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Circumferential and longitudinal strains in cylindrical boiler under internal steam pressure, are ε1 and ε2 respectively. Change in volume of the boiler cylinder per unit volume will be
- a)ε1 +2 ε2
- b)ε1 ε22
- c)2ε1 + ε2
- d)ε12 ε2
Correct answer is option 'C'. Can you explain this answer?
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Circumferential and longitudinal strains in cylindrical boiler under i...
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Circumferential and longitudinal strains in cylindrical boiler under i...
Caused by the deformation of the boiler due to the internal pressure.
Circumferential strain refers to the strain or elongation that occurs in the circumferential direction of the cylindrical boiler. This strain is caused by the radial expansion of the boiler walls due to the internal steam pressure. The circumferential strain can be calculated using the formula:
ε_c = (P * r) / (E * t)
Where ε_c is the circumferential strain, P is the internal steam pressure, r is the radius of the boiler, E is the modulus of elasticity of the material, and t is the thickness of the boiler walls.
Longitudinal strain refers to the strain or elongation that occurs in the longitudinal direction of the cylindrical boiler. This strain is caused by the axial expansion or contraction of the boiler walls due to the internal steam pressure. The longitudinal strain can be calculated using the formula:
ε_l = (P * r) / (2 * E * t)
Where ε_l is the longitudinal strain, P is the internal steam pressure, r is the radius of the boiler, E is the modulus of elasticity of the material, and t is the thickness of the boiler walls.
Both circumferential and longitudinal strains are important factors to consider in the design and analysis of cylindrical boilers, as excessive strains can lead to deformation, failure, or leakage. Therefore, engineers must ensure that the materials and dimensions of the boiler are suitable to withstand the expected internal steam pressure.
Circumferential strain refers to the strain or elongation that occurs in the circumferential direction of the cylindrical boiler. This strain is caused by the radial expansion of the boiler walls due to the internal steam pressure. The circumferential strain can be calculated using the formula:
ε_c = (P * r) / (E * t)
Where ε_c is the circumferential strain, P is the internal steam pressure, r is the radius of the boiler, E is the modulus of elasticity of the material, and t is the thickness of the boiler walls.
Longitudinal strain refers to the strain or elongation that occurs in the longitudinal direction of the cylindrical boiler. This strain is caused by the axial expansion or contraction of the boiler walls due to the internal steam pressure. The longitudinal strain can be calculated using the formula:
ε_l = (P * r) / (2 * E * t)
Where ε_l is the longitudinal strain, P is the internal steam pressure, r is the radius of the boiler, E is the modulus of elasticity of the material, and t is the thickness of the boiler walls.
Both circumferential and longitudinal strains are important factors to consider in the design and analysis of cylindrical boilers, as excessive strains can lead to deformation, failure, or leakage. Therefore, engineers must ensure that the materials and dimensions of the boiler are suitable to withstand the expected internal steam pressure.
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Circumferential and longitudinal strains in cylindrical boiler under internal steam pressure, are ε1and ε2respectively. Change in volume of the boiler cylinder per unit volume will bea)ε1+2 ε2b)ε1ε22c)2ε1+ ε2d)ε12ε2Correct answer is option 'C'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Circumferential and longitudinal strains in cylindrical boiler under internal steam pressure, are ε1and ε2respectively. Change in volume of the boiler cylinder per unit volume will bea)ε1+2 ε2b)ε1ε22c)2ε1+ ε2d)ε12ε2Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Circumferential and longitudinal strains in cylindrical boiler under internal steam pressure, are ε1and ε2respectively. Change in volume of the boiler cylinder per unit volume will bea)ε1+2 ε2b)ε1ε22c)2ε1+ ε2d)ε12ε2Correct answer is option 'C'. Can you explain this answer?.
Circumferential and longitudinal strains in cylindrical boiler under internal steam pressure, are ε1and ε2respectively. Change in volume of the boiler cylinder per unit volume will bea)ε1+2 ε2b)ε1ε22c)2ε1+ ε2d)ε12ε2Correct answer is option 'C'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Circumferential and longitudinal strains in cylindrical boiler under internal steam pressure, are ε1and ε2respectively. Change in volume of the boiler cylinder per unit volume will bea)ε1+2 ε2b)ε1ε22c)2ε1+ ε2d)ε12ε2Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Circumferential and longitudinal strains in cylindrical boiler under internal steam pressure, are ε1and ε2respectively. Change in volume of the boiler cylinder per unit volume will bea)ε1+2 ε2b)ε1ε22c)2ε1+ ε2d)ε12ε2Correct answer is option 'C'. Can you explain this answer?.
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