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If the hoop strain and longitudinal strain in case of a thin cylindrical shell are eh and et then volumetric strain is
- a)eh + et
- b)eh + 2et
- c)2 (eh + et)
- d)2eh + et
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
If the hoop strain and longitudinal strain in case of a thin cylindri...
Explanation:
When a thin cylindrical shell undergoes deformation, it experiences hoop strain (eh) and longitudinal strain (et). The volumetric strain is the sum of these two strains and can be calculated as follows:
Volumetric strain = eh + et
However, this formula only holds for isotropic materials. In the case of non-isotropic materials, the volumetric strain can be calculated using the following formula:
Volumetric strain = 2eh + et
This is because the material may have different properties in the hoop and longitudinal directions, resulting in different levels of deformation in each direction.
Therefore, in the given question, since we are dealing with a thin cylindrical shell which is a non-isotropic material, the correct answer is option D, which is 2eh - et.
When a thin cylindrical shell undergoes deformation, it experiences hoop strain (eh) and longitudinal strain (et). The volumetric strain is the sum of these two strains and can be calculated as follows:
Volumetric strain = eh + et
However, this formula only holds for isotropic materials. In the case of non-isotropic materials, the volumetric strain can be calculated using the following formula:
Volumetric strain = 2eh + et
This is because the material may have different properties in the hoop and longitudinal directions, resulting in different levels of deformation in each direction.
Therefore, in the given question, since we are dealing with a thin cylindrical shell which is a non-isotropic material, the correct answer is option D, which is 2eh - et.
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Solutions for If the hoop strain and longitudinal strain in case of a thin cylindrical shell are eh and et then volumetric strain isa) eh + et b) eh + 2etc) 2 (eh + et)d) 2eh + etCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mechanical Engineering.
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