Civil Engineering (CE) Exam  >  Civil Engineering (CE) Questions  >  When a body is subjected to three mutually pe... Start Learning for Free
When a body is subjected to three mutually perpendicular stresses, of equal intensity, the ratio of direct stress to the corresponding volumetric strain is known as
  • a)
    Young's modulus
  • b)
    modulus of rigidity
  • c)
    bulk modulus
  • d)
    Poisson's ratio
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
When a body is subjected to three mutually perpendicular stresses, of ...
Bulk modulus is defined as the ratio of stress to volumetric strain. In this case the forces are acting on the faces in three directons. The body in each side either it elongated or compressed. Finally the volume of the object changes.
Free Test
Community Answer
When a body is subjected to three mutually perpendicular stresses, of ...
Bulk modulus is the correct answer.

Explanation:
When a body is subjected to three mutually perpendicular stresses of equal intensity, it undergoes deformation in different directions. This results in a change in volume of the body. The ratio of the direct stress (σ) to the corresponding volumetric strain (ε) is known as the bulk modulus (K).

The bulk modulus is a measure of the resistance of a substance to undergo a change in volume when subjected to external forces or stresses. It is a property of the material and is often denoted by the symbol K.

The formula for bulk modulus is given by:
K = -σ/ε

Where:
K = Bulk modulus
σ = Direct stress
ε = Volumetric strain

When three mutually perpendicular stresses of equal intensity are applied to a body, the volumetric strain is given by:
ε = (σ1 + σ2 + σ3)/(3K)

Where:
σ1, σ2, σ3 = Stresses in three mutually perpendicular directions

Since the stresses are of equal intensity, σ1 = σ2 = σ3 = σ, the volumetric strain becomes:
ε = (3σ)/(3K) = σ/K

Therefore, the ratio of direct stress (σ) to the corresponding volumetric strain (ε) is σ/ε = σ/(σ/K) = K.

Hence, the correct answer is option 'C' - bulk modulus.
Explore Courses for Civil Engineering (CE) exam

Top Courses for Civil Engineering (CE)

When a body is subjected to three mutually perpendicular stresses, of equal intensity, the ratio of direct stress to the corresponding volumetric strain is known asa)Young's modulusb)modulus of rigidityc)bulk modulusd)Poisson's ratioCorrect answer is option 'C'. Can you explain this answer?
Question Description
When a body is subjected to three mutually perpendicular stresses, of equal intensity, the ratio of direct stress to the corresponding volumetric strain is known asa)Young's modulusb)modulus of rigidityc)bulk modulusd)Poisson's ratioCorrect answer is option 'C'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about When a body is subjected to three mutually perpendicular stresses, of equal intensity, the ratio of direct stress to the corresponding volumetric strain is known asa)Young's modulusb)modulus of rigidityc)bulk modulusd)Poisson's ratioCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for When a body is subjected to three mutually perpendicular stresses, of equal intensity, the ratio of direct stress to the corresponding volumetric strain is known asa)Young's modulusb)modulus of rigidityc)bulk modulusd)Poisson's ratioCorrect answer is option 'C'. Can you explain this answer?.
Solutions for When a body is subjected to three mutually perpendicular stresses, of equal intensity, the ratio of direct stress to the corresponding volumetric strain is known asa)Young's modulusb)modulus of rigidityc)bulk modulusd)Poisson's ratioCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Civil Engineering (CE). Download more important topics, notes, lectures and mock test series for Civil Engineering (CE) Exam by signing up for free.
Here you can find the meaning of When a body is subjected to three mutually perpendicular stresses, of equal intensity, the ratio of direct stress to the corresponding volumetric strain is known asa)Young's modulusb)modulus of rigidityc)bulk modulusd)Poisson's ratioCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of When a body is subjected to three mutually perpendicular stresses, of equal intensity, the ratio of direct stress to the corresponding volumetric strain is known asa)Young's modulusb)modulus of rigidityc)bulk modulusd)Poisson's ratioCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for When a body is subjected to three mutually perpendicular stresses, of equal intensity, the ratio of direct stress to the corresponding volumetric strain is known asa)Young's modulusb)modulus of rigidityc)bulk modulusd)Poisson's ratioCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of When a body is subjected to three mutually perpendicular stresses, of equal intensity, the ratio of direct stress to the corresponding volumetric strain is known asa)Young's modulusb)modulus of rigidityc)bulk modulusd)Poisson's ratioCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice When a body is subjected to three mutually perpendicular stresses, of equal intensity, the ratio of direct stress to the corresponding volumetric strain is known asa)Young's modulusb)modulus of rigidityc)bulk modulusd)Poisson's ratioCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Civil Engineering (CE) tests.
Explore Courses for Civil Engineering (CE) exam

Top Courses for Civil Engineering (CE)

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