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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 east 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?
[2003]
- a)Both rods elongate by the same amount
- b)Mild steel rod elongates more than the cast iron
- 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?
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Verified Answer
Two identical circular rods of same diameter and same length are subje...
Emild steel = 206 GPa
Ecast iron = 100 GPa
Now, Elongation in cast iron,
Elongation in mild steel,
Ecast iron = 100 GPa
Now, Elongation in cast iron,
Elongation in mild steel,
Most Upvoted Answer
Two identical circular rods of same diameter and same length are subje...
The correct answer is option 'C': Cast iron rod elongates more than the mild steel rod.
Explanation:
When a material is subjected to axial tensile force, it undergoes deformation in the form of elongation. This elongation is directly proportional to the applied force and the material's modulus of elasticity. The modulus of elasticity is a measure of a material's stiffness and its ability to resist deformation under stress.
In this scenario, two identical rods of equal diameter and length are subjected to the same magnitude of axial tensile force. One rod is made of mild steel with a modulus of elasticity of 206 GPa, and the other rod is made of cast iron with a modulus of elasticity of 100 GPa.
Key Points:
- Two identical rods of equal diameter and length are subjected to the same magnitude of axial tensile force.
- One rod is made of mild steel with a modulus of elasticity of 206 GPa.
- The other rod is made of cast iron with a modulus of elasticity of 100 GPa.
Analysis:
The modulus of elasticity of mild steel (206 GPa) is higher than that of cast iron (100 GPa). This means that mild steel is stiffer and has a greater ability to resist deformation under stress compared to cast iron.
Since the axial force causes the same amount of uniform stress in both rods, the rod made of mild steel will experience a lower degree of elongation compared to the rod made of cast iron. This is because the higher modulus of elasticity of mild steel resists deformation more effectively.
Conclusion:
Therefore, the correct observation is that the cast iron rod elongates more than the mild steel rod when subjected to the same magnitude of axial tensile force.
Explanation:
When a material is subjected to axial tensile force, it undergoes deformation in the form of elongation. This elongation is directly proportional to the applied force and the material's modulus of elasticity. The modulus of elasticity is a measure of a material's stiffness and its ability to resist deformation under stress.
In this scenario, two identical rods of equal diameter and length are subjected to the same magnitude of axial tensile force. One rod is made of mild steel with a modulus of elasticity of 206 GPa, and the other rod is made of cast iron with a modulus of elasticity of 100 GPa.
Key Points:
- Two identical rods of equal diameter and length are subjected to the same magnitude of axial tensile force.
- One rod is made of mild steel with a modulus of elasticity of 206 GPa.
- The other rod is made of cast iron with a modulus of elasticity of 100 GPa.
Analysis:
The modulus of elasticity of mild steel (206 GPa) is higher than that of cast iron (100 GPa). This means that mild steel is stiffer and has a greater ability to resist deformation under stress compared to cast iron.
Since the axial force causes the same amount of uniform stress in both rods, the rod made of mild steel will experience a lower degree of elongation compared to the rod made of cast iron. This is because the higher modulus of elasticity of mild steel resists deformation more effectively.
Conclusion:
Therefore, the correct observation is that the cast iron rod elongates more than the mild steel rod when subjected to the same magnitude of axial tensile force.
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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 east 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?[2003]a)Both rods elongate by the same amountb)Mild steel rod elongates more than the cast ironc)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 east 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?[2003]a)Both rods elongate by the same amountb)Mild steel rod elongates more than the cast ironc)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 east 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?[2003]a)Both rods elongate by the same amountb)Mild steel rod elongates more than the cast ironc)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 east 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?[2003]a)Both rods elongate by the same amountb)Mild steel rod elongates more than the cast ironc)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 east 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?[2003]a)Both rods elongate by the same amountb)Mild steel rod elongates more than the cast ironc)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 east 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?[2003]a)Both rods elongate by the same amountb)Mild steel rod elongates more than the cast ironc)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 east 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?[2003]a)Both rods elongate by the same amountb)Mild steel rod elongates more than the cast ironc)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 east 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?[2003]a)Both rods elongate by the same amountb)Mild steel rod elongates more than the cast ironc)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 east 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?[2003]a)Both rods elongate by the same amountb)Mild steel rod elongates more than the cast ironc)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 east 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?[2003]a)Both rods elongate by the same amountb)Mild steel rod elongates more than the cast ironc)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 east 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?[2003]a)Both rods elongate by the same amountb)Mild steel rod elongates more than the cast ironc)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 east 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?[2003]a)Both rods elongate by the same amountb)Mild steel rod elongates more than the cast ironc)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 east 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?[2003]a)Both rods elongate by the same amountb)Mild steel rod elongates more than the cast ironc)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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