UNIT 2: FUNDAMENTALS OF MEASUREMENT & COSTING OF BUILDING ELEMENTS
I. Fundamentals of Measurement & Units (Theoretical & IS Code Basis)
A. Principles of Measurement
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Definition: The process of determining the quantities of various items of work from drawings and specifications for cost estimation and billing.
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Core Purpose: To provide a common, unambiguous basis for pricing and payment.
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General Rules (IS 1200 series):
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Measurement "in the flesh": Quantities are measured from the actual finished work dimensions, not from the nominal sizes of materials (e.g., measure wall length from center-to-center of walls, deducting for openings).
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Order of Measurement: Length → Width/Height → Depth/Thickness.
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Grouping: Similar items of work are grouped together.
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Gross vs. Net Measurement:
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Gross Measurement: Measurement before any deductions (e.g., total wall area).
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Net Measurement: Measurement after making all permissible deductions (e.g., net plaster area after deducting door/window areas). This is the standard for billing.
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[!TIP] Exam Focus: Always state whether a quantity is "gross" or "net." The default in BOQ is net measurement after all specified deductions.
B. Standard Units of Measurement
| Measurement Type | Standard Unit (IS 1200) | Common Abbreviation | Example Items |
|---|---|---|---|
| Length | metre | m | Pipes, conduits, steel sections |
| Area | square metre | sqm | Plastering, flooring, painting |
| Volume | cubic metre | cum | Concrete, excavation, masonry |
| Mass | tonne / quintal | t / q | Reinforcement steel, bulk materials |
| Number | number | nr | Doors, windows, fittings, fixtures |
| Running Length | metre | m | Skirting, dado, cornice |
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Reference: Primary reference is IS 1200 (Parts 1 to 25) – "Method of Measurement of Building and Civil Engineering Works." Each part covers a specific trade (e.g., IS 1200 (Part 3) for Brickwork).
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Key Conversion: 1 cum = 1000 litres; 1 tonne = 1000 kg = 10 quintals.
C. Importance of Accurate Measurement
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Financial Impact: Directly controls project cost, interim payments, and final account settlement.
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Contractual Basis: Forms the Bill of Quantities (BOQ), a contractual document.
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Sources of Error:
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Misreading scales on drawings.
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Incorrect application of deduction rules.
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Omitting items or double-counting.
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Unit conversion mistakes.
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Precision: Manual take-off should be to the nearest 0.01 m (1 cm) for linear dimensions, leading to 0.0001 sqm or 0.000001 cum precision.
II. Measurement of Building Elements (Core Practical Lab Focus)
A. Earthwork & Site Preparation
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Items Measured: Excavation (topsoil, trenches, pits), filling/embankment, earth removal.
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Key Formula - Prismoidal Formula (for irregular volumes):
$$V = \frac{L}{6} \left( A_1 + 4A_m + A_2 \right)$$
Where:
* $L$ = Length/interval between cross-sections
* $$\displaystyle A_1, A_2 $$ = Areas of first and last cross-sections
* $$\displaystyle A_m $$ = Area of mid-section
- Simplified Average End Area Method (for regular sections):
$$V = \frac{L}{2} (A_1 + A_2)$$
- Lab Tip: Always measure excavation in excess of the structure's footprint (allowance for working space, slope).
B. Concrete Work
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In-situ Concrete: Measured in cum for each distinct element (isolated footing, combined footing, column, beam, slab, staircase).
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Deductions:
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Volume of reinforcement (if specified in IS 1200).
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Volume of embedded items > 0.1 sqm in cross-section (e.g., pipes, ducts).
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Openings > 0.1 sqm are not deducted from concrete volume (they are deducted from formwork).
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Pre-cast Concrete: Measured in nr or cum as specified. Includes fabrication, transport, and erection.
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Lab Exercise: For a slab, calculate net concrete volume = Gross volume - (Volume of all beams/columns below slab).
C. Masonry Work
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Units: cum for brick/block/stone masonry.
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Measurement: Length × Height × Thickness. Measured net after deductions.
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Deductions for Openings (IS 1200 (Part 3)):
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Doors, Windows, Ventilators: Area deducted once only from the wall in which they are set.
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Lintels & Sills: Not measured separately if included in masonry item. Their volume is included in the masonry deduction.
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Chases & Recesses: Deducted if exceeding 0.02 cum in volume.
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Lab Tip: For a wall with a door, Net Masonry Area = (Gross wall area) - (Area of door opening).
D. Finishing Works
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Plastering/Painting: Measured in sqm.
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Deductions: For openings > 0.5 sqm, deduct once only. For openings ≤ 0.5 sqm, no deduction.
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Additions: For reveals, jambs, soffits of openings > 0.5 sqm, add 50% of the opening area.
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Flooring: Measured in sqm.
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Deduct area of permanent fixtures (columns, pedestals) > 0.1 sqm.
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Skirting/ dado measured in running metres (rm) or sqm as specified.
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Ceiling Finishes: Measured in sqm of finished ceiling area (gross, no deductions for fixtures).
E. Joinery & Fittings
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Doors/Windows/Frames: Measured in nr.
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Specification must include size (e.g., 1.0m x 2.1m), type (panel, casement), material (wood, UPVC, aluminum), and finish.
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Fittings (Hinges, Handles, Locks): Usually measured in nr and grouped with the respective door/window item or in a separate schedule.
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Lab Exercise: Create a door schedule listing: Item No., Size, Type, Material, Finish, No. of Fittings.
F. Other Elements
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Roofing: Sheeting (sqm), Trusses (nr or kg), Tiles (sqm or nr).
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Steel Reinforcement: Measured in quintals (q) or tonnes (t). Requires a Bar Bending Schedule (BBS) detailing bar size, length, number, and total weight.
- Weight Calculation: $$\displaystyle Weight (kg) = \frac{d^2}{162} \times L $$ (where $d$ = dia in mm, $L$ = length in m).
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Plumbing & Electrical: Primarily measured in nr (for fittings) and in rm (for pipes, conduits). Complex systems may have separate MEP BOQs.
III. Methods of Estimating & Costing (Applied in Lab Context)
A. Types of Estimates
| Estimate Type | Purpose/Stage | Accuracy | Basis |
|---|---|---|---|
| Preliminary/Rough | Feasibility, budget approval | ±10-20% | Plinth Area Rate, Cubic Capacity Rate |
| Detailed/Quantity | Tender, construction control | ±5-10% | Detailed measurement from drawings & rate analysis |
| Revised Estimate | Post-design changes, variations | ±5% | Original BOQ + measured variations |
B. Cost Analysis & Rate Analysis
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Components of Unit Rate (for 1 cum of concrete 1:4:8):
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Material Cost: Cement, sand, aggregate (including wastage ~5%).
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Labor Cost: Mason, helper, mixer operator (based on productivity).
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Plant & Equipment Cost: Mixer, vibrator (depreciation, fuel).
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Overheads & Profit: Site overheads (10-15%), contractor's profit (10%).
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Formula (Approximate):
$$\text{Unit Rate} = \frac{\text{Total Direct Cost (Mat+Lab+Plant)}}{1} \times (1 + \text{Overhead}\%) \times (1 + \text{Profit}\%)$$
- Sources: Standard Schedule of Rates (SOR) from CPWD/PWD, Standard Data Books.
C. Application of Cost Indices
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Concept: To adjust a past estimate to present-day prices.
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Simple Formula:
$$\text{Present Cost} = \text{Past Cost} \times \frac{\text{Present Index}}{\text{Past Index}}$$
- Common Indices: CPWD/NSIC cost indices, wholesale price index (WPI) for construction materials.
IV. Preparation of Bills of Quantities (BOQ) & Documentation
A. Structure and Format of BOQ
| Column | Content | Key Point |
|---|---|---|
| 1. Item No. | Serial number (1, 2, 3... or 1.1, 1.2) | Continuous within each trade. |
| 2. Description | Detailed work item (per IS 1200) | Clear, unambiguous, includes specifications. |
| 3. Unit | m, sqm, cum, nr, etc. | Must be consistent throughout. |
| 4. Quantity | Measured net quantity | Calculated, rounded (usually to 2 decimals). |
| 5. Rate | Unit rate (₹/unit) | From rate analysis or SOR. |
| 6. Amount | Quantity × Rate | Extended amount (₹). |
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Grouping: Items grouped by Trades/Sections (e.g., 1.0 Earthwork, 2.0 Concrete, 3.0 Brickwork).
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Preamble: Notes explaining abbreviations, measurement rules, and inclusions/exclusions.
B. Abbreviations and Terminology
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c/s = centre to centre
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g/s = gross
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n/s = net
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excl. = excluding
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incl. = including
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@ = at the rate of
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a/c = as per contract
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Prov. = provision for
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U.C. = under cover
C. Totals, Summaries, and Grand Summary
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Trade Summary: Sum of "Amount" column for each trade section.
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Grand Summary: Sum of all Trade Summaries. This is the Total Project Cost (excluding contingencies, etc.).
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Presentation: Use neat tables, double lines for totals, clear headings.
V. Introduction to Digital Tools in QS Lab
A. Basic Take-off Software (e.g., Bluebeam, CostX)
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Core Function: Digitally measure lengths, areas, volumes, and counts from PDF/DWG drawings.
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Workflow:
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Calibrate drawing scale.
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Use measurement tools (polygon for area, linear for length, count for items).
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Organize measurements into "Sets" or "Tabs" (e.g., "Slab Concrete," "Wall Plaster").
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Export measurements (usually to CSV/Excel).
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B. Spreadsheet Application (MS Excel) for BOQ
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Template Setup:
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Columns: A: Item No., B: Description, C: Unit, D: Quantity, E: Rate, F: Amount.
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Formula in F2:
=D2*E2(drag down). -
Total Row: Use
SUM(F:F)for grand total.
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Formatting: Currency format, borders, freeze panes, clear headings.
C. Integration: Digital Workflow
[Digital Drawing (PDF/DWG)]
↓ (Take-off in Bluebeam/CostX)
[Measurement Set (CSV Export)]
↓ (Copy-Paste/Link to Excel)
[BOQ Excel Template]
↓ (Link to Rate Analysis Sheet)
[Dynamic BOQ - Auto-updates if quantities change]
[!TIP] Common Pitfall: Always verify a sample of digital measurements against manual take-off to ensure scale calibration and tool usage are correct.
VI. Laboratory Exercises & Report Writing
A. Step-by-Step Lab Procedure
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Drawing Comprehension: Study all relevant drawings (plan, section, elevation, detail).
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Systematic Take-off:
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Element-by-Element: (e.g., measure all foundations first, then all columns).
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Floor-by-Floor: For multi-storey buildings.
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Use tally sheets or pre-formatted Excel sheets to record raw measurements.
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Compilation: Transfer raw measurements to a computation sheet showing calculations (e.g., Wall Length = (Plan Length) - (Door Width)).
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Verification & Checking:
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Check 1: Sum of all net areas/volumes should be less than gross.
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Check 2: Cross-check with approximate methods (e.g., total concrete volume ≈ plinth area × average height × factor).
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Check 3: Ensure all openings are accounted for in deductions.
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B. Preparation of Lab Report/Assignment
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Standard Format:
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Title Page: Subject, Experiment/Topic, Roll No., Date.
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Objective: What was measured and why.
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Methodology: Brief description of IS code followed, tools used (manual/digital).
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Calculations: Show key computations clearly. Include sample computation sheets.
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Final BOQ: Neat, tabulated, with trade summaries and grand summary.
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Conclusion: Summary of total quantities and any observations/difficulties.
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Submission: Often requires annotated drawings (with dimensions highlighted) and tally/computation sheets as annexure.
[!TIP] Exam/Submission Checklist:
\boxed{\text{✓ All units consistent?}} \quad
\boxed{\text{✓ All deductions applied per IS 1200?}} \quad
\boxed{\text{✓ BOQ totals match computation sheets?}} \quad
\boxed{\text{✓ Report neat, signed, and referenced?}}