FormulaDen logo
FormulaDen.com
Search
Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Ultimate Bearing Capacity given Bearing Capacity Factor Formula

Fx Copy
LaTeX Copy
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. Check FAQs
qf=(Cs⋅Nc)+(γ⋅D⋅Nq)+(0.5⋅γ⋅B⋅Nγ)
qf - Ultimate Bearing Capacity?Cs - Cohesion of Soil?Nc - Bearing Capacity Factor dependent on Cohesion?γ - Unit Weight of Soil?D - Depth of Footing?Nq - Bearing Capacity Factor dependent on Surcharge?B - Width of Footing?Nγ - Bearing Capacity Factor dependent on Unit Weight?

Ultimate Bearing Capacity given Bearing Capacity Factor Example

With values
With units
Only example

Here is how the Ultimate Bearing Capacity given Bearing Capacity Factor equation looks like with Values.

Here is how the Ultimate Bearing Capacity given Bearing Capacity Factor equation looks like with Units.

Here is how the Ultimate Bearing Capacity given Bearing Capacity Factor equation looks like.

110.3418Edit=(5Edit⋅9Edit)+(18Edit⋅1.01Edit⋅2.01Edit)+(0.5⋅18Edit⋅2Edit⋅1.6Edit)
Solution
Copy
Reset
Share
You are here -
HomeIcon Home » Category Engineering » Category Civil » Category Geotechnical Engineering » fx Ultimate Bearing Capacity given Bearing Capacity Factor

Ultimate Bearing Capacity given Bearing Capacity Factor Solution

Follow our step by step solution on how to calculate Ultimate Bearing Capacity given Bearing Capacity Factor?

FIRST Step Consider the formula
qf=(Cs⋅Nc)+(γ⋅D⋅Nq)+(0.5⋅γ⋅B⋅Nγ)
Next Step Substitute values of Variables
∴ qf=(5kPa⋅9)+(18kN/m³⋅1.01m⋅2.01)+(0.5⋅18kN/m³⋅2m⋅1.6)
Next Step Convert Units
∴ qf=(5000Pa⋅9)+(18000N/m³⋅1.01m⋅2.01)+(0.5⋅18000N/m³⋅2m⋅1.6)
Next Step Prepare to Evaluate
∴ qf=(5000⋅9)+(18000⋅1.01⋅2.01)+(0.5⋅18000⋅2⋅1.6)
Next Step Evaluate
∴qf=110341.8Pa
LAST Step Convert to Output's Unit
∴qf=110.3418kPa

Ultimate Bearing Capacity given Bearing Capacity Factor Formula Elements

Variables
Ultimate Bearing Capacity
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.
Symbol: qf
Measurement: PressureUnit: kPa
Note: Value should be greater than 0.
Formulas to find Ultimate Bearing CapacityOpen Variable
Cohesion of Soil
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.
Symbol: Cs
Measurement: PressureUnit: kPa
Note: Value should be greater than 0.
Formulas to find Cohesion of SoilOpen Variable
Bearing Capacity Factor dependent on Cohesion
Bearing Capacity Factor dependent on Cohesion is a constant whose value depends upon the cohesion of soil.
Symbol: Nc
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Formulas to find Bearing Capacity Factor dependent on CohesionOpen Variable
Unit Weight of Soil
Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil.
Symbol: γ
Measurement: Specific WeightUnit: kN/m³
Note: Value should be greater than 0.
Formulas to find Unit Weight of SoilOpen Variable
Depth of Footing
Depth of Footing is the longer dimension of the footing.
Symbol: D
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Depth of FootingOpen Variable
Bearing Capacity Factor dependent on Surcharge
Bearing Capacity Factor dependent on Surcharge is a constant whose value depends upon surcharge.
Symbol: Nq
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Formulas to find Bearing Capacity Factor dependent on SurchargeOpen Variable
Width of Footing
Width of Footing is the shorter dimension of the footing.
Symbol: B
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Width of FootingOpen Variable
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.
Symbol: Nγ
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Formulas to find Bearing Capacity Factor dependent on Unit WeightOpen Variable

Other formulas in Terzaghi's Analysis in Water Table is Below the Base of Footing category

​Go Cohesion of Soil given Depth and Width of Footing
C=qfc-((γ⋅Dfooting⋅Nq)+(0.5⋅γ⋅B⋅Nγ))Nc
​Go Unit Weight of Soil given Depth and Width of Footing
γ=qf-(Cs⋅Nc)(D⋅Nq)+(0.5⋅B⋅Nγ)

How to Evaluate Ultimate Bearing Capacity given Bearing Capacity Factor?

Ultimate Bearing Capacity given Bearing Capacity Factor evaluator uses Ultimate Bearing Capacity = (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 evaluate the Ultimate Bearing Capacity, The Ultimate Bearing Capacity given Bearing Capacity Factor is defined as the maximum load a foundation can support, determined by multiplying the Bearing Capacity Factor. Ultimate Bearing Capacity is denoted by qf symbol.

How to evaluate Ultimate Bearing Capacity given Bearing Capacity Factor using this online evaluator? To use this online evaluator for Ultimate Bearing Capacity given Bearing Capacity Factor, 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.

FAQs on Ultimate Bearing Capacity given Bearing Capacity Factor

What is the formula to find Ultimate Bearing Capacity given Bearing Capacity Factor?
The formula of Ultimate Bearing Capacity given Bearing Capacity Factor is expressed as Ultimate Bearing Capacity = (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). Here is an example- 0.11016 = (5000*9)+(18000*1.01*2.01)+(0.5*18000*2*1.6).
How to calculate Ultimate Bearing Capacity given Bearing Capacity Factor?
With 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) we can find Ultimate Bearing Capacity given Bearing Capacity Factor using the formula - Ultimate Bearing Capacity = (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).
Can the Ultimate Bearing Capacity given Bearing Capacity Factor be negative?
No, the Ultimate Bearing Capacity given Bearing Capacity Factor, measured in Pressure cannot be negative.
Which unit is used to measure Ultimate Bearing Capacity given Bearing Capacity Factor?
Ultimate Bearing Capacity given Bearing Capacity Factor is usually measured using the Kilopascal[kPa] for Pressure. Pascal[kPa], Bar[kPa], Pound Per Square Inch[kPa] are the few other units in which Ultimate Bearing Capacity given Bearing Capacity Factor can be measured.
About | Contact | Disclaimer | Terms | Privacy Policy
© 2024. Developed & Maintained by softUsvista Inc.
Copied!