, which is/are as follows -

Normal Stress in Mega Pascal = Shear Stress for Factor of Safety*cot((Angle of Inclination))
Normal Stress in Mega Pascal = (Shear Strength-Cohesion of Soil)/tan((Angle of Internal Friction))

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