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The maximum slenderness ratio of a compression member carrying both dead and superimposed load is
- a)180
- b)200
- c)250
- d)350
Correct answer is option 'A'. Can you explain this answer?
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The maximum slenderness ratio of a compression member carrying both de...
Understanding Maximum Slenderness Ratio
The slenderness ratio is a critical parameter in structural engineering, particularly for compression members. It is defined as the ratio of the effective length of the member to its radius of gyration.
Definition of Slenderness Ratio
- Formula:
\[ \text{Slenderness Ratio} = \frac{L_{eff}}{r} \]
where \( L_{eff} \) is the effective length and \( r \) is the radius of gyration.
Importance of Slenderness Ratio
- A higher slenderness ratio indicates that the member is more slender and susceptible to buckling.
- The slenderness ratio affects the load-carrying capacity of the member.
Maximum Slenderness Ratio for Compression Members
- According to design codes, the maximum slenderness ratio for compression members carrying both dead and superimposed loads is 180.
Reason for Limitation
- Limiting the slenderness ratio helps ensure stability and prevent buckling.
- Compression members with a slenderness ratio greater than 180 may not have adequate strength and stability under load conditions.
Conclusion
- Therefore, for the safe design of compression members in structural applications, adhering to a maximum slenderness ratio of 180 is crucial. This ensures that the member can safely carry the imposed loads without the risk of buckling or failure, thereby ensuring structural integrity and safety.
The slenderness ratio is a critical parameter in structural engineering, particularly for compression members. It is defined as the ratio of the effective length of the member to its radius of gyration.
Definition of Slenderness Ratio
- Formula:
\[ \text{Slenderness Ratio} = \frac{L_{eff}}{r} \]
where \( L_{eff} \) is the effective length and \( r \) is the radius of gyration.
Importance of Slenderness Ratio
- A higher slenderness ratio indicates that the member is more slender and susceptible to buckling.
- The slenderness ratio affects the load-carrying capacity of the member.
Maximum Slenderness Ratio for Compression Members
- According to design codes, the maximum slenderness ratio for compression members carrying both dead and superimposed loads is 180.
Reason for Limitation
- Limiting the slenderness ratio helps ensure stability and prevent buckling.
- Compression members with a slenderness ratio greater than 180 may not have adequate strength and stability under load conditions.
Conclusion
- Therefore, for the safe design of compression members in structural applications, adhering to a maximum slenderness ratio of 180 is crucial. This ensures that the member can safely carry the imposed loads without the risk of buckling or failure, thereby ensuring structural integrity and safety.
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The maximum slenderness ratio of a compression member carrying both dead and superimposed load isa)180b)200c)250d)350Correct answer is option 'A'. Can you explain this answer?
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