How to Calculate Modulus of Elasticity
Modulus of Elasticity, in terms of the stress-strain curve, is the slope of the stress-strain curve in the region of elastic behavior, where stress is linearly proportional to strain.
From the Graph we can measure the Modulus of Elasticity in the following Manner
- Modulus of Elasticity is the slope of the stress-strain curve.
- The region starting from 0 to the Yield strength is known as the elastic region. After that region, the plastic deformation region occurs.
- Yield strength is the stress required to produce a small amount of plastic deformation.
- Ultimate strength is the maximum stress a material can hold while being stress or pulled.
- After the ultimate stress point failure occurs as the material cannot hold the stress and hence breaks.
Determining of Modulus of Elasticity of Wire
Determining Young’s modulus (also known as modulus of elasticity) of a material typically involves performing a tensile test on a wire or specimen.
- Cut a length of the wire to be tested. The wire should be uniform in diameter along its length and free from defects.
- Fix one end of the wire to a fixed clamp or holder. The other end should be attached to a load cell or device capable of applying a controlled tensile force.
- Set up a measurement system to accurately measure the applied force (tensile load) and the corresponding elongation (strain) of the wire.
- Apply a gradually increasing tensile force to the wire while simultaneously measuring the elongation. Ensure that the force is applied uniformly along the length of the wire and that the loading rate is controlled.
- Record the applied force (load) and the corresponding elongation (strain) at regular intervals throughout the test until the wire fractures. Plot a stress-strain curve using the recorded data.
- From the stress-strain curve, determine the elastic (linear) region where the stress is directly proportional to the strain. Calculate the slope of the linear portion of the curve, which represents the Young’s modulus of the material according to Hooke’s law
- Young’s modulus (E) is calculated using the formula: E = Stress/Strain
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Modulus of Elasticity
Modulus of Elasticity or Elastic Modulus is the measurement of resistance offered by a material against the deformation force acting on it. Modulus of Elasticity is also called Young’s Modulus. It is given as the ratio of Stress to Strain. The unit of elastic modulus is megapascal or gigapascal
Modulus of Elasticity is one of the most important concepts of material science and engineering. It is the property of material that measures stiffness to elastic deformation under stress. In this article, we will discuss about Modulus of Elasticity, including its definition, types, and fundamental concepts along with its various applications in day-to-day life.
Table of Content
- What is Modulus of Elasticity
- How to Calculate Modulus of Elasticity
- Modulus of Elasticity Formula
- Modulus of Elasticity of Different Materials
- Modulus of Elasticity vs Modulus of Rigidity