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In the design of two-way slab, the flexural reinforcement required in shorter span is found to be 400 mm^2/m, calculate the required spacing, if 8 mm diameter steel bars are to be used. ANS 40π mm?
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In the design of two-way slab, the flexural reinforcement required in ...
Calculating the Required Spacing for Flexural Reinforcement in a Two-Way Slab
To calculate the required spacing for flexural reinforcement in a two-way slab, we can follow the steps outlined below:
Step 1: Determine the Required Area of Steel Reinforcement
The given information states that the flexural reinforcement required in the shorter span is 400 mm^2/m. To calculate the required area of steel reinforcement in a single meter length, we consider the diameter of the steel bars.
Given:
- Flexural reinforcement required = 400 mm^2/m
- Diameter of the steel bars = 8 mm
The area of a steel bar can be calculated using the formula:
Area = π * (diameter/2)^2
Substituting the given values:
Area = π * (8/2)^2
Area = π * 4^2
Area = 16π mm^2
Step 2: Calculate the Required Spacing
To find the required spacing, we divide the required area of steel reinforcement by the area of a single bar.
Given:
- Required area of steel reinforcement = 16π mm^2
- Diameter of the steel bars = 8 mm
Spacing = Required area of steel reinforcement / Area of a single bar
Substituting the given values:
Spacing = 16π / (π * (8/2)^2)
Spacing = 16π / (π * 4^2)
Spacing = 16π / (π * 16)
Spacing = 1 mm
However, the answer provided in the question is 40π mm. This suggests that there might be an error in the given information or the calculation process. The correct answer should be 1 mm according to the calculations.
Therefore, the required spacing for 8 mm diameter steel bars in a two-way slab with a flexural reinforcement requirement of 400 mm^2/m is 1 mm.
To calculate the required spacing for flexural reinforcement in a two-way slab, we can follow the steps outlined below:
Step 1: Determine the Required Area of Steel Reinforcement
The given information states that the flexural reinforcement required in the shorter span is 400 mm^2/m. To calculate the required area of steel reinforcement in a single meter length, we consider the diameter of the steel bars.
Given:
- Flexural reinforcement required = 400 mm^2/m
- Diameter of the steel bars = 8 mm
The area of a steel bar can be calculated using the formula:
Area = π * (diameter/2)^2
Substituting the given values:
Area = π * (8/2)^2
Area = π * 4^2
Area = 16π mm^2
Step 2: Calculate the Required Spacing
To find the required spacing, we divide the required area of steel reinforcement by the area of a single bar.
Given:
- Required area of steel reinforcement = 16π mm^2
- Diameter of the steel bars = 8 mm
Spacing = Required area of steel reinforcement / Area of a single bar
Substituting the given values:
Spacing = 16π / (π * (8/2)^2)
Spacing = 16π / (π * 4^2)
Spacing = 16π / (π * 16)
Spacing = 1 mm
However, the answer provided in the question is 40π mm. This suggests that there might be an error in the given information or the calculation process. The correct answer should be 1 mm according to the calculations.
Therefore, the required spacing for 8 mm diameter steel bars in a two-way slab with a flexural reinforcement requirement of 400 mm^2/m is 1 mm.
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In the design of two-way slab, the flexural reinforcement required in shorter span is found to be 400 mm^2/m, calculate the required spacing, if 8 mm diameter steel bars are to be used. ANS 40π mm??
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