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

Width of Footing given Square Footing and Bearing Capacity Formula

Fx Copy
LaTeX Copy
Width of Footing for Square Footing is the shorter dimension of the square footing. Check FAQs
Bsquare=qf-((1.3⋅C⋅Nc)+(σ'⋅Nq))0.5⋅Nγ⋅γ⋅0.8
Bsquare - Width of Footing for Square Footing?qf - Ultimate Bearing Capacity?C - Cohesion?Nc - Bearing Capacity Factor dependent on Cohesion?σ' - Effective Surcharge?Nq - Bearing Capacity Factor dependent on Surcharge?Nγ - Bearing Capacity Factor dependent on Unit Weight?γ - Unit Weight of Soil?

Width of Footing given Square Footing and Bearing Capacity Example

With values
With units
Only example

Here is how the Width of Footing given Square Footing and Bearing Capacity equation looks like with Values.

Here is how the Width of Footing given Square Footing and Bearing Capacity equation looks like with Units.

Here is how the Width of Footing given Square Footing and Bearing Capacity equation looks like.

4.2853Edit=60Edit-((1.3⋅4.23Edit⋅1.93Edit)+(10Edit⋅2.01Edit))0.5⋅1.6Edit⋅18Edit⋅0.8
Solution
Copy
Reset
Share
You are here -
HomeIcon Home » Category Engineering » Category Civil » Category Geotechnical Engineering » fx Width of Footing given Square Footing and Bearing Capacity

Width of Footing given Square Footing and Bearing Capacity Solution

Follow our step by step solution on how to calculate Width of Footing given Square Footing and Bearing Capacity?

FIRST Step Consider the formula
Bsquare=qf-((1.3⋅C⋅Nc)+(σ'⋅Nq))0.5⋅Nγ⋅γ⋅0.8
Next Step Substitute values of Variables
∴ Bsquare=60kPa-((1.3⋅4.23kPa⋅1.93)+(10Pa⋅2.01))0.5⋅1.6⋅18kN/m³⋅0.8
Next Step Convert Units
∴ Bsquare=60000Pa-((1.3⋅4230Pa⋅1.93)+(10Pa⋅2.01))0.5⋅1.6⋅18000N/m³⋅0.8
Next Step Prepare to Evaluate
∴ Bsquare=60000-((1.3⋅4230⋅1.93)+(10⋅2.01))0.5⋅1.6⋅18000⋅0.8
Next Step Evaluate
∴Bsquare=4.28531510416667m
LAST Step Rounding Answer
∴Bsquare=4.2853m

Width of Footing given Square Footing and Bearing Capacity Formula Elements

Variables
Width of Footing for Square Footing
Width of Footing for Square Footing is the shorter dimension of the square footing.
Symbol: Bsquare
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Width of Footing for Square FootingOpen Variable
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
Cohesion 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: C
Measurement: PressureUnit: kPa
Note: Value should be between 0 to 50.
Formulas to find CohesionOpen 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
Effective Surcharge
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.
Symbol: σ'
Measurement: PressureUnit: Pa
Note: Value should be greater than 0.
Formulas to find Effective SurchargeOpen 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
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
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

Other formulas in Specialization of Terzaghi's Equations category

​Go Bearing Capacity depending on Shape Factors
qs=(sc⋅C⋅Nc)+(σs⋅Nq)+(0.5⋅γ⋅B⋅Nγ⋅sγ)
​Go Cohesion of Soil depending on Shape Factors
C=qf-((σ'⋅Nq)+(0.5⋅γ⋅B⋅Nγ⋅sγ))sc⋅Nc

How to Evaluate Width of Footing given Square Footing and Bearing Capacity?

Width of Footing given Square Footing and Bearing Capacity evaluator uses Width of Footing for Square Footing = (Ultimate Bearing Capacity-((1.3*Cohesion*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) to evaluate the Width of Footing for Square Footing, The Width of Footing given Square Footing and Bearing Capacity formula is defined as the value of width of footing when we have prior information of other parameters used for square footing. Width of Footing for Square Footing is denoted by Bsquare symbol.

How to evaluate Width of Footing given Square Footing and Bearing Capacity using this online evaluator? To use this online evaluator for Width of Footing given Square Footing and Bearing Capacity, enter Ultimate Bearing Capacity (qf), Cohesion (C), Bearing Capacity Factor dependent on Cohesion (Nc), Effective Surcharge (σ'), 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.

FAQs on Width of Footing given Square Footing and Bearing Capacity

What is the formula to find Width of Footing given Square Footing and Bearing Capacity?
The formula of Width of Footing given Square Footing and Bearing Capacity is expressed as Width of Footing for Square Footing = (Ultimate Bearing Capacity-((1.3*Cohesion*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). Here is an example- 4.285315 = (60000-((1.3*4230*1.93)+(10*2.01)))/(0.5*1.6*18000*0.8).
How to calculate Width of Footing given Square Footing and Bearing Capacity?
With Ultimate Bearing Capacity (qf), Cohesion (C), Bearing Capacity Factor dependent on Cohesion (Nc), Effective Surcharge (σ'), Bearing Capacity Factor dependent on Surcharge (Nq), Bearing Capacity Factor dependent on Unit Weight (Nγ) & Unit Weight of Soil (γ) we can find Width of Footing given Square Footing and Bearing Capacity using the formula - Width of Footing for Square Footing = (Ultimate Bearing Capacity-((1.3*Cohesion*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).
Can the Width of Footing given Square Footing and Bearing Capacity be negative?
No, the Width of Footing given Square Footing and Bearing Capacity, measured in Length cannot be negative.
Which unit is used to measure Width of Footing given Square Footing and Bearing Capacity?
Width of Footing given Square Footing and Bearing Capacity is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Width of Footing given Square Footing and Bearing Capacity can be measured.
About | Contact | Disclaimer | Terms | Privacy Policy
© 2024. Developed & Maintained by softUsvista Inc.
Copied!