Cohesion of Soil given Strip Footing and Bearing Capacity Calculator

✖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.ⓘ Ultimate Bearing Capacity [q_f]			+10% -10%
✖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.ⓘ Effective Surcharge [σ']			+10% -10%
✖Bearing Capacity Factor dependent on Surcharge is a constant whose value depends upon surcharge.ⓘ Bearing Capacity Factor dependent on Surcharge [N_q]			+10% -10%
✖Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil.ⓘ Unit Weight of Soil [γ]			+10% -10%
✖Width of Footing is the shorter dimension of the footing.ⓘ Width of Footing [B]			+10% -10%
✖Bearing Capacity Factor dependent on Unit Weight is a constant whose value depends upon unit weight of soil.ⓘ Bearing Capacity Factor dependent on Unit Weight [N_γ]			+10% -10%
✖Bearing Capacity Factor dependent on Cohesion is a constant whose value depends upon the cohesion of soil.ⓘ Bearing Capacity Factor dependent on Cohesion [N_c]			+10% -10%

✖Cohesion of Soil given Strip Footing is a measure of the intermolecular forces within the soil that enable it to resist being pulled apart.ⓘ Cohesion of Soil given Strip Footing and Bearing Capacity [C_st]

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Formula

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Cohesion of Soil given Strip Footing and Bearing Capacity

Formula

C st = \frac{q f - ((σ' \cdot N q) + (0.5 \cdot γ \cdot B \cdot N γ \cdot 1))}{1 \cdot N c}

Example

16.15539 kPa = \frac{60 kPa - ((10.0 Pa \cdot 2.01) + (0.5 \cdot 18 kN/m³ \cdot 2 m \cdot 1.6 \cdot 1))}{1 \cdot 1.93}

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Cohesion of Soil given Strip Footing and Bearing Capacity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cohesion of Soil given Strip Footing = (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*1)))/(1*Bearing Capacity Factor dependent on Cohesion)
C_st = (q_f-((σ'*N_q)+(0.5*γ*B*N_γ*1)))/(1*N_c)
This formula uses 8 Variables

Variables Used

Cohesion of Soil given Strip Footing - (Measured in Pascal) - Cohesion of Soil given Strip Footing is a measure of the intermolecular forces within the soil that enable it to resist being pulled apart.
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.
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
Bearing Capacity Factor dependent on Cohesion: 1.93 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_st = (q_f-((σ'*N_q)+(0.5*γ*B*N_γ*1)))/(1*N_c) --> (60000-((10*2.01)+(0.5*18000*2*1.6*1)))/(1*1.93)

Evaluating ... ...

C_st = 16155.3886010363

STEP 3: Convert Result to Output's Unit

16155.3886010363 Pascal -->16.1553886010363 Kilopascal (Check conversion here)

FINAL ANSWER

16.1553886010363 ≈ 16.15539 Kilopascal <-- Cohesion of Soil given Strip Footing

(Calculation completed in 00.009 seconds)

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Home » Engineering » Civil » Geotechnical Engineering » Bearing Capacity of Soil by Terzaghi's Analysis » Specialization of Terzaghi's Equations » Cohesion of Soil given Strip Footing and Bearing Capacity

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< Specialization of Terzaghi's Equations Calculators

Bearing Capacity Factor Dependent on Cohesion

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

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

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

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 given Strip Footing and Bearing Capacity Formula

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 given Strip Footing and Bearing Capacity?

Cohesion of Soil given Strip Footing and Bearing Capacity calculator uses Cohesion of Soil given Strip Footing = (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*1)))/(1*Bearing Capacity Factor dependent on Cohesion) to calculate the Cohesion of Soil given Strip Footing, The Cohesion of Soil given Strip Footing and Bearing Capacity 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, considering strip footing. Cohesion of Soil given Strip Footing is denoted by C_st symbol.

How to calculate Cohesion of Soil given Strip Footing and Bearing Capacity using this online calculator? To use this online calculator for Cohesion of Soil given Strip Footing and Bearing Capacity, enter Ultimate Bearing Capacity (q_f), Effective Surcharge (σ'), Bearing Capacity Factor dependent on Surcharge (N_q), Unit Weight of Soil (γ), Width of Footing (B), Bearing Capacity Factor dependent on Unit Weight (N_γ) & Bearing Capacity Factor dependent on Cohesion (N_c) and hit the calculate button. Here is how the Cohesion of Soil given Strip Footing and Bearing Capacity calculation can be explained with given input values -> 0.016155 = (60000-((10*2.01)+(0.5*18000*2*1.6*1)))/(1*1.93).

FAQ

What is Cohesion of Soil given Strip Footing and Bearing Capacity?

The Cohesion of Soil given Strip Footing and Bearing Capacity 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, considering strip footing and is represented as C_st = (q_f-((σ'*N_q)+(0.5*γ*B*N_γ*1)))/(1*N_c) or Cohesion of Soil given Strip Footing = (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*1)))/(1*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 & Bearing Capacity Factor dependent on Cohesion is a constant whose value depends upon the cohesion of soil.

How to calculate Cohesion of Soil given Strip Footing and Bearing Capacity?

The Cohesion of Soil given Strip Footing and Bearing Capacity 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, considering strip footing is calculated using Cohesion of Soil given Strip Footing = (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*1)))/(1*Bearing Capacity Factor dependent on Cohesion). To calculate Cohesion of Soil given Strip Footing and Bearing Capacity, you need Ultimate Bearing Capacity (q_f), Effective Surcharge (σ'), Bearing Capacity Factor dependent on Surcharge (N_q), Unit Weight of Soil (γ), Width of Footing (B), Bearing Capacity Factor dependent on Unit Weight (N_γ) & Bearing Capacity Factor dependent on Cohesion (N_c). 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 & 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.

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