Normal Stress on Slice Calculator

✖Total normal force acting at the base of the slice.ⓘ Total Normal Force [P]			+10% -10%
✖Length of Arc of the slice taken into consideration.ⓘ Length of Arc [l]			+10% -10%

✖Normal Stress in Pascal is defined as the stress produced by the perpendicular action of a force on a given area.ⓘ Normal Stress on Slice [σ_normal]

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Formula

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Normal Stress on Slice

Formula

`"σ"_{"normal"} = "P"/"l"`

Example

`"15.92357Pa"="150N"/"9.42m"`

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Download Slope Stability Analysis using Bishops Method Formulas PDF

Normal Stress on Slice Solution

STEP 0: Pre-Calculation Summary

Formula Used

Normal Stress in Pascal = Total Normal Force/Length of Arc
σ_normal = P/l
This formula uses 3 Variables

Variables Used

Normal Stress in Pascal - (Measured in Pascal) - Normal Stress in Pascal is defined as the stress produced by the perpendicular action of a force on a given area.
Total Normal Force - (Measured in Newton) - Total normal force acting at the base of the slice.
Length of Arc - (Measured in Meter) - Length of Arc of the slice taken into consideration.

STEP 1: Convert Input(s) to Base Unit

Total Normal Force: 150 Newton --> 150 Newton No Conversion Required
Length of Arc: 9.42 Meter --> 9.42 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_normal = P/l --> 150/9.42

Evaluating ... ...

σ_normal = 15.9235668789809

STEP 3: Convert Result to Output's Unit

15.9235668789809 Pascal --> No Conversion Required

FINAL ANSWER

15.9235668789809 ≈ 15.92357 Pascal <-- Normal Stress in Pascal

(Calculation completed in 00.020 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2200+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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< 25 Slope Stability Analysis using Bishops Method Calculators

Weight of Slice given Total Normal Force Acting on Slice

Go Weight of Slice = (Total Normal Force in Soil Mechanics*cos((Angle of Base*pi)/180))+(Shear Force on Slice in Soil Mechanics*sin((Angle of Base*pi)/180))-Vertical Shear Force+Vertical Shear Force at other Section

Resultant Vertical Shear Force on Section N+1

Go Vertical Shear Force at other Section = Weight of Slice+Vertical Shear Force-(Total Normal Force in Soil Mechanics*cos((Angle of Base*pi)/180))+(Shear Force on Slice in Soil Mechanics*sin((Angle of Base*pi)/180))

Resultant Vertical Shear Force on Section N

Go Vertical Shear Force = (Total Normal Force in Soil Mechanics*cos((Angle of Base*pi)/180))+(Shear Force on Slice in Soil Mechanics*sin((Angle of Base*pi)/180))-Weight of Slice+Vertical Shear Force at other Section

Effective Cohesion of Soil given Shear Force in Bishop's Analysis

Go Effective Cohesion = ((Shear Force on Slice in Soil Mechanics*Factor of Safety)-((Total Normal Force-(Upward Force*Length of Arc))*tan((Effective Angle of Internal Friction*pi)/180)))/Length of Arc

Factor of Safety given Shear Force in Bishop's Analysis

Go Factor of Safety = ((Effective Cohesion*Length of Arc) +(Total Normal Force-(Upward Force*Length of Arc))*tan((Effective Angle of Internal Friction*pi)/180))/Shear Force on Slice in Soil Mechanics

Effective Angle of Internal Friction given Shear Force in Bishop's Analysis

Go Effective Angle of Internal Friction = atan(((Shear Force on Slice in Soil Mechanics*Factor of Safety)-(Effective Cohesion*Length of Arc))/(Total Normal Force-(Upward Force*Length of Arc)))

Effective Cohesion of Soil given Normal Stress on Slice

Go Effective Cohesion = Shear Strength of Soil in Pascal-((Normal Stress in Pascal-Upward Force)*tan((Effective Angle of Internal Friction*pi)/180))

Normal Stress on Slice given Shear Strength

Go Normal Stress in Pascal = ((Shear Strength of Soil in Pascal-Cohesion in Soil)/tan((Effective Angle of Internal Friction*pi)/180))+Upward Force

Effective Angle of Internal Friction given Shear Strength

Go Effective Angle of Internal Friction = atan((Shear Strength-Effective Cohesion)/(Normal Stress in Mega Pascal-Upward Force))

Radius of Arc when Total Shear Force on Slice is Available

Go Radius of Soil Section = (Total Weight of Slice in Soil Mechanics*Horizontal Distance)/Total Shear Force in Soil Mechanics

Total Weight of Slice given Total Shear Force on Slice

Go Total Weight of Slice in Soil Mechanics = (Total Shear Force in Soil Mechanics*Radius of Soil Section)/Horizontal Distance

Horizontal Distance of Slice from Centre of Rotation

Go Horizontal Distance = (Total Shear Force in Soil Mechanics*Radius of Soil Section)/Total Weight of Slice in Soil Mechanics

Factor of Safety given by Bishop

Go Factor of Safety = Stability Coefficient m in Soil Mechanics-(Stability Coefficient n*Pore Pressure Ratio)

Pore Pressure Ratio given Horizontal Width

Go Pore Pressure Ratio = (Upward Force*Width of Soil Section)/Total Weight of Slice in Soil Mechanics

Unit weight of Soil given Pore Pressure Ratio

Go Unit Weight of Soil = (Upward Force in Seepage Analysis/(Pore Pressure Ratio*Height of Slice))

Height of Slice given Pore Pressure Ratio

Go Height of Slice = (Upward Force in Seepage Analysis/(Pore Pressure Ratio*Unit Weight of Soil))

Pore Pressure Ratio given Unit Weight

Go Pore Pressure Ratio = (Upward Force in Seepage Analysis/(Unit Weight of Soil*Height of Slice))

Length of Arc of Slice given Effective Stress

Go Length of Arc = Total Normal Force/(Effective Normal Stress+Total Pore Pressure)

Pore Pressure given Effective Stress on Slice

Go Total Pore Pressure = (Total Normal Force/Length of Arc)-Effective Normal Stress

Effective Stress on Slice

Go Effective Normal Stress = (Total Normal Force/Length of Arc)-Total Pore Pressure

Length of Arc of Slice given Shear Force in Bishop's Analysis

Go Length of Arc = Shear Force on Slice in Soil Mechanics/Shear Stress of Soil in Pascal

Change in Pore Pressure given Overall Pore Pressure Coefficient

Go Change in Pore Pressure = Change in Normal Stress*Pore Pressure Coefficient Overall

Change in Normal Stress given Overall Pore Pressure Coefficient

Go Change in Normal Stress = Change in Pore Pressure/Pore Pressure Coefficient Overall

Normal Stress on Slice

Go Normal Stress in Pascal = Total Normal Force/Length of Arc

Length of Arc of Slice

Go Length of Arc = Total Normal Force/Normal Stress in Pascal

Normal Stress on Slice Formula

Normal Stress in Pascal = Total Normal Force/Length of Arc
σ_normal = P/l

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 on Slice?

Normal Stress on Slice calculator uses Normal Stress in Pascal = Total Normal Force/Length of Arc to calculate the Normal Stress in Pascal, The Normal Stress on Slice is defined as the value of normal stress on slice when we have prior information of other parameters used. Normal Stress in Pascal is denoted by σ_normal symbol.

How to calculate Normal Stress on Slice using this online calculator? To use this online calculator for Normal Stress on Slice, enter Total Normal Force (P) & Length of Arc (l) and hit the calculate button. Here is how the Normal Stress on Slice calculation can be explained with given input values -> 15.92357 = 150/9.42.

FAQ

What is Normal Stress on Slice?

The Normal Stress on Slice is defined as the value of normal stress on slice when we have prior information of other parameters used and is represented as σ_normal = P/l or Normal Stress in Pascal = Total Normal Force/Length of Arc. Total normal force acting at the base of the slice & Length of Arc of the slice taken into consideration.

How to calculate Normal Stress on Slice?

The Normal Stress on Slice is defined as the value of normal stress on slice when we have prior information of other parameters used is calculated using Normal Stress in Pascal = Total Normal Force/Length of Arc. To calculate Normal Stress on Slice, you need Total Normal Force (P) & Length of Arc (l). With our tool, you need to enter the respective value for Total Normal Force & Length of Arc 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 Pascal?

In this formula, Normal Stress in Pascal uses Total Normal Force & Length of Arc. We can use 1 other way(s) to calculate the same, which is/are as follows -

Normal Stress in Pascal = ((Shear Strength of Soil in Pascal-Cohesion in Soil)/tan((Effective Angle of Internal Friction*pi)/180))+Upward Force

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