Topic 2: Elasticity – Stress and Strain

Elasticity

Elasticity is the property of a material by which it regains its original shape and size after the removal of the deforming force.

Deforming Force

A force which changes the shape or size of a body is called a deforming force.

Stress

Stress is defined as the internal restoring force per unit area developed inside a body when an external force acts on it.

Stress = Force / Area

SI Unit of Stress

The SI unit of stress is pascal (Pa).

Types of Stress

1. Longitudinal Stress

Stress produced when force acts along the length of a body.

2. Volumetric Stress

Stress produced when force acts equally in all directions.

3. Shearing Stress

Stress produced when force acts tangentially to the surface.

Strain

Strain is defined as the ratio of change in dimension to the original dimension of the body.

Strain = Change in dimension / Original dimension

SI Unit of Strain

Strain has no unit as it is a ratio.

Types of Strain

1. Longitudinal Strain

Change in length divided by original length.

2. Volumetric Strain

Change in volume divided by original volume.

3. Shearing Strain

Angular deformation produced due to tangential force.

Q1. Elasticity is the property of a material to:
A) Break easily
B) Conduct heat
C) Regain original shape
D) Change colour

Answer: C


Q2. Stress is defined as:
A) Force × area
B) Force / area
C) Area / force
D) Force × displacement

Answer: B


Q3. SI unit of stress is:
A) Newton
B) Joule
C) Pascal
D) Watt

Answer: C


Q4. Strain is defined as:
A) Force / area
B) Change in length
C) Change in dimension / original dimension
D) Area × length

Answer: C


Q5. SI unit of strain is:
A) Pascal
B) Newton
C) Joule
D) No unit

Answer: D


Q6. Stress produced by tangential force is called:
A) Longitudinal stress
B) Volumetric stress
C) Shearing stress
D) Tensile stress

Answer: C


Q7. Which of the following is a type of strain?
A) Thermal strain
B) Longitudinal strain
C) Tensile stress
D) Pressure

Answer: B


Q8. Stress and strain are related to:
A) Motion
B) Electricity
C) Elasticity
D) Heat

Answer: C

Chapter 6: Mechanical Properties of Solids

Topic 2: Elasticity – Stress & Strain – Quick Revision

1. Elasticity

Property of a material to regain original shape after removal of deforming force.

2. Stress

Stress = Force / Area

SI unit: Pascal (Pa)

Types of Stress

  • Longitudinal stress
  • Volumetric stress
  • Shearing stress

3. Strain

Strain = Change in dimension / Original dimension

No unit

Types of Strain

  • Longitudinal strain
  • Volumetric strain
  • Shearing strain

Exam Focus (MHT-CET)

Direct MCQs are asked on definitions, formulas, SI units and types of stress and strain.


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