Ultimate Bearing Capacity given Factor of Safety Calculator

✖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.ⓘ Net Safe Bearing Capacity [q_nsa']			+10% -10%
✖Factor of Safety in Bearing Capacity of Soil expresses how much stronger a soil is than it needs to be for an intended load.ⓘ Factor of Safety in Bearing Capacity of Soil [FOS]			+10% -10%
✖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.ⓘ Effective Surcharge in Kilo Pascal [σ_s]			+10% -10%

✖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.ⓘ Ultimate Bearing Capacity given Factor of Safety [q_fc]

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Formula

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Ultimate Bearing Capacity given Factor of Safety

Formula

q fc = (q nsa' \cdot FOS) + σ s

Example

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

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Ultimate Bearing Capacity given Factor of Safety Solution

STEP 0: Pre-Calculation Summary

Formula Used

Ultimate Bearing Capacity of Soil = (Net Safe Bearing Capacity*Factor of Safety in Bearing Capacity of Soil)+Effective Surcharge in Kilo Pascal
q_fc = (q_nsa'*FOS)+σ_s
This formula uses 4 Variables

Variables Used

Ultimate Bearing Capacity of Soil - (Measured in Pascal) - 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.
Net Safe Bearing Capacity - (Measured in Pascal) - 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.
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.
Effective Surcharge in Kilo Pascal - (Measured in 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.

STEP 1: Convert Input(s) to Base Unit

Net Safe Bearing Capacity: 45.48 Kilonewton per Square Meter --> 45480 Pascal (Check conversion here)
Factor of Safety in Bearing Capacity of Soil: 2.8 --> No Conversion Required
Effective Surcharge in Kilo Pascal: 0.45 Kilonewton per Square Meter --> 450 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

q_fc = (q_nsa'*FOS)+σ_s --> (45480*2.8)+450

Evaluating ... ...

q_fc = 127794

STEP 3: Convert Result to Output's Unit

127794 Pascal -->127.794 Kilopascal (Check conversion here)

FINAL ANSWER

127.794 Kilopascal <-- Ultimate Bearing Capacity of Soil

(Calculation completed in 00.020 seconds)

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Birsa Institute of Technology (BIT), Sindri

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< Bearing Capacity of Soils Calculators

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

Go Ultimate Bearing Capacity = ((Prandtls Cohesion/tan(Angle of Internal Friction of Soil))+(0.5*Dry Unit Weight of Soil*Width of Footing*sqrt(Coefficient of Passive Pressure))*(Coefficient of Passive Pressure*exp(pi*tan(Angle of Internal Friction of Soil))-1))

Net Ultimate Bearing Capacity given Ultimate Bearing Capacity

Go Net Ultimate Bearing Capacity of Soil = Ultimate Bearing Capacity-Effective Surcharge in Kilo Pascal

Ultimate Bearing Capacity

Go Ultimate Bearing Capacity = Net Ultimate Bearing Capacity of Soil+Effective Surcharge in Kilo Pascal

Effective Surcharge given Depth of Footing

Go Effective Surcharge in Kilo Pascal = Unit Weight of Soil*Depth of Footing

Ultimate Bearing Capacity given Factor of Safety Formula

Ultimate Bearing Capacity of Soil = (Net Safe Bearing Capacity*Factor of Safety in Bearing Capacity of Soil)+Effective Surcharge in Kilo Pascal
q_fc = (q_nsa'*FOS)+σ_s

What is Bearing Capacity?

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 Ultimate Bearing Capacity given Factor of Safety?

Ultimate Bearing Capacity given Factor of Safety calculator uses Ultimate Bearing Capacity of Soil = (Net Safe Bearing Capacity*Factor of Safety in Bearing Capacity of Soil)+Effective Surcharge in Kilo Pascal to calculate 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 calculate Ultimate Bearing Capacity given Factor of Safety using this online calculator? To use this online calculator 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. Here is how the Ultimate Bearing Capacity given Factor of Safety calculation can be explained with given input values -> 0.127794 = (45480*2.8)+450.

FAQ

What is Ultimate Bearing Capacity given Factor of Safety?

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 and is represented as q_fc = (q_nsa'*FOS)+σ_s or Ultimate Bearing Capacity of Soil = (Net Safe Bearing Capacity*Factor of Safety in Bearing Capacity of Soil)+Effective Surcharge in Kilo Pascal. 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, Factor of Safety in Bearing Capacity of Soil expresses how much stronger a soil is than it needs to be for an intended load & 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.

How to calculate Ultimate Bearing Capacity given Factor of Safety?

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 is calculated using Ultimate Bearing Capacity of Soil = (Net Safe Bearing Capacity*Factor of Safety in Bearing Capacity of Soil)+Effective Surcharge in Kilo Pascal. To calculate Ultimate Bearing Capacity given Factor of Safety, you need Net Safe Bearing Capacity (q_nsa'), Factor of Safety in Bearing Capacity of Soil (FOS) & Effective Surcharge in Kilo Pascal (σ_s). With our tool, you need to enter the respective value for Net Safe Bearing Capacity, Factor of Safety in Bearing Capacity of Soil & Effective Surcharge in Kilo Pascal 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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