Width of Footing given Shape Factor 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%
✖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]			+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%
✖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%
✖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%
✖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%
✖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%
✖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%

✖Width of Footing is the shorter dimension of the footing.ⓘ Width of Footing given Shape Factor [B]

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Width of Footing given Shape Factor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Width of Footing = (Ultimate Bearing Capacity-((Shape Factor dependent on Cohesion*Cohesion*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Bearing Capacity Factor dependent on Unit Weight*Unit Weight of Soil*Shape Factor Dependent on Unit Weight)
B = (q_f-((s_c*C*N_c)+(σ'*N_q)))/(0.5*N_γ*γ*s_γ)
This formula uses 10 Variables

Variables Used

Width of Footing - (Measured in Meter) - Width of Footing is the shorter dimension of the footing.
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.
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.
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.
Bearing Capacity Factor dependent on Cohesion - Bearing Capacity Factor dependent on Cohesion is a constant whose value depends upon the cohesion of soil.
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.
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.
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.
Shape Factor Dependent on Unit Weight - Shape Factor dependent on Unit Weight is the factor in soil mechanics used in calculating bearing capacity.

STEP 1: Convert Input(s) to Base Unit

Ultimate Bearing Capacity: 60 Kilopascal --> 60000 Pascal (Check conversion here)
Shape Factor dependent on Cohesion: 1.7 --> No Conversion Required
Cohesion: 4.23 Kilopascal --> 4230 Pascal (Check conversion here)
Bearing Capacity Factor dependent on Cohesion: 1.93 --> No Conversion Required
Effective Surcharge: 10 Pascal --> 10 Pascal No Conversion Required
Bearing Capacity Factor dependent on Surcharge: 2.01 --> No Conversion Required
Bearing Capacity Factor dependent on Unit Weight: 1.6 --> No Conversion Required
Unit Weight of Soil: 18 Kilonewton per Cubic Meter --> 18000 Newton per Cubic Meter (Check conversion here)
Shape Factor Dependent on Unit Weight: 1.6 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

B = (q_f-((s_c*C*N_c)+(σ'*N_q)))/(0.5*N_γ*γ*s_γ) --> (60000-((1.7*4230*1.93)+(10*2.01)))/(0.5*1.6*18000*1.6)

Evaluating ... ...

B = 2.00092317708333

STEP 3: Convert Result to Output's Unit

2.00092317708333 Meter --> No Conversion Required

FINAL ANSWER

2.00092317708333 ≈ 2.000923 Meter <-- Width of Footing

(Calculation completed in 00.007 seconds)

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Home » Engineering » Civil » Geotechnical Engineering » Bearing Capacity of Soil by Terzaghi's Analysis » Specialization of Terzaghi's Equations » Width of Footing given Shape Factor

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< 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)

Width of Footing given Shape Factor Formula

LaTeX Go

What is Footing?

Footings are an important part of foundation construction. They are typically made of concrete with rebar reinforcement that has been poured into an excavated trench. The purpose of footings is to support the foundation and prevent settling. Footings are especially important in areas with troublesome soils.

How to Calculate Width of Footing given Shape Factor?

Width of Footing given Shape Factor calculator uses Width of Footing = (Ultimate Bearing Capacity-((Shape Factor dependent on Cohesion*Cohesion*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Bearing Capacity Factor dependent on Unit Weight*Unit Weight of Soil*Shape Factor Dependent on Unit Weight) to calculate the Width of Footing, The Width of Footing given Shape Factor formula is defined as the value of width of footing when we have prior information of shape factors. Width of Footing is denoted by B symbol.

How to calculate Width of Footing given Shape Factor using this online calculator? To use this online calculator for Width of Footing given Shape Factor, enter Ultimate Bearing Capacity (q_f), Shape Factor dependent on Cohesion (s_c), Cohesion (C), Bearing Capacity Factor dependent on Cohesion (N_c), Effective Surcharge (σ'), Bearing Capacity Factor dependent on Surcharge (N_q), Bearing Capacity Factor dependent on Unit Weight (N_γ), Unit Weight of Soil (γ) & Shape Factor Dependent on Unit Weight (s_γ) and hit the calculate button. Here is how the Width of Footing given Shape Factor calculation can be explained with given input values -> -0.20569 = (60000-((1.7*4230*1.93)+(10*2.01)))/(0.5*1.6*18000*1.6).

FAQ

What is Width of Footing given Shape Factor?

The Width of Footing given Shape Factor formula is defined as the value of width of footing when we have prior information of shape factors and is represented as B = (q_f-((s_c*C*N_c)+(σ'*N_q)))/(0.5*N_γ*γ*s_γ) or Width of Footing = (Ultimate Bearing Capacity-((Shape Factor dependent on Cohesion*Cohesion*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Bearing Capacity Factor dependent on Unit Weight*Unit Weight of Soil*Shape Factor Dependent on Unit Weight). 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, 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, 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, Bearing Capacity Factor dependent on Cohesion is a constant whose value depends upon the cohesion of soil, 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, Bearing Capacity Factor dependent on Unit Weight is a constant whose value depends upon unit weight of soil, Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil & Shape Factor dependent on Unit Weight is the factor in soil mechanics used in calculating bearing capacity.

How to calculate Width of Footing given Shape Factor?

The Width of Footing given Shape Factor formula is defined as the value of width of footing when we have prior information of shape factors is calculated using Width of Footing = (Ultimate Bearing Capacity-((Shape Factor dependent on Cohesion*Cohesion*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Bearing Capacity Factor dependent on Unit Weight*Unit Weight of Soil*Shape Factor Dependent on Unit Weight). To calculate Width of Footing given Shape Factor, you need Ultimate Bearing Capacity (q_f), Shape Factor dependent on Cohesion (s_c), Cohesion (C), Bearing Capacity Factor dependent on Cohesion (N_c), Effective Surcharge (σ'), Bearing Capacity Factor dependent on Surcharge (N_q), Bearing Capacity Factor dependent on Unit Weight (N_γ), Unit Weight of Soil (γ) & Shape Factor Dependent on Unit Weight (s_γ). With our tool, you need to enter the respective value for Ultimate Bearing Capacity, Shape Factor dependent on Cohesion, Cohesion, Bearing Capacity Factor dependent on Cohesion, Effective Surcharge, Bearing Capacity Factor dependent on Surcharge, Bearing Capacity Factor dependent on Unit Weight, Unit Weight of Soil & Shape Factor Dependent on Unit Weight 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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