Last Updated on May 1, 2021

Compressive strength of concrete is affected by many factors, including the water-cement ratio, cement strength, the grade of the concrete material, quality control during the manufacturing process, and so on.

## Compressive Strength

The capacity of a material or structure to carry loads on its surface without cracking or deflection is referred to as compressive strength. When a material is compressed, its size appears to shrink, while when it is tensioned, its size elongates.

Some materials crack as their compressive strength reaches its maximum, while others deform irreversibly.

Compressive strength is an important value in civil and structural engineering to consider when building structures. Engineers use the compressive strength of concrete as the most common performance evaluation when constructing buildings and other structures.

Compressive strength is a compressive stress limit condition that causes material failure in the form of ductile failure (infinite theoretical yield) or brittle failure (rupture as the result of crack propagation, or sliding along a weak plane). Materials, elements, and systems have all checked for compressive strength. The ultimate compressive strength of a material is described as the value of uniaxial compressive stress obtained when the material fails completely.

## Stress of a Material

Stress is defined as the force of resistance per unit area provided by a body against deformation. The load or force is the external force acting on the body. The load is applied to the body, while stress is induced in the material. When the resistance given by the member against deformation and the applied load are equal, the loaded member remains in equilibrium.

σ=P/A

where σ = Stress (Pa),

P = External force or load (N),

and A = Cross-sectional area (m2).

## Strain of a Material

Strain is a system’s response to applied stress. When a material is subjected to a force, it generates stress, which causes the material to deform. The sum of deformation in the direction of the applied force divided by the original length of the material is known as engineering strain. This yields a unitless number, which is sometimes left in its natural form, such as inches per inch or meters per meter. To illustrate , the strain in a tensioned bar is the amount of elongation or change in length divided by the initial length.

If the stress is low, the material will only strain slightly and will return to its original size after the stress is released. This is known as elastic deformation since like elastic, it returns to its original state after being stressed. Elastic deformation in a material happens only when stresses are less than a critical stress known as the yield strength. If a material is loaded beyond its elastic limit, it will stay deformed even after the load is removed. This is known as plastic deformation.

## Elastic Modulus of Concrete

The ratio of the applied stress to the resulting strain is known as the concrete modulus of elasticity (Ec). It demonstrates not only concrete’s ability to resist deformation due to applied stress, but also its stiffness. In other words, it represents concrete’s elastic deformation capacity. Concrete’s modulus of elasticity is affected by aggregate and mixture proportions. Concrete generally have an elastic modulus changing between 30 to 50 GPa.

The modulus of elasticity, which must be defined in the design of concrete structures, is highly important. In certain cases, such as the construction of pre-stressed concrete systems, the linear analysis of elements, which is based on elastic theory, is used to satisfy specifications of ultimate and serviceability limit states.

To sum up, modulus of elasticity determines a material’s stiffness and is a good indicator of its strength. It’s the stress-to-strain ratio. Strain(∆L/L) is the deformation (change in shape) caused by stress, and stress is the deforming force acting per unit area (F/A).

## Compressive Strength Formula

The load applied at the point of failure to the cross-section area of the face to which the load was applied is the compressive strength formula for any material.

**Compressive Strength = Load (N)/ Cross-sectional Area(m2)**

N/m2 = Pa kPa=1000 Pa MPa=1000 kPa GPa=1000 MPa

## Compressive Strength of Concrete

To ensure the required strength of the concrete during casting, the compressive strength of concrete is determined in batching plant laboratories by experiments. The strength of concrete is necessary to calculate the strength of the members of a structure. To determine the strength of concrete, concrete specimens are cast and checked under the action of compressive loads.

In brief, compressive strength is determined by dividing the failure load by the area of application of load, which is normally calculated after 28 days of curing. The proportioning of cement, coarse and fine aggregates, water, and multiple admixtures determines the strength of concrete. The water-to-cement ratio is the most important factor in determining concrete strength. The compressive strength increases as the water-cement ratio decreases.

When it comes to evaluating existing structures, compressive strength is an essential parameter to use. It’s used by structural engineers to model different structural properties such as tensile strength and to predict the flexural and shear ability of the elements. Other structural properties, such as ductility and stiffness, can also be described as functions of compressive strength.

## How to measure the compressive strength of concrete?

Compressive strength test, mechanical test that determines the highest compressive load that a material can withstand before fracturing. A gradually applied load compresses the test specimen, which is typically in the shape of a square, prism, or cylinder, between the platens of a compression-testing unit.

The test sample can be a cylinder (15 cm x 30 cm ) or a cube (15 cm x 15cm x 15 cm) depending on the code used. ASTM C39, for example, specifies a common test procedure for determining the compressive strength of concrete cylinders.

1- Concrete is poured into the mold and properly compacted to reduce the air bubbles inside of it.

2- Moulds are removed after 24 hours, and test specimens are placed in water for curing.

3-After seven or 28 days of curing, these specimens are tested by using a compression testing machine.

4-Load is gradually applied until the specimen fails.

5-To calculate the compressive strength of concrete, divide the failure load by the cross-sectional area of the specimen.

### Results

Values are in MPa.

## What is the aim of compressive strength test?

Compression test measures fundamental variables including stress, strain, and deformation to determine a material’s behaviour or response to a compressive load. Compression test may give information about elastic limit, elastic modulus, compressive strength, yield strength, ultimate strength, among other parameters. It is possible to determine whether a material is suitable for specific applications or will fail under the defined stresses by considering these various parameters and the values associated with it

## Compression Testing Machine

The compression testing machine is a widely used testing tool for determining a material’s compressive force or crush resistance, as well as its ability to recover after a given compressive force is applied and even maintained for a fixed period of time, by measuring fundamental variables such as stress, strain, and deformation. The compression test machine is available in a variety of models and capacities to satisfy the need for accurate and consistent testing of concrete samples.

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