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Compression members composed of two channels back-to-back and separated by a small distance are connected together by riveting so that the minimum slenderness ratio of each member between the connections, does not exceed
- a)40
- b)50
- c)60
- d)70
Correct answer is option 'A'. Can you explain this answer?
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Compression members composed of two channels back-to-back and separate...
Explanation:
Compression members are structural elements that are subjected to compressive forces. In order to prevent buckling, the slenderness ratio of the member needs to be limited. Slenderness ratio is defined as the ratio of the effective length of the member to its least radius of gyration.
In this question, the compression members are composed of two channels back-to-back and separated by a small distance. These members are connected together by riveting. The question asks us to find the maximum slenderness ratio of each member between the connections.
To solve this problem, we need to first calculate the effective length of the member. Effective length is the length of the member that is free to buckle. For a compression member fixed at both ends, the effective length is equal to the actual length of the member. For a compression member fixed at one end and free to move at the other end, the effective length is equal to 0.7 times the actual length of the member.
Once we have calculated the effective length of the member, we can calculate the least radius of gyration. The least radius of gyration is a measure of the member's ability to resist buckling. It is defined as the square root of the ratio of the moment of inertia of the member about its weak axis to its cross-sectional area.
Finally, we can calculate the slenderness ratio by dividing the effective length by the least radius of gyration. The maximum slenderness ratio of each member between the connections should not exceed 40. This means that the members are strong enough to resist buckling under compressive forces.
Conclusion:
Thus, the correct answer is option A, which states that the minimum slenderness ratio of each member between the connections should not exceed 40.
Compression members are structural elements that are subjected to compressive forces. In order to prevent buckling, the slenderness ratio of the member needs to be limited. Slenderness ratio is defined as the ratio of the effective length of the member to its least radius of gyration.
In this question, the compression members are composed of two channels back-to-back and separated by a small distance. These members are connected together by riveting. The question asks us to find the maximum slenderness ratio of each member between the connections.
To solve this problem, we need to first calculate the effective length of the member. Effective length is the length of the member that is free to buckle. For a compression member fixed at both ends, the effective length is equal to the actual length of the member. For a compression member fixed at one end and free to move at the other end, the effective length is equal to 0.7 times the actual length of the member.
Once we have calculated the effective length of the member, we can calculate the least radius of gyration. The least radius of gyration is a measure of the member's ability to resist buckling. It is defined as the square root of the ratio of the moment of inertia of the member about its weak axis to its cross-sectional area.
Finally, we can calculate the slenderness ratio by dividing the effective length by the least radius of gyration. The maximum slenderness ratio of each member between the connections should not exceed 40. This means that the members are strong enough to resist buckling under compressive forces.
Conclusion:
Thus, the correct answer is option A, which states that the minimum slenderness ratio of each member between the connections should not exceed 40.
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Compression members composed of two channels back-to-back and separated by a small distance are connected together by riveting so that the minimum slenderness ratio of each member between the connections, does not exceeda)40b)50c)60d)70Correct answer is option 'A'. Can you explain this answer?
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