Shear Strength of Soil given Factor of Safety Solution

STEP 0: Pre-Calculation Summary
Formula Used
Shear Strength in KN per Cubic Meter = Ultimate Shear Stress in Soil Mechanics*Factor of Safety
τf = ζ*fs
This formula uses 3 Variables
Variables Used
Shear Strength in KN per Cubic Meter - (Measured in Pascal) - Shear Strength in KN per Cubic Meter is the strength of a material against structural failure when the material fails in shear.
Ultimate Shear Stress in Soil Mechanics - (Measured in Pascal) - Ultimate Shear Stress in Soil Mechanics is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.
Factor of Safety - Factor of Safety expresses how much stronger a system is than it needs to be for an intended load.
STEP 1: Convert Input(s) to Base Unit
Ultimate Shear Stress in Soil Mechanics: 1.69 Kilonewton per Square Meter --> 1690 Pascal (Check conversion here)
Factor of Safety: 2.8 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
τf = ζ*fs --> 1690*2.8
Evaluating ... ...
τf = 4732
STEP 3: Convert Result to Output's Unit
4732 Pascal -->4.732 Kilonewton per Square Meter (Check conversion here)
FINAL ANSWER
4.732 Kilonewton per Square Meter <-- Shear Strength in KN per Cubic Meter
(Calculation completed in 00.004 seconds)

Credits

Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
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Meerut Institute of Engineering and Technology (MIET), Meerut
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4 Shear Stress Component Calculators

Shear Stress Component given Unit Weight of Soil
Go Ultimate Shear Stress in Soil Mechanics = (Unit Weight of Soil*Depth of Prism*cos((Angle of Inclination to Horizontal in Soil*pi)/180)*sin((Angle of Inclination to Horizontal in Soil*pi)/180))
Shear Stress Component given Vertical Stress
Go Ultimate Shear Stress in Soil Mechanics = Vertical Stress at a Point in Kilopascal*sin((Angle of Inclination to Horizontal in Soil*pi)/180)
Angle of Inclination given Shear Stress Component
Go Angle of Inclination to Horizontal in Soil = asin(Ultimate Shear Stress/Vertical Stress at a Point)
Shear Strength of Soil given Factor of Safety
Go Shear Strength in KN per Cubic Meter = Ultimate Shear Stress in Soil Mechanics*Factor of Safety

Shear Strength of Soil given Factor of Safety Formula

Shear Strength in KN per Cubic Meter = Ultimate Shear Stress in Soil Mechanics*Factor of Safety
τf = ζ*fs

What is Shear Strength?

Shear strength is the strength of a material or component against the type of yield or structural failure when the material or component fails in shear. A shear load is a force that tends to produce a sliding failure on a material along a plane that is parallel to the direction of the force.

How to Calculate Shear Strength of Soil given Factor of Safety?

Shear Strength of Soil given Factor of Safety calculator uses Shear Strength in KN per Cubic Meter = Ultimate Shear Stress in Soil Mechanics*Factor of Safety to calculate the Shear Strength in KN per Cubic Meter, The Shear Strength of Soil given Factor of Safety is defined as the strength of material or component against type of yield or structural failure when material or component fails in shear. Shear Strength in KN per Cubic Meter is denoted by τf symbol.

How to calculate Shear Strength of Soil given Factor of Safety using this online calculator? To use this online calculator for Shear Strength of Soil given Factor of Safety, enter Ultimate Shear Stress in Soil Mechanics (ζ) & Factor of Safety (fs) and hit the calculate button. Here is how the Shear Strength of Soil given Factor of Safety calculation can be explained with given input values -> 0.004732 = 1690*2.8.

FAQ

What is Shear Strength of Soil given Factor of Safety?
The Shear Strength of Soil given Factor of Safety is defined as the strength of material or component against type of yield or structural failure when material or component fails in shear and is represented as τf = ζ*fs or Shear Strength in KN per Cubic Meter = Ultimate Shear Stress in Soil Mechanics*Factor of Safety. Ultimate Shear Stress in Soil Mechanics is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress & Factor of Safety expresses how much stronger a system is than it needs to be for an intended load.
How to calculate Shear Strength of Soil given Factor of Safety?
The Shear Strength of Soil given Factor of Safety is defined as the strength of material or component against type of yield or structural failure when material or component fails in shear is calculated using Shear Strength in KN per Cubic Meter = Ultimate Shear Stress in Soil Mechanics*Factor of Safety. To calculate Shear Strength of Soil given Factor of Safety, you need Ultimate Shear Stress in Soil Mechanics (ζ) & Factor of Safety (fs). With our tool, you need to enter the respective value for Ultimate Shear Stress in Soil Mechanics & Factor of Safety 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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