The gross bearing capacity of a footing is 450kN/m2. If the footing is 1.5 m wide and is at a depth of 1 m in a clayey soil which has a unit weight of 20 kN/m3, then the net bearing capacity is (2024)

The gross bearing capacity of a footing is 450kN/m2. If the footing is 1.5 m wide and is at a depth of 1 m in a clayey soil which has a unit weight of 20 kN/m3, then the net bearing capacity is (2024)

FAQs

What is the ultimate bearing capacity of strip footing 1.5 m wide? ›

=403.5 kN/m2.

How do you calculate footing bearing capacity? ›

Bearing capacity types and formulae

Net ultimate bearing capacity (qₙᵤ): this is the ultimate bearing capacity minus the weight of soil (𝝲) multiplied by the depth of the foundation (D). The formula is qₙᵤ = qᵤ - 𝝲Df.

What is the bearing capacity of clay soil in kN m2? ›

For Clay Soils
ConsistencypsfkN/m2
Soft500 - 1,00048 - 96
Medium1,000 - 2,00096 - 192
Stiff2,000 - 4,000192 - 384
Very stiff4,000 - 8,000384 - 766
2 more rows

What is the formula for the bearing capacity of soil? ›

How can one calculate bearing capacity? The bearing capacity of soil is calculated using the formula: qf = c'Nc + γDNγ + 0.5γBNγ. Here, qf is the ultimate bearing capacity, c' is the cohesion of soil, Nc, Nq, and Nγ are bearing capacity factors, D is the depth of footing, and γ is the unit weight of soil.

What is the bearing capacity of soil footing? ›

Soil capacity is measured in pounds per square foot (psf). The load-bearing capacity of soils range from 4,000 psf for sedimentary rock to as little as 1,500 psf for clay and silt. Soils that are a predominantly sand or gravel typically fall in the middle, from 2,000-3,000 psf.

How do you calculate load-bearing capacity of a floor? ›

  1. Calculating the load-bearing capacity of a structure or material typically involves more complex engineering calculations and considerations. ...
  2. Load-Bearing Capacity = Cross-Sectional Area × Material Strength.
  3. Here's what each component represents:
Feb 5, 2018

What is the formula for calculating bearing? ›

Another example is calculating the bearing between two points with given latitude and longitude. The formula for this is: β = atan2(X,Y), where X and Y are two quantities that can be calculated based on the given latitude and longitude.

What is the bearing capacity of a shallow footing? ›

The bearing capacity of a shallow foundation can be defined as the maximum value of the load applied, for which no point of the subsoil reaches failure point (Frolich method) or else for which failure extends to a considerable volume of soil (Prandtl method and successive).

What is the ultimate bearing capacity in kN m2? ›

The ultimate bearing capacity of a soil is 300 kN/m2. The depth of the foundation is 1 m and the unit weight of soil is 20 kN/m3.

What is the ultimate bearing capacity of kN m2? ›

The ultimate bearing capacity of a soil is 300 kN/m2. The depth of foundation is 1 m and unit weight of soil is 20 kN/m3.

What is the minimum safe bearing capacity of soil in kN m2? ›

Safe bearing capacity values ranges from 44.95 to 411.11 kN/m2 and 75.27 to 397.31 kN/m2 for 1m and 1.5m respectively using foundation widths of 0.5m, 1m and 2m.

What is bearing capacity in foundation? ›

In nontechnical engineering, 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 can we calculate bearing capacity of soil in a PDF? ›

Formulas for calculation of safe bearing capacity are the following:
  1. q = 1.3C N + γDN + 0.4 γBN.
  2. q = q - q = q -γD.
  3. q = (q /F) + γD.

What is the bearing capacity of soil to soil density? ›

Typical values of soil bearing capacity
Soil typeBearing value (kPa)
Dense gravel or dense sand and gravel> 600
Dense dense gravel or medium dense sand and gravel200-600
Loose gravel or loose sand and gravel< 200
Compact sand> 300
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What is the ultimate bearing capacity of a foundation? ›

Net ultimate bearing capacity (qnu): It is the maximum net pressure at the base of the foundation which can be applied without shear failure or it is the minimum net pressure at which soil just fails in shear. It is the sum of ultimate net bearing capacity and the overburden pressure above the footing base.

What is the formula for ultimate bearing capacity for circular footing? ›

Terzaghi [3] introduced the concept of ultimate bearing capacity (qu) and presented a comprehensive theory for the evaluation of such capacity under shallow foundations. For circular footings:(1) q u = 1.3 cN c + γ 1 D N q + 0.3 γ 2 B N γ [ 1.3 ] where; Nc, Nq, Nγ, are functions of internal friction angle, ϕ.

What is ultimate to allowable bearing capacity? ›

Ultimate bearing capacity is the theoretical maximum pressure which can be supported without failure. Allowable bearing capacity is what is used in geotechnical design, and is the ultimate bearing capacity divided by a factor of safety.

What is the ultimate bearing capacity of a shallow foundation? ›

The ultimate bearing capacity refers to the maximum carrying potential per unit area of the foundation soil prior to foundation instability, which is an important index for foundation design and foundation stability evaluation.

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