Performing a rate analysis for Plain Cement Concrete (PCC) with a mix ratio of 1:4:8 (M7.5) involves calculating the quantities and costs of materials, labor, and other associated expenses for 1 cubic meter (m³) of concrete. Here's a step-by-step breakdown:

• Calculate Dry Volume
• Concrete ingredients are measured in dry volume.
• Dry Volume = Wet Volume × 1.54

• For 1 m³ of PCC:

  • Dry Volume = 1 m³ × 1.54 = 1.54 m³

• Material Quantities

• Mix Ratio: 1 (Cement): 4 (Sand): 8 (Aggregate)

• Total Parts: 1 + 4 + 8 = 13

• Cement:

  • Volume = (1/13) × 1.54 m³ = 0.118 m³
  • Density of Cement = 1,440 kg/m³
  • Weight = 0.118 m³ × 1,440 kg/m³ = 170 kg
  • Bags (50 kg each) = 170 kg / 50 kg = 3.4 bags

• Sand:

  • Volume = (4/13) × 1.54 m³ = 0.474 m³
  • 1 m³ = 35.32 cubic feet (cft)
  • Volume in cft = 0.474 m³ × 35.32 cft/m³ = 16.73 cft

• Aggregate:

  • Volume = (8/13) × 1.54 m³ = 0.948 m³
  • Volume in cft = 0.948 m³ × 35.32 cft/m³ = 33.47 cft

• Material Costs

• Cement:

  • Cost per Bag =400
  • Total Cost = 3.4 bags ×400/bag = ?1,360

• Sand:

  • Cost per cft =60
  • Total Cost = 16.73 cft ×60/cft = ?1,003.8

• Aggregate:

  • Cost per cft =60
  • Total Cost = 33.47 cft ×60/cft = ?2,008.2

• Total Material Cost:

  • ?1,360 +1,003.8 +2,008.2 = ?4,372

• Labor Costs

• For 1 m³ of PCC:

  • Labor Rate =850/m³
  • Total Labor Cost = ?850

• Additional Expenses

• Water Charges:

  • Assume 1.5% of Material Cost
  • ?4,372 × 1.5% = ?65.58

• Overhead Expenses:

  • Assume 2% of Material Cost
  • ?4,372 × 2% = ?87.44

• Equipment and Tools:

  • Assume 1.5% of Material Cost
  • ?4,372 × 1.5% = ?65.58

• Contractor Profit:

  • Assume 10% of Material Cost
  • ?4,372 × 10% = ?437.2

• Total Cost

• Material Cost:4,372
• Labor Cost:850
• Water Charges:65.58
• Overhead Expenses:87.44
• Equipment and Tools:65.58
• Contractor Profit:437.2
• Total Cost:
  • ?4,372 +850 +65.58 +87.44 +65.58 +437.2 = ?5,878.8

Therefore, the estimated cost for 1 cubic meter of PCC 1:4:8 (M7.5) is approximately ?5,879.

Note: Costs can vary based on local rates and market conditions. It's advisable to obtain current prices for accurate estimations.

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