Cohesion of Soil depending on Shape Factors Solution

STEP 0: Pre-Calculation Summary
Formula Used
Cohesion = (Ultimate Bearing Capacity-((Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight*Shape Factor Dependent on Unit Weight)))/(Shape Factor dependent on Cohesion*Bearing Capacity Factor dependent on Cohesion)
C = (qf-((σ'*Nq)+(0.5*γ*B*Nγ*sγ)))/(sc*Nc)
This formula uses 10 Variables
Variables Used
Cohesion - (Measured in Pascal) - Cohesion 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.
Ultimate Bearing Capacity - (Measured in Pascal) - The Ultimate Bearing Capacity is defined as the minimum gross pressure intensity at the base of the foundation at which the soil fails in shear.
Effective Surcharge - (Measured in Pascal) - Effective Surcharge also called as surcharge load refers to the vertical pressure or any load that acts over the ground surface additional to basic earth pressure.
Bearing Capacity Factor dependent on Surcharge - Bearing Capacity Factor dependent on Surcharge is a constant whose value depends upon surcharge.
Unit Weight of Soil - (Measured in Newton per Cubic Meter) - Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil.
Width of Footing - (Measured in Meter) - Width of Footing is the shorter dimension of the footing.
Bearing Capacity Factor dependent on Unit Weight - Bearing Capacity Factor dependent on Unit Weight is a constant whose value depends upon unit weight of soil.
Shape Factor Dependent on Unit Weight - Shape Factor dependent on Unit Weight is the factor in soil mechanics used in calculating bearing capacity.
Shape Factor dependent on Cohesion - Shape Factor dependent on Cohesion is defined as ratio of the limit unit base resistance of a footing of any shape bearing on the soil surface to that of a strip footing on the soil surface.
Bearing Capacity Factor dependent on Cohesion - Bearing Capacity Factor dependent on Cohesion is a constant whose value depends upon the cohesion of soil.
STEP 1: Convert Input(s) to Base Unit
Ultimate Bearing Capacity: 60 Kilopascal --> 60000 Pascal (Check conversion ​here)
Effective Surcharge: 10 Pascal --> 10 Pascal No Conversion Required
Bearing Capacity Factor dependent on Surcharge: 2.01 --> No Conversion Required
Unit Weight of Soil: 18 Kilonewton per Cubic Meter --> 18000 Newton per Cubic Meter (Check conversion ​here)
Width of Footing: 2 Meter --> 2 Meter No Conversion Required
Bearing Capacity Factor dependent on Unit Weight: 1.6 --> No Conversion Required
Shape Factor Dependent on Unit Weight: 1.6 --> No Conversion Required
Shape Factor dependent on Cohesion: 1.7 --> No Conversion Required
Bearing Capacity Factor dependent on Cohesion: 1.93 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
C = (qf-((σ'*Nq)+(0.5*γ*B*Nγ*sγ)))/(sc*Nc) --> (60000-((10*2.01)+(0.5*18000*2*1.6*1.6)))/(1.7*1.93)
Evaluating ... ...
C = 4236.48277964035
STEP 3: Convert Result to Output's Unit
4236.48277964035 Pascal -->4.23648277964035 Kilopascal (Check conversion ​here)
FINAL ANSWER
4.23648277964035 4.236483 Kilopascal <-- Cohesion
(Calculation completed in 00.004 seconds)

Credits

Creator Image
Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
Suraj Kumar has created this Calculator and 2100+ more calculators!
Verifier Image
Verified by Ishita Goyal
Meerut Institute of Engineering and Technology (MIET), Meerut
Ishita Goyal has verified this Calculator and 2600+ more calculators!

Specialization of Terzaghi's Equations Calculators

Bearing Capacity Factor Dependent on Cohesion
​ LaTeX ​ Go Bearing Capacity Factor dependent on Cohesion = (Ultimate Bearing Capacity-((Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight*Shape Factor Dependent on Unit Weight)))/(Shape Factor dependent on Cohesion*Cohesion)
Cohesion of Soil depending on Shape Factors
​ LaTeX ​ Go Cohesion = (Ultimate Bearing Capacity-((Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight*Shape Factor Dependent on Unit Weight)))/(Shape Factor dependent on Cohesion*Bearing Capacity Factor dependent on Cohesion)
Shape Factor Dependent on Cohesion
​ LaTeX ​ Go Shape Factor dependent on Cohesion = (Ultimate Bearing Capacity-((Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight*Shape Factor Dependent on Unit Weight)))/(Bearing Capacity Factor dependent on Cohesion*Cohesion)
Bearing Capacity depending on Shape Factors
​ LaTeX ​ Go Bearing Capacity = (Shape Factor dependent on Cohesion*Cohesion*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge (KN/m2)*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight*Shape Factor Dependent on Unit Weight)

Cohesion of Soil depending on Shape Factors Formula

​LaTeX ​Go
Cohesion = (Ultimate Bearing Capacity-((Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight*Shape Factor Dependent on Unit Weight)))/(Shape Factor dependent on Cohesion*Bearing Capacity Factor dependent on Cohesion)
C = (qf-((σ'*Nq)+(0.5*γ*B*Nγ*sγ)))/(sc*Nc)

What is Cohesion?

Cohesion is the stress (act) of sticking together. Yet, in engineering mechanics, particularly in soil mechanics, cohesion refers to shear strength under zero normal stress, or the intercept of a material's failure envelope with shear stress axis in the shear stress-normal stress space.

How to Calculate Cohesion of Soil depending on Shape Factors?

Cohesion of Soil depending on Shape Factors calculator uses Cohesion = (Ultimate Bearing Capacity-((Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight*Shape Factor Dependent on Unit Weight)))/(Shape Factor dependent on Cohesion*Bearing Capacity Factor dependent on Cohesion) to calculate the Cohesion, The Cohesion of Soil depending on Shape Factors formula is defined as the shear strength of soil. It represents the internal molecular attraction between soil particles. The cohesion of soil can vary depending on several factors, including the shape of the soil mass or the structural element under consideration. Cohesion is denoted by C symbol.

How to calculate Cohesion of Soil depending on Shape Factors using this online calculator? To use this online calculator for Cohesion of Soil depending on Shape Factors, enter Ultimate Bearing Capacity (qf), Effective Surcharge (σ'), Bearing Capacity Factor dependent on Surcharge (Nq), Unit Weight of Soil (γ), Width of Footing (B), Bearing Capacity Factor dependent on Unit Weight (Nγ), Shape Factor Dependent on Unit Weight (sγ), Shape Factor dependent on Cohesion (sc) & Bearing Capacity Factor dependent on Cohesion (Nc) and hit the calculate button. Here is how the Cohesion of Soil depending on Shape Factors calculation can be explained with given input values -> 0.000908 = (60000-((10*2.01)+(0.5*18000*2*1.6*1.6)))/(1.7*1.93).

FAQ

What is Cohesion of Soil depending on Shape Factors?
The Cohesion of Soil depending on Shape Factors formula is defined as the shear strength of soil. It represents the internal molecular attraction between soil particles. The cohesion of soil can vary depending on several factors, including the shape of the soil mass or the structural element under consideration and is represented as C = (qf-((σ'*Nq)+(0.5*γ*B*Nγ*sγ)))/(sc*Nc) or Cohesion = (Ultimate Bearing Capacity-((Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight*Shape Factor Dependent on Unit Weight)))/(Shape Factor dependent on Cohesion*Bearing Capacity Factor dependent on Cohesion). The Ultimate Bearing Capacity is defined as the minimum gross pressure intensity at the base of the foundation at which the soil fails in shear, Effective Surcharge also called as surcharge load refers to the vertical pressure or any load that acts over the ground surface additional to basic earth pressure, Bearing Capacity Factor dependent on Surcharge is a constant whose value depends upon surcharge, Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil, Width of Footing is the shorter dimension of the footing, Bearing Capacity Factor dependent on Unit Weight is a constant whose value depends upon unit weight of soil, Shape Factor dependent on Unit Weight is the factor in soil mechanics used in calculating bearing capacity, Shape Factor dependent on Cohesion is defined as ratio of the limit unit base resistance of a footing of any shape bearing on the soil surface to that of a strip footing on the soil surface & Bearing Capacity Factor dependent on Cohesion is a constant whose value depends upon the cohesion of soil.
How to calculate Cohesion of Soil depending on Shape Factors?
The Cohesion of Soil depending on Shape Factors formula is defined as the shear strength of soil. It represents the internal molecular attraction between soil particles. The cohesion of soil can vary depending on several factors, including the shape of the soil mass or the structural element under consideration is calculated using Cohesion = (Ultimate Bearing Capacity-((Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight*Shape Factor Dependent on Unit Weight)))/(Shape Factor dependent on Cohesion*Bearing Capacity Factor dependent on Cohesion). To calculate Cohesion of Soil depending on Shape Factors, you need Ultimate Bearing Capacity (qf), Effective Surcharge (σ'), Bearing Capacity Factor dependent on Surcharge (Nq), Unit Weight of Soil (γ), Width of Footing (B), Bearing Capacity Factor dependent on Unit Weight (Nγ), Shape Factor Dependent on Unit Weight (sγ), Shape Factor dependent on Cohesion (sc) & Bearing Capacity Factor dependent on Cohesion (Nc). With our tool, you need to enter the respective value for Ultimate Bearing Capacity, Effective Surcharge, Bearing Capacity Factor dependent on Surcharge, Unit Weight of Soil, Width of Footing, Bearing Capacity Factor dependent on Unit Weight, Shape Factor Dependent on Unit Weight, Shape Factor dependent on Cohesion & Bearing Capacity Factor dependent on Cohesion and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!