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A rod of length L and diameter D is subjected to a tensile load P. Which of the following is sufficient to calculate the resulting change in diameter?

  • a)
    Young’s modulus

  • b)
    Shear modulus

  • c)
    Poisson’s ratio

  • d)
    Both Young’s modulus and shear modulus

Correct answer is option 'D'. Can you explain this answer?
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A rod of length L and diameter D is subjected to a tensile load P. Whi...
's modulus and Poisson's ratio of the material
b)Young's modulus and shear modulus of the material
c)Poisson's ratio and shear modulus of the material
d)Only the diameter of the rod before and after the load is applied

a) Young's modulus and Poisson's ratio of the material are sufficient to calculate the resulting change in diameter. Poisson's ratio describes the ratio of lateral strain to axial strain, and together with Young's modulus, which describes the stiffness of the material, can be used to calculate the amount of deformation the rod undergoes under tension. The change in diameter can then be calculated using the relationship between the axial and lateral strains.

b) Shear modulus is not necessary for calculating the change in diameter under tensile load.

c) Poisson's ratio and shear modulus can also be used to calculate the change in diameter, but Young's modulus is still needed to fully describe the material's response to tension.

d) Only knowing the diameter before and after the load is applied is not sufficient to calculate the resulting change in diameter, as it does not take into account the material properties or the magnitude of the load.
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A rod of length L and diameter D is subjected to a tensile load P. Whi...
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A rod of length L and diameter D is subjected to a tensile load P. Which of the following is sufficient to calculate the resulting change in diameter?a)Young’s modulusb)Shear modulusc)Poisson’s ratiod)Both Young’s modulus and shear modulusCorrect answer is option 'D'. Can you explain this answer?
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