Average Weight Calculation of a Concrete Slab with Reinforcement
What is the average weight of a concrete slab based on the actual mass of the concrete and steel materials?
The average weight of the slab (lb/ft²) based on the actual mass of the concrete and steel materials is 27.45 lb/ft².
Calculation of Average Weight:
To determine the average weight of the concrete slab based on the actual mass of the concrete and steel materials, the following steps are taken:
Details of Calculation:
A 10-inch thick concrete slab is constructed with concrete having a density (unit weight) of 143 lb/ft³. The slab is reinforced with No. 7 bottom bars at 8 inches on center each way and No. 6 top bars at 8 inches on center each way.
The average weight of the slab (lb/ft²) based on the actual mass of the concrete and steel materials is calculated using the formula:
Mass = density × volume
Volume of the slab = area × thickness
Thickness of the slab = 10 inches = 10/12 feet
Area of the slab = length × breadth = (8 × 8)/144 = 0.4444 ft²
Mass of concrete in the slab = 143 × 0.4444 × 10/12 = 11.91 lb
The weight of No. 7 bars per foot length of slab = 0.3927 × 0.7 × 1/12 × 7.85 = 0.184 lb
Weight of No. 6 bars per foot length of slab = 0.102 lb
Total weight of the slab = 11.91 + 0.184 + 0.102 = 12.196 lb
Average weight of the slab (lb/ft²) based on the actual mass of the concrete and steel materials is:
Average weight = total weight / area
Average weight = 12.196 lb / 0.4444 ft² ≈ 27.45 lb/ft²
Hence, the average weight of the slab (lb/ft²) based on the actual mass of the concrete and steel materials is 27.45 lb/ft².