Width of Footing given Bearing Capacity for Local Shear Failure Calculator

✖Ultimate Bearing Capacity in Soil is defined as the minimum gross pressure intensity at the base of the foundation at which the soil fails in shear.ⓘ Ultimate Bearing Capacity in Soil [q_fc]			+10% -10%
✖Cohesion in Soil as Kilopascal 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 in Soil as Kilopascal [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 in KiloPascal 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 in KiloPascal [σ_s]			+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%

✖Width of Footing is the shorter dimension of the footing.ⓘ Width of Footing given Bearing Capacity for Local Shear Failure [B]

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Width of Footing given Bearing Capacity for Local Shear Failure Solution

STEP 0: Pre-Calculation Summary

Formula Used

Width of Footing = (Ultimate Bearing Capacity in Soil-(((2/3)*Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Bearing Capacity Factor dependent on Unit Weight*Unit Weight of Soil)
B = (q_fc-(((2/3)*C*N_c)+(σ_s*N_q)))/(0.5*N_γ*γ)
This formula uses 8 Variables

Variables Used

Width of Footing - (Measured in Meter) - Width of Footing is the shorter dimension of the footing.
Ultimate Bearing Capacity in Soil - (Measured in Pascal) - Ultimate Bearing Capacity in Soil is defined as the minimum gross pressure intensity at the base of the foundation at which the soil fails in shear.
Cohesion in Soil as Kilopascal - (Measured in Pascal) - Cohesion in Soil as Kilopascal 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 in KiloPascal - (Measured in Pascal) - Effective Surcharge in KiloPascal 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.

STEP 1: Convert Input(s) to Base Unit

Ultimate Bearing Capacity in Soil: 127.8 Kilopascal --> 127800 Pascal (Check conversion here)
Cohesion in Soil as Kilopascal: 1.27 Kilopascal --> 1270 Pascal (Check conversion here)
Bearing Capacity Factor dependent on Cohesion: 9 --> No Conversion Required
Effective Surcharge in KiloPascal: 45.9 Kilonewton per Square Meter --> 45900 Pascal (Check conversion here)
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)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

B = (q_fc-(((2/3)*C*N_c)+(σ_s*N_q)))/(0.5*N_γ*γ) --> (127800-(((2/3)*1270*9)+(45900*2.01)))/(0.5*1.6*18000)

Evaluating ... ...

B = 1.93895833333333

STEP 3: Convert Result to Output's Unit

1.93895833333333 Meter --> No Conversion Required

FINAL ANSWER

1.93895833333333 ≈ 1.938958 Meter <-- Width of Footing

(Calculation completed in 00.020 seconds)

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Home » Engineering » Civil » Geotechnical Engineering » Terzaghi's Analysis Shear Failure Theories » General and Local Shear Failure » Width of Footing given Bearing Capacity for Local Shear Failure

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< General and Local Shear Failure Calculators

Mobilised Angle of Shearing Resistance Corresponding to Local Shear Failure

LaTeX Go Angle of Mobilized Friction = atan((2/3)*tan((Angle of Shearing Resistance)))

Angle of Shearing Resistance Corresponding to Local Shear Failure

LaTeX Go Angle of Shearing Resistance = atan((3/2)*tan((Angle of Mobilized Friction)))

Cohesion of Soil given Mobilised Cohesion Corresponding to Local Shear Failure

LaTeX Go Cohesion of Soil = (3/2)*Mobilised Cohesion

Mobilised Cohesion Corresponding to Local Shear Failure

LaTeX Go Mobilised Cohesion = (2/3)*Cohesion of Soil

Width of Footing given Bearing Capacity for Local Shear Failure 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 Bearing Capacity for Local Shear Failure?

Width of Footing given Bearing Capacity for Local Shear Failure calculator uses Width of Footing = (Ultimate Bearing Capacity in Soil-(((2/3)*Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Bearing Capacity Factor dependent on Unit Weight*Unit Weight of Soil) to calculate the Width of Footing, The Width of Footing given Bearing Capacity for Local Shear Failure is defined as the value of width of footing when we have prior information of other parameters used. Width of Footing is denoted by B symbol.

How to calculate Width of Footing given Bearing Capacity for Local Shear Failure using this online calculator? To use this online calculator for Width of Footing given Bearing Capacity for Local Shear Failure, enter Ultimate Bearing Capacity in Soil (q_fc), Cohesion in Soil as Kilopascal (C), Bearing Capacity Factor dependent on Cohesion (N_c), Effective Surcharge in KiloPascal (σ_s), Bearing Capacity Factor dependent on Surcharge (N_q), Bearing Capacity Factor dependent on Unit Weight (N_γ) & Unit Weight of Soil (γ) and hit the calculate button. Here is how the Width of Footing given Bearing Capacity for Local Shear Failure calculation can be explained with given input values -> 1.970833 = (127800-(((2/3)*1270*9)+(45900*2.01)))/(0.5*1.6*18000).

FAQ

What is Width of Footing given Bearing Capacity for Local Shear Failure?

The Width of Footing given Bearing Capacity for Local Shear Failure is defined as the value of width of footing when we have prior information of other parameters used and is represented as B = (q_fc-(((2/3)*C*N_c)+(σ_s*N_q)))/(0.5*N_γ*γ) or Width of Footing = (Ultimate Bearing Capacity in Soil-(((2/3)*Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Bearing Capacity Factor dependent on Unit Weight*Unit Weight of Soil). Ultimate Bearing Capacity in Soil is defined as the minimum gross pressure intensity at the base of the foundation at which the soil fails in shear, Cohesion in Soil as Kilopascal 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 in KiloPascal 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.

How to calculate Width of Footing given Bearing Capacity for Local Shear Failure?

The Width of Footing given Bearing Capacity for Local Shear Failure is defined as the value of width of footing when we have prior information of other parameters used is calculated using Width of Footing = (Ultimate Bearing Capacity in Soil-(((2/3)*Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Bearing Capacity Factor dependent on Unit Weight*Unit Weight of Soil). To calculate Width of Footing given Bearing Capacity for Local Shear Failure, you need Ultimate Bearing Capacity in Soil (q_fc), Cohesion in Soil as Kilopascal (C), Bearing Capacity Factor dependent on Cohesion (N_c), Effective Surcharge in KiloPascal (σ_s), Bearing Capacity Factor dependent on Surcharge (N_q), Bearing Capacity Factor dependent on Unit Weight (N_γ) & Unit Weight of Soil (γ). With our tool, you need to enter the respective value for Ultimate Bearing Capacity in Soil, Cohesion in Soil as Kilopascal, Bearing Capacity Factor dependent on Cohesion, Effective Surcharge in KiloPascal, Bearing Capacity Factor dependent on Surcharge, Bearing Capacity Factor dependent on Unit Weight & Unit Weight of Soil and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Width of Footing?

In this formula, Width of Footing uses Ultimate Bearing Capacity in Soil, Cohesion in Soil as Kilopascal, Bearing Capacity Factor dependent on Cohesion, Effective Surcharge in KiloPascal, Bearing Capacity Factor dependent on Surcharge, Bearing Capacity Factor dependent on Unit Weight & Unit Weight of Soil. We can use 1 other way(s) to calculate the same, which is/are as follows -

Width of Footing = (Ultimate Bearing Capacity in Soil-(((2/3)*Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+((Unit Weight of Soil*Depth of Footing in Soil)*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Bearing Capacity Factor dependent on Unit Weight*Unit Weight of Soil)

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