Elasticity Calculator:
Enter the values of stress, Se(MPa) and strain, Sa to determine the value of the Modulus of Elasticity, E(MPa).
Elasticity Formula:
Elasticity is the property of a material that allows it to return to its original shape and size after being deformed by an external force. It measures the ability of a material to resist deformation and recover its shape after the removal of the applied stress. Elasticity plays a crucial role in designing materials and structures that can withstand loads without permanent deformation.
The measure of elasticity is expressed as the modulus of elasticity, often denoted as E. It is the ratio of stress to strain, representing the stiffness of the material. Stress is the force applied per unit area, and strain is the relative deformation experienced by the material.
Materials with high elasticity, such as steel, can endure significant stress while maintaining their shape. In contrast, materials with low elasticity, like rubber, deform more under similar conditions. Elasticity is an essential concept in engineering and physics, particularly for applications requiring resilience and durability.
Modulus of Elasticity, E(MPa) in megaPascals is calculated by dividing the stress, Se(MPa) in megaPascals (measured as force per unit area), by the strain, Sa (measured as the ratio of deformation to the original dimension).
Modulus of Elasticity, E(MPa) = Se(MPa) / Sa
E(MPa) = modulus of elasticity in megaPascals, MPa.
Se(MPa) = stress in megaPascals, MPa.
Sa = strain.
Elasticity Calculation:
1.A steel rod is subjected to a stress 300MPa, resulting in a strain of 0.0015. Calculate the modulus of elasticity.
Given: Se(MPa) = 300MPa, Sa = 0.0015.
Modulus of Elasticity, E(MPa) = Se(MPa) / Sa
E(MPa) = 300 / 0.0015
E(MPa) = 200000MPa.
2.A material with a modulus of elasticity of 50,000 experiences a strain of 0.002. Calculate the stress.
Given: E(MPa) = 50000MPa, Sa = 0.002.
Modulus of Elasticity, E(MPa) = Se(MPa) / Sa
Se(MPa) = E(MPa) * Sa
Se(MPa) = 50000 * 0.002
Se(MPa) = 100MPa.