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A bar of 20 mm diameter is tested in tension. It is observed that when a load of 30 kN is applied the extension measured over a gauge length of 200 mm is 0.12 mm and contraction in diameter is 0.0036 mm. The Poisson’s ratio is
  • a)
    0.2
  • b)
    0.3
  • c)
    0.25
  • d)
    0.33
Correct answer is option 'B'. Can you explain this answer?
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A bar of 20 mm diameter is tested in tension. It is observed that when...
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A bar of 20 mm diameter is tested in tension. It is observed that when...
's ratio for the material of the bar is 0.3. Calculate the tensile stress, tensile strain, and Young's modulus of the material.

Solution:

Area of the bar = π/4 * (20 mm)^2 = 314.16 mm^2

Tensile stress = Load / Area = 30 kN / 314.16 mm^2 = 95.49 MPa

Tensile strain = Extension / Gauge length = 0.12 mm / 200 mm = 0.0006

Lateral strain = -Poisson's ratio * Tensile strain = -0.3 * 0.0006 = -0.00018

Contraction in diameter = Lateral strain * Diameter = -0.00018 * 20 mm = -0.0036 mm

The negative sign indicates the contraction in diameter.

Using the formula for Young's modulus:

Young's modulus = Tensile stress / Tensile strain = 95.49 MPa / 0.0006 = 159,150 MPa

Therefore, the tensile stress is 95.49 MPa, tensile strain is 0.0006, and Young's modulus is 159,150 MPa.
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A bar of 20 mm diameter is tested in tension. It is observed that when a load of 30 kN is applied the extension measured over a gauge length of 200 mm is 0.12 mm and contraction in diameter is 0.0036 mm. The Poisson’s ratio isa)0.2b)0.3c)0.25d)0.33Correct answer is option 'B'. Can you explain this answer?
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A bar of 20 mm diameter is tested in tension. It is observed that when a load of 30 kN is applied the extension measured over a gauge length of 200 mm is 0.12 mm and contraction in diameter is 0.0036 mm. The Poisson’s ratio isa)0.2b)0.3c)0.25d)0.33Correct answer is option 'B'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A bar of 20 mm diameter is tested in tension. It is observed that when a load of 30 kN is applied the extension measured over a gauge length of 200 mm is 0.12 mm and contraction in diameter is 0.0036 mm. The Poisson’s ratio isa)0.2b)0.3c)0.25d)0.33Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A bar of 20 mm diameter is tested in tension. It is observed that when a load of 30 kN is applied the extension measured over a gauge length of 200 mm is 0.12 mm and contraction in diameter is 0.0036 mm. The Poisson’s ratio isa)0.2b)0.3c)0.25d)0.33Correct answer is option 'B'. Can you explain this answer?.
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