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Consider the following statements:
In a thick walled cylindrical pressure vessel subjected to internal pressure, the Tangential and radial stresses are:
1. Minimum at outer side
2. Minimum at inner side
3. Maximum at inner side and both reduce to zero at outer wall
4. Maximum at inner wall but the radial stress reduces to zero at outer wall
Which of the statements given above is/are correct?
- a)1 and 2
- b)1 and 3
- c)1 and 4
- d)4 only
Correct answer is option 'C'. Can you explain this answer?
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Consider the following statements:In a thick walled cylindrical pressu...
Thick Walled Cylindrical Pressure Vessel Stresses
Introduction:
A thick-walled cylindrical pressure vessel is a type of container that is used to store or transport fluids, gases, or other materials under pressure. These vessels are designed to withstand the internal pressure and maintain their structural integrity. The stress distribution inside the vessel is important to ensure its safe operation.
Tangential and Radial Stresses:
The tangential stress is the stress that acts in a direction tangential to the cylindrical wall of the vessel. The radial stress is the stress that acts in a direction perpendicular to the cylindrical wall of the vessel. These stresses are important as they determine the strength and stability of the vessel.
Statement Analysis:
The given statements are as follows:
1. Minimum at outer side
2. Minimum at inner side
3. Maximum at inner side and both reduce to zero at outer wall
4. Maximum at inner wall but the radial stress reduces to zero at outer wall
Correct Statement:
The correct statement is option 'C', which means that the tangential and radial stresses are minimum at the outer side and maximum at the inner side, and both reduce to zero at the outer wall.
Explanation:
When a thick-walled cylindrical pressure vessel is subjected to internal pressure, the stresses are distributed across the wall thickness. The stresses are maximum at the inner surface of the vessel and decrease towards the outer surface. This is because the thickness of the vessel is greater at the inner surface than at the outer surface.
The tangential stress is maximum at the inner surface of the vessel and decreases towards the outer surface. The tangential stress is minimum at the outer surface of the vessel. This is because the tangential stress is caused by the hoop stress, which is proportional to the internal pressure and the radius of the vessel.
The radial stress is maximum at the inner surface of the vessel and decreases towards the outer surface. The radial stress is zero at the outer surface of the vessel. This is because the radial stress is caused by the internal pressure and is proportional to the thickness of the vessel.
Conclusion:
In conclusion, the correct statement is option 'C', which means that the tangential and radial stresses are minimum at the outer side and maximum at the inner side, and both reduce to zero at the outer wall. This stress distribution ensures that the thick-walled cylindrical pressure vessel can withstand the internal pressure and maintain its structural integrity.
Introduction:
A thick-walled cylindrical pressure vessel is a type of container that is used to store or transport fluids, gases, or other materials under pressure. These vessels are designed to withstand the internal pressure and maintain their structural integrity. The stress distribution inside the vessel is important to ensure its safe operation.
Tangential and Radial Stresses:
The tangential stress is the stress that acts in a direction tangential to the cylindrical wall of the vessel. The radial stress is the stress that acts in a direction perpendicular to the cylindrical wall of the vessel. These stresses are important as they determine the strength and stability of the vessel.
Statement Analysis:
The given statements are as follows:
1. Minimum at outer side
2. Minimum at inner side
3. Maximum at inner side and both reduce to zero at outer wall
4. Maximum at inner wall but the radial stress reduces to zero at outer wall
Correct Statement:
The correct statement is option 'C', which means that the tangential and radial stresses are minimum at the outer side and maximum at the inner side, and both reduce to zero at the outer wall.
Explanation:
When a thick-walled cylindrical pressure vessel is subjected to internal pressure, the stresses are distributed across the wall thickness. The stresses are maximum at the inner surface of the vessel and decrease towards the outer surface. This is because the thickness of the vessel is greater at the inner surface than at the outer surface.
The tangential stress is maximum at the inner surface of the vessel and decreases towards the outer surface. The tangential stress is minimum at the outer surface of the vessel. This is because the tangential stress is caused by the hoop stress, which is proportional to the internal pressure and the radius of the vessel.
The radial stress is maximum at the inner surface of the vessel and decreases towards the outer surface. The radial stress is zero at the outer surface of the vessel. This is because the radial stress is caused by the internal pressure and is proportional to the thickness of the vessel.
Conclusion:
In conclusion, the correct statement is option 'C', which means that the tangential and radial stresses are minimum at the outer side and maximum at the inner side, and both reduce to zero at the outer wall. This stress distribution ensures that the thick-walled cylindrical pressure vessel can withstand the internal pressure and maintain its structural integrity.
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Consider the following statements:In a thick walled cylindrical pressure vessel subjected to internal pressure, the Tangential and radial stresses are:1. Minimum at outer side2. Minimum at inner side3. Maximum at inner side and both reduce to zero at outer wall4. Maximum at inner wall but the radial stress reduces to zero at outer wallWhich of the statements given above is/are correct?a)1 and 2b)1 and 3c)1 and 4d)4 onlyCorrect answer is option 'C'. Can you explain this answer?
Question Description
Consider the following statements:In a thick walled cylindrical pressure vessel subjected to internal pressure, the Tangential and radial stresses are:1. Minimum at outer side2. Minimum at inner side3. Maximum at inner side and both reduce to zero at outer wall4. Maximum at inner wall but the radial stress reduces to zero at outer wallWhich of the statements given above is/are correct?a)1 and 2b)1 and 3c)1 and 4d)4 onlyCorrect 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 Consider the following statements:In a thick walled cylindrical pressure vessel subjected to internal pressure, the Tangential and radial stresses are:1. Minimum at outer side2. Minimum at inner side3. Maximum at inner side and both reduce to zero at outer wall4. Maximum at inner wall but the radial stress reduces to zero at outer wallWhich of the statements given above is/are correct?a)1 and 2b)1 and 3c)1 and 4d)4 onlyCorrect 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 Consider the following statements:In a thick walled cylindrical pressure vessel subjected to internal pressure, the Tangential and radial stresses are:1. Minimum at outer side2. Minimum at inner side3. Maximum at inner side and both reduce to zero at outer wall4. Maximum at inner wall but the radial stress reduces to zero at outer wallWhich of the statements given above is/are correct?a)1 and 2b)1 and 3c)1 and 4d)4 onlyCorrect answer is option 'C'. Can you explain this answer?.
Consider the following statements:In a thick walled cylindrical pressure vessel subjected to internal pressure, the Tangential and radial stresses are:1. Minimum at outer side2. Minimum at inner side3. Maximum at inner side and both reduce to zero at outer wall4. Maximum at inner wall but the radial stress reduces to zero at outer wallWhich of the statements given above is/are correct?a)1 and 2b)1 and 3c)1 and 4d)4 onlyCorrect 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 Consider the following statements:In a thick walled cylindrical pressure vessel subjected to internal pressure, the Tangential and radial stresses are:1. Minimum at outer side2. Minimum at inner side3. Maximum at inner side and both reduce to zero at outer wall4. Maximum at inner wall but the radial stress reduces to zero at outer wallWhich of the statements given above is/are correct?a)1 and 2b)1 and 3c)1 and 4d)4 onlyCorrect 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 Consider the following statements:In a thick walled cylindrical pressure vessel subjected to internal pressure, the Tangential and radial stresses are:1. Minimum at outer side2. Minimum at inner side3. Maximum at inner side and both reduce to zero at outer wall4. Maximum at inner wall but the radial stress reduces to zero at outer wallWhich of the statements given above is/are correct?a)1 and 2b)1 and 3c)1 and 4d)4 onlyCorrect answer is option 'C'. Can you explain this answer?.
Solutions for Consider the following statements:In a thick walled cylindrical pressure vessel subjected to internal pressure, the Tangential and radial stresses are:1. Minimum at outer side2. Minimum at inner side3. Maximum at inner side and both reduce to zero at outer wall4. Maximum at inner wall but the radial stress reduces to zero at outer wallWhich of the statements given above is/are correct?a)1 and 2b)1 and 3c)1 and 4d)4 onlyCorrect 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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