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Sandra Lee

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Willis’s Elements of Quantity Surveying has become a standard text in the teaching of building measurement – a core part of the degree curriculum for quantity surveyors. The book will be fully updated to follow the guidance given by RICS NRM 1 & 2. As in previous editions the focus remains a logical approach the detailed measurement of building elements and copious use of examples to guide the student. The text has been fully revised in line with the NRM guidance and includes many new and revised examples illustrating the use of NRM. The hallmarks of previous editions – clarity and practicality – are maintained, while ensuring the book is fully up to date, providing the student of quantity surveying with a first class introduction to the measurement of building elements.

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Table of Contents

Cover

Preface

Acknowledgements

Abbreviations

About the Companion Website

Chapter 1: Introduction

The modern quantity surveyor

The need for measurement

The need for rules

Establishing the approach

Method of study

Examples

Chapter 2: Detailed Measurement

Method of analysing cost

Origin of the bill of quantities

The measurement process

Attributes of a quantity surveyor

Divisions of bill preparation

Quantities as part of the contract

Contractor‐produced quantities and estimates

Differences of custom

Chapter 3: The Use of the RICS

New Rules of Measurement

(NRM)

Background

The NRM volumes

Volume 1 – order of cost estimating and cost planning for capital building works

The potential benefits of using NRM1

Introduction to NRM2

Chapter 4: Setting Down Dimensions

Traditional dimension paper

Form of dimensions

Timesing

Dotting on

Waste calculations

Alterations in dimensions

The descriptions

Anding‐on

Deductions

Spacing of dimensions

Accuracy

Numbering the dimension sheets

Cross‐references

Clearness of the dimensions

Headings

Insertion of items

Squaring the dimensions

Scheduling dimensions

Chapter 5: Alternative Systems

Standardisation

Standard libraries

Computerised bill production

E‐tendering

Site dimension books

Estimating paper

Chapter 6: Preliminary Calculations

Mathematical knowledge

Perimeter of buildings

Centre line of the wall

Chapter 7: General Principles for Taking‐Off

Receipt of the drawings

Preliminary study of drawings

Queries with the designers

Initial site visit

Where to start

Organising the work

Sections of taking‐off

Taking‐off by work sections

Drawings

The specification

Materials

Sequence of measurement

Measurement of waste

Overall measurements

Use of schedules

Use of scales

Use of NRM2

Decision on doubtful points

Descriptions

Abbreviations

Extra over

Dimensioned diagrams

Prime cost items and provisional sums

Approximate quantities

Summary

Chapter 8: Substructures

Particulars of the site

Bulking

Removing topsoil

Bulk excavation

Excavation for paths

Levels

Foundation excavation

Earthwork support

Disposal of excavated material

Working space

Concrete foundations

Concrete ground slab

Brickwork and blockwork in foundations

Damp‐proof courses

Approach taken to measurement in Example 1

Chapter 9: Walls

Measurement of brickwork

Subdivision

Measurement of projections

Descriptions

Brickwork thickness

Common and facing brickwork

Cutting, grooves, and the like

Returns and reveals

Hollow (cavity) walls

Ornamental bands

Special purpose blocks or stones

Reinforcement

Measurement of arches

Blockwork

Rendering

Stonework

Internal partitions

Chapter 10: Floors

Timber sizes

Subdivision

Timber floor construction

Staircases

Concrete floors

Precast concrete beam and pot floors

Chapter 11: Roofs

Subdivision

Pitched roof construction

Roof slopes

Hips and valleys

Broken‐up roofs

Trussed rafters

Tile or slate roof coverings

Eaves and verge finish

Rainwater installation

Flat roofs

Chapter 12: Internal Finishes

Schedules

Subdivision

Generally

Floor finishes

Ceiling finishes

Wall finishes

Angle beads and so on

Decoration

Cornices and coves

Skirtings

Wall tiling

Internal partitions

Dry wall linings

Chapter 13: Windows and Doors

Subdivision

Schedules

Timesing

Special features

Dormer windows

Adjustments

Windows and doors

Glass

Ironmongery

Decoration

Openings

Chapter 14: Reinforced Concrete Structures

Generally

Columns

Structural floors and roofs

Beams

Walls

Reinforcement

Approach to measurement

Chapter 15: Structural Steelwork

Fittings

Chapter 16: Plumbing

Subdivision

Sanitary appliances

Foul drainage above ground

Cold water

Hot water

Chapter 17: Drainage

Subdivision

Manholes

Drain runs

Chapter 18: External Works

Particulars of the site

Coverage

Site preparation

Excavation

Roads and paving

Walling

Fencing

Sundry furniture

External services

Chapter 19: Preliminaries and Other Priced Bill Sections

Generally

Preliminaries and general conditions section

Part A

Part B

Chapter 20: Bill Preparation

Abstracting

Procedure

Division into sections

Structure of bills

General principles

Order of items in the bill

Format of the bill

Referencing items

Units of measurement

Order of sizes

Use of headings

Writing short

Unit of billing

Framing of descriptions

Totalling pages

Summary

The process of checking

Numbering pages and items

General final check

Cover and contents

Other bill types

Bill of approximate quantities

Schedule of prices or rates

Appendix: Mathematical Formulae and Applied Mensuration

Formulae for areas (A) of plane figures

Regular polygons

Irregular figures

Formulae for surface areas (SA) and volume (V) of solids

Irregular areas

Measurement of arches

Excavation to banks

Excavation to sloping sites

Grids of levels

Example of weighted average excavation

Interpolation of levels

Index

End User License Agreement

List of Tables

Chapter 3

Table 1 RIBA work stages (excluding Stage 0)

Table 2 Structure of the order of cost estimate

Table 3 Structure of Formal Cost Plan 1

Table 4 Extract from Section 3 of NRM2

List of Illustrations

Chapter 4

Fig. 1

Fig. 2

Chapter 5

Fig. 3

Chapter 6

Fig. 4

Fig. 5

Fig. 6

Fig. 7

Fig. 8

Chapter 7

Fig. 9

Chapter 8

Fig. 10

Fig. 11

Fig. 12

Fig. 13

Fig. 14

Fig. 15

Chapter 9

Fig. 16

Fig. 17

Fig. 18

Fig. 19

Chapter 10

Fig. 20

Fig. 21

Fig. 22

Chapter 11

Fig. 23

Fig. 24

Fig. 25

Fig. 26

Fig. 27

Fig. 28

Fig. 29

Fig. 30

Fig. 31

Chapter 12

Fig. 32

Fig. 33

Chapter 13

Fig. 34

Fig. 35

Chapter 14

Fig. 36

Chapter 15

Fig. 37

Chapter 16

Fig. 38

Chapter 17

Fig. 39

Fig. 40

Fig. 41

Chapter 18

Fig. 42

Chapter 20

Fig. 43 Taking‐off.

Fig. 44 Abstract.

Fig. 45

Appendix

Fig. A.1

Fig. A.2

Fig. A.3

Fig. A.4

Fig. A.5

Fig. A.6

Fig. A.7

Fig. A.8

Guide

Cover

Table of Contents

Begin Reading

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Willis's Elements of Quantity Surveying

 

Thirteenth Edition

 

Sandra Lee

MSc, FRICS, MCIOB

 

 

 

 

This edition first published 2020© 2020 John Wiley & Sons Ltd

Edition History(1998 9e Blackwell Science), (2005 10e Blackwell Publishing Ltd), (2011 11e John Wiley & Sons Ltd), (2014 12e John Wiley & Sons Ltd)

All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording or otherwise, except as permitted by law. Advice on how to obtain permission to reuse material from this title is available at http://www.wiley.com/go/permissions.

The right of Sandra Lee to be identified as the author of this work has been asserted in accordance with law.

Registered OfficesJohn Wiley & Sons, Inc., 111 River Street, Hoboken, NJ 07030, USAJohn Wiley & Sons Ltd, The Atrium, Southern Gate, Chichester, West Sussex, PO19 8SQ, UK

Editorial Office9600 Garsington Road, Oxford, OX4 2DQ, UK

For details of our global editorial offices, customer services, and more information about Wiley products visit us at www.wiley.com.

Wiley also publishes its books in a variety of electronic formats and by print‐on‐demand. Some content that appears in standard print versions of this book may not be available in other formats.

Limit of Liability/Disclaimer of WarrantyIn view of ongoing research, equipment modifications, changes in governmental regulations, and the constant flow of information relating to the use of experimental reagents, equipment, and devices, the reader is urged to review and evaluate the information provided in the package insert or instructions for each chemical, piece of equipment, reagent, or device for, among other things, any changes in the instructions or indication of usage and for added warnings and precautions. While the publisher and author have used their best efforts in preparing this work, they make no representations or warranties with respect to the accuracy or completeness of the contents of this work and specifically disclaim all warranties, including without limitation any implied warranties of merchantability or fitness for a particular purpose. No warranty may be created or extended by sales representatives, written sales materials or promotional statements for this work. The fact that an organization, website, or product is referred to in this work as a citation and/or potential source of further information does not mean that the publisher and author endorse the information or services the organization, website, or product may provide or recommendations it may make. This work is sold with the understanding that the publisher is not engaged in rendering professional services. The advice and strategies contained herein may not be suitable for your situation. You should consult with a specialist where appropriate. Further, readers should be aware that websites listed in this work may have changed or disappeared between when this work was written and when it is read. Neither the publisher nor author shall be liable for any loss of profit or any other commercial damages, including but not limited to special, incidental, consequential, or other damages.

Library of Congress Cataloging‐in‐Publication Data

Names: Lee, Sandra, 1953‐ author.

Title: Willis's elements of quantity surveying / Sandra Lee.

Description: Thirteenth edition. | Hoboken, NJ : John Wiley & Sons, Inc., 2020. | Includes index.

Identifiers: LCCN 2020008847 (print) | LCCN 2020008848 (ebook) | ISBN 9781119633181 (paperback) | ISBN 9781119633204 (adobe pdf) | ISBN 9781119633198 (epub)

Subjects: LCSH: Building--Estimates. | Quantity surveying.

Classification: LCC TH435 .W685 2020 (print) | LCC TH435 (ebook) | DDC 692/.5--dc23

LC record available at https://lccn.loc.gov/2020008847

LC ebook record available at https://lccn.loc.gov/2020008848

Cover Design: Wiley

Cover Image: © teekid/Getty Images

Preface

This book was first published in 1935, and in the preface to that first edition it stated that it was intended ‘to be a book giving everything in its simplest form and to assist a student to a good grounding in first principles’. Each successive edition has been brought up to date; however, we have always striven to maintain the original guiding principles, which are as relevant today as they were over 80 years ago.

The text is intended to be studied as part of a measurement module or course with the support of a tutor and other appropriate study materials. A basic skill of being able to read drawings and knowledge of the construction of the works being measured is also required prior to starting to work through the examples in this text.

Whilst the use of the traditional bill of quantities continues to decline and today is only one of a variety of options open to the industry for the procurement of construction contracts, nevertheless, the skills of measurement are still very much required in some form or another under most procurement routes.

This edition utilizes the measurement rules to be found in the publication by the Royal Institution of Chartered Surveyors (RICS) of the second volume of the New Rules of Measurement – Detailed Measurement for Building Works (NRM2).

The basic structure of the book generally follows that of previous editions, setting down the measurement process from first principles and assuming the reader is coming fresh to the subject.

Whilst it is recognised that modern computerised measurement techniques utilising standard descriptions might appear far removed from traditional taking‐off, it is only by fully grasping such basic principles of measurement that they can be adapted and applied to alternative systems. It is for this reason that the examples continue to be written in traditional form.

The book opens with an overview of the need for measurement and the differing rules governing measurement at different stages of the design or project cycle. The main focus of the book remains on the detailed measurement of elements of a building using the rules from NRM2 and concludes with guidance on how to use the data collected during the measurement process to create the tender documents.

Whilst the role of the quantity surveyor is subject to continual change, we hope that students will find this book as useful as their predecessors have.

Sandra Lee

Acknowledgements

The continued publication of this text would not be possible without the considerable input of the previous authors William Trench and Andrew Willis over the last 30 years.

The efforts of Ruth Pearson, are gratefully acknowledged for the preparation of the drawings.

Abbreviations

a.b.

as before

a.b.d.

as before described

agg.

aggregate

BCIS

Building Cost Information Service

BS

British Standard

CAWS

Common Arrangement of Work Sections

c/c

centres

ddt

deduct

dia.

diameter

d.p.c.

damp‐proof course

d.p.m.

damp‐proof membrane

EDI

electronic data interchange

e.w.s.

earth work support

ex

out of

hw.

hardwood

JCT

Joint Contracts Tribunal

n.t.s.

not to scale

PC

prime cost

MC

Measurement Code

n.e.

not exceeding

NRM

New Rules of Measurement

r.c.

reinforced concrete

RIBA

Royal Institute of British Architects

RICS

Royal Institution of Chartered Surveyors

r.w.p.

rainwater pipe

SMM

Standard Method of Measurement

sw.

softwood

swg

standard wire gauge

About the Companion Website

The companion website for this book is at

www.wiley.com/go/lee/elements-of-quantity-surveying

The website includes:

PDFs

Videos

Scan this QR code to visit the companion website

Chapter 1Introduction

The modern quantity surveyor

The training and knowledge of the quantity surveyor have enabled the role of the profession to evolve over time into new areas, and the services provided by the modern quantity surveyor now cover all aspects of procurement, contractual, and project cost management. This holds true whether the quantity surveyor works as a consultant or is employed by a contractor or subcontractor. Whilst the importance of this expanded role cannot be emphasised enough, success in carrying it out stems from the traditional ability of the quantity surveyor to measure and value. It is on the aspect of measurement that this book concentrates.

The need for measurement

There is a need for measurement of a proposed construction project at various stages from the feasibility stage through to the final account. This could be in order to establish a budget price, give a pre‐tender estimate, produce contract documents for pricing, provide a contract tender sum, or evaluate the amount to be paid to a contractor. There are many construction or project management activities that require some form of measurement so that appropriate rates can be applied to the quantities and a price or cost established.

The measurement explained in this book is primarily for the production of a bill of quantities as part of the traditional procurement approach to construction. Other procurement approaches move the need for detailed measurement to later stages of the project cycle and away from activity undertaken by the client's team to that of the contractor's team.

The need for rules

The need for rules to be followed when undertaking any measurement becomes clear when costs for past projects are analysed and elemental rates or unit rates are calculated and then applied to the quantities for a proposed project. For greater accuracy in pricing, it is important to be able to rely consistently on what is included in an element or unit, and this helps build a more reliable cost database.

Following the Royal Institute of British Architects (RIBA) 2013 Work Stages, the measurement undertaken at Stage 1 – ‘Preparation’ – needs to be of basic areas or functional units, and the guidelines of the Royal Institute of Chartered Surveyors (RICS) Code of Measuring Practice are commonly followed. This enables comparisons to be made between different schemes and options when assessing the feasibility of a project. When preparing a cost plan, the need to include the same items in each element is important so that costs for that element can be accurately applied. In May 2009, the RICS published the first of its new set of rules for measurement dealing with the order of cost estimates and elemental cost planning. The RIBA work stages and the New Rules of Measurement (NRM) are explained a little further in Chapter 2.

The same need for rules applies when measuring for bills of quantities. If a document is to be used for tender purposes and included in a contract, then the contractor needs to know the basis of the measurement and what is included or excluded from an item to be priced. Historically, standard methods of measurement have been used to provide these rules and are available in various forms worldwide. The RICS NRM – detailed measurement for building works (NRM2) are part of the RICS ‘black book’ guidance for accepted practice in the UK. At post‐contract stages, when measuring for variations or additional works, it is important that the rules used in the contract document (if applicable) are followed to minimise disputes.

Establishing the approach

The approach to take for any measurement is to decide its purpose and the level of design detail available, enabling the adoption of the most appropriate rules and procedures.

Having an ability to read and understand the rules for measurement for bills of quantities should enable the measurer to appreciate the requirements of different rules and approaches.

Method of study

Before you start to work through the chapters on each element it is advised to study Chapters 1–7 in order to grasp the basic principles thoroughly. You should understand the form in which dimensions are usually written, irrespective of whether a computer system will eventually be used to record dimensions in practice.

Knowledge of elementary building construction and simple mensuration and trigonometry is assumed; where knowledge is weak in these subjects, further study is recommended before proceeding further with measurement.

Chapter 5 explains some of the alternative systems that are used in practice, and Chapter 6 explains how girths and centre lines are calculated.

Chapter 7 contains notes on general procedure rules for taking‐off which should be read before attempting to study actual examples of measurement, and to which subsequent referral may also be useful.

Chapters 8–18 represent the sections into which the taking‐off of a small building might be divided, and these should be worked through one at a time. The principal applicable clauses of NRM2 are referred to in each chapter and should be studied concurrently. After the chapter has been read, the examples should be worked through. It should be possible to follow every measurement by reference to the drawing. It may therefore be appropriate for you to copy or print off the drawings so that they can be read alongside the dimensions.

The examples of taking‐off in this book are small isolated parts of what could be the dimensions of a complete building and are not a connected series. When they have been mastered in their isolation, it will be much easier to see how they might be expanded and fitted together to compile a bill of quantities for a complete building.

Chapters 19 and 20 deal with preliminaries and bill preparation, which are more logically dealt with after taking‐off, as this is often a separate process.

Examples

The measurement examples are included to illustrate the measurement of individual elements of a small building. They assume that full specification clauses would be set out in preambles to the bill and are not included here (see Chapter 20).

The dimensions that are set down in the dimension column when taking‐off are given to the nearest two decimal places of a metre. Side casts (or waste calculations, as they are sometimes called) are used to calculate these dimensions, and are given in millimetres to ensure accuracy.

The examples in the chapters are presented in a traditional dimension format, this being considered the best system for a textbook and what the candidate will usually be faced with in the examination room. Abbreviations have been used for deductions where a description sufficient to recognise an item clearly is all that is required. The abbreviations used in the descriptions are listed in the ‘Abbreviations’ section at the beginning of this book.

There is a companion website for this book where some of the examples are included as audio presentations to provide further explanation if required.

Chapter 2Detailed Measurement

Method of analysing cost

It is evident that if a building is divided up into its constituent parts, and the cost of each part can be estimated, an estimate can be compiled for the whole work. It was found in practice that by making a ‘schedule’ setting out the quantity of each item of work for a project, the labour and material requirements for these could be more readily assessed. This schedule at Royal Institute of British Architects (RIBA) stage 5 can be in the form of a bill of quantities which, when priced by a contractor, provides a tender sum for a project. It must not be forgotten that a traditional bill of quantities only produces an estimate. It is prepared and priced before the erection of the building and gives the contractor's estimated cost. Such an estimated cost, however, under the most commonly used construction contracts, becomes a tender and a definite price for which the contractor agrees to carry out the work as set out in the bill. The bill must, therefore, completely represent the proposed work so that a serious discrepancy between actual and estimated cost does not arise.

Origin of the bill of quantities

Competitive tendering is one of the basic principles of most classes of business, and if competitors are given comprehensive details of the requirements it should be fair to all concerned. However, historically when tendering based on drawings and specification, builders found that considerable work was involved in making detailed calculations and measurements to form the basis for a tender. They realised that by getting together and employing one person to make these calculations and measurements for them all, a considerable saving would be made in their overhead charges. They began to arrange for this to be done, each including the surveyor's fee for preparing the bill of quantities in their tender, and the successful competitor paying. Each competing builder was provided with the same bill of quantities which could then be priced in a comparatively short space of time. It was not long before this situation was realised by the architect and employer. Here the employer was paying indirectly for the quantity surveyor through the builder, whereas the surveyor could be used as a consultant if a direct appointment was made. This would give the employer greater control over the amount paid to the surveyor and the opportunity to increase the service that was provided. In this way, the quantity surveyor began to get the authority of the employer and was employed to prepare a bill of quantities for tendering purposes.

The measurement process

The main purpose of a bill of quantities is therefore for tendering. Each contractor tendering for a project is able to price the work on exactly the same information with a minimum of effort. This gives rise to the fairest type of competition.

Despite the decline in the use of bills of quantities, over 50% of the value of all building work in the UK is still let using lump‐sum contracts with firm or approximate quantities, therefore requiring measurement. Most other procurement routes, such as design and build and management contracting in its various forms, also involve quantification of the work in some form or other by the main contractor, subcontractor or package contractor, and therefore the measurement process continues to be of importance.

Computerised and other alternative measurement systems have become more widely used. However, it is only by having a detailed understanding of the traditional method of setting down dimensions and framing descriptions that such systems can be fully understood and properly utilised. There continues to be development of 3D computer‐aided design software that integrates with building information modelling, and the ability to generate quantities directly from the computer model. These software programs, however, have difficulty in producing quantities in accordance with any standard method and as yet have not removed the need for the quantity surveyor to check and validate the model, the quantities it generates, and to prepare the tender and contract documents.

Attributes of a quantity surveyor

What, then, are the desired measurement skills of a good quantity surveyor? An ability to describe clearly, fully and precisely the requirements of the designers and present the bill of quantities so that the contractor's estimator can quickly, easily and accurately arrive at the estimated cost of the work is essential. This being so, it is obviously important that the surveyor should be able to write clearly in language that will not be misunderstood, and have a sound knowledge of building materials and construction and of customs prevailing in the industry. Moreover, the surveyor must be careful and accurate in making calculations, have a systematic and orderly mind and be able to visualise the drawings and details.

Divisions of bill preparation

The traditional preparation of a bill of quantities divides itself into two distinct stages:

The measurement of the dimensions and the compilation of the descriptions from the drawings and specification. This process is commonly known as

taking‐off

.

The preparation of the bill. This involves the calculation of volumes, areas, etc. (

extending or squaring the dimensions

). Traditionally, this was followed by entering the descriptions and the squared dimensions on an abstract (

abstracting

) to collect similar items together and present them in a recognised bill order. From this abstract, the draft bill was written (

billing

).

Through the utilisation of computerised systems, the various stages have become more integrated. The facility now exists for direct input of quantities and formulation of descriptions through the use of standard libraries of descriptions, and the lengthy collating and bill preparation processes are carried out automatically. It should be noted that there is often still the need to produce preliminaries and preambles separately and to input uncommon items (rogue