Cost Estimating 1 Dr. Emad Elbeltagi CHAPTER 1
INTRODUCTION
Cost is a major factor in most decisions regarding construction, and cost estimates are prepared throughout the planning, design, and construction phases of a construction project, different types of cost estimating from preliminary to detailed are conducted for different purposes. All of these estimates are important because they invariably influence the expenditure of major sums. However, estimates made in the early phases of a project are particularly important because they affect the most basic decisions about a project. In most cases, the final cost (or cost projections during construction) has been significantly higher than the cost estimates prepared and released during initial planning, preliminary engineering, final design, or even at the start of construction.
1.1 The Construction Project
A project is defined, whether it is in construction or not, by the following characteristics: - A defined goal or objective.
- Specific tasks to be performed. - A defined beginning and end. - Resources being consumed.
The goal of construction project is to build something. What differentiate the construction industry from other industries is that its projects are large, built on-site, and generally unique. Time, money, labor, equipment, and, materials are all examples of the kinds of resources that are consumed by the project.
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Projects begin with a stated goal established by the owner and accomplished by the project team. As the team begins to design, estimate, and plan out the project, the members learn more about the project than was known when the goal was first established. This often leads to a redefinition of the stated project goals.
1.2 Project Life-Cycle
The acquisition of a constructed facility usually represents a major capital investment, whether its owner happens to be an individual, a private corporation or a public agency. Since the commitment of resources for such an investment is motivated by market demands or perceived needs, the facility is expected to satisfy certain objectives within the constraints specified by the owner and relevant regulations.
From the perspective of an owner, the project life cycle for a constructed facility may be illustrated schematically in Figure 1.1. A project is expected to meet market demands or needs in a timely fashion. Various possibilities may be considered in the conceptual planning stage, and the technological and economic feasibility of each alternative will be assessed and compared in order to select the best possible project. The financing schemes for the proposed alternatives must also be examined, and the project will be programmed with respect to the timing for its completion and for available cash flows. After the scope of the project is clearly defined, detailed engineering design will provide the blueprint for construction, and the definitive cost estimate will serve as the baseline for cost control. In the procurement and construction stage, the delivery of materials and the erection of the project on site must be carefully planned and controlled. After the construction is completed, there is usually a brief period of start-up of the constructed facility when it is first occupied. Finally, the management of the facility is turned over to the owner for full occupancy until the facility lives out its useful life and is designated for demolition or conversion.
Of course, the stages of development in Figure 1.1 may not be strictly sequential. Some of the stages require iteration, and others may be carried out in parallel or with overlapping time frames, depending on the nature, size and urgency of the project.
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Furthermore, an owner may have in-house capacities to handle the work in every stage of the entire process. By examining the project life cycle from an owner's perspective we can focus on the proper roles of various activities and participants in all stages regardless of the contractual arrangements for different types of work.
Figure 1.1: Project life cycle
The project life cycle may be viewed as a process through which a project is implemented from beginning to end. This process is often very complex; however, it can be decomposed into several stages as indicated by the general outline in Figure 1.1. The solutions at various stages are then integrated to obtain the final outcome. Although each stage requires different expertise, it usually includes both technical and managerial activities in the knowledge domain of the specialist. The owner may choose to decompose the entire process into more or less stages based on the size and nature of the
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project. Very often, the owner retains direct control of work in the planning stages, but increasingly outside planners and financial experts are used as consultants because of the complexities of projects. Since operation and maintenance of a facility will go on long after the completion and acceptance of a project, it is usually treated as a separate problem except in the consideration of the life cycle cost of a facility. All stages from conceptual planning and feasibility studies to the acceptance of a facility for occupancy may be broadly lumped together and referred to as the Design/Construct process, while the procurement and construction alone are traditionally regarded as the province of the construction industry.
There is no single best approach in organizing project management throughout a project's life cycle. All organizational approaches have advantages and disadvantages, depending on the knowledge of the owner in construction management as well as the type, size and location of the project. It is important for the owner to be aware of the approach which is most appropriate and beneficial for a particular project. In making choices, owners should be concerned with the life cycle costs of constructed facilities rather than simply the initial construction costs. Saving small amounts of money during construction may not be worthwhile if the result is much larger operating costs or not meeting the functional requirements for the new facility satisfactorily. Thus, owners must be very concerned with the quality of the finished product as well as the cost of construction itself. Since facility operation and maintenance is a part of the project life cycle, the owners' expectation to satisfy investment objectives during the project life cycle will require consideration of the cost of operation and maintenance. Therefore, the facility's operating management should also be considered as early as possible, just as the construction process should be kept in mind at the early stages of planning and programming.
1.3 Types of Contracts
There are many types of contracts that may be used in the construction industry. Construction contracts are classified according to different aspects. They may be classified according to the method of payment to the contractor. When payment is based on prices which submitted by the contractor in his tender, they are called cost-based
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contracts. Examples are cost-reimbursable and target cost contracts. Contracts may be classified in the point of view of the risk involved. The range of risk runs from a fixed-price contract to a totally non-risk cost-reimbursable contract at the other end (Figure 1.2).
Figure 1.2: Contracts classification
1.2.1 Lump-sum contract
A single tendered price is given for the completion of specified work to the satisfaction of the client by a certain date. Payment may be staged at intervals on the completion. The contract has a very limited flexibility for design changes. The tendered price may include high level of financing and high risk contingency. Where considerable risk has been places with the contractor, this contract may lead to cost cutting, trivia claims, or bankruptcy. Contract final price is known at tender. A lump-sum contract would seem to prevent risks for the client where in fact it just changes them. An important risk to the client is that of not receiving competitive bids from desirable contractors who may avoid a high-risk lump-sum contract. This contract may be used for a turnkey construction. It is appropriate when work is defined in detail, limited variations are expected, level of risk is low and quantifiable, and client does not wish to be involved in the management of his project.
1.2.2 Admeasurement contract
In this type of contracting, items of work are specified in Bills of Quantities or Schedule of Rates. The contractor then specifies rates against each item. The rates include risk contingency. Payment is paid monthly for all work completed during the month. The
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contract offers a facility for the client to introduce changes in the work defined in the tender documents. The contractor can claim additional payment for any changes in the work content of the contract. Claims resolution is very difficult because the client has no knowledge of actual cost or hidden contingency. Tender price is usually increased by variations and claims. Two forms of admeasurement contract are usually used: bill of quantities and schedule of rates.
The admeasurement contract is well understood and widely used. It can be used when little or no changes are expected, level of risk is low and quantifiable, and when design and construction need to be overlapped.
1.2.3 Cost-reimbursable contract (cost-plus contract)
The contractor is reimbursed for actual cost plus a special fee for head office overheads and profit, no special payment for risk. Payment may be made monthly in advance. The contract involves a high level of flexibility for design changes. Final price depends on changes and extent to which risks materialize. The contractor must make all his records and accounts available for inspection by the client or by some agreed third party. The fee may be a fixed amount or a percentage of actual costs. This contract has no direct financial incentives for the contractor to perform efficiently. It may be used when it is desirable for design to proceed concurrently with construction and when the client wishes to be involved in contract management.
1.2.4 Target cost contract
Cost targets may be introduced into cost-reimbursable contracts. In addition to the reimbursement of actual cost plus percentage fee, the contractor will be paid a share for any saving between target and actual cost, while the fee will be reduced if actual cost exceeds the target. The target figure should be realistic and the incentive must be sufficient to generate the desired motivation. Specified risk' can be excluded from the tendered target cost. When these occur, the target cost is adjusted accordingly and the client pays the actual cost incurred by the contractor. The target may also b' adjusted for
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major changes in work and cost inflation. This contract can be used in the same circumstances as the cost-plus contract.
1.4 Estimating
Estimating is not an exact science. Knowledge of construction, common sense and judgment are required. Estimating material costs can be accomplished with a relatively high degree of accuracy. However, accurate estimating of labor and equipment costs is considerably more difficult to accomplish. Estimating material costs is a relatively simple and easy task. The quantity of materials for a particular job can be accurately calculated from the dimensions on the drawings for that particular job. After the quantity of material is calculated and knowing the unit prices, the cost could be estimated by multiplying the quantity by the unit prices. Estimating labor and equipment costs is more difficult than estimating material costs. The cost of labor and material depends on productivity rates, which can vary substantially from one job to another. The skill of the labor, job conditions and many other factors affect the productivity of labor.
Estimating plays important roles in forecasting future events in construction process. It consists of two distinct tasks: determining the probable cost and determining the probable time to build a project
Cost estimate has been defined in different ways. For example:
Estimating is the compilation of all the costs of the elements of a project or effort included within an agreed upon project scope. To a contractor, this is the cost that will most likely be incurred to complete the project as defined in the contract documents and to turn it over to the owner. In another definition, it is the production of a statement of the approximate quantity of materials, time and costs to perform construction decisions. Cost estimating is, also defined as, the process of analyzing a specific scope of work and predicting the cost of performing the work. The basic challenges the construction contractor faces are to estimate the cost of constructing a project, schedule the specific construction activities, and then build the project within the estimated cost and schedule.
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Cost estimating is the process of analyzing a specific scope of work and predicting the cost of performing the work. The basic challenges the construction contractor faces are to estimate the cost of constructing a project, schedule the specific construction activities, and then build the project within the estimated cost and schedule. The objective of cost estimate is to produce an accurate, cost effective prediction of what a project will most likely cost and it needs to be done in different manners at different stages. Cost Estimating is a complex process involving collection of available and pertinent Information relating to the scope of a project, expected resource consumption and future changes in resource costs. At the beginning of a project, the estimate cannot be expected to carry a high degree of accuracy since little information is known. As the design progresses more information is known and accuracy should improve (Figure 1.3).
Required information: Detailed plans, specifications, available site data, available
resource data (labor, material, & equipment), contract documents, resource cost information, pertinent government regulations, applicable owner requirements. Various names have been given to estimates by several organizations. However, there is no industry standard that has been established for defining estimates.
Cost Estimating 9 Dr. Emad Elbeltagi 1.5 An Estimator
The estimator (or quantity surveyor, or cost engineer) is the person who prepares estimates in the planning, design, and perhaps construction stages. An estimator is always involved for studies requiring thorough understanding of the principles and methods of engineering economics. He or she must often work closely with managers, accountants, financial analysts, and engineers to forecast the cash or borrowing needs for the project. As major decision is made from information contained in the conceptual or preliminary estimate, this places a responsibility and liability on the estimator. He or she will risk reputation when insufficiently accurate estimate is prepared for a bid but the owner or the contractor will risk money.
A good estimator must conceptualize the complete building before it is fully designed. He or she must be able to think, and perceive the details of the project. The estimator must also have the ability to anticipate design decisions and communicate those assumptions made during the conceptual estimating process. He or she must also be knowledgeable of the expected life of construction materials, accounting, taxation, law, economics, and awareness of engineering design. Qualifications for a good estimator include: patience of detail; technical knowledge; good memory; knowledge of construction process; able to plan the works; have an idea of relative costs and good judgment. An estimator must not spend so much time and effort to analyze unnecessary details in determining the costs of insignificant items as the estimating will take time and be expensive. In a bill of quantities for civil engineering project, 80% of the costs can be attributed to 20% of the items, and vice versa.
1.6 Purpose of Estimating
The purpose of estimating is to determine the forecast costs required to complete a project in accordance with the contract plans and specifications. For any given project, the estimator can determine with reasonable accuracy the direct costs for materials, labor, and equipment. The bid price can then be determined by adding to the direct cost the costs for overhead (indirect costs required to build the project), contingencies (costs for
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any potential unforeseen work), and profit (cost for compensation for performing the work). The bid price of a project should be high enough to enable the contractor to complete the project with a reasonable profit, yet low enough to be within the owner's budget.
There are two distinct tasks in estimating: determining the probable cost and determining the probable time to build a project. With an increased emphasis on project planning and scheduling, the estimator is often requested to provide production rates, crew sizes, equipment spreads, and the estimated time required to perform individual work items. This information, combined with costs, allows an integration of the estimating and scheduling functions of construction project management. Because construction estimates are prepared before a project is constructed, the estimate is, at best, a dose approximation of the actual costs. The true cost of the project will not be known until the project has been completed and all costs have been recorded.
1.7 Construction Project Costs
The principal components of a contractor's costs and expenses result from the use of labors, materials, equipment, and subcontractors. Additional general overhead cost components include taxes, premiums on bonds and insurance, and interest on loans. The sum of a project's direct costs and its allocated indirect costs is termed the project cost. The costs that spent on a specific activity or project can be classified as;
- Fixed cost: costs that spent once at specific point of time (e.g., the cost of purchasing equipment, etc.)
- Time-related cost: costs spent along the activity duration (e.g., labor wages, equipment rental costs, etc.)
- Quantity-proportional cost: costs changes with the quantities (e.g., material cost)
Project direct costs
The costs and expenses that are incurred for a specific activity are termed direct costs. These costs are estimates based on detailed analysis of contract activities, the site
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conditions, resources productivity data, and the method of construction being used for each activity. A breakdown of direct costs includes labor costs, material costs, equipment costs, and subcontractor costs.
Project indirect costs
Other costs such as the overhead costs are termed indirect costs. Part of the company’s indirect costs is allocated to each of the company's projects. The indirect costs always classified to: project (site) overhead; and General (head-office) overhead.
Project overhead
Project overhead are site-related costs and includes the cost of items that cannot be directly charged to a specific work element and it can be a fixed or time-related costs. These include the costs of site utilities, supervisors, housing and feeding of project staff, parking facilities, offices, workshops, stores, and first aid facility. Also, it includes plants required to support working crews in different activities.
A detailed analysis of the particular elements of site-related costs is required to arrive at an accurate estimate of these costs. However, companies used to develop their own forms and checklists for estimating these costs. Sit overhead costs are estimated to be between 5% - 15% of project total direct cost.
General overhead
The costs that cannot be directly attributed a specific project called general overhead. These are the costs that used to support the overall company activities. They represent the cost of the head-office expenses, mangers, directors, design engineers, schedulers, etc. Continuous observations of the company expenses will give a good idea of estimating reasonable values for the general overhead expenses. Generally, the general overhead for a specific contract can be estimated to be between 2% - 5% of the contract direct cost. The amount of the general overhead that should be allocated to a specific project equals:
Project direct cost x general overhead of the company in a year Expected sum of direct costs of all projects during the year
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Having defined the direct costs, indirect costs, then the project total cost equals the sum of both direct and indirect costs.
1.8 Types of Cost Estimating
There are many types of cost estimates that can be performed on a project, each type having different levels of accuracy. The estimating process becomes increasingly more expensive as more detailed and accurate techniques are applied. Estimating can be categorized into several classes according to purposes, budget, limitation, time, and accuracy. Generally, the nature and characteristics of estimating can be summarized as follow: accuracy improves with the development of the project such that the distribution of errors narrows from feasibility to settlement; underestimates are more likely than overestimates and the final cost of a project cannot be established until the settlement of project accounts.
For example, cost estimates is divided into seven types: 1- Preliminary or rough cost or approximate estimate is prepared to decide the financial aspect and accompanied by detailed report, brief specifications, layout plan showing the proposal in hand; and brief idea of rates for different items; 2- Detailed estimate, is prepared in detail prior to inviting of tenders; 3- Quantity estimate, is a complete estimate of quantities for all items of work required to complete a project; 4- Revised estimate is also a detailed estimate and is prepared afresh, when the original sanctioned detailed estimate exceeds by 5% or more; 5- Annual repair or maintenance prepared in order to keep the structures in proper condition; 6- Supplementary estimate, when some additions are done in the original work; and 7- Extension estimate, when some changes and extensions are required to be made in old work.
Typically, cost estimates are divided into three major types: 1- Conceptual cost estimates are developed using incomplete project documentation; 2- Semi-detailed cost estimates are prepared when parts of the project have been completely designed; and 3- Detailed cost estimates are prepared based on fully developed construction drawings and
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specifications. The accuracy of the estimate depends on the completeness of the contract documents and the experience of an estimator. The typical accuracy of the various types of cost estimates is shown in Table 1.1.
Table 1.1: Accuracy of different types of cost estimates
Type of Estimate Construction Document Development Expected
Percent Error*
Conceptual Schematic Design
0-30% Construction Documents ± 10-20 %
Semi-Detailed Design Development
30-90% Construction Documents ± 5-10 %
Detailed 90-100% Plans and Specifications ± 2-4 %
* Percent error means the expected variation between cost estimate and actual cost There are many types of cost estimates and re-estimates for a project based on the stage of project development. Estimates are performed throughout the life of a project, beginning with the first estimate and extending through the various phases of design and into construction. Initial cost estimates form the basis to which all future estimates are compared. Future estimates are often expected to agree with (i.e., be equal to or less than) the initial estimates. However, too often the final project costs exceed the initial estimates. Estimates are performed throughout the life of a project, beginning with the first estimate and extending through the various phases of design and into construction, as shown in Figure 1.4.
Traditionally, the different classifications of estimates conclude that there are three main types of estimates:
1. Conceptual cost estimates. 2. Semi-detailed cost estimates. 3. Detailed cost estimates.
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Figure 1.4: Level of accuracy of cost estimates
1.8.1 Conceptual estimate
A conceptual estimate is also known as a top-down, order of magnitude, feasibility, analogous, or preliminary estimate. It is the first serious effort made at attempting to predict the cost of the project. A conceptual estimate is usually performed as part of the project feasibility analysis at the beginning of the project. In this way, the estimate is made with limited information on project scope, and is usually made without detailed design and engineering data.
The conceptual estimate is also defined as approximate estimate and used to know the budget for a project. Considerable experience and judgment are required to obtain a dependable approximate estimate for the cost.
1.8.2 Semi-detailed estimate
Semi-detailed cost estimates are developed while basic design decisions are being made to verify that the project can be constructed at its intended scope within the owner's budget. Some aspects of the project may be completely designed. Detailed estimating methods can be used to estimate the cost of project components that have been designed, and conceptual estimating methods are used to estimate the cost of those components that remain to be designed. This means that databases are used to estimate the cost of components for which the design is not complete, and project data are used to estimate
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the cost of components for which the design is complete. Therefore, these estimates are known as semi-detailed cost estimates.
1.8.3 Detailed estimate
A detailed estimate is also known as a bottom-up, fair-cost, or bid estimate. Detailed estimates are prepared once the design has been completed and all construction documents prepared. The estimator divides the project into individual elements of work and estimates the quantities of work for each element. Next, the individual elements of work are priced to determine an estimated cost for each one. The estimated costs are summed, and overhead costs are added to cover the contractor's cost of managing the work.
The breakdown of tender price is illustrated in Figure 1.5. The tender price consists of two components, the construction cost estimate and mark-up (margin). The direct cost is the combined costs of labor, equipment, material, and subcontractor’s costs. The addition of site overheads and office overheads to the direct cost produces the construction cost estimates. The second component of the tender price is the mark-up (margin) which consists of the profit margin, risk allowance, and financial charge.
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The various estimates discussed above are carried out in sequence, the previous cost estimate being the input to the next one. The estimates are successively refined, incorporating new information and thus keeping a continuously updated estimate that becomes the budget, available for control process. As the project progresses, the amount of unknowns and uncertainties decreases, while the level of details and the project information increases. In this way, the accuracy of the estimate improves as it moves from conceptual to detailed estimate.
A detailed estimate is prepared by determining the costs of materials, labor, equipment and subcontractor work. Detailed estimate is prepared from a complete set of contract documents before the submission of a bid. It follows a systematic procedure begins with a thorough review of the complete set of contract documents, drawing and technical specification. A site visit should be done to observe factors that can influence the cost of construction such as: available space for material storing, security, control of traffic and existing underground utilities.
The estimator prepares a material quantity take-off of all materials from the drawings. The quantity of material multiplied by the unit cost of the materials yields the material cost. The quantity of work required of equipment is divided by the equipment production rate and then multiplied by the unit cost of equipment to obtain the total cost of equipment and similarly, the cost of labor are calculated.
The direct cost of a project includes material, labor, equipment, and subcontractor costs. Upon the completion of the estimate of direct costs, the estimator must determine the indirect costs of taxes, bonds, insurance and overhead required to complete the project. A risk analysis of uncertainties is required to determine an appropriate contingency to be added to the base estimate to account for the unforeseen work that develops during construction. Upon calculation of the direct and indirect costs, analysis of risk and assignment of contingency, a profit is added to the estimate to establish the bid price. The amount of profit can vary considerably, depending on numerous factors such as the size and complexity of the project, amount of work in progress by the contractor, accuracy
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and completeness of the bid documents, competition for work. The steps for preparing a detailed estimate are listed in Table 1.2.
Table 1.2: Steps for preparing a detailed cost estimate
1 Review the scope of project. Consider the effect of location, security, traffic, available storage space, underground utilities, etc. on costs. 2 Determine quantities. Perform a material quantity takeoff for all work items. 3 Obtain suppliers’ bids.
4 Price material. Material cost = quantity x unit price. 5 Price labor based on their probable production rate. 6 Price equipment based on their probable production rates. 7 Obtain specialty contractors’ bids.
8 Calculate taxes, bonds, insurance and overhead.
9 Contingency and markup. Add costs for potential unforeseen work. 10 Profit. Add costs for compensation for performing the work.
1.9 Quantity Takeoff
To prepare an estimate, the estimator reviews the plans and specifications and performs a quantity takeoff to determine the type and amount of work required to build the project. The quantity of material in a project can be accurately determined from the drawings. The estimator must review each sheet of the drawings, calculate the quantity of material and record the amount and unit of measure. The unit cost of different materials should be obtained from material suppliers and used as the basis of estimating the costs of materials for the project. If the costs of the materials do not include delivery, the estimator must include appropriate costs for transporting materials to the project.
Each estimator must develop a system of quantity takeoff that ensures that a quantity is not omitted or calculated twice. A well-organized check-list of work will help reduce the chances of omitting an item. The estimator must, also, add an appropriate percentage for waste for those items where waste is likely to occur during construction. The material quantity takeoff is extremely important for cost estimating because it often establishes the quantity and unit of measure for the costs of labor and contractor’s equipment.
Cost Estimating 18 Dr. Emad Elbeltagi 1.10 Production Rates
To determine the time required to perform a given quantity of work, it is necessary to estimate the probable rates of production of the equipment or labor. These rates are subject considerable variation, depending on the difficulty of the work, skill of the labor, management conditions and the condition of the equipment.
A production rate is the number of units of work produced by a unit of equipment or a person in a specified unit of time. The time is usually one hour or one day. The rate could be determined during an interval when production is processing at the maximum possible speed. However, delays or interruptions may hinder the work at any time and reduce the average production rate to less than the ideal rates. So, the production rate is always lowered by a factor to account for such interruptions.
For example, a backhoe with 1 m3 bucket may be capable of handling 3 bucket-loads per minute under ideal conditions. However, on a given job, the average volume per bucket may be only 0.8 m3 and the backhoe may be actually operating only 45 min/hr. for these operating conditions, the average output can be calculated as follows:
The ideal output: 3 m3/min x 60 min/hr = 180 m3/hr The bucket factor = 0.8
The efficiency factor = 45/60 = 0.75
The combined operating factor = 0.8 x 0.75 = 0.6 The average output = 0.6 x 180 = 108 m3/hr
The average output should be used in computing the time required to complete a job.
1.11 Exercises
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a. Contract changes are more likely to occur on a single fixed price contract than on a cost plus a fee contract.
b. In lump sum contracts, it is allowed to change in the quantity of work performed within a limit of 25%.
c. In the admeasurement contracts, the item description, quantity, unit of measure, unit cost and the total cost in the B.O.Q should be cleared.
d. The owner has the ability to know the contractor profit in the unit price contracts.
e. The direct costs are the summation of the cost of the labor, equipment, materials, and subcontractors.
f. Overheads include the cost of items which cannot be directly charged to a specific work element.
g. The construction project must have a defined goal or objective. h. The construction project must have a defined beginning and end. 2. What are the main types of construction contracts?
3. Explain what is meant by the two terms: “Price-based Contracts” and “Cost-based Contracts”.
4. Compare the following types of contracts from the point of view of flexibility for design changes and variations:
- Lump Sum.
- Admeasurement.
- Target cost.
5. Compare the lump sum, admeasurements, and cost plus contracts from the following point of view:
- Early start to construction.
- Risk sharing.
6. Select the right answer:
I. Site selection and financing would be the responsibility of which project member.
a. Owner b. Designer
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II. Which of the following is not a characteristic of a project?
a. Having a specific goal b. Having a defined beginning and end c. Resources being consumed d. usually being performed only once e. Never being found outside the construction field
III. The advertising for contractors and review of contractors’ bids occurs during which project phase.
a. Procurement b. Design
c. Construction d. Conceptual planning
IV. As-built drawings, warranties, and operation manuals are all provided to the owner during which project phase.
a. Design b. Conceptual planning
c. Construction d. Project closeout
V. As project moves on in time, the ability to change the project becomes…………difficult and…………expensive.
a. more, less b. less, less
c. more, more d. less, more
7. Briefly describe the project life cycle.
8. Explain how the cost could be transferred to a tender price? 9. Give three examples of direct and indirect costs.
10. The cost spent of a given activity could be classified into …., ….. and …… 11. What are the different types of cost estimate and when each one is used?
CHAPTER 2
QUANTITY TAKE-OFF
The quantity “takeoff” is an important part of the cost estimate. It must be as accurate as possible and should be based on all available engineering and design data. Use of appropriate automation tools is highly recommended. Accuracy and completeness are critical factors in all cost estimates. An accurate and complete estimate establishes accountability and credibility of the cost engineer, therefore, providing greater confidence in the cost estimate. The estimate contingencies for programming purposes reflect the estimate confidence.
2.1 Importance of Quantity Takeoff and Required Documents
The quantity of material in a project can be accurately determined from the drawings. The estimator must review each sheet of the drawings, calculate the quantity of material and record the amount and unit of measure. Each estimator must develop a system of quantity takeoff that ensures that a quantity is not omitted or calculated twice. A well-organized check-list of work will help reduce the chances of omitting an item. The estimator must, also, add an appropriate percentage for waste for those items where waste is likely to occur during construction. The material quantity takeoff is extremely important for cost estimating because it often establishes the quantity and unit of measure for the costs of labor and contractor’s equipment.
2.1.1 Contract documents
The contract is defined by the contract documents, which are developed from the tender documents. In a logical order, these documents refer to the following subjects:
Input from the client (task description).
Output of the contract (specifications, results to be achieved). Prices for the contractor's contribution.
Responsibilities and procedures (liability, resources provided, time schedule, payment conditions, changes procedures, etc).
Contract documents are usually arranged according to the following sequence: General (for any project).
Special (for a specialty area of the project). Supplementary (unique to a given project). Additional (during bidding or negotiation).
Agreement form (for singing very important and particular clauses). Modifications (during contract fulfillment).
The complete contract agreement usually consists of the following documents: Conditions (general, special, supplementary).
Drawing and specifications. Addenda.
Agreement form. Modifications.
The most important document from the legal point of view is the agreement. It is sometimes called the contract. Since so many documents are included as contract documents, the agreement is the better term for this particular one. The form of the agreement can be standardized and used for many projects, or a unique document can be prepared for each project. The standard form of agreement prescribed by the American Institute of Architects has proved to be satisfactory and has been used on many building projects with good results. The form followed for non-building projects is often more varied. Man: agencies have own standard forms, which are used on all their projects.
Information usually included in the agreement of three parts. The first part is a short introductory paragraph which defines the parties, gives the date of the agreement, and state that each party agrees to what follows. The second part contains the elements of contract and defines the work to be undertaken. The final paragraph confirms the agreement and provides space for signatures of the parties. Thus, the agreement usually composed of the following articles:
1. A short introductory paragraph. 2. Scope of the work.
3. Time of completion. 4. Contract documents. 5. Performance bond. 6. Contractor's insurance. 7. Owner's insurance.
8. Laws, regulations and permits. 9. Payments.
10. Extensions of time. 11. Changes in the work.
12. Owner's right to terminate the work. 13. Contractor's right to terminate the work. 14. Confirmation and signatures.
2.1.2 Quantity take-off: Why?
Owner perspective:
- Initial (preliminary) estimate of the project costs at the different stages of the project.
- Preparing the BOQ as a requirement of the contract documents. - Estimating the work done for issuing the contractor payments. Contractor perspective:
- Pricing different work items.
- Identifying the needed resources (Labor, Equipment, etc.). - Project schedule.
- Preparing invoices for work done. - Subcontractors’ payments.
- Review and control of crews’ production rates.
2.2 Quantity Development
After the scope has been analyzed and broken down into construction tasks, each task must be quantified prior to pricing. Equal emphasis should be placed on both accurate quantity calculation and accurate pricing. Quantities should be shown in standard units of measure and should be consistent with design units. Assistance for preparing “takeoffs” may be provided by others within the organization in support of cost engineering; however, the responsibility for the accuracy of the quantities remains with the cost engineer. Distinction should be made between “net” quantities without waste versus quantities that include waste or loss. This is necessary to ensure duplication does not occur within the estimate.
The detail to which the quantities are prepared for each task is dependent on the level of design detail. Quantity calculations beyond design details are often necessary to determine a reasonable price to complete the overall scope of work for the cost estimate. A simple example would be fabrication waste material that is a material cost to the project. Project notes will be added at the appropriate level in the estimate to explain the basis for the quantity calculations, to clearly show assumed quantity allowances or quantity contingencies, and to record quantities determined by cost engineering judgment that will be reconciled upon design refinement. Use the following recommended guidelines in quantity development:
- Coordinate the quantity takeoff process and plan with the estimator. - Ensure full project scope is reflected within the estimate.
- Utilize a process that easily records the quantity development, i.e., document source and date, estimator name and date, location within the project, demonstrated calculations and additions such as waste or loss.
- Use a systematic approach similar to the construction methodology required. - Check scales and dimensions on each drawing sheet.
- Highlight or mark drawing areas where quantities have been determined to ensure all scope is captured but not double counted.
- Consider items that have no material but still require cost, e.g., job office overhead (JOOH), task setup, training and certifications, and labor preparation. - Develop quantities within a reasonable range for the work using decimals where
critical.
- Add a certain amount of waste, loss, drop off, or length related to the material purchases for a bulk order. Ensure this addition is separate from the original quantity measured.
- Select a natural stopping point during work interruptions.
- Coordinate with designers if the design appears in error, if a better approach is discovered, or a value engineering process is warranted.
2.3 Bill of Quantities
The Bill of Quantities (BOQ) is defined as a list of brief descriptions and estimated quantities. The quantities are defined as estimated because they are subject to admeasurement and are not expected to be totally accurate due to the unknown factors which occur in civil engineering work. The objective of preparing the Bill of Quantities is to assist estimators to produce an accurate tender efficiently and to assist the post-contract administration to be carried out in an efficient and cost-effective manner. It should be noted that the quality of the drawings plays a major part in achieving theses aims by enabling the taker-off to produce an accurate bill and also by allowing the estimator to make sound engineering judgments on methods of working. Figure 2.1 shows a sample of a bill of quantities.
The bill of quantities, when completed, is traditionally presented in trade format; that is, in a given order, for example:
- Demolition and alteration - Groundwork
- Concrete work - Masonry - Etc.
Also, the bill of quantities is classified into the following work groups:
- Civil works which includes: Earth works (leveling, excavation, backfilling, transportation of excavated soil); Foundation works (plain and reinforced concrete, piling foundations); Brick works (internal and external); Skelton reinforce concrete (columns, beans, slabs and stairs); Water proofing; Staircases; Plastering, Flooring; Painting; Metal works (windows, doors, accessories); etc. - Sanitary works which includes: Water feeding systems; Internal and external
plumbing works; Finishes of plumbing works; etc.
- Electrical works which includes: Electrical cables; Wiring; Accessories; Internal connections; etc.
- Mechanical works which includes: Air conditioning systems; Elevators; etc.
2.4 Measurement Practice
It is vitally important that measurement practice applied to buildings is both accurate and consistent. There are a number of situations that require a quantity surveyor to measure and record dimensions from both drawings as well as on site, depending on the stage of the project. In order to standardize measurement rules and conventions, there are a number of standard codes and methods of measurement that are available. These are outlined below.
There are various approaches to measurement for bills of quantities and these are as follows:
- Each (numbers): Piles, doors, Windows, Precast concrete, etc. - Length (meter): Windows sills, Pipes, Skirts, stair steps, etc.
- Area (Square meter): Flooring, painting, plastering, Brick walls (12 cm or less), etc.
- Volume (Cubic meter): Brick walls (>12 cm thick), Excavation, Backfilling, Reinforced Concrete, etc.
- Weight (Ton): Metallic works, Reinforcement steel, etc.
- Lump Sum: Some electrical and plumbing works, Manholes, etc. - Effort (Man-day): Renting of equipment or labor, etc.
Figure 2.2shows a sample of the quantity surveying table for quantity take-off.
Fig. 2.2: Quantity take-off table
2.4.1 Earth works
Earth works comprises site level, excavation, backfilling and transportation of excavated materials.
Excavation:
- Quantities are calculated based on the dimensions of the foundation in plans from the owner perspective.
- Contractors should consider the excess of material excavated to all for safe operations.
- Prices differ based on the soil type, deep of excavation, ground water level, site location, shoring system, Equipment used, etc.
- Unit of measurement is cubic meter (volume). - Consider the following example (Figure 2.3).
Fig. 2.3: Plan and cross section of building foundation The length of excavation = 5.4 × 2 + (4.4 – 2) × 2 = 15.6 m Depth of excavation = 1.8 m
Width of excavation = width of plain concrete footing = 1.0 m Volume = 15.6 × 1.8 × 1.0 = 18.8 m3
- Consider another example (Figure 2.4). Plain concrete dimensions (1.2 × 2.0 × 0.2 m), reinforced concrete footings dimensions (0.8 × 1.6 × 0.4 m); depth of excavation 1.2 m and ground beams cross section is (0.25 × 0.4 m). Find the
volume of the excavated material (see Figure 2.4). Distance between centerlines is 5 m.
Fig. 2.4: Footing foundation plan and cross section Excavation for footings = 2 × 1.2 × 2.0 × 1.2 = 5.76 m3
Excavation for smell = (5 – 2 × 1) × 0.6 × 0.25 = 0.45 m3 Volume = 5.76 + 0.45 = 6.21 m3
Backfilling:
- Unit of measurement is cubic meter (volume)
- Backfilling = Excavation – volume of all works inside the excavated pit (footings, smells, column necks, brickwork, etc.) + amount above GL (or – amount below GL) as shown inFigure 2.5.
- Consider the example shown inFigure 2.4, the volume of backfilling could be calculated as follow:
Volume of backfilling = excavation – concrete – brick Volume of concrete = 15.6 × 1 × 0.4 = 6.24 m3
Volume of brick = 15.6 × 0.4 × 1.4 = 8.736 m3
Volume of backfilling = 18.8 – (6.24 + 8.736) = 3.824 m3 Site leveling:
- Measured in m2(area) if thickness less than 30 cm. - Measured in m3(volume) if thickness more than 30 cm.
Soil transportation:
- Transported soil = vol. of exc. – vol. of backfilling + additional soil at site - Add swelling factor based on the soil type: 5% sandy soil. 15% clayey soil and
25% for demolition material. (owner or contractor)
2.4.2 Concrete works:
Concrete works comprises of both plain concrete (PC) and reinforced concrete (RC).
Plain concrete (PC):
- Measured in m2(area) if thickness < 20 cm.
- Measured in m3(volume) if thickness ≥ 20 cm.
- Average thickness should be mentioned when measurement is done by area.
Reinforced concrete (RC):
- All RC elements measured by volume (m3) except hollow block slabs measured by area (m2).
- Domes, cylindrical roofs and shells measured by area in the horizontal projection.
The rules and precautions that should be followed when measuring brick works are (Figure 2.6):
- Measured in m2(by area) if thickness <25 cm.
- Measured m3(by volume) if thickness ≥25cm.
- Deduct all openings.
- Deduct half the area (volume) of arches. - Deduct all Concrete elements.
- Facades are measured by area. - Separate item for each brick type
Fig. 2.6: Cross section of brick walls
2.4.4 Plastering:
Plaster works are measured according to its location of being internal or external works. Internal plaster work measured as it is (engineering measurement).
Internal Plaster:
- Engineering measurement by area (m2).
- All openings are deducted. - All openings sides are added.
- Inclined slabs are calculated based on their horizontal projection.
External plaster:
- Measured by area (m2).
- Openings with areas < 4 m2 are kept with deduction. - Deduct half the area of the openings ≥ 4 m2.
- Openings with areas < 4 m2are kept with deduction. - Cantilever slabs < 1 m projection not added.
- Add half the area of cantilever slabs ≥ 1 m.
2.5 Example Application: Substructure
As with most measurement exercises it is good practice to start with a taking-off list containing all the items that have to be included on a Substructure – taking-off list:
• Site preparation Removing trees and shrubs Lifting turf
Top soil/removing/preserving
• Excavation Reduce levels/disposal of excavated material
Excavating trenches/disposal of excavated material /filling/surface treatments
• Earthwork support to sides of reduced level/sides of trenches • Concrete Foundations
Beds/formwork/damp-proof membrane
• Masonry Brick walls/facings
Forming cavities Filling to cavities Damp-proof courses
Virgin sites will almost certainly be covered with a layer of vegetation that has to be removed prior to excavation and stored separately or removed from site. Top soil cannot be used for backfilling as it would, over time, cause damage to the substructure. The usual default depth for topsoil is 150 mm although it could be more than this and a test pit may be dug to accurately determine the actual depth. Figure 2.7 shows a 5 m grid of a survey of levels taken on a proposed site.
Fig. 2.7: Grid survey of the proposed site
The site is required to be reduced to a level of 35.62 and in order to calculate the volume of excavation required the average level of the site must be determined. This can be quite easily done by calculating the average level:
Average site level = (35.90 × 5 + 35.86 × 3 + 35.89 × 2 + 35.92 + 35.84 × 2 + 35.88 × 2 + 35.85 + 35.87 × 2) / 18 = 35.87 m
Reduced site level = 35.62 m Average excavation depth = 0.25 m
Total excavation volume = 0.25 × 25 × 10 = 62.5 m3
Figure 2.7 shows the ground floor plan of the building with the external and internal walls.
Fig. 2.7: Ground floor plan showing external and internal walls
Figure 2.8 shows a cross-section through the trench and reduced level excavation required for the external wall in the Example application. Note that the levels have been reduced internally by 150 mm to allow for a 150 mm thick bed of hardcore. The top of the hardcore bed when compacted will be covered or blinded with sand to prevent the damp proof membrane, a layer of polythene sheet with a minimum thickness of 0.30 mm, being perforated by the hardcore. It is important that the material used as hardcore is inert and free from chemicals, vegetable or other deleterious matter. It is a requirement of the Building Regulations that insulation is incorporated into the floor construction and in this case 50 mm thick rigid insulation board has been used. The bottom of the trench excavation when completed will be compacted prior to the concrete being poured, this is to prevent the soil being incorporated into the concrete and weakening the mix. This is particularly important when reinforced concrete is being used, where it is common to blind the bottom of the excavation with a weak mix concrete before the reinforcement is placed in position.
Fig. 2.8: Cross sections of external and internal walls
Working space
Working space is to be measured in circumstances where workmen have to operate in situations that require them to work in trenches below ground level, for example when working with formwork, rendering, tanking or protection. It is measurable as a superficial item where there is less than 600 mm between the face of the excavation and the work; all additional earthwork support, disposal, backfilling and breaking out are deemed to be
included with the working space item. This is another contractor’s risk item as he must decide and price what space he thinks is required as illustrated inFigure 2.9.
Fig. 2.9: Work space allowance The different quantities take-off is shown as presented below.
2.6 Exercises
1.
Consider the following figure, it is required to prepare a quantity take-off for the following types of work to be included on the bill of quantities:a. Excavation. b. . Backfilling
c. Plain concrete footing
d. Reinforced concrete footings and smells and column necks till the ground level.
3. Perform quantity surveying for the different work items of the building shown below.
CHAPTER 3
CONCEPTUAL COST ESTIMATING
At the beginning of a project by the owner, prior to any design, only limited information is known about a project. However, the owner must know the approximate to evaluate the economic feasibility of proceeding with the project. Thus, there is a need to determine the approximate cost of a project during its conceptual phase.
A conceptual estimate is also known as a top-down, order of magnitude, feasibility, analogous, or preliminary estimate. It is the first serious effort made to predict the cost of the project. A conceptual estimate is usually performed as part of the project feasibility analysis at the beginning of the project. In this way, the estimate is made with limited information on project scope, and is usually made without detailed design and engineering data. The conceptual estimate is also defined as approximate estimate and used to know the budget for a project. Considerable experience and judgment are required to obtain a dependable approximate estimate for the cost.
3.1 Conceptual Cost Estimating Basics
Conceptual cost estimating is an important pre-design planning process. The following subsections present the conceptual cost estimating definitions, characteristics, importance, preparation, process, and outputs.
3.1.1 Conceptual cost estimating definition
A “conceptual estimate” is an estimate prepared by using engineering concepts and avoiding the counting of individual pieces. As the name implies, conceptual estimates are
generally made in the early phases of a project, before construction drawings are completed, often before they are hardly begin. The first function of a conceptual estimate is to tell the owner about the anticipated cost, thus presenting useful information for the owner in contemplating the project feasibility and further development. A conceptual estimate is also used to set a preliminary construction budget, and to control construction costs at the most critical stage, during the design. Conceptual cost estimating is defined as the forecast of project costs that is performed before any significant amount of information is available from detailed design and with incomplete work scope definition, with the purpose of using it as the basis for important project decisions like go/no-go and the appropriation of funds decisions.
3.1.2 Conceptual cost estimating characteristics
The first recognized characteristic of conceptual estimating, like all other estimating, is the inexactness in the process. With the absence of data and with shortage of time, there may be no other way to evaluate designs but to use opinion. Conceptual estimating is a mixture of art and science; the science of estimating tells the cost of past work. The art is in visualizing a project and the construction of each detail, selecting comparative costs from past projects and adjusting them to new conditions.
The second characteristic of conceptual estimating is that its accuracy and validity are highly related to the level of information provided by the project scope. The availability of a good, complete scope definition is considered the most crucial factor for conceptual estimating.
The third characteristic of conceptual estimating is that it is a resource restricted activity. The main resources for conceptual estimating are information, time, and cost. Due to the fact that conceptual estimating is performed in the early stages of the project, the scope information available is usually restricted in detail as well as in precision. In addition, the time and cost available for making the estimate is restricted. Conceptual estimating is used to determine the feasibility of a project quickly or screen several alternative designs. Therefore, the estimate, although important, cannot be given much time and resources.
3.1.3 Importance of conceptual cost estimates
Preliminary estimate assists the overall cost-control program by serving as the first check against the budget. It will indicate the cost overruns early enough for the project team to review the design for possible alternates. Since preliminary estimate is made prior to the completion of detailed design, the margin of error will be relatively large. Then, the larger contingency should be applied. The contingency varies with the amount of design information available and the extent of cost information obtainable from similar projects.
3.1.4 Preparation of conceptual cost estimates
A generic conceptual cost estimating preparations is shown in Figure 3.1, the preparations begins with a request made by management to estimate the cost of a new project. The most important part of the request is the project scope. The first task for the estimator is to study and interpret the project scope and produce an estimating plan. The next task is to collect historical data related to similar past projects. The selection and usage of these data is crucial for the estimating preparations because inappropriate information will negatively affect the estimate. The outputs from this stage are the project conceptual cost estimate and a documented estimating basis used to develop this cost. It is very important to describe in detail all the information, assumptions, adjustments, and procedures considered in the estimate. The resulting conceptual cost estimate is then submitted to management for decision-making.
To prepare an elemental cost plan the following information should be assembled: • A cost analysis of a previous similar building
• Sketch plans and elevations of the proposed project
• Outline specification/levels of services installation, etc. for the proposed project.
3.1.5 Conceptual Cost Estimating Output
The primary output of the cost estimating effort is the cost estimate. The estimate is typically expressed in unit cost. Alternative units can be work quantities, material quantities, or staff work hours. However, for majority of the highway construction
projects, the unit cost are mostly applicable; therefore, they are frequently used.
Fig. 3.1: Conceptual cost estimating preparations
3.2 Broad Scope of Conceptual Estimates
Prior the design of a project, cost estimate could be prepared based on the cost information based on previously completed projects similar to the proposed project. The number of units or size of the project is the only available information. Although the range of costs varies among projects, the estimator can develop unit costs to forecast the cost of future projects.
The unit cost should be developed from weighting the data that emphasizes the average value, yet it should account for the extreme maximum and minimum values. In that regard Eq. (3.1) can be used for weighting cost data from previous projects.
UC = (A + 4B + C) / 6 (3.1)
Where: UC = forecast unit cost
A = minimum unit cost of previous projects Request for Estimate
Report to Management Study & Interpretation
of Information Collect Additional Information Conceptual Cost Estimating
Decision Making
Not Approved Approved
Preliminary Budget
B = average unit cost of previous project C = maximum unit cost of previous projects
Example 3.1
Use the weighted unit cost to determine the conceptual cost estimate for a proposed parking that is to contain 135 parked cars. Previous projects data are given in Table 3.1.
Table 3.1: Previous projects cost data
Project No. Cost (LE) No. of cars
1 2 3 4 5 6 7 8 466,580 290,304 525,096 349,920 259,290 657,206 291,718 711,414 150 80 120 90 60 220 70 180 Solution
The unit cost per car can be calculated as given in Table 3.2. Table 3.2: Unit cost per car
Project No. Unit cost (LE/car) 1 2 3 4 5 6 7 8 3,110.4 3,628.8 4,375.8 3,888.0 4,321.5 2,978.3 4,167.4 3,952.3
Then, the average unit cost = 30,431.5 / 8 = LE3,803.94 / car
Using Eq. 3.1, the forecast unit cost = (2,987.3 + 4 × 3,803.94 + 4,375.8) / 6 = 3,763.14.
3.3 Conceptual Estimate Adjustment
It is necessary for the estimator to adjust the cost information from previously completed projects for use in the preparation of a conceptual cost estimate for a proposed project. There should be adjustment for time, location, and size.
3.3.1 Adjustment for time
The use of cost information from a previous project to forecast the cost of a proposed project will not be reliable unless an adjustment is made proportional to the difference in tine between the two projects. The adjustment should represent the relative inflation or deflation of costs with respect to time due to factors such as labor rates, material costs, interest rates, etc.
Measures of changes in items such as location, building costs or tender prices are performed using index numbers. Index numbers are a means of expressing data relative to a base year. For example, in the case of a building cost index, a selection of building materials is identified, recorded and given the index number 100. Let us say for the sake of argument that the cost of the materials included in the base index is LE70.00 in January 2005. Every 3 months the costs are recorded for exactly the same materials and any increase or decrease in cost is reflected in the index as follows: Building cost index January 2005 = 100; Building cost index January 2009 = 135. This, therefore, represents an increase of 35% in the cost of the selected materials and this information can be used if, for example, data from a 2005 cost analysis was being used as the basis for calculating costs for an estimate in January 2009.
Various organizations publish indices that show the economic trends of the construction industry with respect to time. The estimator can use the change of value of an index between any two years to adjust past cost records and to forecast future project costs.
Suppose the indices for building construction projects show these economic trends (Table 3.3). It is required to use the cost of a LE843,500 project completed last year to prepare a conceptual estimate for a project proposed for construction 3 years from now.
Table 3.3: Construction economic trends
Year Index 3 years ago 2 years ago 1 year ago Current year 358 359 367 378 Solution
The equivalent interest rate can be calculated based on the change in the cost index during the 3-year period as follow:
(378/358) = (1 + i)3, then i = 1.83%
Accordingly, the cost of the project should be adjusted for time as follows: Cost = LE843,500 × (1 + 0.0183)4= LE906,960
3.3.2 Adjustment for location
Tender price levels vary according to the region of the country where the work is carried out. Similarly, as stated previously in section 3.3.1, the use of cost information from a previous project to forecast the cost of a proposed project will not be reliable unless an adjustment is made proportional that represents the difference in cost between the locations of the two projects. The adjustment should represent the relative difference in costs material, equipment and labor of the two locations. Indices that show the relative difference in construction costs with respect to geographical location is usually published by many organizations.
Example 3.3
Suppose the indices for different location of construction costs are shown in Table 3.4. Suppose that the construction cost of a project completed at city A is LE387,200, it is required to prepare a conceptual estimate for a similar project proposed in city D.
Table 3.4: Locations cost indices Location Index City A City B City C City D City E 1.025 1.170 1.260 1.105 1.240 Solution
The cost of the proposed project could be adjusted for location as follows: Cost = LE387,200 × (1.105 / 1.025) = LE417,420
3.3.3 Adjustment for size
The use of cost information from a previous project to forecast the cost of a future project will not be reliable unless an adjustment is made that represents the difference in size of the two projects. In general, the cost of a project is directly proportional to its size. The adjustment is generally a simple ratio of the size of the proposed project to the size of the previous project from which the cost data are obtained.
3.3.4 Combined adjustment
The conceptual cost estimate for a proposed project is prepared from cost records of a project completed at a different time and at a different location with a different size. The estimator must adjust the previous cost information for the combination of time, location and size.
Example 3.4
Use the time and location indices presented in Tables 3.3 and 3.4 to prepare the conceptual cost estimate for a building with 62,700 m2of floor area. The building is
LE2,197,540 and contained 38,500 m2completed 2 years ago in city E. Estimate the
probable cost of the proposed building.
Solution
Proposed cost
= Previous cost × Time adjustment × Location adjustment × Size adjustment = LE2,179,540 × (1 + 0.0183)5× (1.17 / 1.24) × (62,700 / 38,500)
= LE3,700,360
3.3.5 Unit-cost adjustment
Although the total cost of a project will increase with size, the cost per unit may decrease. For example, the cost of an 1800 m2house may be LE535/m2where as the cost of a 2200 m2 house of comparable construction maybe only LE487/m2. This is because certain
items such as furniture, garage, etc., are independent of the size of the project. Size adjustment for a project is unique to the type of project. The estimator must obtain cost records from previous projects and develop appropriate adjustments for his/her particular project.
Example 3.5
Cost records from previous projects show this information (Table 3.5). Find the unit cost as a function of the number of units.
.
Table 3.5: Previous projects cost data
Project No. Cost (LE) Size, no. of units
1 2 3 4 5 2,250 1,485 2,467 2,730 3,401 100 60 120 150 190 Solution
Table 3.2: Unit cost
Project No. Unit cost (LE)
1 2 3 4 5 22.5 24.75 20.56 18.20 17.90
A plot of these points is shown in Figure 3.2. For the first order relationship, the general equation for a straight line is: y = ax + b. The equation of the straight line can be determined as:
y = [(17.9 – 24.75) / (190 – 60)] x + 24.75 = - 0.0526 x + 24.75
where 60 < x < 190, then y = 24.75 – 0.0526 (S – 60) where S the number if units in the proposed project.
Or by adding a trend line of linear type, thus yields the equation shown in Figure 3.1:
y = - 0.056 x + 27.81
Obtaining the unit cost for 170 units project size = - 0.056 × 170 + 27.81 = LE18.29