Answer :
1. the total length of rebar required for the project is153 ft
2. The number of rolls required is 5 rolls of wire mesh
3. The number of hours to complete the job is 228 hours with each crew requiring 76 hours.
Calculating the number of hours required to complete the job
Calculation for rebar:
Each 40'-0" length of 1/2" diameter rebar contains 7.93 feet.
To determine the number of 20'-0" lengths required, divide the total length required by the available length:
Total length required = 13 pcs x 40'-0" x 1.0 ft/ft = 520 ft
Available length = 20'-0" x 1.0 ft/ft = 20 ft
Number of 20'-0" lengths required = (520 ft / 20 ft) + 1 = 27 lengths (rounded up to the nearest whole number)
To account for the lap length of 24 diameters, subtract the overlap length for each joint. Since the diameter of a 1/2" rebar is 0.5 inches, the overlap length is 12 inches (24 x 0.5 inches).
Therefore, the total overlap length for 13 joints is 156 inches (13 x 12 inches).
To convert the overlap length to feet, we divide by 12
Overlap length = 156 inches / 12 inches/ft = 13 ft
Therefore, the total length of rebar required for the project is
Total length = (13 pcs x 40'-0' + 13 ft) x 1.0 ft/ft = 553 ft
Calculation for wire mesh:
The total area of the slab is:
Area = 45'-9" x 65'-5" = (45 x 12 + 9) x (65 x 12 + 5) = 2,990 [tex]ft^2[/tex]
To account for a 10% lap, we need to increase the total area by 10%:
Total area with lap = [tex]2,990 ft^2 x 1.10 = 3,289 ft^2[/tex]
The area covered by each roll of wire mesh is
Roll area = 750[tex]ft^2[/tex]
Therefore, the number of rolls required is
Number of rolls = Total area with lap / Roll area = [tex]3,289 ft^2 / 750 ft^2[/tex]/roll = 4.38 rolls ~ 5 rolls of wire mesh to nearest whole number.
Calculation for CMU
The total surface area of the CMU is
Total surface area = [tex]1200 ft^2 * 2\ sides = 2400 ft^2[/tex]
The productivity rate of the crew is 0.095 hours per square foot, so the total time required is
Total time = Total surface area x Productivity rate = [tex]2400 ft^2 * 0.095 hrs/ft^2[/tex] = 228 hours
Since there are three crew members, we can divide the total time by three to get the time required for each worker
Time per worker = 228 hours / 3 workers = 76 hours
Therefore, the crew of three will require 76 hours to complete the job.
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