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If 'L' is the length of the cantilever slab measured parallel to the fixed edge, the effective width of the cantilever slab shall not exceed: (For slabs carrying the concentrated load)
- a)L/3
- b)2L/3
- c)L/2
- d)3L/3
Correct answer is option 'A'. Can you explain this answer?
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If L is the length of the cantilever slab measured parallel to the fix...
If a solid slab supported on 2 opposite edges, carries concentrated loads the maximum bending moment caused by the concentrated loads shall be assumed to be resisted by an effective width of the slab as follows:
(1) For the cantilever solid slab, the effective width shall be calculated in accordance with the following equation
beff = 1.2 a1 + a
Where, beff = effective width, a1 = distance of the concentrated load from the face of the cantilever support, and a = width of the contact area of the concentrated load measured parallel to the supporting edge
Provided that the effective width of the cantilever slab shall not exceed one-third of the length of the cantilever slab measured parallel to the fixed edge.
(1) For the cantilever solid slab, the effective width shall be calculated in accordance with the following equation
beff = 1.2 a1 + a
Where, beff = effective width, a1 = distance of the concentrated load from the face of the cantilever support, and a = width of the contact area of the concentrated load measured parallel to the supporting edge
Provided that the effective width of the cantilever slab shall not exceed one-third of the length of the cantilever slab measured parallel to the fixed edge.
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If L is the length of the cantilever slab measured parallel to the fix...
Answer:
To understand why the effective width of the cantilever slab should not exceed L/3, let's first define what the effective width is and why it is important.
Effective Width:
The effective width of a slab is the width of the slab that contributes to its strength and load-carrying capacity. It is the portion of the slab that is effective in resisting bending stresses and transferring loads to the supporting elements.
Now, let's discuss why the effective width of a cantilever slab carrying a concentrated load should not exceed L/3.
Reasoning:
1. Bending Moment Distribution:
When a concentrated load is applied to a cantilever slab, the bending moment is maximum at the fixed end (where the load is applied) and decreases as we move towards the free end. The distribution of bending moment along the length of the slab is not linear.
2. Stress Distribution:
The bending stresses in a cantilever slab are directly proportional to the bending moment and inversely proportional to the effective width. As the bending moment decreases along the length of the slab, the effective width also decreases to maintain equilibrium.
3. Maximum Stress:
The maximum bending stress occurs at the fixed end of the slab, where the bending moment is maximum. Therefore, it is crucial to limit the effective width in this region to prevent excessive stress concentrations that could lead to failure.
4. Conservative Approach:
Limiting the effective width to L/3 ensures a conservative design approach by preventing excessive stress concentrations at the fixed end. This provides a safety margin and ensures that the slab can safely carry the applied load without failure.
Therefore, the effective width of the cantilever slab should not exceed L/3 to ensure a safe and efficient design. Option A (L/3) is the correct answer.
To understand why the effective width of the cantilever slab should not exceed L/3, let's first define what the effective width is and why it is important.
Effective Width:
The effective width of a slab is the width of the slab that contributes to its strength and load-carrying capacity. It is the portion of the slab that is effective in resisting bending stresses and transferring loads to the supporting elements.
Now, let's discuss why the effective width of a cantilever slab carrying a concentrated load should not exceed L/3.
Reasoning:
1. Bending Moment Distribution:
When a concentrated load is applied to a cantilever slab, the bending moment is maximum at the fixed end (where the load is applied) and decreases as we move towards the free end. The distribution of bending moment along the length of the slab is not linear.
2. Stress Distribution:
The bending stresses in a cantilever slab are directly proportional to the bending moment and inversely proportional to the effective width. As the bending moment decreases along the length of the slab, the effective width also decreases to maintain equilibrium.
3. Maximum Stress:
The maximum bending stress occurs at the fixed end of the slab, where the bending moment is maximum. Therefore, it is crucial to limit the effective width in this region to prevent excessive stress concentrations that could lead to failure.
4. Conservative Approach:
Limiting the effective width to L/3 ensures a conservative design approach by preventing excessive stress concentrations at the fixed end. This provides a safety margin and ensures that the slab can safely carry the applied load without failure.
Therefore, the effective width of the cantilever slab should not exceed L/3 to ensure a safe and efficient design. Option A (L/3) is the correct answer.
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If L is the length of the cantilever slab measured parallel to the fixed edge, the effective width of the cantilever slab shall not exceed: (For slabs carrying the concentrated load)a)L/3b)2L/3c)L/2d)3L/3Correct answer is option 'A'. Can you explain this answer?
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