

Stress - Types of Stress, Definition and Formula
Stress is a physical quantity that defines force per unit area applied to a material. stress is a physical science and engineering, force per unit area within the material that arises from externally applied forces. The maximum stress material can stand before it breaks is called the breaking stress or ultimate tensile stress. Tensile means the material is under Tension. The forces acting on the material are trying to stretch the body. When the elastic bodies regain their initial shape is causes an internal restoring force. If we try to compute this restoring force that acts on per unit area of the misshapen body it will be termed as stress. When the forces acting on the body are trying to squash it is compression.
The formula below is used to calculate the stress:
stress =force/ Cross-sectional area
σ= F/A
Where,
σ= stress
F= Force in Newton (N)
A= cross-sectional area in m²
Units of stress= N/m² or Pascals (Pa)
Types of Stress
There is various type of stress in physics but mainly it is categorized into three forms:
Normal stress
Tangential stress or Shearing stress
Hydraulic stress
Normal Stress
stress that occurs when a member is loaded by an axial force is known as normal force. In other words, when, the stress applied is perpendicular to the body. The length of body volume of the object is changed stress will be at normal. It represents the symbol σ. SI unit of Normal stress is MPa.
The formula below is used to calculate the Normal stress:
Normal stress=Axial force/Cross-Sectional Area
σ =P/A
Normal stress will occur when an object is placed in tension or compression.
Longitudinal Stress
When the length of the body changes its length by normal stress that is applied is known as Longitudinal stress.
Longitudinal stress = Deforming Force / Area of cross section
Longitudinal stress= F/A
Longitudinal stress can be further categorized and divided into two shorts. Tensile stress can be observed when a rod is stretched under Newton’s third law of motion. A rubber band being stretched out is a common example of tensile stress. The opposite of tension is compression When it will be acting on the rod that is pushed by opposite or equal forces at its ends. If you’ve ever squeezed a rubber ball in your hands, you were creating compressive stress.
Bulk Stress or Volume Stress
Volume stress is the stress in which the volume of the body changes due to the stress. Normal stress on a body causes change in length or volume and tangential stress produces the change in the shape of the body is called volume stress. A body that is under the force of pressure p, when submerged in a liquid, the body confront the force that is perpendicular to the surface of the body.
Bulk stress = Force /Area = Pressure
Shearing Stress
Shearing stress is a force applied tangentially over the surface area of the plane. When the forces being applied to the surface are parallel to it and the stress which is acting on the surface also plots a tangent. This kind of stress is known as Shearing stress.
Sharing stress= Force/ Surface Area = F/A
Tensile Stress
The force per unit area is defined as Tensile stress. If the stress is applied then the length of the body is increasing because of the force. Tensile stress is observed when a rod is stretched under motion’s third law. Rubber is a common example of tensile stress. It is the quantity associated with stretching. It is denoted by σ.
Compression Stress
When we apply a tangential force on the body the shape and volume of the body are changed. When the compression stress has applied the length of the body is decreased. Compression stress is opposite to Tensile stress. If you’ve ever squeezed a pet’s squeak toy in your hand, you are creating compression stress on the body.
Tangential Stress
When we expressed as force per unit area that is normal stress and tangential stress respectively. When two equal and opposite deforming forces are applied parallel to the cross-sectional area of an object, there is the relative displacement between the opposite faces of the body, and the restoring force per unit area developed due to the applied tangential force is known as tangential stress.
Hydraulic Stress
Hydraulic stress is the measure of the internal force per unit area acting on the liquids. Hydraulic stress is the restoring force per unit area when the force is applied by the fluid on the body. stress is not physically the same as pressure, because in pressure external force per unit area is considered, but in stress, it is the internal force per unit area. In the case of liquids, hydraulic stress is defined in the same way.
Radial Stress
The radial stress is for a thick-walled cylinder, which is equal and opposite to the gauge pressure on the inside surface and zeroes on the outside surface. The circumferential stress and longitudinal stress are larger than radial stress so radial stress is neglected.
stress is a physical quantity that defines the internal force. The stress is specified as the force across a “small” boundary per unit area of that boundary. stress is a fundamental quantity, like velocity, torque (energy).
One question strike in your mind is which thing you can stress and which are not. You must have noticed that there are certain objects just like rubber you can stretch easily. In other words, we can explain it when a stretching force (Tensile Force) is applied to any object. It will expand. For example, a rubber band can stretch easily. Tensile Force applied on rubber object. However, can you stretch an iron rod? The answer is no because the tensile force is not applied to the iron rod.
There are some basic premises of continuum mechanics, stress is a macroscopic concept. The particles to think in its description and analysis should be just small sufficient to work as homogeneous in creation and state, but still large appropriate to ignore quantum effects and the detailed motions of molecules. Like this the force between two particles is the mean of a very large number of atomic forces between their molecules; and in a physical terms like mass, velocity, and forces, it works through the bulk of three-dimensional bodies, are assumed to be smoothly dispensed over them.
Let us discuss this via an example-Take to a rubber pipe and an iron rod, take another object in a square shape and the second object hangs on the rubber pipe and iron rod. Wait for some time then pull both objects in the first object you can see that the first object has Tensile Force and another object does not have Tensile Force.
stress analysis is a part of applied physics that veil the classification of the internal distribution of internal forces in solid objects.
It is an important part of engineering to study and design structures such as dams, structural frames, and tunnels, mechanical parts, under prescribed or expected loads. It is also essential in much other regimentation; for example, in geology, to study theories like plate tectonics, volcanism, and avalanches; and in biology, to understand the anatomy of living beings.
Practical Applications of the Concept of Stress
The concept of stress is applied every day in fields like mechanical engineering, architecture. Given below are a few generic examples of the application of stress:
The concept of stress is used in architecture to plan the structure of a building. Everything from the foundations of the building to the support beams to the columns is built around the concept of stress and how it affects the different parts of the building.
Stress is also used heavily in fields like Robotics and mechanical engineering. It is necessary to know how different parts of a mechanical object might exert stress on each other, to prevent any mishaps.
FAQs on Stress
1. What is stress in Physics and how is it mathematically represented?
Stress is defined as the internal restoring force per unit area developed within a material when an external force acts on it. It is mathematically given by σ = F/A, where σ is stress, F is the applied force in Newtons (N), and A is the cross-sectional area in m². The SI unit of stress is Pascal (Pa) or N/m².
2. Can you explain the different types of stress encountered in solids?
The main types of stress in solids are:
- Normal (Longitudinal) Stress: Force acts perpendicular to the surface; can be tensile (pulling) or compressive (pushing).
- Shearing (Tangential) Stress: Force acts parallel to the surface, changing the shape without altering volume.
- Hydraulic (Bulk or Volume) Stress: Developed when a force is applied to liquids or acts from all sides, changing the volume of the object.
3. How does tensile stress differ from compressive stress, with examples?
Tensile stress stretches a material, increasing its length (e.g., pulling a rubber band). Compressive stress squeezes the material, reducing its length (e.g., pressing a spring or squeezing a rubber ball). Both are types of normal stress but act in opposite directions.
4. What is the physical significance of ultimate tensile stress or breaking stress?
Ultimate tensile stress is the maximum stress a material can withstand before breaking. It indicates the strength of the material and is crucial when selecting materials for construction and engineering, as exceeding this limit can lead to failure or fracture.
5. Why is the concept of stress fundamental in engineering and material science?
Stress analysis allows engineers to determine if structures like buildings, bridges, or machine parts can safely handle expected loads. Understanding stress helps prevent material failure, optimizes design, and ensures structural safety in real-world applications.
6. How is shear stress different from normal stress, and why is it important?
Shear stress acts parallel to the surface, causing deformation by sliding layers, while normal stress acts perpendicular, causing stretching or compression. Shear stress is important for understanding how materials respond to forces that do not just stretch or compress but also tend to distort shapes, such as in beams and joints.
7. What factors influence the magnitude of stress in a material?
The magnitude of stress depends on:
- The magnitude of the applied external force (F)
- The cross-sectional area (A) of the material where the force acts
- The angle and direction of force application
For a given force, smaller area results in higher stress, which is why sharp objects cause more damage than blunt ones.
8. Can you provide real-life examples where stress analysis is essential?
Examples include:
- Bridges and Buildings: Calculating stress on various components ensures structural integrity.
- Medical Applications: Artificial joints and bones must withstand repeated stress.
- Robotics & Machinery: Machine parts are designed to endure operational stresses without failure.
9. How does stress relate to strain, and why is this distinction important?
Stress is the applied force per unit area, while strain is the relative deformation or change in shape/size in response to stress. Understanding both helps predict how materials will deform and behave under various forces, which is critical for design and safety.
10. What are some misconceptions students have about stress in Physics?
Common misconceptions include:
- Confusing stress (force per unit area) with force itself
- Assuming stress always leads to permanent deformation (in reality, elastic materials return to original shape below the elastic limit)
- Thinking stress and pressure are identical (pressure is external, stress is internal response)
11. How does the concept of stress apply to fluids compared to solids?
In fluids, hydraulic (or bulk) stress refers to the internal forces per unit area caused by fluid pressure. Unlike solids, which can withstand shear and normal stresses, fluids mainly transmit stress as pressure, which always acts perpendicular to surfaces.
12. What happens if the applied stress exceeds the elastic limit of a material?
If applied stress exceeds the elastic limit, the material experiences permanent deformation and cannot return to its original shape. If further increased, it may ultimately break at its ultimate tensile strength.

















