Modulus of Elasticity Numericals
Q1: A rod 10 m long has a cross-sectional area 1.5 × 10-4 m2. It is subjected to a load of 10 kg. If Young’s modulus of the material is 4 × 1010 N/m2, calculate the elongation produced in the wire.
Q2: A metallic cube of side 100 cm is subjected to a uniform force acting normal to the whole surface of the cube. The pressure is 106 pascal. If the volume changes by 1.25 x 10-3 m3, calculate the bulk modulus of the material.
Q3: A metal cube of side 0.45 m is subjected to a shearing force of 8000 N. The top surface is displaced through 0.30 cm with respect to the bottom. Calculate the shear modulus of metal.
Q4: A mild steel wire of radius 0.5 mm and length 3 m is stretched by a force of 49 N. calculate a) longitudinal stress, b) longitudinal strain c) elongation produced in the body if Y for steel is 2.1 × 1011 N/m2.
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