Ultimate Bearing Capacity given Factor of Safety Calculator

✖Net Safe Bearing Capacity in Soil is the net ultimate bearing capacity divided by factor of safety.ⓘ Net Safe Bearing Capacity in Soil [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 KiloPascal 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 KiloPascal [σ_s]			+10% -10%

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

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Formula

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Ultimate Bearing Capacity given Factor of Safety

Formula

`"q"_{"f"} = ("q"_{"nsa"}*"FOS")+"σ"_{"s"}`

Example

`"90.392kPa"=("15.89kN/m²"*"2.8")+"45.9kN/m²"`

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Ultimate Bearing Capacity given Factor of Safety Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Ultimate Bearing Capacity - (Measured in Pascal) - 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.
Net Safe Bearing Capacity in Soil - (Measured in Pascal) - Net Safe Bearing Capacity in Soil is the net ultimate bearing capacity divided by factor of safety.
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 KiloPascal - (Measured in Pascal) - Effective Surcharge in KiloPascal 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 in Soil: 15.89 Kilonewton per Square Meter --> 15890 Pascal (Check conversion here)
Factor of Safety in Bearing Capacity of Soil: 2.8 --> No Conversion Required
Effective Surcharge in KiloPascal: 45.9 Kilonewton per Square Meter --> 45900 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

q_f = (q_nsa*FOS)+σ_s --> (15890*2.8)+45900

Evaluating ... ...

q_f = 90392

STEP 3: Convert Result to Output's Unit

90392 Pascal -->90.392 Kilopascal (Check conversion here)

FINAL ANSWER

90.392 Kilopascal <-- Ultimate Bearing Capacity

(Calculation completed in 00.004 seconds)

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Birsa Institute of Technology (BIT), Sindri

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< 16 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))+(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))-1))

Safe Bearing Capacity given Net Ultimate Bearing Capacity

Go Safe Bearing Capacity = (Net Ultimate Bearing Capacity in Soil/Factor of Safety in Bearing Capacity of Soil)+(Unit Weight of Soil*Depth of Footing in Soil)

Bearing Capacity Factor Dependent on Unit Weight by Vesic's Analysis

Go Bearing Capacity Factor dependent on Unit Weight = 2*(Bearing Capacity Factor dependent on Surcharge+1)*tan((Angle of Internal Friction of Soil*pi)/180)

Net Safe Bearing Capacity given Ultimate Bearing Capacity

Go Net Safe Bearing Capacity in Soil = (Ultimate Bearing Capacity in Soil-Effective Surcharge in KiloPascal)/Factor of Safety in Bearing Capacity of Soil

Ultimate Bearing Capacity given Factor of Safety

Go Ultimate Bearing Capacity = (Net Safe Bearing Capacity in Soil*Factor of Safety in Bearing Capacity of Soil)+Effective Surcharge in KiloPascal

Angle of Internal Friction given Bearing Capacity by by Vesic's Analysis

Go Angle of Internal Friction = atan(Bearing Capacity Factor dependent on Unit Weight/(2*(Bearing Capacity Factor dependent on Surcharge+1)))

Ultimate Bearing Capacity given Depth of Footing

Go Ultimate Bearing Capacity = Net Ultimate Bearing Capacity in Soil+(Unit Weight of Soil*Depth of Footing in Soil)

Safe Bearing Capacity

Go Safe Bearing Capacity = Net Safe Bearing Capacity in Soil+(Unit Weight of Soil*Depth of Footing in Soil)

Depth of Footing given Safe Bearing Capacity

Go Depth of Footing = (Safe Bearing Capacity-Net Safe Bearing Capacity in Soil)/Unit Weight of Soil

Net Ultimate Bearing Capacity given Net Safe Bearing Capacity

Go Net Ultimate Bearing Capacity in Soil = Net Safe Bearing Capacity in Soil*Factor of Safety in Bearing Capacity of Soil

Net Safe Bearing Capacity

Go Net Safe Bearing Capacity in Soil = Net Ultimate Bearing Capacity in Soil/Factor of Safety in Bearing Capacity of Soil

Net Ultimate Bearing Capacity given Ultimate Bearing Capacity

Go Net Ultimate Bearing Capacity in Soil = Ultimate Bearing Capacity in Soil-Effective Surcharge in KiloPascal

Ultimate Bearing Capacity

Go Ultimate Bearing Capacity = Net Ultimate Bearing Capacity in Soil+Effective Surcharge in KiloPascal

Effective Surcharge given Depth of Footing

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

Effective Surcharge given Net Pressure Intensity

Go Effective Surcharge in KiloPascal = Gross Pressure-Net Pressure

Net Pressure Intensity

Go Net Pressure = Gross Pressure-Effective Surcharge in KiloPascal

Ultimate Bearing Capacity given Factor of Safety Formula

Ultimate Bearing Capacity = (Net Safe Bearing Capacity in Soil*Factor of Safety in Bearing Capacity of Soil)+Effective Surcharge in KiloPascal
q_f = (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 = (Net Safe Bearing Capacity in Soil*Factor of Safety in Bearing Capacity of Soil)+Effective Surcharge in KiloPascal to calculate the Ultimate Bearing Capacity, The Ultimate Bearing Capacity given Factor of Safety is defined as the value of ultimate bearing capacity when we have prior information of other parameters used. Ultimate Bearing Capacity is denoted by q_f 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 in Soil (q_nsa), Factor of Safety in Bearing Capacity of Soil (FOS) & Effective Surcharge in KiloPascal (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 -> 0.090392 = (15890*2.8)+45900.

FAQ

What is Ultimate Bearing Capacity given Factor of Safety?

The Ultimate Bearing Capacity given Factor of Safety is defined as the value of ultimate bearing capacity when we have prior information of other parameters used and is represented as q_f = (q_nsa*FOS)+σ_s or Ultimate Bearing Capacity = (Net Safe Bearing Capacity in Soil*Factor of Safety in Bearing Capacity of Soil)+Effective Surcharge in KiloPascal. Net Safe Bearing Capacity in Soil is the net ultimate bearing capacity divided by factor of safety, 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 KiloPascal 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 value of ultimate bearing capacity when we have prior information of other parameters used is calculated using Ultimate Bearing Capacity = (Net Safe Bearing Capacity in Soil*Factor of Safety in Bearing Capacity of Soil)+Effective Surcharge in KiloPascal. To calculate Ultimate Bearing Capacity given Factor of Safety, you need Net Safe Bearing Capacity in Soil (q_nsa), Factor of Safety in Bearing Capacity of Soil (FOS) & Effective Surcharge in KiloPascal (σ_s). With our tool, you need to enter the respective value for Net Safe Bearing Capacity in Soil, Factor of Safety in Bearing Capacity of Soil & Effective Surcharge in KiloPascal and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Ultimate Bearing Capacity?

In this formula, Ultimate Bearing Capacity uses Net Safe Bearing Capacity in Soil, Factor of Safety in Bearing Capacity of Soil & Effective Surcharge in KiloPascal. We can use 3 other way(s) to calculate the same, which is/are as follows -

Ultimate Bearing Capacity = ((Prandtls Cohesion/tan(Angle of Internal Friction))+(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))-1))
Ultimate Bearing Capacity = Net Ultimate Bearing Capacity in Soil+Effective Surcharge in KiloPascal
Ultimate Bearing Capacity = Net Ultimate Bearing Capacity in Soil+(Unit Weight of Soil*Depth of Footing in Soil)

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