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In the design of two-way slab restrained at all edges, torsional reinforcement required is :
- a)0.75 times the area of steel provided at midspan in the same direction
- b)0.375 times the area of steel provided at midspan in the same direction
- c)0.375 times the area of steel provided in the shorter span
- d)None of the above
Correct answer is option 'A'. Can you explain this answer?
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In the design of two-way slab restrained at all edges, torsional reinf...
For restrained slab, the area of reinforcement in each of the four corner layers shall be three-quarters of the area required for the maximum mid span moment in the slab simply supported on both edges meeting at that corner. If the corner contained by edges over only one of which the slab is continuous, torsion reinforcement equal to 0.75 times the area of reinforcement provided the mid-span in the same direction shall be provided. If both edges are continuous, no torsion reinforcement shall be provided.
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In the design of two-way slab restrained at all edges, torsional reinf...
Design of Two-Way Slab with Restraint at All Edges
Restraint at all edges means that the slab cannot move or rotate freely in any direction. Therefore, torsional reinforcement is required to resist the twisting moments and shear forces that may occur in the slab.
Torsional Reinforcement Requirement
The torsional reinforcement required for a two-way slab restrained at all edges is given by:
As = 0.75As' (for slabs with aspect ratio ≤ 2)
where:
As = area of torsional reinforcement required per unit width of slab (mm²/mm)
As' = area of steel provided at midspan in the same direction per unit width of slab (mm²/mm)
Aspect ratio = longer span / shorter span
Explanation of the Answer
The correct answer is option A, which states that the torsional reinforcement required is 0.75 times the area of steel provided at midspan in the same direction.
This formula is derived based on the assumption that the torsional reinforcement is placed perpendicular to the direction of the main reinforcement at midspan. It is also assumed that the slab has an aspect ratio of ≤ 2, which is a common range for two-way slabs.
The value of 0.75 is a factor that takes into account the distribution of moments and shears in the slab. It is a conservative value that ensures adequate torsional resistance in the slab.
Therefore, option A is the correct answer for the torsional reinforcement requirement in a two-way slab restrained at all edges.
Restraint at all edges means that the slab cannot move or rotate freely in any direction. Therefore, torsional reinforcement is required to resist the twisting moments and shear forces that may occur in the slab.
Torsional Reinforcement Requirement
The torsional reinforcement required for a two-way slab restrained at all edges is given by:
As = 0.75As' (for slabs with aspect ratio ≤ 2)
where:
As = area of torsional reinforcement required per unit width of slab (mm²/mm)
As' = area of steel provided at midspan in the same direction per unit width of slab (mm²/mm)
Aspect ratio = longer span / shorter span
Explanation of the Answer
The correct answer is option A, which states that the torsional reinforcement required is 0.75 times the area of steel provided at midspan in the same direction.
This formula is derived based on the assumption that the torsional reinforcement is placed perpendicular to the direction of the main reinforcement at midspan. It is also assumed that the slab has an aspect ratio of ≤ 2, which is a common range for two-way slabs.
The value of 0.75 is a factor that takes into account the distribution of moments and shears in the slab. It is a conservative value that ensures adequate torsional resistance in the slab.
Therefore, option A is the correct answer for the torsional reinforcement requirement in a two-way slab restrained at all edges.
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In the design of two-way slab restrained at all edges, torsional reinforcement required is :a)0.75 times the area of steel provided at midspan in the same directionb)0.375 times the area of steel provided at midspan in the same directionc)0.375 times the area of steel provided in the shorter spand)None of the aboveCorrect answer is option 'A'. Can you explain this answer?
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