How do you calculate foundation load and stress? (2024)

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Types of foundations

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2

Soil properties

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3

Applied loads

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4

Foundation load

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5

Foundation stress

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6

Methods of calculation

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7

Here’s what else to consider

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Foundation load and stress are critical factors in civil engineering design, as they affect the stability, safety, and performance of structures. To calculate them, you need to consider the type, size, and shape of the foundation, the soil properties, and the applied loads from the structure and the environment. In this article, you will learn the basic steps and methods to estimate foundation load and stress for different scenarios.

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1 Types of foundations

Foundations are classified into two main categories: shallow and deep. Shallow foundations are those that transfer the load to the soil near the surface, such as strip, pad, raft, or mat foundations. Deep foundations are those that transfer the load to a deeper layer of soil or rock, such as piles, piers, or caissons. The choice of foundation type depends on the soil conditions, the load magnitude and distribution, and the design requirements.

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2 Soil properties

Soil properties are essential for determining the bearing capacity, settlement, and shear strength of the foundation. Some of the soil properties that affect foundation load and stress are density, moisture content, porosity, permeability, cohesion, friction angle, and modulus of elasticity. These properties can be obtained from field tests, such as standard penetration test (SPT), cone penetration test (CPT), or pressuremeter test (PMT), or from laboratory tests, such as triaxial test, direct shear test, or consolidation test.

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3 Applied loads

Applied loads are the forces and moments that act on the foundation from the structure and the environment. They include dead load, live load, wind load, seismic load, thermal load, and hydrostatic load. These loads can be calculated using the structural analysis and design codes, such as ASCE 7, ACI 318, or AISC 360. The applied loads can be classified into vertical, horizontal, and moment loads, depending on their direction and point of action.

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4 Foundation load

Foundation load is the total load that the foundation has to support from the applied loads and its own weight. It can be calculated by summing up the vertical, horizontal, and moment loads at the base of the foundation. For example, if a strip foundation supports a wall with a dead load of 100 kN/m, a live load of 50 kN/m, and a wind load of 20 kN/m, the foundation load per unit length is 170 kN/m.

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5 Foundation stress

Foundation stress is the intensity of force per unit area that the foundation exerts on the soil. It can be calculated by dividing the foundation load by the contact area between the foundation and the soil. For example, if a strip foundation has a width of 1 m and a length of 10 m, the contact area is 10 m2. If the foundation load per unit length is 170 kN/m, the foundation stress is 17 kPa.

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6 Methods of calculation

Various methods of calculation for foundation load and stress exist, depending on the type of foundation, soil conditions, and complexity of the problem. Elastic methods, such as Boussinesq's theory, Westergaard's theory, and Mindlin's theory, assume that the soil behaves as a linear elastic material and use the theory of elasticity to derive equations for foundation stress and settlement. Empirical methods, like Meyerhof's method, Terzaghi's method, and Peck's method, use empirical formulas or charts based on experimental data or field observations to estimate the foundation stress and settlement. Numerical methods, such as finite element method (FEM), finite difference method (FDM), or boundary element method (BEM), use numerical techniques to model the soil-foundation interaction and solve equations for foundation stress and settlement; examples include PLAXIS, ABAQUS, and ANSYS.

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7 Here’s what else to consider

This is a space to share examples, stories, or insights that don’t fit into any of the previous sections. What else would you like to add?

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Civil Engineering Design How do you calculate foundation load and stress? (5)

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How do you calculate foundation load and stress? (2024)

FAQs

How do you calculate the load bearing capacity of a foundation? ›

The allowable bearing pressure (ABP) is the actual load that is applied to the foundation by the structure. It is calculated by dividing the total weight of the structure by the foundation area. The equation is: ABP = W / A where W is the total weight of the structure, and A is the foundation area.

How do you calculate stress load? ›

As expected by the units, stress is given by dividing the force by the area of its generation, and since this area (“A”) is either sectional or axial, the basic stress formula is “σ = F/A”.

How do you calculate foundation load? ›

It can be calculated by summing up the vertical, horizontal, and moment loads at the base of the foundation. For example, if a strip foundation supports a wall with a dead load of 100 kN/m, a live load of 50 kN/m, and a wind load of 20 kN/m, the foundation load per unit length is 170 kN/m.

How do you calculate load on concrete? ›

Formula for calculating dead load = Length × Width × Thickness of slab × unit weight of RCC. Unit of dead load is kg/m3.

How to calculate structural load capacity? ›

Calculations
  1. Live Load per Floor = Floor Area×Live Load per m² (Floors)
  2. Live Load per Floor = 600 m²×3 kN/m² = 1800 kN = 1800×100 kg = 180,000 kg.
  3. Total Live Load for 10 Floors = 180,000 kg×10 = 1,800,000 kg = 1800 tons.
Jun 6, 2024

What is the formula for loading capacity? ›

According to the formula of loading capacity, loading capacity= [(Total amount of drug-Free amount of drug)/nanoparticles weight] x 100.

What is the formula for calculating load? ›

If no load weight information has been provided, then you will need to calculate it yourself. To do so, determine the volume of the load and material it's composed of with the following formula: Load weight = weight per volume * total volume.

How to do a proper load calculation? ›

You can use the load calculation formula, Power (W) = Voltage (V) × Current (A). It will convert the information to watts. Determining Load Types: Electrical loads can differ based on their characteristics.

How do you calculate footing size for a load? ›

To determine the size of the footing, a simple formula is used: Structural Load (lbs) / Soil Capacity (psf) = Footing Surface Area Required (sq. ft.)

How to calculate foundation concrete? ›

How do I calculate how much concrete I need? To find the amount of concrete you need, use our concrete calculator or this simple volume formula: Length × Width × Thickness. Measure your project and multiply the dimensions to get cubic feet or meters. Divide by 27 to convert cubic feet to cubic yards.

How many square feet is a load of concrete? ›

One Cubic Yard of Concrete: 4-inches thick – covers 81 square feet. 5-inches thick – covers 65 square feet. 6-inches thick – covers 54 square feet.

What is the load bearing capacity of a 4 concrete slab? ›

The concrete strength of a 4” slab, 3,000 psi, rebar at mid-depth, will have an allowable point (wheel) load of over 8,000 lbs depending on actual concrete area. That's 8,000 lbs at each wheel.

What is the allowable bearing capacity of a foundation? ›

Allowable bearing capacity: The maximum pressure that can be applied to the soil from the foundation so that the two requirements are satisfied: Acceptable safety factor against shear failure below the foundation. Acceptable total and differential settelement.

What is the formula for bearing capacity? ›

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 load of a foundation? ›

Bearing capacity of a foundation is the maximum load that can be applied on a foundation, before failure or uncontrolled deformations occur. To be clear, there is no one “bearing capacity” for fill.

How to do load-bearing calculations? ›

Bearing calculation

The Computation of Bearing Loads is simplified as follows: R= Radial load – loads that are perpendicular to the shaft. T= Thrust load – loads that are parallel to the axis of the bearing. C= Combined load is a result of calculating both Radial and Thrust loads using the combined load calculations.

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