Bearing Capacity depending on Shape Factors Solution

STEP 0: Pre-Calculation Summary
Formula Used
Ultimate Bearing Capacity = (Shape Factor dependent on Cohesion*Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(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)
qf = (sc*C*Nc)+(σ`*Nq)+(0.5*γ*B*Nγ*sγ)
This formula uses 10 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.
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 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 - (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 of soil.
STEP 1: Convert Input(s) to Base Unit
Shape Factor dependent on Cohesion: 1.7 --> No Conversion Required
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: 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
STEP 2: Evaluate Formula
Substituting Input Values in Formula
qf = (sc*C*Nc)+(σ`*Nq)+(0.5*γ*B*Nγ*sγ) --> (1.7*1270*9)+(10*2.01)+(0.5*18000*2*1.6*1.6)
Evaluating ... ...
qf = 65531.1
STEP 3: Convert Result to Output's Unit
65531.1 Pascal -->65.5311 Kilopascal (Check conversion here)
FINAL ANSWER
65.5311 Kilopascal <-- Ultimate Bearing Capacity
(Calculation completed in 00.004 seconds)

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23 Specialization of Terzaghi's Equations Calculators

Bearing Capacity Factor Dependent on Cohesion Depending on Shape Factors
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 in Soil as Kilopascal)
Cohesion of Soil depending on Shape Factors
Go Cohesion in Soil as Kilopascal = (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 in Soil as Kilopascal)
Bearing Capacity Factor Dependent on Unit Weight depending on Shape Factors
Go Bearing Capacity Factor dependent on Unit Weight = (Ultimate Bearing Capacity-((Shape Factor dependent on Cohesion *Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Width of Footing*Unit Weight of Soil*Shape Factor Dependent on Unit Weight)
Unit Weight of Soil given Shape Factor
Go Unit Weight of Soil = (Ultimate Bearing Capacity-((Shape Factor dependent on Cohesion *Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Bearing Capacity Factor dependent on Unit Weight*Width of Footing*Shape Factor Dependent on Unit Weight)
Shape Factor Dependent on Unit Weight
Go Shape Factor Dependent on Unit Weight = (Ultimate Bearing Capacity-((Shape Factor dependent on Cohesion *Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Width of Footing*Unit Weight of Soil*Bearing Capacity Factor dependent on Unit Weight)
Width of Footing given Shape Factor
Go Width of Footing = (Ultimate Bearing Capacity-((Shape Factor dependent on Cohesion *Cohesion in Soil as Kilopascal*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)
Bearing Capacity depending on Shape Factors
Go Ultimate Bearing Capacity = (Shape Factor dependent on Cohesion*Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(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)
Effective Surcharge given Square Footing and Bearing Capacity
Go Effective Surcharge in KiloPascal = (Ultimate Bearing Capacity-((1.3 *Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight*0.8 )))/Bearing Capacity Factor dependent on Surcharge
Effective Surcharge given Round Footing and Bearing Capacity
Go Effective Surcharge in KiloPascal = (Ultimate Bearing Capacity-((1.3 *Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight*0.6 )))/Bearing Capacity Factor dependent on Surcharge
Effective Surcharge given Strip Footing and Bearing Capacity
Go Effective Surcharge in KiloPascal = (Ultimate Bearing Capacity-((1 *Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight*1 )))/Bearing Capacity Factor dependent on Surcharge
Unit Weight of Soil given Square Footing and Bearing Capacity
Go Unit Weight of Soil = (Ultimate Bearing Capacity-((1.3 *Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Bearing Capacity Factor dependent on Unit Weight*Width of Footing*0.8)
Unit Weight of Soil given Round Footing and Bearing Capacity
Go Unit Weight of Soil = (Ultimate Bearing Capacity-((1.3 *Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Bearing Capacity Factor dependent on Unit Weight*Width of Footing*0.6)
Cohesion of Soil given Square Footing and Bearing Capacity
Go Cohesion in Soil as Kilopascal = (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*0.8 )))/(1.3*Bearing Capacity Factor dependent on Cohesion)
Width of Footing given Square Footing and Bearing Capacity
Go Width of Footing = (Ultimate Bearing Capacity-((1.3 *Cohesion in Soil as Kilopascal*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*0.8)
Cohesion of Soil given Round Footing and Bearing Capacity
Go Cohesion in Soil as Kilopascal = (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*0.6 )))/(1.3*Bearing Capacity Factor dependent on Cohesion)
Width of Footing given Round Footing and Bearing Capacity
Go Width of Footing = (Ultimate Bearing Capacity-((1.3 *Cohesion in Soil as Kilopascal*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*0.6)
Unit Weight of Soil given Strip Footing and Bearing Capacity
Go Unit Weight of Soil = (Ultimate Bearing Capacity-((1 *Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Bearing Capacity Factor dependent on Unit Weight*Width of Footing*1)
Cohesion of Soil given Strip Footing and Bearing Capacity
Go Cohesion in Soil as Kilopascal = (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)
Width of Footing given Strip Footing and Bearing Capacity
Go Width of Footing = (Ultimate Bearing Capacity-((1 *Cohesion in Soil as Kilopascal*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*1)
Bearing Capacity for Square Footing
Go Ultimate Bearing Capacity = (1.3*Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight*0.8)
Bearing Capacity for Round Footing
Go Ultimate Bearing Capacity = (1.3*Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight*0.6)
Bearing Capacity for Strip Footing
Go Ultimate Bearing Capacity = (Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)

Bearing Capacity depending on Shape Factors Formula

Ultimate Bearing Capacity = (Shape Factor dependent on Cohesion*Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(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)
qf = (sc*C*Nc)+(σ`*Nq)+(0.5*γ*B*Nγ*sγ)

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.
Below are few factors influencing Bearing Capacity: Soil Strength. Foundation Width. Foundation Depth. Soil Weight and Surcharge. Spacing Between Foundations. Earthquake and Dynamic Motion. Frost Action. Subsurface Voids

How to Calculate Bearing Capacity depending on Shape Factors?

Bearing Capacity depending on Shape Factors calculator uses Ultimate Bearing Capacity = (Shape Factor dependent on Cohesion*Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(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) to calculate the Ultimate Bearing Capacity, The Bearing Capacity depending on Shape Factors is defined as the ability of the underlying soil to support the foundation loads without shear failure. Ultimate Bearing Capacity is denoted by qf symbol.

How to calculate Bearing Capacity depending on Shape Factors using this online calculator? To use this online calculator for Bearing Capacity depending on Shape Factors, enter Shape Factor dependent on Cohesion (sc), Cohesion in Soil as Kilopascal (C), Bearing Capacity Factor dependent on Cohesion (Nc), Effective Surcharge (σ`), Bearing Capacity Factor dependent on Surcharge (Nq), Unit Weight of Soil (γ), Width of Footing (B), Bearing Capacity Factor dependent on Unit Weight (Nγ) & Shape Factor Dependent on Unit Weight (sγ) and hit the calculate button. Here is how the Bearing Capacity depending on Shape Factors calculation can be explained with given input values -> 0.065531 = (1.7*1270*9)+(10*2.01)+(0.5*18000*2*1.6*1.6).

FAQ

What is Bearing Capacity depending on Shape Factors?
The Bearing Capacity depending on Shape Factors is defined as the ability of the underlying soil to support the foundation loads without shear failure and is represented as qf = (sc*C*Nc)+(σ`*Nq)+(0.5*γ*B*Nγ*sγ) or Ultimate Bearing Capacity = (Shape Factor dependent on Cohesion*Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(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 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 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 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 of soil.
How to calculate Bearing Capacity depending on Shape Factors?
The Bearing Capacity depending on Shape Factors is defined as the ability of the underlying soil to support the foundation loads without shear failure is calculated using Ultimate Bearing Capacity = (Shape Factor dependent on Cohesion*Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(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). To calculate Bearing Capacity depending on Shape Factors, you need Shape Factor dependent on Cohesion (sc), Cohesion in Soil as Kilopascal (C), Bearing Capacity Factor dependent on Cohesion (Nc), Effective Surcharge (σ`), Bearing Capacity Factor dependent on Surcharge (Nq), Unit Weight of Soil (γ), Width of Footing (B), Bearing Capacity Factor dependent on Unit Weight (Nγ) & Shape Factor Dependent on Unit Weight (sγ). With our tool, you need to enter the respective value for Shape Factor dependent on Cohesion, Cohesion in Soil as Kilopascal, Bearing Capacity Factor dependent on Cohesion, 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 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 Shape Factor dependent on Cohesion, Cohesion in Soil as Kilopascal, Bearing Capacity Factor dependent on Cohesion, 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. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Ultimate Bearing Capacity = (Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)
  • Ultimate Bearing Capacity = (1.3*Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight*0.6)
  • Ultimate Bearing Capacity = (1.3*Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight*0.8)
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