Elastic Constants

By : Vikas Bhadoria

Updated : Feb 21, 2021, 6:15

Stress is defined as the force experienced by an elastic material from neighboring sources whereas a strain is defined as the deformity in any object due to stress. The constants and variables which show the relation between stress and strain of materials are called Elastic Constants. These constants are used in explaining the elastic behavior of any particular material. Elastic Constants GATE questions are asked in the Applied Mechanics and Design section for Mechanical Engineering. You can find Elastic Constants applications in various fields like Elastic Constants for computer science, etc. Read on to know more about the Elastic Constants syllabus for GATE.

Important Elastic Constants Topics for GATE ME



Modulus of Elasticity

The ratio between stress and longitudinal strain is defined as the Modulus of Elasticity (E).

Suppose an axial load is applied on a bar along the longitudinal axis. The length of the bar will increase in the direction of force applied which induces a stress ‘σ’ in the bar. If ‘ε’ is the strain then E = σ/ ε.

Poisson’s Ratio

It is a unitless elastic constant that defines the ratio between lateral strain & longitudinal strain. It is denoted by ‘µ’ or 1/m.

Modulus of Rigidity

Shear strain is the ratio of deformed length to the original length perpendicular to axes of the material on which shear strain is applied.

Shear Stress is the stress applied to the cross-sectional area of the material.

Modulus of Rigidity defines the relationship between shear stress ‘τ’ and shear strain ‘γ’. Modulus of Rigidity is represented by ‘G’ and also termed as the Shear Modulus.

Bulk Modulus

If three equal and mutually perpendicular stresses are applied on a material then the ratio of direct stress ‘σ’ to the volumetric strain ‘εv’ is defined as the Bulk Modulus (K) of the material.


K = σ /εv

Tips to Solve Elastic Constants Questions for GATE ME

  • Practice previous years’ GATE Elastic Constants MCQ questions.
  • You should be well-versed with the Elastic Constants topics for GATE ME along with various formulas.
  • Taking the Elastic Constants online tests will help you in increasing your speed of solving questions.
  • You need to have strong arithmetic and numerology skills to solve Elastic Constants Questions quickly.

Importance of Elastic Constants in GATE

  • Elastic Constants GATE syllabus is included in the Applied Mechanics and Design section of the GATE ME exam each year.
  • Elastic Constants questions will test your ability to perform numerical operations in the given time limit. Practice Elastic Constants quizzes to increase your speed.
  • Elastic Constant questions test your knowledge about structural analysis, design, applied mechanics, etc.
  • Elastic Constants has applications in the construction of various materials like bone fibers, polymers, elastomers, rubber bands, steel bars, etc.

Most Recommended Books for Elastic Constants for GATE

You should prefer quality Elastic Constants study material for GATE ME preparation. Some of the best Elastic Constants books for GATE exam preparation are as follows:



Strength of Materials

Arun Kumar Jain

A Textbook of Strength of Materials

R.K. Bansal

Strength of Materials

Ashok Kumar Jain

Why prepare Elastic Constants from BYJU'S Exam Prep?

BYJU'S Exam Prep is the most used online platform for competitive exam preparation in India. There are more than 11 million students registered with BYJU'S Exam Prep. You can find quality Elastic Constants GATE notes on BYJU'S Exam Prep. You can also access/download Elastic Constants notes for GATE PDF or Elastic Constants GATE questions and answers PDF via BYJU'S Exam Prep. You can also test yourself via various Elastic Constants online quizzes available on BYJU'S Exam Prep. You can also attend online classes from expert faculty on BYJU'S Exam Prep and can gain access to previous years’ GATE questions for practice. You can also download Elastic Constants MCQ PDF form BYJU'S Exam Prep.


Q. How are the materials classified based on elastic properties?

The materials can be classified based on their elastic properties. Various types of materials are Homogeneous Materials, Isotropic Materials, Anisotropic Materials, and Orthotropic Materials.

Q. What is the Hydrostatic Static State of stress?

The state in which all the applied stresses are equal & tensile is defined as the Hydrostatic Static State of stress.

Q. What is the relationship between Shear Modulus and Modulus of Elasticity/

The relationship between Shear Modulus (G) and Modulus of Elasticity (E) is defined as E = 2G (1 + µ).

Q. What are some other Elastic Constant topics asked in the GATE ME exam?

Some other Elastic Constant topics from which questions are asked in the GATE ME exam are volumetric strain, linear elastic materials, true strain, stress amplitude, etc. You can refer to the Elastic Constants notes for ME available on BYJU'S Exam Prep to know more.

Q. What is the relationship between the Modulus of Elasticity and Bulk Modulus?

The relationship between the Modulus of Elasticity (E) and Bulk Modulus (K) is defined as E = 3K (1 - 2µ).