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Two identical circular rods of same diameter and same length are subjected to same magnitude of axial tensile force. One of the rods is made out of mild steel having the modulus of elasticity of 206 GPa. The other rod is made out of cast iron having the modulus of elasticity of 100 GPa. Assume both the materials to be homogeneous and isotropic and the axial force causes the same amount of uniform stress in both the rods. The stresses developed are within the proportional limit of the respective materials. Which of the following observations is correct?
- a)Both rods elongate by the same amount
- b)Mild steel rod elongates more than the cast iron rod
- c)Cast iron rod elongates more than the mild steel rod
- d)As the stresses are equal strains are also equal in both the rods
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Two identical circular rods of same diameter and same length are subje...
Axial Tensile Force on Two Identical Circular Rods
Given: Two identical circular rods of the same diameter and length are subjected to the same magnitude of axial tensile force. One rod is made of mild steel having a modulus of elasticity of 206 GPa, while the other rod is made of cast iron with a modulus of elasticity of 100 GPa. Both materials are assumed to be homogeneous and isotropic, and the axial force causes the same amount of uniform stress in both rods within their proportional limit.
To determine: Which of the following observations is correct?
A) Both rods elongate by the same amount
B) Mild steel rod elongates more than the cast iron rod
C) Cast iron rod elongates more than the mild steel rod
D) As the stresses are equal strains are also equal in both the rods
Correct answer: Option 'C'
Explanation:
When identical circular rods made of different materials are subjected to the same magnitude of axial tensile force, the elongations of both rods will be different because the modulus of elasticity of each material is different. The modulus of elasticity is the measure of the stiffness of a material, which is a constant value for a given material.
The elongation of the rod is proportional to the applied force and inversely proportional to the modulus of elasticity. Therefore, the rod with a lower modulus of elasticity will elongate more than the rod with a higher modulus of elasticity for the same applied force.
As the stress developed in both rods is the same, the strain in each rod will be proportional to the modulus of elasticity of the material. Therefore, the cast iron rod will elongate more than the mild steel rod because cast iron has a lower modulus of elasticity than mild steel.
Hence, the correct option is C, i.e., the cast iron rod elongates more than the mild steel rod.
Given: Two identical circular rods of the same diameter and length are subjected to the same magnitude of axial tensile force. One rod is made of mild steel having a modulus of elasticity of 206 GPa, while the other rod is made of cast iron with a modulus of elasticity of 100 GPa. Both materials are assumed to be homogeneous and isotropic, and the axial force causes the same amount of uniform stress in both rods within their proportional limit.
To determine: Which of the following observations is correct?
A) Both rods elongate by the same amount
B) Mild steel rod elongates more than the cast iron rod
C) Cast iron rod elongates more than the mild steel rod
D) As the stresses are equal strains are also equal in both the rods
Correct answer: Option 'C'
Explanation:
When identical circular rods made of different materials are subjected to the same magnitude of axial tensile force, the elongations of both rods will be different because the modulus of elasticity of each material is different. The modulus of elasticity is the measure of the stiffness of a material, which is a constant value for a given material.
The elongation of the rod is proportional to the applied force and inversely proportional to the modulus of elasticity. Therefore, the rod with a lower modulus of elasticity will elongate more than the rod with a higher modulus of elasticity for the same applied force.
As the stress developed in both rods is the same, the strain in each rod will be proportional to the modulus of elasticity of the material. Therefore, the cast iron rod will elongate more than the mild steel rod because cast iron has a lower modulus of elasticity than mild steel.
Hence, the correct option is C, i.e., the cast iron rod elongates more than the mild steel rod.
Community Answer
Two identical circular rods of same diameter and same length are subje...
Ans-C ,why because deltaL(elongation) is inversely propotional to modulous of elasticity so cast iron more elongate
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Two identical circular rods of same diameter and same length are subjected to same magnitude of axial tensile force. One of the rods is made out of mild steel having the modulus of elasticity of 206 GPa. The other rod is made out of cast iron having the modulus of elasticity of 100 GPa. Assume both the materials to be homogeneous and isotropic and the axial force causes the same amount of uniform stress in both the rods. The stresses developed are within the proportional limit of the respective materials. Which of the following observations is correct?a)Both rods elongate by the same amountb)Mild steel rod elongates more than the cast iron rodc)Cast iron rod elongates more than the mild steel rodd)As the stresses are equal strains are also equal in both the rodsCorrect answer is option 'C'. Can you explain this answer?
Question Description
Two identical circular rods of same diameter and same length are subjected to same magnitude of axial tensile force. One of the rods is made out of mild steel having the modulus of elasticity of 206 GPa. The other rod is made out of cast iron having the modulus of elasticity of 100 GPa. Assume both the materials to be homogeneous and isotropic and the axial force causes the same amount of uniform stress in both the rods. The stresses developed are within the proportional limit of the respective materials. Which of the following observations is correct?a)Both rods elongate by the same amountb)Mild steel rod elongates more than the cast iron rodc)Cast iron rod elongates more than the mild steel rodd)As the stresses are equal strains are also equal in both the rodsCorrect answer is option 'C'. 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 Two identical circular rods of same diameter and same length are subjected to same magnitude of axial tensile force. One of the rods is made out of mild steel having the modulus of elasticity of 206 GPa. The other rod is made out of cast iron having the modulus of elasticity of 100 GPa. Assume both the materials to be homogeneous and isotropic and the axial force causes the same amount of uniform stress in both the rods. The stresses developed are within the proportional limit of the respective materials. Which of the following observations is correct?a)Both rods elongate by the same amountb)Mild steel rod elongates more than the cast iron rodc)Cast iron rod elongates more than the mild steel rodd)As the stresses are equal strains are also equal in both the rodsCorrect answer is option 'C'. 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 Two identical circular rods of same diameter and same length are subjected to same magnitude of axial tensile force. One of the rods is made out of mild steel having the modulus of elasticity of 206 GPa. The other rod is made out of cast iron having the modulus of elasticity of 100 GPa. Assume both the materials to be homogeneous and isotropic and the axial force causes the same amount of uniform stress in both the rods. The stresses developed are within the proportional limit of the respective materials. Which of the following observations is correct?a)Both rods elongate by the same amountb)Mild steel rod elongates more than the cast iron rodc)Cast iron rod elongates more than the mild steel rodd)As the stresses are equal strains are also equal in both the rodsCorrect answer is option 'C'. Can you explain this answer?.
Two identical circular rods of same diameter and same length are subjected to same magnitude of axial tensile force. One of the rods is made out of mild steel having the modulus of elasticity of 206 GPa. The other rod is made out of cast iron having the modulus of elasticity of 100 GPa. Assume both the materials to be homogeneous and isotropic and the axial force causes the same amount of uniform stress in both the rods. The stresses developed are within the proportional limit of the respective materials. Which of the following observations is correct?a)Both rods elongate by the same amountb)Mild steel rod elongates more than the cast iron rodc)Cast iron rod elongates more than the mild steel rodd)As the stresses are equal strains are also equal in both the rodsCorrect answer is option 'C'. 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 Two identical circular rods of same diameter and same length are subjected to same magnitude of axial tensile force. One of the rods is made out of mild steel having the modulus of elasticity of 206 GPa. The other rod is made out of cast iron having the modulus of elasticity of 100 GPa. Assume both the materials to be homogeneous and isotropic and the axial force causes the same amount of uniform stress in both the rods. The stresses developed are within the proportional limit of the respective materials. Which of the following observations is correct?a)Both rods elongate by the same amountb)Mild steel rod elongates more than the cast iron rodc)Cast iron rod elongates more than the mild steel rodd)As the stresses are equal strains are also equal in both the rodsCorrect answer is option 'C'. 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 Two identical circular rods of same diameter and same length are subjected to same magnitude of axial tensile force. One of the rods is made out of mild steel having the modulus of elasticity of 206 GPa. The other rod is made out of cast iron having the modulus of elasticity of 100 GPa. Assume both the materials to be homogeneous and isotropic and the axial force causes the same amount of uniform stress in both the rods. The stresses developed are within the proportional limit of the respective materials. Which of the following observations is correct?a)Both rods elongate by the same amountb)Mild steel rod elongates more than the cast iron rodc)Cast iron rod elongates more than the mild steel rodd)As the stresses are equal strains are also equal in both the rodsCorrect answer is option 'C'. Can you explain this answer?.
Solutions for Two identical circular rods of same diameter and same length are subjected to same magnitude of axial tensile force. One of the rods is made out of mild steel having the modulus of elasticity of 206 GPa. The other rod is made out of cast iron having the modulus of elasticity of 100 GPa. Assume both the materials to be homogeneous and isotropic and the axial force causes the same amount of uniform stress in both the rods. The stresses developed are within the proportional limit of the respective materials. Which of the following observations is correct?a)Both rods elongate by the same amountb)Mild steel rod elongates more than the cast iron rodc)Cast iron rod elongates more than the mild steel rodd)As the stresses are equal strains are also equal in both the rodsCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mechanical Engineering.
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Here you can find the meaning of Two identical circular rods of same diameter and same length are subjected to same magnitude of axial tensile force. One of the rods is made out of mild steel having the modulus of elasticity of 206 GPa. The other rod is made out of cast iron having the modulus of elasticity of 100 GPa. Assume both the materials to be homogeneous and isotropic and the axial force causes the same amount of uniform stress in both the rods. The stresses developed are within the proportional limit of the respective materials. Which of the following observations is correct?a)Both rods elongate by the same amountb)Mild steel rod elongates more than the cast iron rodc)Cast iron rod elongates more than the mild steel rodd)As the stresses are equal strains are also equal in both the rodsCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Two identical circular rods of same diameter and same length are subjected to same magnitude of axial tensile force. One of the rods is made out of mild steel having the modulus of elasticity of 206 GPa. The other rod is made out of cast iron having the modulus of elasticity of 100 GPa. Assume both the materials to be homogeneous and isotropic and the axial force causes the same amount of uniform stress in both the rods. The stresses developed are within the proportional limit of the respective materials. Which of the following observations is correct?a)Both rods elongate by the same amountb)Mild steel rod elongates more than the cast iron rodc)Cast iron rod elongates more than the mild steel rodd)As the stresses are equal strains are also equal in both the rodsCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for Two identical circular rods of same diameter and same length are subjected to same magnitude of axial tensile force. One of the rods is made out of mild steel having the modulus of elasticity of 206 GPa. The other rod is made out of cast iron having the modulus of elasticity of 100 GPa. Assume both the materials to be homogeneous and isotropic and the axial force causes the same amount of uniform stress in both the rods. The stresses developed are within the proportional limit of the respective materials. Which of the following observations is correct?a)Both rods elongate by the same amountb)Mild steel rod elongates more than the cast iron rodc)Cast iron rod elongates more than the mild steel rodd)As the stresses are equal strains are also equal in both the rodsCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of Two identical circular rods of same diameter and same length are subjected to same magnitude of axial tensile force. One of the rods is made out of mild steel having the modulus of elasticity of 206 GPa. The other rod is made out of cast iron having the modulus of elasticity of 100 GPa. Assume both the materials to be homogeneous and isotropic and the axial force causes the same amount of uniform stress in both the rods. The stresses developed are within the proportional limit of the respective materials. Which of the following observations is correct?a)Both rods elongate by the same amountb)Mild steel rod elongates more than the cast iron rodc)Cast iron rod elongates more than the mild steel rodd)As the stresses are equal strains are also equal in both the rodsCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Two identical circular rods of same diameter and same length are subjected to same magnitude of axial tensile force. One of the rods is made out of mild steel having the modulus of elasticity of 206 GPa. The other rod is made out of cast iron having the modulus of elasticity of 100 GPa. Assume both the materials to be homogeneous and isotropic and the axial force causes the same amount of uniform stress in both the rods. The stresses developed are within the proportional limit of the respective materials. Which of the following observations is correct?a)Both rods elongate by the same amountb)Mild steel rod elongates more than the cast iron rodc)Cast iron rod elongates more than the mild steel rodd)As the stresses are equal strains are also equal in both the rodsCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Mechanical Engineering tests.
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