Normal Stress on Slice given Shear Strength Solution

STEP 0: Pre-Calculation Summary
Formula Used
Normal Stress in Pascal = ((Shear Strength of Soil in Pascal-Cohesion in Soil)/tan((Effective Angle of Internal Friction*pi)/180))+Upward Force
σnormal = ((τ-c)/tan((φ'*pi)/180))+u
This formula uses 1 Constants, 1 Functions, 5 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
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 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.
Shear Strength of Soil in Pascal - (Measured in Pascal) - Shear Strength of Soil in Pascal is the strength of a material against the structural failure when the material fails in shear.
Cohesion in Soil - (Measured in Pascal) - Cohesion in Soil is the ability of like particles within soil to hold onto each other. It is the shear strength or force that binds together like particles in the structure of a soil.
Effective Angle of Internal Friction - (Measured in Radian) - Effective Angle of Internal Friction is a measure of the shear strength of soils due to friction.
Upward Force - (Measured in Pascal) - Upward Force due to seepage water.
STEP 1: Convert Input(s) to Base Unit
Shear Strength of Soil in Pascal: 2.06 Pascal --> 2.06 Pascal No Conversion Required
Cohesion in Soil: 2.05 Pascal --> 2.05 Pascal No Conversion Required
Effective Angle of Internal Friction: 9.99 Degree --> 0.174358392274201 Radian (Check conversion here)
Upward Force: 20 Pascal --> 20 Pascal No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
σnormal = ((τ-c)/tan((φ'*pi)/180))+u --> ((2.06-2.05)/tan((0.174358392274201*pi)/180))+20
Evaluating ... ...
σnormal = 23.2860822986885
STEP 3: Convert Result to Output's Unit
23.2860822986885 Pascal --> No Conversion Required
FINAL ANSWER
23.2860822986885 23.28608 Pascal <-- Normal Stress in Pascal
(Calculation completed in 00.004 seconds)

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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 given Shear Strength Formula

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

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 on Slice given Shear Strength?

Normal Stress on Slice given Shear Strength calculator uses Normal Stress in Pascal = ((Shear Strength of Soil in Pascal-Cohesion in Soil)/tan((Effective Angle of Internal Friction*pi)/180))+Upward Force to calculate the Normal Stress in Pascal, The Normal Stress on Slice given Shear Strength is defined as the value of normal stress when we have prior information of other parameters used. Normal Stress in Pascal is denoted by σnormal symbol.

How to calculate Normal Stress on Slice given Shear Strength using this online calculator? To use this online calculator for Normal Stress on Slice given Shear Strength, enter Shear Strength of Soil in Pascal (τ), Cohesion in Soil (c), Effective Angle of Internal Friction (φ') & Upward Force (u) and hit the calculate button. Here is how the Normal Stress on Slice given Shear Strength calculation can be explained with given input values -> 23.28608 = ((2.06-2.05)/tan((0.174358392274201*pi)/180))+20.

FAQ

What is Normal Stress on Slice given Shear Strength?
The Normal Stress on Slice given Shear Strength is defined as the value of normal stress when we have prior information of other parameters used and is represented as σnormal = ((τ-c)/tan((φ'*pi)/180))+u or Normal Stress in Pascal = ((Shear Strength of Soil in Pascal-Cohesion in Soil)/tan((Effective Angle of Internal Friction*pi)/180))+Upward Force. Shear Strength of Soil in Pascal is the strength of a material against the structural failure when the material fails in shear, Cohesion in Soil is the ability of like particles within soil to hold onto each other. It is the shear strength or force that binds together like particles in the structure of a soil, Effective Angle of Internal Friction is a measure of the shear strength of soils due to friction & Upward Force due to seepage water.
How to calculate Normal Stress on Slice given Shear Strength?
The Normal Stress on Slice given Shear Strength is defined as the value of normal stress when we have prior information of other parameters used is calculated using Normal Stress in Pascal = ((Shear Strength of Soil in Pascal-Cohesion in Soil)/tan((Effective Angle of Internal Friction*pi)/180))+Upward Force. To calculate Normal Stress on Slice given Shear Strength, you need Shear Strength of Soil in Pascal (τ), Cohesion in Soil (c), Effective Angle of Internal Friction (φ') & Upward Force (u). With our tool, you need to enter the respective value for Shear Strength of Soil in Pascal, Cohesion in Soil, Effective Angle of Internal Friction & Upward Force 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 Shear Strength of Soil in Pascal, Cohesion in Soil, Effective Angle of Internal Friction & Upward Force. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Normal Stress in Pascal = Total Normal Force/Length of Arc
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