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Ultimate Bearing Capacity given Factor of Safety Formula

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Ultimate Bearing Capacity of Soil is defined as the minimum gross pressure intensity at the base of the foundation at which the soil fails in shear. Check FAQs

q fc = (q nsa' \cdot FOS) + σ s

q_fc - Ultimate Bearing Capacity of Soil?q_nsa' - Net Safe Bearing Capacity?FOS - Factor of Safety in Bearing Capacity of Soil?σ_s - Effective Surcharge in Kilo Pascal?

Ultimate Bearing Capacity given Factor of Safety Example

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

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

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

127.794 = (45.48 \cdot 2.8) + 0.45

127.794kPa = (45.48kN/m² \cdot 2.8) + 0.45kN/m²

127.794 = (45.48 \cdot 2.8) + 0.45

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Ultimate Bearing Capacity given Factor of Safety Solution

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

FIRST Step Consider the formula

q fc = (q nsa' \cdot FOS) + σ s

Next Step Substitute values of Variables

∴

q fc = (45.48kN/m² \cdot 2.8) + 0.45kN/m²

Next Step Convert Units

∴

q fc = (45480Pa \cdot 2.8) + 450Pa

Next Step Prepare to Evaluate

∴

q fc = (45480 \cdot 2.8) + 450

Next Step Evaluate

∴

q fc = 127794Pa

LAST Step Convert to Output's Unit

∴

q fc = 127.794kPa

Ultimate Bearing Capacity given Factor of Safety Formula Elements

Variables

Ultimate Bearing Capacity of Soil

Ultimate Bearing Capacity of 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 of Soil

Net Safe Bearing Capacity

Net Safe Bearing Capacity is the maximum allowable pressure that can be applied to the soil beneath a structure without risking shear failure or excessive settlement.

Symbol: q_nsa'

Measurement: PressureUnit: kN/m²

Note: Value should be greater than 0.

Formulas to find Net Safe Bearing Capacity

Factor of Safety in Bearing Capacity of Soil

Factor of Safety in Bearing Capacity of Soil expresses how much stronger a soil is than it needs to be for an intended load.

Symbol: FOS

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Factor of Safety in Bearing Capacity of Soil

Effective Surcharge in Kilo Pascal

Effective Surcharge in Kilo Pascal 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_s

Measurement: PressureUnit: kN/m²

Note: Value should be greater than 0.

Formulas to find Effective Surcharge in Kilo Pascal

Other formulas in Bearing Capacity of Soils category

Go Ultimate Bearing Capacity of Soil under Long Footing at Surface of Soil

q f = ((\frac{C}{\tan (Φ i)}) + (0.5 \cdot γ d \cdot B \cdot \sqrt{K P}) \cdot (K P \cdot \exp (π \cdot \tan (Φ i)) - 1))

Go Effective Surcharge given Depth of Footing

σ s = γ \cdot D

Go Ultimate Bearing Capacity

q f = q net + σ s

Go Net Ultimate Bearing Capacity given Ultimate Bearing Capacity

q net = q f - σ s

How to Evaluate Ultimate Bearing Capacity given Factor of Safety?

Ultimate Bearing Capacity given Factor of Safety evaluator uses Ultimate Bearing Capacity of Soil = (Net Safe Bearing Capacity*Factor of Safety in Bearing Capacity of Soil)+Effective Surcharge in Kilo Pascal to evaluate the Ultimate Bearing Capacity of Soil, The Ultimate Bearing Capacity given Factor of Safety is defined as the maximum pressure that can be applied to the soil without causing shear failure. It ensures the stability and safety of structures built on or in the ground by providing a cushion between the design load and the maximum load the soil can bear without failure. Ultimate Bearing Capacity of Soil is denoted by q_fc symbol.

How to evaluate Ultimate Bearing Capacity given Factor of Safety using this online evaluator? To use this online evaluator for Ultimate Bearing Capacity given Factor of Safety, enter Net Safe Bearing Capacity (q_nsa'), Factor of Safety in Bearing Capacity of Soil (FOS) & Effective Surcharge in Kilo Pascal (σ_s) and hit the calculate button.

FAQs on Ultimate Bearing Capacity given Factor of Safety

What is the formula to find Ultimate Bearing Capacity given Factor of Safety?

The formula of Ultimate Bearing Capacity given Factor of Safety is expressed as Ultimate Bearing Capacity of Soil = (Net Safe Bearing Capacity*Factor of Safety in Bearing Capacity of Soil)+Effective Surcharge in Kilo Pascal. Here is an example- 0.127794 = (45480*2.8)+450.

How to calculate Ultimate Bearing Capacity given Factor of Safety?

With Net Safe Bearing Capacity (q_nsa'), Factor of Safety in Bearing Capacity of Soil (FOS) & Effective Surcharge in Kilo Pascal (σ_s) we can find Ultimate Bearing Capacity given Factor of Safety using the formula - Ultimate Bearing Capacity of Soil = (Net Safe Bearing Capacity*Factor of Safety in Bearing Capacity of Soil)+Effective Surcharge in Kilo Pascal.

Can the Ultimate Bearing Capacity given Factor of Safety be negative?

No, the Ultimate Bearing Capacity given Factor of Safety, measured in Pressure cannot be negative.

Which unit is used to measure Ultimate Bearing Capacity given Factor of Safety?

Ultimate Bearing Capacity given Factor of Safety 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 Factor of Safety can be measured.

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Ultimate Bearing Capacity given Factor of Safety Formula

Ultimate Bearing Capacity given Factor of Safety Example

Ultimate Bearing Capacity given Factor of Safety Solution

Ultimate Bearing Capacity given Factor of Safety Formula Elements

Other formulas in Bearing Capacity of Soils category

How to Evaluate Ultimate Bearing Capacity given Factor of Safety?

FAQs on Ultimate Bearing Capacity given Factor of Safety

Variable Name