Normal Stress given Shear Stress of Cohesionless Soil Solution

STEP 0: Pre-Calculation Summary
Formula Used
Normal Stress in Mega Pascal = Shear Stress for Factor of Safety*cot((Angle of Inclination))
ฯƒnm = ๐œShearstress*cot((I))
This formula uses 1 Functions, 3 Variables
Functions Used
cot - Cotangent is a trigonometric function that is defined as the ratio of the adjacent side to the opposite side in a right triangle., cot(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 Stress for Factor of Safety - (Measured in Pascal) - Shear Stress for Factor of Safety is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.
Angle of Inclination - (Measured in Radian) - Angle of Inclination is defined as the angle measured from the horizontal surface of the wall or any object.
STEP 1: Convert Input(s) to Base Unit
Shear Stress for Factor of Safety: 5 Pascal --> 5 Pascal No Conversion Required
Angle of Inclination: 80 Degree --> 1.3962634015952 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ฯƒnm = ๐œShearstress*cot((I)) --> 5*cot((1.3962634015952))
Evaluating ... ...
ฯƒnm = 0.881634903543684
STEP 3: Convert Result to Output's Unit
881634.903543684 Pascal -->0.881634903543684 Megapascal (Check conversion here)
FINAL ANSWER
0.881634903543684 โ‰ˆ 0.881635 Megapascal <-- Normal Stress in Mega Pascal
(Calculation completed in 00.004 seconds)

Credits

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
Ishita Goyal has verified this Calculator and 2600+ more calculators!

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 Stress of Cohesionless Soil Formula

Normal Stress in Mega Pascal = Shear Stress for Factor of Safety*cot((Angle of Inclination))
ฯƒnm = ๐œShearstress*cot((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.

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

Normal Stress given Shear Stress of Cohesionless Soil calculator uses Normal Stress in Mega Pascal = Shear Stress for Factor of Safety*cot((Angle of Inclination)) to calculate the Normal Stress in Mega Pascal, The Normal Stress given Shear Stress of Cohesionless Soil is defined as the force perpendicular to a plane divided by the corresponding area under shear stress. Normal Stress in Mega Pascal is denoted by ฯƒnm symbol.

How to calculate Normal Stress given Shear Stress of Cohesionless Soil using this online calculator? To use this online calculator for Normal Stress given Shear Stress of Cohesionless Soil, enter Shear Stress for Factor of Safety (๐œShearstress) & Angle of Inclination (I) and hit the calculate button. Here is how the Normal Stress given Shear Stress of Cohesionless Soil calculation can be explained with given input values -> 8.8E-7 = 5*cot((1.3962634015952)).

FAQ

What is Normal Stress given Shear Stress of Cohesionless Soil?
The Normal Stress given Shear Stress of Cohesionless Soil is defined as the force perpendicular to a plane divided by the corresponding area under shear stress and is represented as ฯƒnm = ๐œShearstress*cot((I)) or Normal Stress in Mega Pascal = Shear Stress for Factor of Safety*cot((Angle of Inclination)). Shear Stress for Factor of Safety is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress & Angle of Inclination is defined as the angle measured from the horizontal surface of the wall or any object.
How to calculate Normal Stress given Shear Stress of Cohesionless Soil?
The Normal Stress given Shear Stress of Cohesionless Soil is defined as the force perpendicular to a plane divided by the corresponding area under shear stress is calculated using Normal Stress in Mega Pascal = Shear Stress for Factor of Safety*cot((Angle of Inclination)). To calculate Normal Stress given Shear Stress of Cohesionless Soil, you need Shear Stress for Factor of Safety (๐œShearstress) & Angle of Inclination (I). With our tool, you need to enter the respective value for Shear Stress for Factor of Safety & Angle of Inclination 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 Stress for Factor of Safety & Angle of Inclination. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Normal Stress in Mega Pascal = Shear Strength/tan((Angle of Internal Friction))
  • Normal Stress in Mega Pascal = (Shear Strength-Cohesion of Soil)/tan((Angle of Internal Friction))
Let Others Know
โœ–
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!