Mechanical Engineering Exam  >  Mechanical Engineering Questions  >  Consider a bar of length L, breadth B and thi... Start Learning for Free
Consider a bar of length L, breadth B and thickness t subjeced to an axial pull or tension P. The resulting volumetric strain will be equal to
  • a)
    ∈ (1 -2v)
  • b)
    2∈ (1 - v )
  • c)
    ∈ (1 + 2v)
  • d)
    3 ∈ v
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Consider a bar of length L, breadth B and thickness t subjeced to an a...

where v is the Poisson’s ratio and ∈ is the longitudinal strain.
View all questions of this test
Most Upvoted Answer
Consider a bar of length L, breadth B and thickness t subjeced to an a...
Explanation:
The volumetric strain (ε_v) is defined as the change in volume per unit volume of the material. When a bar is subjected to axial tension, it experiences elongation in the axial direction and contraction in the lateral directions.

Formula:
ε_v = ε_x + ε_y + ε_z
Where:
ε_x = Strain in x-direction
ε_y = Strain in y-direction
ε_z = Strain in z-direction

Given:
ε_x = P/(A*E)
ε_y = -v*ε_x
ε_z = -v*ε_x
Where:
P = Applied load
A = Cross-sectional area of the bar
E = Young's modulus of the material
v = Poisson's ratio

Calculation:
ε_v = ε_x + ε_y + ε_z
ε_v = ε_x - v*ε_x - v*ε_x
ε_v = ε_x(1 - 2v)
Therefore, the resulting volumetric strain is equal to ε_x(1 - 2v), which corresponds to option 'A' - ∈ (1 - 2v).
Explore Courses for Mechanical Engineering exam

Top Courses for Mechanical Engineering

Question Description
Consider a bar of length L, breadth B and thickness t subjeced to an axial pull or tension P. The resulting volumetric strain will be equal toa)∈ (1 -2v)b)2∈ (1 - v )c)∈(1 + 2v)d)3 ∈ vCorrect answer is option 'A'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Consider a bar of length L, breadth B and thickness t subjeced to an axial pull or tension P. The resulting volumetric strain will be equal toa)∈ (1 -2v)b)2∈ (1 - v )c)∈(1 + 2v)d)3 ∈ vCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider a bar of length L, breadth B and thickness t subjeced to an axial pull or tension P. The resulting volumetric strain will be equal toa)∈ (1 -2v)b)2∈ (1 - v )c)∈(1 + 2v)d)3 ∈ vCorrect answer is option 'A'. Can you explain this answer?.
Solutions for Consider a bar of length L, breadth B and thickness t subjeced to an axial pull or tension P. The resulting volumetric strain will be equal toa)∈ (1 -2v)b)2∈ (1 - v )c)∈(1 + 2v)d)3 ∈ vCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mechanical Engineering. Download more important topics, notes, lectures and mock test series for Mechanical Engineering Exam by signing up for free.
Here you can find the meaning of Consider a bar of length L, breadth B and thickness t subjeced to an axial pull or tension P. The resulting volumetric strain will be equal toa)∈ (1 -2v)b)2∈ (1 - v )c)∈(1 + 2v)d)3 ∈ vCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Consider a bar of length L, breadth B and thickness t subjeced to an axial pull or tension P. The resulting volumetric strain will be equal toa)∈ (1 -2v)b)2∈ (1 - v )c)∈(1 + 2v)d)3 ∈ vCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for Consider a bar of length L, breadth B and thickness t subjeced to an axial pull or tension P. The resulting volumetric strain will be equal toa)∈ (1 -2v)b)2∈ (1 - v )c)∈(1 + 2v)d)3 ∈ vCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of Consider a bar of length L, breadth B and thickness t subjeced to an axial pull or tension P. The resulting volumetric strain will be equal toa)∈ (1 -2v)b)2∈ (1 - v )c)∈(1 + 2v)d)3 ∈ vCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Consider a bar of length L, breadth B and thickness t subjeced to an axial pull or tension P. The resulting volumetric strain will be equal toa)∈ (1 -2v)b)2∈ (1 - v )c)∈(1 + 2v)d)3 ∈ vCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice Mechanical Engineering tests.
Explore Courses for Mechanical Engineering exam

Top Courses for Mechanical Engineering

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev