When the material is under tension, it is known as tensile. The forces that are acting along the axis of force are responsible for the stretching of the material. The external force per unit area of the material resulting in the stretch of the material is known as tensile stress.
What is Tensile Stress?
Tensile stress is a quantity associated with stretching or tensile forces. It is responsible for the elongation of the material along the axis of the applied load.Â Tensile stress is defined as:
The magnitude F of the force applied along an elastic rod divided by the crosssectional area A of the rod in a direction that is perpendicular to the applied force.
Ductile materials have the tendency to withstand the load while brittle materials fail before reaching the ultimate material strength.
When a tensile force acts on the material, the following tensile properties can be calculated:
 Elastic modulus: It is the stiffness of the material and also known as modulus of elasticity. It is defined as the ratio of stress and strain when the deformation is completely elastic. To measure elastic modulus, the stressstrain curve is used.
 Ultimate tensile stress (UTS): It is defined as the maximum stress that a material can withstand when a force is applied. When the materials are pushed beyond UTS they experience the cracking.
 Modulus of resilience: It is defined as the ratio between tensile stress and two times the Youngs modulus of the material.
 Fracture stress: It is defined as the maximum stress that is experienced in a crack point before it breaks down and is denoted asÂ Ïƒ_{f}.
Tensile Stress Formula
Where,
 Ïƒ is the tensile stress
 F is the force acting
 A is the crosssectional area
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Tensile Stress Unit
Following is the table explaining the units and dimensional formula:
Unit  Nm^{2} 
SI unit  Pascal 
Dimensional formula  ML^{1}T^{2} 
Tensile Stress Example
Following are the examples:
 Connecting rods
 An elevator cable
Difference Between Tensile Stress And Tensile Strength
Tensile stress  Tensile strength 
It is defined as force per unit area which is associated with stretching and denoted by Ïƒ.  It is defined as the amount of tensile stress a material can withstand before breaking and denoted by s. 
The formula is: Ïƒ = F/A
Where,

The formula is: s = P/a
Where,

Difference Between Tensile Stress And Compressive Stress
Parameter  Tensile stress  Compressive stress 
Definition  It is defined as the stress that results in the elongation of the material.  It is defined as the stress that results in the compression of the material. 
Caused by  Caused due to a stretching force.  Caused due to a compressive force. 
Examples  The cable of a crane  Concrete pillars that are used as support. 