Bearing capacity for Local Shear Failure given Depth of Footing Solution

STEP 0: Pre-Calculation Summary
Formula Used
Ultimate Bearing Capacity = ((2/3)*Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion)+((Unit Weight of Soil*Depth of Footing)*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)
qf = ((2/3)*Cs*Nc)+((γ*D)*Nq)+(0.5*γ*B*Nγ)
This formula uses 8 Variables
Variables Used
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.
Cohesion of Soil - (Measured in Pascal) - Cohesion of Soil 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.
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.
Depth of Footing - (Measured in Meter) - Depth of Footing is the longer dimension of the footing.
Bearing Capacity Factor dependent on Surcharge - Bearing Capacity Factor dependent on Surcharge is a constant whose value depends upon surcharge.
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.
STEP 1: Convert Input(s) to Base Unit
Cohesion of Soil: 5 Kilopascal --> 5000 Pascal (Check conversion ​here)
Bearing Capacity Factor dependent on Cohesion: 9 --> No Conversion Required
Unit Weight of Soil: 18 Kilonewton per Cubic Meter --> 18000 Newton per Cubic Meter (Check conversion ​here)
Depth of Footing: 1.01 Meter --> 1.01 Meter No Conversion Required
Bearing Capacity Factor dependent on Surcharge: 2.01 --> No Conversion Required
Width of Footing: 2 Meter --> 2 Meter No Conversion Required
Bearing Capacity Factor dependent on Unit Weight: 1.6 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
qf = ((2/3)*Cs*Nc)+((γ*D)*Nq)+(0.5*γ*B*Nγ) --> ((2/3)*5000*9)+((18000*1.01)*2.01)+(0.5*18000*2*1.6)
Evaluating ... ...
qf = 95341.8
STEP 3: Convert Result to Output's Unit
95341.8 Pascal -->95.3418 Kilopascal (Check conversion ​here)
FINAL ANSWER
95.3418 Kilopascal <-- Ultimate Bearing Capacity
(Calculation completed in 00.004 seconds)

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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

Bearing capacity for Local Shear Failure given Depth of Footing Formula

​LaTeX ​Go
Ultimate Bearing Capacity = ((2/3)*Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion)+((Unit Weight of Soil*Depth of Footing)*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)
qf = ((2/3)*Cs*Nc)+((γ*D)*Nq)+(0.5*γ*B*Nγ)

What is Bearing Capacity?

In geotechnical engineering, bearing capacity is the capacity of soil to support the loads applied to the ground. The bearing capacity of soil is the maximum average contact pressure between the foundation and the soil which should not produce shear failure in the soil.

How to Calculate Bearing capacity for Local Shear Failure given Depth of Footing?

Bearing capacity for Local Shear Failure given Depth of Footing calculator uses Ultimate Bearing Capacity = ((2/3)*Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion)+((Unit Weight of Soil*Depth of Footing)*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight) to calculate the Ultimate Bearing Capacity, The Bearing capacity for Local Shear Failure given Depth of Footing is defined as local shear failure occurs when a foundation's depth is insufficient, causing soil shear failure beneath the footing. Ultimate Bearing Capacity is denoted by qf symbol.

How to calculate Bearing capacity for Local Shear Failure given Depth of Footing using this online calculator? To use this online calculator for Bearing capacity for Local Shear Failure given Depth of Footing, enter Cohesion of Soil (Cs), Bearing Capacity Factor dependent on Cohesion (Nc), Unit Weight of Soil (γ), Depth of Footing (D), Bearing Capacity Factor dependent on Surcharge (Nq), Width of Footing (B) & Bearing Capacity Factor dependent on Unit Weight (Nγ) and hit the calculate button. Here is how the Bearing capacity for Local Shear Failure given Depth of Footing calculation can be explained with given input values -> 0.09516 = ((2/3)*5000*9)+((18000*1.01)*2.01)+(0.5*18000*2*1.6).

FAQ

What is Bearing capacity for Local Shear Failure given Depth of Footing?
The Bearing capacity for Local Shear Failure given Depth of Footing is defined as local shear failure occurs when a foundation's depth is insufficient, causing soil shear failure beneath the footing and is represented as qf = ((2/3)*Cs*Nc)+((γ*D)*Nq)+(0.5*γ*B*Nγ) or Ultimate Bearing Capacity = ((2/3)*Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion)+((Unit Weight of Soil*Depth of Footing)*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight). Cohesion of Soil 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, Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil, Depth of Footing is the longer dimension of the footing, Bearing Capacity Factor dependent on Surcharge is a constant whose value depends upon surcharge, 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.
How to calculate Bearing capacity for Local Shear Failure given Depth of Footing?
The Bearing capacity for Local Shear Failure given Depth of Footing is defined as local shear failure occurs when a foundation's depth is insufficient, causing soil shear failure beneath the footing is calculated using Ultimate Bearing Capacity = ((2/3)*Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion)+((Unit Weight of Soil*Depth of Footing)*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight). To calculate Bearing capacity for Local Shear Failure given Depth of Footing, you need Cohesion of Soil (Cs), Bearing Capacity Factor dependent on Cohesion (Nc), Unit Weight of Soil (γ), Depth of Footing (D), Bearing Capacity Factor dependent on Surcharge (Nq), Width of Footing (B) & Bearing Capacity Factor dependent on Unit Weight (Nγ). With our tool, you need to enter the respective value for Cohesion of Soil, Bearing Capacity Factor dependent on Cohesion, Unit Weight of Soil, Depth of Footing, Bearing Capacity Factor dependent on Surcharge, Width of Footing & Bearing Capacity 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.
How many ways are there to calculate Ultimate Bearing Capacity?
In this formula, Ultimate Bearing Capacity uses Cohesion of Soil, Bearing Capacity Factor dependent on Cohesion, Unit Weight of Soil, Depth of Footing, Bearing Capacity Factor dependent on Surcharge, Width of Footing & Bearing Capacity Factor dependent on Unit Weight. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Ultimate Bearing Capacity = ((2/3)*Cohesion of Soil*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)
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