Shape Factor Dependent on Cohesion 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%
✖Shape Factor dependent on Unit Weight is the factor in soil mechanics used in calculating bearing capacity.ⓘ Shape Factor Dependent on Unit Weight [s_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 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.ⓘ Cohesion [C]			+10% -10%

✖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.ⓘ Shape Factor Dependent on Cohesion [s_c]

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Formula

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Shape Factor Dependent on Cohesion

Formula

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

Example

1.702605 = \frac{60 kPa - ((10.0 Pa \cdot 2.01) + (0.5 \cdot 18 kN/m³ \cdot 2 m \cdot 1.6 \cdot 1.60))}{1.93 \cdot 4.23 kPa}

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Shape Factor Dependent on Cohesion Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
s_c = (q_f-((σ'*N_q)+(0.5*γ*B*N_γ*s_γ)))/(N_c*C)
This formula uses 10 Variables

Variables Used

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.
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.
Bearing Capacity Factor dependent on Cohesion - Bearing Capacity Factor dependent on Cohesion is a constant whose value depends upon the cohesion of soil.
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.

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
Bearing Capacity Factor dependent on Cohesion: 1.93 --> No Conversion Required
Cohesion: 4.23 Kilopascal --> 4230 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

s_c = (q_f-((σ'*N_q)+(0.5*γ*B*N_γ*s_γ)))/(N_c*C) --> (60000-((10*2.01)+(0.5*18000*2*1.6*1.6)))/(1.93*4230)

Evaluating ... ...

s_c = 1.70260537243229

STEP 3: Convert Result to Output's Unit

1.70260537243229 --> No Conversion Required

FINAL ANSWER

1.70260537243229 ≈ 1.702605 <-- Shape Factor dependent on Cohesion

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Geotechnical Engineering » Bearing Capacity of Soil by Terzaghi's Analysis » Specialization of Terzaghi's Equations » Shape Factor Dependent on Cohesion

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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)

Shape Factor Dependent on Cohesion Formula

What is Shape Factor?

Shape factor refers to a value that is affected by an object's shape but is independent of its dimensions. It may refer to one of number of values in physics, engineering, image analysis, or statistics. In physics: Shape factor, or shaping factor, a performance measure for filters such as band-pass filters.

How to Calculate Shape Factor Dependent on Cohesion?

Shape Factor Dependent on Cohesion calculator uses 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) to calculate the Shape Factor dependent on Cohesion, The Shape Factor Dependent on Cohesion formula is defined as the value of shape factor dependent on cohesion when we have prior information of other parameters used. It is a parameter that quantifies how the shape of a soil element or foundation affects its bearing capacity when cohesive forces are present. Shape Factor dependent on Cohesion is denoted by s_c symbol.

How to calculate Shape Factor Dependent on Cohesion using this online calculator? To use this online calculator for Shape Factor Dependent on Cohesion, 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), Shape Factor Dependent on Unit Weight (s_γ), Bearing Capacity Factor dependent on Cohesion (N_c) & Cohesion (C) and hit the calculate button. Here is how the Shape Factor Dependent on Cohesion calculation can be explained with given input values -> 0.365114 = (60000-((10*2.01)+(0.5*18000*2*1.6*1.6)))/(1.93*4230).

FAQ

What is Shape Factor Dependent on Cohesion?

The Shape Factor Dependent on Cohesion formula is defined as the value of shape factor dependent on cohesion when we have prior information of other parameters used. It is a parameter that quantifies how the shape of a soil element or foundation affects its bearing capacity when cohesive forces are present and is represented as s_c = (q_f-((σ'*N_q)+(0.5*γ*B*N_γ*s_γ)))/(N_c*C) or 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). 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, Bearing Capacity Factor dependent on Cohesion is a constant whose value depends upon the cohesion of soil & 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.

How to calculate Shape Factor Dependent on Cohesion?

The Shape Factor Dependent on Cohesion formula is defined as the value of shape factor dependent on cohesion when we have prior information of other parameters used. It is a parameter that quantifies how the shape of a soil element or foundation affects its bearing capacity when cohesive forces are present is calculated using 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). To calculate Shape Factor Dependent on Cohesion, 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), Shape Factor Dependent on Unit Weight (s_γ), Bearing Capacity Factor dependent on Cohesion (N_c) & Cohesion (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, Shape Factor Dependent on Unit Weight, Bearing Capacity Factor dependent on Cohesion & 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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