Stress and Strain MCQ – Objective Questions with Answers

Stress and Strain MCQ – Objective Questions with Answers

Mechanical Engineering › Strength of Materials | Free practice MCQs with detailed explanations

Last Updated: June 2026

📌 About this MCQ Set

Stress is the internal resisting force per unit area developed in a body under load, and strain is the resulting deformation per unit original dimension. Together they form the foundation of the strength of materials.

These MCQs cover definitions, units, types of stress and strain, and Poisson’s ratio.

8 questions • every answer comes with a worked explanation. Click Show Answer to check yourself.

📖 New to this topic? Read the full concept guide: Stress and Strain

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Stress and Strain MCQs

Q1. Stress is defined as:

  1. Force × area
  2. Internal resisting force per unit area
  3. Deformation per unit length
  4. Force per unit volume
Show Answer

Answer: B. Internal resisting force per unit area

Stress = internal resisting force / cross-sectional area, with units N/m² (Pa).

Q2. The SI unit of stress is:

  1. Newton
  2. Pascal (N/m²)
  3. Joule
  4. Newton-metre
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Answer: B. Pascal (N/m²)

Stress has units of force per area = N/m² = Pascal.

Q3. Strain is:

  1. Measured in pascals
  2. A dimensionless ratio
  3. Measured in newtons
  4. Force per area
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Answer: B. A dimensionless ratio

Strain = change in dimension / original dimension, so it is dimensionless.

Q4. Shear strain is best described as:

  1. A normal deformation
  2. An angular deformation (radians)
  3. A change in volume
  4. A force
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Answer: B. An angular deformation (radians)

Shear strain measures angular distortion and is expressed in radians.

Q5. Poisson’s ratio is the ratio of:

  1. Longitudinal to lateral strain
  2. Lateral strain to longitudinal strain
  3. Stress to strain
  4. Shear to normal stress
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Answer: B. Lateral strain to longitudinal strain

Poisson’s ratio ν = − lateral strain / longitudinal strain.

Q6. Engineering (nominal) stress is computed using the:

  1. Instantaneous area
  2. Original cross-sectional area
  3. Mean area
  4. Surface area
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Answer: B. Original cross-sectional area

Engineering stress uses the original area; true stress uses the instantaneous area.

Q7. The ratio of change in volume to original volume is called:

  1. Linear strain
  2. Shear strain
  3. Volumetric strain
  4. Lateral strain
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Answer: C. Volumetric strain

Volumetric strain = ΔV/V = sum of the three linear strains (εx + εy + εz).

Q8. In a tensile test beyond yield, true stress is ____ engineering stress:

  1. Less than
  2. Equal to
  3. Greater than
  4. Unrelated to
Show Answer

Answer: C. Greater than

As the actual area reduces (necking), true stress exceeds engineering stress.

Frequently Asked Questions

What is the difference between stress and strain?

Stress is the internal resisting force per unit area (N/m²); strain is the resulting deformation per unit original dimension and is dimensionless.

What is Poisson’s ratio?

The ratio of lateral strain to longitudinal strain; for most metals it lies between about 0.25 and 0.35.

Is strain a unit or dimensionless?

Strain is dimensionless because it is a ratio of two lengths (or a ratio of volumes for volumetric strain).

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