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The clear distance from the free end of the cantilever to the lateral restraint shall not exceed
- a)25 b or 100 b2/d
- b)60 b or 250 b2/d
- c)25 b or 250 b2/d
- d)60 b or 100 b2/d
Correct answer is option 'A'. Can you explain this answer?
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The clear distance from the free end of the cantilever to the lateral ...
As per IS 456:2000, slenderness limit for lateral stability of beam shall be:
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The clear distance from the free end of the cantilever to the lateral ...
**Explanation:**
In cantilever structures, lateral restraints are used to provide stability and prevent excessive deflection or failure. The clear distance from the free end of the cantilever to the lateral restraint is an important factor in determining the overall stability of the structure.
The equation given to determine the clear distance is:
Clear distance = 25b or 100b^2/d
where b is the width of the cantilever and d is the depth of the cantilever.
Let's analyze the given options:
a) 25b or 100b^2/d
b) 60b or 250b^2/d
c) 25b or 250b^2/d
d) 60b or 100b^2/d
Option A states that the clear distance should not exceed 25b or 100b^2/d. This means that the clear distance can be either 25 times the width of the cantilever (b) or 100 times the square of the width of the cantilever (b^2) divided by the depth of the cantilever (d).
This option provides a conservative limit for the clear distance, ensuring that the cantilever is adequately restrained to prevent excessive deflection. The clear distance should not exceed either of the two values, providing a range within which the cantilever should be restrained.
Options B, C, and D provide larger values for the clear distance, which may result in less restraint and reduce the stability of the cantilever structure.
Therefore, option A is the correct answer as it provides a conservative limit for the clear distance from the free end of the cantilever to the lateral restraint.
In cantilever structures, lateral restraints are used to provide stability and prevent excessive deflection or failure. The clear distance from the free end of the cantilever to the lateral restraint is an important factor in determining the overall stability of the structure.
The equation given to determine the clear distance is:
Clear distance = 25b or 100b^2/d
where b is the width of the cantilever and d is the depth of the cantilever.
Let's analyze the given options:
a) 25b or 100b^2/d
b) 60b or 250b^2/d
c) 25b or 250b^2/d
d) 60b or 100b^2/d
Option A states that the clear distance should not exceed 25b or 100b^2/d. This means that the clear distance can be either 25 times the width of the cantilever (b) or 100 times the square of the width of the cantilever (b^2) divided by the depth of the cantilever (d).
This option provides a conservative limit for the clear distance, ensuring that the cantilever is adequately restrained to prevent excessive deflection. The clear distance should not exceed either of the two values, providing a range within which the cantilever should be restrained.
Options B, C, and D provide larger values for the clear distance, which may result in less restraint and reduce the stability of the cantilever structure.
Therefore, option A is the correct answer as it provides a conservative limit for the clear distance from the free end of the cantilever to the lateral restraint.
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