Cost and Quantity Surveys

Cost and quantity surveying converts design information into measurable work items and money. Quantity takeoff measures net quantities from drawings (length, area, volume, number) following a standard method of measurement (e.g., SMM7, NRM, CESMM). Costing applies unit rates to get direct cost, then adds indirects, risk, and margin. Principle: Takeoff → Abstract → Bill of Quantities (BOQ). Methods: centre-line for walls, long-wall short-wall to avoid double-count, mean girth for trenches, average end area for earthwork V = L·(A1+A2)/2. Deduct openings per rules. Apply waste/overlap: Q_ordered = Q_net·(1+w%). Cost structure: Unit Rate = (Material + Labor + Plant)/productivity. Direct Cost = Σ Q_i·UR_i. Then: Site overheads + Head office overheads + Profit + Contingency + Provisional sums. Total Estimate = Direct Cost + OH&P + Risk allowance. Types: Preliminary estimate (area method $/m², 0-10% design), elemental cost plan, detailed BOQ estimate (±5%). Accuracy improves with design. Contingency covers known unknowns (design development), typically 5-15%. Provisional sum for undefined work, prime cost sum for nominated supply. Key variables: Q = quantity, UR = unit rate, W = waste %, P = productivity (output per hour), OH = overhead %, Fee %. Limitations: Rates time-sensitive (escalation), location-sensitive, assumes normal site conditions. Mis-measure of ground, reinforcement laps, formwork reuse, and curing time commonly cause cost overruns. Engineers use BOQ for tender comparison, valuation of interim payments, variation pricing, and earned value: Cost variance = BCWP - ACWP.

Governing FormulaDirect Cost = Σ (Quantity_i × Unit_Rate_i) Ordered Q = Net Q × (1 + waste%) Unit Rate = (Material_cost + Labor_hours×Rate + Plant_hours×Rate) / output Earthwork volume (avg end area): V = L × (A1 + A2)/2 Concrete: V = L×W×H - deductions Rebar weight: W = Σ length × unit_weight (kg/m) Total Estimate = Direct Cost + Site_OH + Head_OH + Profit% + Contingency% + Provisional_Sums Final Cost = Base Estimate × (1 + escalation)^t Rate build-up: UR = base + OH&P

Knowledge Check

10 Questions

1.What is the primary purpose of a quantity takeoff in a BOQ?

2.Total cost = Σ(Q × UR). If 120 m³ concrete at $110/m³ and 800 m² formwork at $35/m², what is direct cost?

3.What is the correct treatment of waste in ordering?

4.Which method avoids double-counting at wall intersections?

5.A provisional sum in a BOQ is used for:

6.Unit rate build-up for 1 m³ reinforced concrete includes:

7.What does a 10% contingency typically cover?

8.Average end area method for earthwork V = L·(A1+A2)/2 is used because:

9.Rebar quantity is measured as weight because:

10.Which directly affects final tender price escalation over 2 years at 4% annual inflation?