Diameter of Circular Footing given Bearing Capacity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Diameter of Section = (Ultimate Bearing Capacity in Soil-(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge))/(0.3*Bearing Capacity Factor dependent on Unit Weight*Unit Weight of Soil)
dsection = (qfc-(σs*Nq))/(0.3*Nγ*γ)
This formula uses 6 Variables
Variables Used
Diameter of Section - (Measured in Meter) - Diameter of Section is the diameter of the circular cross-section of the beam.
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.
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)
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
dsection = (qfc-(σs*Nq))/(0.3*Nγ*γ) --> (127800-(45900*2.01))/(0.3*1.6*18000)
Evaluating ... ...
dsection = 4.11354166666667
STEP 3: Convert Result to Output's Unit
4.11354166666667 Meter --> No Conversion Required
FINAL ANSWER
4.11354166666667 4.113542 Meter <-- Diameter of Section
(Calculation completed in 00.004 seconds)

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18 Bearing Capacity of Non-cohesive Soil Calculators

Unit Weight of Non Cohesive Soil given Bearing Capacity of Circular Footing
Go Unit Weight of Soil = (Ultimate Bearing Capacity in Soil-(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge))/(0.3*Bearing Capacity Factor dependent on Unit Weight*Diameter of Section)
Bearing Capacity Factor Dependent on Unit Weight for Circular Footing
Go Bearing Capacity Factor dependent on Unit Weight = (Ultimate Bearing Capacity in Soil-(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge))/(0.3*Unit Weight of Soil*Diameter of Section)
Diameter of Circular Footing given Bearing Capacity
Go Diameter of Section = (Ultimate Bearing Capacity in Soil-(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge))/(0.3*Bearing Capacity Factor dependent on Unit Weight*Unit Weight of Soil)
Effective Surcharge given Bearing Capacity of Non Cohesive Soil for Circular Footing
Go Effective Surcharge in KiloPascal = (Ultimate Bearing Capacity in Soil-(0.3*Unit Weight of Soil*Diameter of Section*Bearing Capacity Factor dependent on Unit Weight))/Bearing Capacity Factor dependent on Surcharge
Bearing Capacity Factor Dependent on Surcharge for Circular Footing
Go Bearing Capacity Factor dependent on Surcharge = (Ultimate Bearing Capacity in Soil-(0.3*Unit Weight of Soil*Diameter of Section*Bearing Capacity Factor dependent on Unit Weight))/Effective Surcharge in KiloPascal
Bearing Capacity of Non Cohesive Soil for Circular Footing
Go Ultimate Bearing Capacity in Soil = (Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge)+(0.3*Unit Weight of Soil*Diameter of Section*Bearing Capacity Factor dependent on Unit Weight)
Unit Weight of Non Cohesive Soil given Bearing Capacity of Square Footing
Go Unit Weight of Soil = (Ultimate Bearing Capacity in Soil-(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge))/(0.4*Bearing Capacity Factor dependent on Unit Weight*Width of Footing)
Unit Weight of Non Cohesive Soil given Bearing Capacity of Strip Footing
Go Unit Weight of Soil = (Ultimate Bearing Capacity in Soil-(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge))/(0.5*Bearing Capacity Factor dependent on Unit Weight*Width of Footing)
Bearing Capacity Factor Dependent on Unit Weight for Square Footing
Go Bearing Capacity Factor dependent on Unit Weight = (Ultimate Bearing Capacity in Soil-(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge))/(0.4*Unit Weight of Soil*Width of Footing)
Bearing Capacity Factor Dependent on Unit Weight for Strip Footing
Go Bearing Capacity Factor dependent on Unit Weight = (Ultimate Bearing Capacity in Soil-(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge))/(0.5*Unit Weight of Soil*Width of Footing)
Width of Square Footing given Bearing Capacity
Go Width of Footing = (Ultimate Bearing Capacity in Soil-(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge))/(0.4*Bearing Capacity Factor dependent on Unit Weight*Unit Weight of Soil)
Width of Strip Footing given Bearing Capacity
Go Width of Footing = (Ultimate Bearing Capacity in Soil-(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge))/(0.5*Bearing Capacity Factor dependent on Unit Weight*Unit Weight of Soil)
Effective Surcharge given Bearing Capacity of Non Cohesive Soil for Square Footing
Go Effective Surcharge in KiloPascal = (Ultimate Bearing Capacity in Soil-(0.4*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight))/Bearing Capacity Factor dependent on Surcharge
Effective Surcharge given Bearing Capacity of Non Cohesive Soil for Strip Footing
Go Effective Surcharge in KiloPascal = (Ultimate Bearing Capacity in Soil-(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight))/Bearing Capacity Factor dependent on Surcharge
Bearing Capacity Factor Dependent on Surcharge for Square Footing
Go Bearing Capacity Factor dependent on Surcharge = (Ultimate Bearing Capacity in Soil-(0.4*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight))/Effective Surcharge in KiloPascal
Bearing Capacity Factor Dependent on Surcharge for Strip Footing
Go Bearing Capacity Factor dependent on Surcharge = (Ultimate Bearing Capacity in Soil-(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight))/Effective Surcharge in KiloPascal
Bearing Capacity of Non Cohesive Soil for Square Footing
Go Ultimate Bearing Capacity in Soil = (Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge)+(0.4*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)
Bearing Capacity of Non Cohesive Soil for Strip Footing
Go Ultimate Bearing Capacity in Soil = (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)

Diameter of Circular Footing given Bearing Capacity Formula

Diameter of Section = (Ultimate Bearing Capacity in Soil-(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge))/(0.3*Bearing Capacity Factor dependent on Unit Weight*Unit Weight of Soil)
dsection = (qfc-(σs*Nq))/(0.3*Nγ*γ)

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 Diameter of Circular Footing given Bearing Capacity?

Diameter of Circular Footing given Bearing Capacity calculator uses Diameter of Section = (Ultimate Bearing Capacity in Soil-(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge))/(0.3*Bearing Capacity Factor dependent on Unit Weight*Unit Weight of Soil) to calculate the Diameter of Section, The Diameter of Circular Footing given Bearing Capacity is defined as the value of diameter of circular section when we have prior information of other parameters used. Diameter of Section is denoted by dsection symbol.

How to calculate Diameter of Circular Footing given Bearing Capacity using this online calculator? To use this online calculator for Diameter of Circular Footing given Bearing Capacity, enter Ultimate Bearing Capacity in Soil (qfc), Effective Surcharge in KiloPascal s), Bearing Capacity Factor dependent on Surcharge (Nq), Bearing Capacity Factor dependent on Unit Weight (Nγ) & Unit Weight of Soil (γ) and hit the calculate button. Here is how the Diameter of Circular Footing given Bearing Capacity calculation can be explained with given input values -> 4.166667 = (127800-(45900*2.01))/(0.3*1.6*18000).

FAQ

What is Diameter of Circular Footing given Bearing Capacity?
The Diameter of Circular Footing given Bearing Capacity is defined as the value of diameter of circular section when we have prior information of other parameters used and is represented as dsection = (qfc-(σs*Nq))/(0.3*Nγ*γ) or Diameter of Section = (Ultimate Bearing Capacity in Soil-(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge))/(0.3*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, 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 Diameter of Circular Footing given Bearing Capacity?
The Diameter of Circular Footing given Bearing Capacity is defined as the value of diameter of circular section when we have prior information of other parameters used is calculated using Diameter of Section = (Ultimate Bearing Capacity in Soil-(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge))/(0.3*Bearing Capacity Factor dependent on Unit Weight*Unit Weight of Soil). To calculate Diameter of Circular Footing given Bearing Capacity, you need Ultimate Bearing Capacity in Soil (qfc), Effective Surcharge in KiloPascal s), Bearing Capacity Factor dependent on Surcharge (Nq), Bearing Capacity Factor dependent on Unit Weight (Nγ) & Unit Weight of Soil (γ). With our tool, you need to enter the respective value for Ultimate Bearing Capacity in Soil, 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.
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