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Cheatsheet: Cost Estimation

1. Types of Cost Estimates

1.1 Classification by Accuracy Level

Estimate Type Description & Accuracy
Order of Magnitude (Conceptual) -50% to +100% accuracy; based on similar past projects; minimal design information (0-2% complete)
Preliminary (Schematic) -30% to +50% accuracy; based on schematic design; 5-15% design complete; square foot or parametric methods
Detailed (Design Development) -15% to +20% accuracy; 30-60% design complete; detailed quantity takeoffs begin
Engineer's Estimate (Construction Documents) -5% to +15% accuracy; 90-100% design complete; full quantity takeoffs and unit pricing
Bid Estimate ±5% accuracy; contractor's estimate for bidding; includes markup and contingencies

1.2 AACE International Classification System

Class Expected Accuracy Range & Design Level
Class 5 -20% to -50% low, +30% to +100% high; 0-2% design complete
Class 4 -15% to -30% low, +20% to +50% high; 1-15% design complete
Class 3 -10% to -20% low, +10% to +30% high; 10-40% design complete
Class 2 -5% to -15% low, +5% to +20% high; 30-75% design complete
Class 1 -3% to -10% low, +3% to +15% high; 50-100% design complete

2. Cost Estimating Methods

2.1 Unit Cost Method

  • Total Cost = Quantity × Unit Price
  • Requires accurate quantity takeoffs from plans and specifications
  • Most accurate method for detailed estimates
  • Unit prices from historical data, RS Means, vendor quotes, or market rates

2.2 Square Foot Method

  • Total Cost = Building Area (SF) × Cost per SF
  • Used for preliminary estimates of buildings and structures
  • Adjust base cost per SF for location, quality, and specific features
  • Area measured using gross floor area or specific measurement standards

2.3 Parametric Estimating

  • Uses statistical relationships between historical data and project variables
  • Cost = a × (Parameter)^b, where a and b are derived from regression analysis
  • Parameters: capacity, length, area, volume, or functional units
  • Examples: $/lane-mile for roadways, $/MGD for treatment plants, $/kW for power facilities

2.4 Assemblies (Systems) Estimating

  • Groups individual work items into functional systems or assemblies
  • Estimate cost of complete system rather than individual components
  • Example: exterior wall assembly includes framing, sheathing, insulation, finish
  • Faster than unit cost method but less detailed

2.5 Cost Index Methods

Formula Application
Cost_Present = Cost_Past × (Index_Present / Index_Past) Escalates historical costs to current dollars using published indices
Location Factor = Cost_Location B / Cost_Base Location Adjusts costs for geographic location differences
  • Common indices: ENR CCI (Engineering News Record Construction Cost Index), RSMeans City Cost Index
  • ENR CCI base year: 1913 = 100 or periodically rebased

2.6 Capacity Factored (Exponential) Method

Formula Component Definition
Cost_B = Cost_A × (Capacity_B / Capacity_A)^x Estimates cost based on capacity ratio raised to scaling exponent
x (scaling exponent) Ranges from 0.6 to 0.9; "Six-Tenths Rule" uses x = 0.6 as default
  • Applies to process facilities, treatment plants, industrial equipment
  • Accounts for economies of scale

3. Cost Components

3.1 Direct Costs

Component Description
Labor Wages, benefits, payroll taxes for workers directly on project tasks
Materials Permanent materials incorporated into work; includes delivery and sales tax
Equipment Construction equipment costs (rental, ownership, fuel, operators)
Subcontractors Costs for specialty trade contractors performing specific scopes

3.2 Indirect Costs

3.2.1 Project Overhead (General Conditions)

  • Job-specific costs not attributable to individual work items
  • Temporary facilities, site office, utilities, cleanup, project management, superintendents
  • Safety, quality control, security, temporary fencing, sanitation
  • Project-specific insurance, bonds (payment and performance bonds)

3.2.2 Home Office Overhead (General & Administrative)

  • Company operating expenses: office rent, utilities, administrative salaries
  • Marketing, estimating, accounting, legal, corporate management
  • Expressed as percentage of direct costs (5-15% range)

3.3 Profit and Markup

  • Profit: contractor's compensation for risk and business return (5-15% range)
  • Total Markup = (Overhead % + Profit %) applied to base cost
  • Bid Price = Direct Cost + Indirect Cost + Overhead + Profit

3.4 Contingency

Type Purpose & Amount
Design Contingency Covers unknowns in incomplete design; 5-25% based on design completion level; decreases as design progresses
Bid Contingency Covers anticipated but undefined costs; 3-10%; included in contractor bid
Escalation Contingency Covers price increases during design and construction; based on inflation forecast
Owner Contingency Reserve for scope changes, unforeseen conditions; 5-15%; held by owner, not in bid

4. Quantity Takeoff

4.1 Measurement Standards

Item Typical Unit of Measure
Excavation/Earthwork Cubic yards (CY) or bank cubic yards (BCY)
Concrete Cubic yards (CY)
Reinforcing Steel Pounds (lb) or tons
Structural Steel Pounds (lb) or tons
Formwork Square feet contact area (SFCA)
Pipe Linear feet (LF)
Paving Square yards (SY) or tons
Paint/Coatings Square feet (SF)
Fence Linear feet (LF)

4.2 Earthwork Volume Calculations

Method Formula
Average End Area V = (A₁ + A₂)/2 × L, where A₁, A₂ are end areas, L is length
Prismoidal Formula V = L/6 × (A₁ + 4A_m + A₂), where A_m is middle area
Grid Method V = Σ(elevation change × grid area), sum for all grid points
Borrow Pit Method V = (grid spacing²/4) × Σ(h₁ + h₂ + h₃ + h₄) for each cell

4.3 Volume Conversion Factors

Term Definition
Bank Cubic Yards (BCY) In-place volume before excavation (natural state)
Loose Cubic Yards (LCY) Volume after excavation and loosening; LCY = BCY × swell factor
Compacted Cubic Yards (CCY) Volume after compaction; CCY = BCY × shrinkage factor
Load Factor (Swell) LCY/BCY ratio; ranges 1.10-1.40 depending on soil type
Shrinkage Factor CCY/BCY ratio; ranges 0.85-0.95 depending on soil and compaction

4.4 Waste Factors

  • Account for material losses, cutting waste, breakage, overlap
  • Concrete: 2-5% waste; Reinforcing steel: 5-10%; Lumber: 10-15%
  • Adjusted Quantity = Theoretical Quantity × (1 + Waste %)

5. Labor Productivity and Crew Analysis

5.1 Productivity Metrics

Term Formula/Definition
Production Rate Units of work per time period (units/hour, units/day)
Labor Hours per Unit Worker-hours required per unit of work (inverse of production rate)
Crew Production Rate Combined output of entire crew per time period
Duration Time = Total Quantity / (Crew Size × Individual Production Rate)

5.2 Learning Curve Effect

Component Description
Learning Curve Theory Labor productivity improves with repetition; time per unit decreases
T_n = T₁ × n^b T_n is time for nth unit, T₁ is time for first unit, n is unit number, b = log(learning rate)/log(2)
80% Learning Curve Each doubling of quantity reduces time per unit to 80% of previous; common in construction

5.3 Labor Cost Calculation

  • Base Labor Cost = Hours × Base Wage Rate
  • Burdened Labor Rate = Base Wage + Taxes + Insurance + Benefits
  • Payroll taxes: FICA (7.65%), Federal/State unemployment insurance
  • Workers compensation insurance: 5-30% depending on trade classification
  • Fringe benefits: health insurance, retirement, vacation (20-40% of base wage)
  • Total Burdened Rate = 1.30 to 1.60 × Base Wage (varies by location and trade)

6. Equipment Costs

6.1 Ownership Costs (Fixed)

Component Calculation Method
Depreciation (Purchase Price - Salvage Value) / Useful Life in hours or years
Investment Cost (Purchase Price + Salvage Value)/2 × Interest Rate; represents capital tied up
Insurance Annual premium / operating hours per year
Taxes Annual property tax / operating hours per year
Storage Storage/yard costs when not in use / operating hours per year

6.2 Operating Costs (Variable)

Component Calculation Method
Fuel Consumption rate (gal/hr) × Fuel price × Operating time
Lubrication 15-30% of fuel cost
Repairs & Maintenance 50-100% of depreciation depending on equipment type and age
Tires (wheeled equipment) Tire cost / tire life in hours × operating time
Operator Labor Burdened labor rate × operating hours

6.3 Equipment Hourly Rate

  • Hourly Ownership Cost = (Depreciation + Investment + Insurance + Tax + Storage) / hours per year
  • Hourly Operating Cost = Fuel + Lube + Repairs + Tires + Operator
  • Total Hourly Equipment Cost = Ownership Cost/hr + Operating Cost/hr
  • Mobilization/demobilization added separately as lump sum

6.4 Rental vs. Ownership Decision

  • Rent if needed for short duration or specialized equipment
  • Own if high utilization rate (>60-70% of available hours annually)
  • Breakeven hours = Ownership cost / (Rental rate - Operating cost)

7. Pricing Adjustments and Factors

7.1 Location Cost Index Adjustment

  • Adjusted Cost = Base Cost × (Location Index / Base Location Index)
  • Accounts for regional differences in labor rates, material costs, productivity
  • RS Means City Cost Index provides multipliers for 700+ US/Canadian cities
  • Separate indices for labor, materials, and equipment components

7.2 Time Adjustment (Escalation)

  • Cost_Future = Cost_Present × (1 + Inflation Rate)^years
  • Or use published index: Cost_Future = Cost_Base × (Index_Future / Index_Base)
  • ENR CCI, BLS Producer Price Index for construction materials
  • Escalation clause in contract protects against price volatility

7.3 Project Size Adjustment

  • Unit costs decrease for larger projects due to economies of scale
  • Smaller projects have proportionally higher mobilization and overhead
  • Adjustment factors published in cost reference books

7.4 Seasonal Factors

  • Winter construction: increased heating, snow removal, protective enclosures (5-20% premium)
  • Reduced productivity in extreme temperatures
  • Site access limitations during wet seasons

8. Bid Analysis and Award

8.1 Engineer's Estimate vs. Bid Comparison

  • Compare low bid to engineer's estimate to verify reasonableness
  • Red flags: bid >25% above or <15% below="">
  • Investigate significant discrepancies before award
  • Unbalanced bid: disproportionate unit prices suggesting front-loading or manipulation

8.2 Bid Evaluation Criteria

Factor Consideration
Responsiveness Bid submitted on time, complete, meets all requirements
Responsibility Contractor qualified, adequate resources, acceptable past performance
Price Total bid price and unit prices evaluated for reasonableness
Alternates Evaluate base bid plus approved alternates
Life Cycle Cost Consider operating and maintenance costs for equipment/systems

8.3 Unit Price Contracts

  • Payment based on actual quantities installed × unit prices
  • Engineer provides estimated quantities; actual field quantities govern payment
  • Variation clause: if actual quantity differs from estimate by >25%, unit price may be renegotiated
  • Partial payment = Σ(Quantity completed × Unit price) for each pay period

8.4 Retainage

  • Percentage withheld from progress payments (5-10% standard)
  • Ensures contractor completes punchlist and warranty items
  • Released at substantial completion or final completion per contract
  • Some jurisdictions reduce retainage when project 50% complete

9. Life Cycle Cost Analysis (LCCA)

9.1 Components of Life Cycle Cost

Cost Category Description
Initial Cost (Capital) Design, construction, equipment purchase, installation
Operating Costs Energy, utilities, consumables, routine operations, staffing
Maintenance & Repair Preventive maintenance, repairs, component replacement
Replacement Costs Major equipment or system replacement before end of analysis period
Residual/Salvage Value Remaining value at end of analysis period (subtracted as benefit)
Disposal Costs Decommissioning, demolition, environmental remediation

9.2 Present Worth Analysis

Formula Application
PW = FV / (1 + i)^n Present worth of single future amount; i = discount rate, n = years
PW = A × [(1+i)^n - 1] / [i(1+i)^n] Present worth of uniform annual series A
PW = A/i × [1 - 1/(1+i)^n] Alternative form for uniform series present worth
LCC = Initial Cost + PW(Operating) + PW(Maintenance) + PW(Replacement) - PW(Salvage) Total life cycle cost in present dollars

9.3 Equivalent Uniform Annual Cost (EUAC)

  • EUAC = PW × [i(1+i)^n] / [(1+i)^n - 1]
  • Converts total present worth to equivalent annual payment
  • Useful for comparing alternatives with different lifespans
  • Capital Recovery Factor: CRF = [i(1+i)^n] / [(1+i)^n - 1]

9.4 Discount Rate Selection

  • Real discount rate: excludes inflation (2-4% for public projects)
  • Nominal discount rate: includes inflation effect
  • Nominal rate = [(1 + real rate)(1 + inflation rate)] - 1
  • OMB Circular A-94: federal guidance recommends 7% real rate for public investments

9.5 Analysis Period

  • Must be consistent for all alternatives being compared
  • Use shortest common multiple of service lives, or
  • Use equal study period with salvage value adjustments
  • Buildings: 25-50 years; Equipment: 10-20 years; Pavement: 20-40 years

10. Value Engineering

10.1 Definition and Purpose

  • Systematic method to improve project value by analyzing function vs. cost
  • Value = Function / Cost (maximize function, minimize cost)
  • Goal: maintain or improve performance while reducing cost, or improve performance at same cost
  • Focus on unnecessary costs that do not contribute to function or quality

10.2 Value Engineering Job Plan Phases

Phase Activities
1. Information Gather project data, drawings, specs, costs; identify high-cost items
2. Function Analysis Define functions (verb-noun), classify as basic or secondary, determine worth
3. Creative Brainstorm alternative solutions without criticism; generate many ideas
4. Evaluation Screen ideas, analyze feasibility, rank by potential value improvement
5. Development Develop best alternatives in detail; estimate costs and benefits
6. Presentation Present recommendations to decision-makers with cost-benefit analysis
7. Implementation Incorporate approved changes into project; track savings

10.3 Function Analysis

  • Basic Function: primary purpose the item must perform (reason for existence)
  • Secondary Function: supports basic function or results from design approach
  • Function described as two words: active verb + measurable noun
  • Example: bridge basic function = "Support Load"; secondary = "Span Distance"
  • Worth: lowest cost to accomplish basic function reliably

10.4 Best Timing for Value Engineering

  • Greatest savings potential: 30-60% design completion (schematic/design development)
  • Cost to make changes low, freedom to change design high
  • After 90% design: high cost to implement changes, limited alternatives

11. Cost Control and Monitoring

11.1 Cost Baseline and Budget

  • Cost Baseline: approved time-phased budget for measuring performance
  • Budget at Completion (BAC): total authorized budget for project
  • Management Reserve: budget held for unforeseen work within scope (not in baseline)
  • Contingency Reserve: budget for identified risks (included in baseline)

11.2 Earned Value Management (EVM) Metrics

Metric Definition/Formula
Planned Value (PV) Authorized budget assigned to scheduled work (budgeted cost of work scheduled)
Earned Value (EV) Budgeted amount for work actually completed (budgeted cost of work performed)
Actual Cost (AC) Realized cost incurred for work performed (actual cost of work performed)
Cost Variance (CV) CV = EV - AC; negative = over budget, positive = under budget
Schedule Variance (SV) SV = EV - PV; negative = behind schedule, positive = ahead of schedule
Cost Performance Index (CPI) CPI = EV / AC; <1 =="" over="" budget,="">1 = under budget
Schedule Performance Index (SPI) SPI = EV / PV; <1 =="" behind="" schedule,="">1 = ahead of schedule

11.3 Forecasting Formulas

Metric Formula & Assumption
Estimate at Completion (EAC) EAC = BAC / CPI (assumes future performance same as past)
EAC (atypical variance) EAC = AC + (BAC - EV) (assumes future work at planned rate)
EAC (both factors) EAC = AC + [(BAC - EV) / (CPI × SPI)] (considers cost and schedule performance)
Estimate to Complete (ETC) ETC = EAC - AC (remaining cost to finish)
Variance at Completion (VAC) VAC = BAC - EAC (expected over/under budget at completion)
To-Complete Performance Index TCPI = (BAC - EV) / (BAC - AC) (efficiency needed to meet budget)

11.4 Change Order Management

  • Change Order: written modification to contract scope, cost, or time
  • Track cumulative change order costs vs. contingency budget
  • Change Order Log: number, description, cost impact, schedule impact, approval status
  • Construction Change Directive: owner-issued direction to proceed before price agreement

12. Cost Indices and References

12.1 Common Construction Cost Indices

Index Description & Use
ENR CCI (Construction Cost Index) Tracks skilled labor, structural steel, cement, lumber; 20-city average; published weekly by Engineering News-Record
ENR BCI (Building Cost Index) Tracks skilled labor and materials for building construction; uses different weighting than CCI
RS Means Cost Index Annual escalation index for construction costs; location-specific multipliers
BLS PPI (Producer Price Index) Bureau of Labor Statistics price indices for construction materials and commodities
Marshall & Swift Index Used for valuation of industrial equipment and facilities

12.2 Cost Estimating References

  • RS Means Building Construction Cost Data: unit costs for building construction
  • RS Means Heavy Construction Cost Data: site work, utilities, infrastructure
  • HCSS Heavy Bid: estimating software with cost databases
  • Richardson Engineering Services: process plant construction cost data
  • State DOT bid tabulations: historical unit prices for highway work

12.3 Index Application Example

  • Given: 2015 project cost $2,500,000; ENR CCI 2015 = 9840; ENR CCI 2023 = 12,850
  • 2023 Cost = $2,500,000 × (12,850 / 9840) = $3,265,650
The document Cheatsheet: Cost Estimation is a part of the PE Exam Course Civil Engineering (PE Civil).
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