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Width of Footing for Local Shear Failure given Bearing Capacity Factor Formula

GoWidth of Footing given Bearing Capacity for Local Shear Failure Formula

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Width of Footing is the shorter dimension of the footing. Check FAQs

B = \frac{q fc - (((\frac{2}{3}) \cdot C \cdot N c) + ((γ \cdot D footing) \cdot N q))}{0.5 \cdot N γ \cdot γ}

B - Width of Footing?q_fc - Ultimate Bearing Capacity in Soil?C - Cohesion in Soil as Kilopascal?N_c - Bearing Capacity Factor dependent on Cohesion?γ - Unit Weight of Soil?D_footing - Depth of Footing in Soil?N_q - Bearing Capacity Factor dependent on Surcharge?N_γ - Bearing Capacity Factor dependent on Unit Weight?

Width of Footing for Local Shear Failure given Bearing Capacity Factor Example

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Here is how the Width of Footing for Local Shear Failure given Bearing Capacity Factor equation looks like with Values.

Here is how the Width of Footing for Local Shear Failure given Bearing Capacity Factor equation looks like with Units.

Here is how the Width of Footing for Local Shear Failure given Bearing Capacity Factor equation looks like.

1.9641 = \frac{127.8 - (((\frac{2}{3}) \cdot 1.27 \cdot 9) + ((18 \cdot 2.54) \cdot 2.01))}{0.5 \cdot 1.6 \cdot 18}

1.9641m = \frac{127.8kPa - (((\frac{2}{3}) \cdot 1.27kPa \cdot 9) + ((18kN/m³ \cdot 2.54m) \cdot 2.01))}{0.5 \cdot 1.6 \cdot 18kN/m³}

1.9641 = \frac{127.8 - (((\frac{2}{3}) \cdot 1.27 \cdot 9) + ((18 \cdot 2.54) \cdot 2.01))}{0.5 \cdot 1.6 \cdot 18}

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Width of Footing for Local Shear Failure given Bearing Capacity Factor Solution

Follow our step by step solution on how to calculate Width of Footing for Local Shear Failure given Bearing Capacity Factor?

FIRST Step Consider the formula

B = \frac{q fc - (((\frac{2}{3}) \cdot C \cdot N c) + ((γ \cdot D footing) \cdot N q))}{0.5 \cdot N γ \cdot γ}

Next Step Substitute values of Variables

∴

B = \frac{127.8kPa - (((\frac{2}{3}) \cdot 1.27kPa \cdot 9) + ((18kN/m³ \cdot 2.54m) \cdot 2.01))}{0.5 \cdot 1.6 \cdot 18kN/m³}

Next Step Convert Units

∴

B = \frac{127800Pa - (((\frac{2}{3}) \cdot 1270Pa \cdot 9) + ((18000N/m³ \cdot 2.54m) \cdot 2.01))}{0.5 \cdot 1.6 \cdot 18000N/m³}

Next Step Prepare to Evaluate

∴

B = \frac{127800 - (((\frac{2}{3}) \cdot 1270 \cdot 9) + ((18000 \cdot 2.54) \cdot 2.01))}{0.5 \cdot 1.6 \cdot 18000}

Next Step Evaluate

∴

B = 1.96408333333333m

LAST Step Rounding Answer

∴

B = 1.9641m

Width of Footing for Local Shear Failure given Bearing Capacity Factor Formula Elements

Variables

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 Footing

Ultimate Bearing Capacity in 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.

Symbol: q_fc

Measurement: PressureUnit: kPa

Note: Value should be greater than 0.

Formulas to find Ultimate Bearing Capacity in Soil

Cohesion in Soil as Kilopascal

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.

Symbol: C

Measurement: PressureUnit: kPa

Note: Value should be between 0 to 50.

Formulas to find Cohesion in Soil as Kilopascal

Bearing Capacity Factor dependent on Cohesion

Bearing Capacity Factor dependent on Cohesion is a constant whose value depends upon the cohesion of soil.

Symbol: N_c

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Bearing Capacity Factor dependent on Cohesion

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 Soil

Depth of Footing in Soil

Depth of Footing in Soil is the longer dimension of the footing in soil mechanics.

Symbol: D_footing

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Depth of Footing in Soil

Bearing Capacity Factor dependent on Surcharge

Bearing Capacity Factor dependent on Surcharge is a constant whose value depends upon surcharge.

Symbol: N_q

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Bearing Capacity Factor dependent on 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.

Symbol: N_γ

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Bearing Capacity Factor dependent on Unit Weight

Other Formulas to find Width of Footing

Go Width of Footing given Bearing Capacity for Local Shear Failure

B = \frac{q fc - (((\frac{2}{3}) \cdot C \cdot N c) + (σ s \cdot N q))}{0.5 \cdot N γ \cdot γ}

Other formulas in General and Local Shear Failure category

Go Mobilised Cohesion Corresponding to Local Shear Failure

C m = (\frac{2}{3}) \cdot C s

Go Cohesion of Soil given Mobilised Cohesion Corresponding to Local Shear Failure

C s = (\frac{3}{2}) \cdot C m

How to Evaluate Width of Footing for Local Shear Failure given Bearing Capacity Factor?

Width of Footing for Local Shear Failure given Bearing Capacity Factor evaluator uses Width of Footing = (Ultimate Bearing Capacity in Soil-(((2/3)*Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+((Unit Weight of Soil*Depth of Footing in Soil)*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Bearing Capacity Factor dependent on Unit Weight*Unit Weight of Soil) to evaluate the Width of Footing, The Width of Footing for Local Shear Failure given Bearing Capacity Factor is defined as the value of width of footing when we have prior information of other parameters used. Width of Footing is denoted by B symbol.

How to evaluate Width of Footing for Local Shear Failure given Bearing Capacity Factor using this online evaluator? To use this online evaluator for Width of Footing for Local Shear Failure given Bearing Capacity Factor, enter Ultimate Bearing Capacity in Soil (q_fc), Cohesion in Soil as Kilopascal (C), Bearing Capacity Factor dependent on Cohesion (N_c), Unit Weight of Soil (γ), Depth of Footing in Soil (D_footing), Bearing Capacity Factor dependent on Surcharge (N_q) & Bearing Capacity Factor dependent on Unit Weight (N_γ) and hit the calculate button.

FAQs on Width of Footing for Local Shear Failure given Bearing Capacity Factor

What is the formula to find Width of Footing for Local Shear Failure given Bearing Capacity Factor?

The formula of Width of Footing for Local Shear Failure given Bearing Capacity Factor is expressed as Width of Footing = (Ultimate Bearing Capacity in Soil-(((2/3)*Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+((Unit Weight of Soil*Depth of Footing in Soil)*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Bearing Capacity Factor dependent on Unit Weight*Unit Weight of Soil). Here is an example- 1.995833 = (127800-(((2/3)*1270*9)+((18000*2.54)*2.01)))/(0.5*1.6*18000).

How to calculate Width of Footing for Local Shear Failure given Bearing Capacity Factor?

With Ultimate Bearing Capacity in Soil (q_fc), Cohesion in Soil as Kilopascal (C), Bearing Capacity Factor dependent on Cohesion (N_c), Unit Weight of Soil (γ), Depth of Footing in Soil (D_footing), Bearing Capacity Factor dependent on Surcharge (N_q) & Bearing Capacity Factor dependent on Unit Weight (N_γ) we can find Width of Footing for Local Shear Failure given Bearing Capacity Factor using the formula - Width of Footing = (Ultimate Bearing Capacity in Soil-(((2/3)*Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+((Unit Weight of Soil*Depth of Footing in Soil)*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Bearing Capacity Factor dependent on Unit Weight*Unit Weight of Soil).

What are the other ways to Calculate Width of Footing?

Here are the different ways to Calculate Width of Footing-

Width of Footing=(Ultimate Bearing Capacity in Soil-(((2/3)*Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Bearing Capacity Factor dependent on Unit Weight*Unit Weight of Soil)

Can the Width of Footing for Local Shear Failure given Bearing Capacity Factor be negative?

No, the Width of Footing for Local Shear Failure given Bearing Capacity Factor, measured in Length cannot be negative.

Which unit is used to measure Width of Footing for Local Shear Failure given Bearing Capacity Factor?

Width of Footing for Local Shear Failure given Bearing Capacity Factor 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 for Local Shear Failure given Bearing Capacity Factor can be measured.

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Width of Footing for Local Shear Failure given Bearing Capacity Factor Formula

​GoWidth of Footing given Bearing Capacity for Local Shear Failure Formula

Width of Footing for Local Shear Failure given Bearing Capacity Factor Example

Width of Footing for Local Shear Failure given Bearing Capacity Factor Solution

Width of Footing for Local Shear Failure given Bearing Capacity Factor Formula Elements

Other Formulas to find Width of Footing

Other formulas in General and Local Shear Failure category

How to Evaluate Width of Footing for Local Shear Failure given Bearing Capacity Factor?

FAQs on Width of Footing for Local Shear Failure given Bearing Capacity Factor

Variable Name

GoWidth of Footing given Bearing Capacity for Local Shear Failure Formula