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Al-Zaytoonah Private University of Jordan Faculty of Engineering/Civil Engineering Department CE 902573 Specifications and Quantity Surveying - 3 credits

Quantity Surveying

Class Notes

By

Dr. Hesham Ahmad

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Table of Contents

Table of Contents ...I

Chapter 1: Introduction ... 1

1.1 Definition of Quantity Survey ... 1

1.2 Data Required for the Preparation of an Estimate or Quantity Survey ... 1

1.3 Importance of Quantity Survey ... 2

1.4 Types of Estimates and Quantity Survey ... 2

1.5 Contracts ... 3

1.5.1 Obligations of the employer (ูƒู„ุงู…ู„ุง) ... 3

1.5.2 Obligations of the Contractor (ู„ูˆุงู‚ู…ู„ุง) ... 3

1.5.3 Role of the Engineer (ูุงุฑุดู„ุฅุงูˆุฃ ูŠุฑุงุดุชุณู„ุฅุง) ... 4

1.6 Types of Contracts ... 5

1.6.1 Measured or Unit rate Contract ... 5

1.6.2 Lumpsum contract ... 6

1.6.3 Cost-plus contract ... 6

1.6.4 Construction Management Contract (C.M.) ... 7

Chapter 2: Quantity Survey Items and Methods ... 8

2.1 Introduction ... 8

2.2 Bill of Quantities BOQ (ุชุงูŠู…ูƒู„ุงู„ูˆุงุฏุฌ) ... 9

2.3 Excavation (ุชุงูŠุฑูุญู„ุงู„ุงู…ุนุฃ) ... 10

Swell and Compaction ... 10

Cross-section Method (Grid Method) ... 11

Cut and Fill with Paving ... 19

Simple Grid Method ... 20

2.4 General Excavation ... 21

Basement Excavation ... 21

Continuous Footing Excavation ... 23

Spread Footing Excavation ... 24

2.5 Backfilling (ู…ุฏุฑู„ุงู„ุงู…ุนุฃ) ... 25

Backfilling the Basement Walls ... 25

Backfilling the Continuous Foundations ... 26

2.6 Concrete Works (ุฉู†ุงุณุฑุฎู„ุงู„ุงู…ุนุฃ) ... 28 Jordanian Specifications ... 28 Examples ... 29 2.6.1 Blinding (ุฉูุงุธู†ู„ุงุฉู†ุงุณุฑุฎ) ... 30 2.6.2 Concrete of Footings (ุชุงุณุงุณู„ุฃุงุฉู†ุงุณุฑุฎ) ... 31 2.6.3 Concrete of Slabs(ุชุงุฏู‚ุนู„ุงุฉู†ุงุณุฑุฎ) ... 33 2.7 Steel Reinforcement(ุญูŠู„ุณุชู„ุงุฏูŠุฏุญู„ุงู…ุนุฃ) ... 35 2.8 Plastering (ุฉุฑุงุตู‚ู„ุงู„ุงู…ุนุฃ) ... 39 2.9 Bricks (ุจูˆุทู„ุงู„ุงู…ุนุฃ) ... 42 2.10 Masonry Work (ุฉูŠุฑุฌุญู„ุงู†ุงุฑุฏุฌู„ุงู„ุงู…ุนุฃ) ... 46

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Chapter 1: Introduction

1.1 Definition of Quantity Survey

Quantity survey is a schedule of quantities of all the items of work in a building.

1.2 Data Required for the Preparation of an Estimate or Quantity Survey 1.2.1 Drawings

Complete and fully dimensioned drawings (i.e. plans, elevations, sections and other details) of the building or work in question are required.

1.2.2 Specifications

Detailed specifications, giving the nature, quality and class of work, materials to be used, quality of the material, their proportions, and method of preparation are required.

1.2.3 Rates

The rates of various of work, materials to be used in the construction, wages of different categories of labor (skilled or unskilled) and cost of transportation charges should be available for preparing an estimate of work cost.

1.2.4 Actual Finished Work

Quantities can be calculated from the actual work done in the project site.

- The quantities mainly can be calculated as:

Quantity = Length ร— Width ร— (Height or Thickness), Quantity = Area of cross-section ร— Length,

Quantity = Length ร— Width, Quantity = Length.

Quantity = Number of Units. Quantity = Weight.

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1.3 Importance of Quantity Survey

1. Quantity survey is essential to estimate before the construction starts the probable cost of construction for the complete work. The construction cost includes cost of materials, cost of transportation, cost of labor, cost of scaffolding, cost of tools and plants, establishment and supervision charges, cost of water, taxes and reasonable profit of the contractor, etc. The estimate is required in inviting tenders for the works and to arrange contract for a complete project.

2. Quantity survey is required to estimate the quantities of the various materials required and the labor involved for satisfactory completion of a construction project.

3. It is also useful to check the works done by contractors during and after the execution. Also the payment to the contractor is done according to the actual measurements of the completed part of each item of work.

4. A complete quantity survey or estimate is useful to provide useful advice to clients on: (i) Valuation of properties (land and building) for sale, purchase and mortgage etc. (ii) Fixation of standard rent.

(iii) For insurance and claim for damages in a building.

(iv) For the process of resolving disputes by referring to a third party. 1.4 Types of Estimates and Quantity Survey 1.4.1 Preliminary or Approximate Estimate

This is to find out an approximate cost in a short time. It is used to give an idea of the cost of a proposed project. This estimate helps the client or sanctioning authority to make decision of the administrative approval.

The approximate cost is prepared from the comparison with similar works. The approximate cost can be found by using methods that depends on the area or cubic content of a building and then multiplying this by an estimated rate for the unit of the area or cubic content. Approximate quantities of materials and labor required per m2 of the area for a proposed building also can be found.

1.4.2 Detailed Estimate

After getting the administrative approval, this estimate is prepared in detail prior to inviting of tenders. The whole project is divided into sub-works, and the quantities of each sub-work are calculated separately. The dimensions of the required work are taken from the drawings of the project.

1.4.3 Quantity Estimates

This is a complete estimate of quantities for all items during project implementation. 1.4.4 Revised Estimate

Prepared if the estimate exceeded by 5% due to the rates being found insufficient or due to some other reason.

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Estimating required quantities and cost of work to maintain a structure (road, building, etc.) 1.5 Contracts

Contract is an agreement between two or more parties creating obligations (ุชุงู…ุงุฒุชู„ุฅ) that are enforceable or recognizable at law ( ุงูŠู†ูˆู†ุงู‚ ุงู‡ุจ ูุฑุชุนู… ูˆ ุฉู…ุฒู„ู…)

It establishes an obligation of each party (ุฉู‡ุฌ ,ู‚ูŠุฑู ุŒุจุฒุญ) tofulfill what it is agreed to perform.

1.5.1 Obligations of the employer (ูƒู„ุงู…ู„ุง)

1. Appointing of the engineer to administer the contract 2. Provision of the site

3. Provision of information, permits, and approvals

4. Providing funds and making payments in accordance with the contract

5. Participation in consultations with the engineer to agree matters on claims or conflicts between parties.

1.5.2 Obligations of the Contractor (ู„ูˆุงู‚ู…ู„ุง)

1. Execution and completion of the works and remedying (ุฌู„ุงุนูŠ) any defects (ุจูˆูŠุน) therein. 2. Provision of (:ูŠู„ูŠ ุงู… ุฑูŠููˆุช ู„ูˆุงู‚ู…ู„ุง ู‰ู„ุน ุจุฌูŠ):

a. Labor, materials, plant, and equipment needed b. Preparation of progress report

c. Works program for execution, and updating it whenever required d. Setting out of the works

e. Measurement and/or assisting the engineer to do so f. Records of his personnel and equipment

g. Sample of materials specified h. Testing and re-testing

i. Temporary works

j. Facilities for other contractors working on the site k. Keeping the site clean, and remove rubbish 3. The contractor is required to:

a. Sign the contract when he is called to do so

b. Obtain and submit securities, guarantees, and insurance policies c. Ensure that his representatives will be available on site at all times

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d. Prepare and submit the contractorโ€™s document, including โ€œas built drawingsโ€ and manuals of operation and maintenance

e. Attend to the engineerโ€™s instructions

f. Provide access to the employerโ€™s personnel to enter the site g. Prepare and submit payment statement and documentation h. To uncover works for inspection when required

i. Rectify (Correct) defective works

j. Secure or compensate the employer against any claims

k. Submit notices to the engineer whenever he encounters circumstances that may cause future claims

l. Getting approval before assigning sub-contractors or partners of the works m. Respond for consultation with the engineer

4. Comply with the applicable laws, labor law and other local regulations.

1.5.3 Role of the Engineer (ูุงุฑุดู„ุฅุง ูˆุฃ ูŠุฑุงุดุชุณู„ุฅุง)

Usually the employer will enter into a consultancy agreement with the engineer to design and/or supervise the works.

The engineer shall have no authority to amend the contract. Engineer role can be:

1. As the employerโ€™s agent:

a. Administration of the contract โ€“ dealing with the procedures, provision of information and interpretations, issuance of variations, approval of samples, etc.

b. Cost accountancy and payments 2. As a supervisor:

The engineer must ensure that the work is being performed to fulfill the contract documents. 3. As a certifier:

The engineer is required to certify or approve the payments that should be paid by the employer to the contractor. Those payments should be made periodically, mostly on monthly basis, and should depend on the quantity of works finished by the contractor.

4. As a determiner:

The engineer must act as a mediator to help the parties towards agreement in issues such as claims for reimbursement of costs (ุฉูŠู„ุงู… ุชุงุถูŠูˆุนุช) or extension of time (ุนูˆุฑุดู…ู„ุง ุชู‚ูˆ ุฏูŠุฏู…ุช).

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5. Issuance of instructions and variations (ุชู„ุงูŠุฏุนุชู„ุง ูˆ ุชุงู…ูŠู„ุนุชู„ุง ุฑุงุฏุตุฅ):

Include: issuance of additional or modified drawings, actions in relation to defective works, issuance of clarifications, giving approval, and ordering variations.

1.6 Types of Contracts

1.6.1 Measured or Unit rate Contract

In this type of contract, the price is computed by multiplying quantities of work executed by the unit rate offered by the contractor in his tender. The rates are usually set out in the Bill of Quantities (BOQ).

Such contracts often used where there are significant changes in the quantities or working conditions. So, when there are certain reasonable differences of the quantities accepted by all the parties, then the contract can be paid for by multiplying the actual measured quantities by the unit rates.

Advantages:

1. Suitability: This type of contract is widely used in the execution of large projects financed by public bodies or governments. It also suits the works which can be split into separate items and the quantity of each item could be estimated with reasonable accuracy.

2. The employer pays for the actual work executed.

3. The contractor usually allows for a certain margin of variation, with a clear mechanism for valuation of such variations.

4. The engineer / employer has liberty to provide some drawings during the execution of the project, after award.

Disadvantages:

l. The employer cannot be absolutely sure of the total cost of the project until the whole work is completed. In case the quantities in the BOQ are inaccurate or roughly approximated, the value of the work may vary considerably. The contractor may try to offer an unbalanced tender on the basis of his anticipation of the uncertainty of quantities of certain items.

2. Both the engineer and the contractor have to do considerable computations and book-keeping during the progress of work.

3. Extra works or varied items of work are often a source of conflict. The contractor may press for higher rates than he would have tendered for in the beginning.

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1.6.2 Lumpsum contract

In a lumpsum contract, the contractor agrees to carryout the entire work as indicated in the drawings and described in the specifications, for a specified fixedlumpsum amount.

Sometimes, the contract makes provisions to adjust the โ€œlump sumโ€ allowing for extra work and limited variations.

Normally, a bill of quantities is not usually included,and if included it does not form part of the "Contract Documents", but may be used just for guidance.

Instead, a schedule of rates may be of value to evaluatethe cost of extras or omissions.

Advantages:

l. From the employer's stand point, and if no extrasare contemplated, the tender sum tells him the exact cost of the project. Sometimes the employer will be working within a tight margin of budget.

2. From the contractor's stand point, because thedesign will often be prepared by him, the contractor can gain through proper planning andefficient management to increase his margin of profit and/or to control timing.

3. Both parties need less number of staff for book-keeping (ุฉูŠุจุณุงุญู…ู„ุง ุชู„ุงู…ุงุนู…ู„ุง ุนูŠู…ุฌ ู„ูŠุฌุณุช ูŠุฃ ุฑุชุงูุฏู„ุง ูƒุณู… ุฉูŠู„ู…ุน), accounting and measurement.

Disadvantages:

l. In lumpsum contracts, there should be a completeset of plans and specifications, or what is called "Employer's Requirements" which should besufficiently detailed.

2.Variations in lumpsum contract may trigger conflicts about whether or not a particular item of work falls within the agreed scope of work, and whether there has been a variation to such scope.

3.This type of contract will not be suitable for works with scope and nature that cannot be predicted accurately in advance. The outcome will be unfair for the contractor to assume all risks and uncertainties, or for the employer to pay a higher cost.

1.6.3 Cost-plus contract

This type of contract differs from both the measured and the lumpsum contract in that the employer agrees to pay the contractor for the actual cost of the work plus an agreed percentage of this actual cost to cover overhead and profit.

The contractor agrees to execute the works based on the drawings and specifications and any other information that will be provided to him from time to time during progress of the works.

The percentage to be paid should not be applied on the costs of salaries of the contractorโ€™s staff, whether on-site or off-site.

Advantages:

1. Early completion of the work -The work can be started even before the design and estimates are prepared. Decisions can be taken speedily, and flexibility allows adoption of alternates for construction to suit the Employer's Requirements.

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2. The quality of the work can be assured. The contractor is induced to perform the work in the best interest of the employer.

3. No conflicts will be anticipated as to extras oromissions.

Disadvantages:

1.The final cost to the employer cannot be foretold.

2. Both parties have to do a lot of accounting and book-keeping regarding labour; purchase of materials and plant and use of equipment.

3. The contractor has no incentive to economize orfinish the work speedily.

Suitability:

In spite of some drawbacks in certain cases, this formof contract can be used suitably for:

a- Emergency works that require speedy construction and where no time is available to prepare drawingsfor it.

b- Construction of special or expensive projects, such as palaces, where the cost of the work is of no consequence but the materials and workmanship to be purchased are just to suit the choice and taste of the employer.

Remark:

An alternate to the cost-plus contract is the cost-plusfixed fee contract, where the contractor will be paid forthe actual cost of construction plus a fixed amount offees for his overhead and profit. The fee does not fluctuate with the actual cost of the project. This factor may overcome the possible drawback of the cost-pluscontract.

1.6.4 Construction Management Contract (C.M.)

In this type of contract, the employer engages aspecialized construction manager (C.M.) to provide administrative service for him and manage the work on his behalf. The (C.M.) has full control on (Cost and Time), on the budget and programming, and is usually paid on a staff-reimbursement basis.

The (C.M.) assists in choosing the design consultant and the various contractors for a project divided into packages (structural, finishes, electro-mechanical, etc.).

The technical role is kept with the design-professional, but as to control, coordination, certification and dispute resolution, the (C.M.) normally possesses the major role.

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Chapter 2: Quantity Survey Items and Methods

2.1 Introduction

Quantity surveying and the estimated quantities of materials required on a project are normally determined by professional surveyor or engineer.

The estimated quantities are provided to the interested bidders on a project to provide their prices. In this method of bidding, the contractors are all bidding on the same quantities. The estimators of contractors spend time developing the unit price of the different items in a project. To win the bid, contractors will work on keeping the cost of purchasing and installing the materials as low as possible.

As the project is built, the actual quantities are checked against the estimated quantities. For example, if the estimated quantity of concrete for a wall is 23 m3, but the actual installed concrete is 26 m3, then the contractor would be paid for the additional 3m3.

When there is a large difference between the estimated and actual quantities, an adjustment to the unit price can be made. Small adjustments are usually made at the same unit as the contractor bid. Large errors may require that the unit price be renegotiated.

If the contractor is aware of potential changes between the estimated quantities and those that will be required in the project, the contractor may price his or her bid to take advantage of this situation. For example, if the contractor is aware that the filling material in the project will be changed from excavated soil to base-course, then he can provide low unit price for filling with excavated soil (say 5 JD/m3) and high unit price for the base-course (say 15 JD/m3). If the back-fill quantities were assumed to be 2000 m3 of soil and 100 m3 of base-course, so the assumed total price as in the bid will

be 11,500 JD. But if the quantities were changed to 100 m3 of soil and 2000 m3 of base-course, then the new price of the actual work because of this change will be 30,500 JD, which will provide more profit to the contractor.

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2.2 Bill of Quantities BOQ (ุชุงูŠู…ูƒู„ุง ู„ูˆุงุฏุฌ)

ูŠุฒู„ุง ุฉุนู…ุงุฌ / ุฉุณุฏู†ู‡ู„ุง ุฉูŠู„ูƒ ู‰ู†ุจู… :ุนูˆุฑุดู…ู„ุง ุฉู†ูˆุช ุบู„ุจู…ู„ุง ุฑุนุณู„ุง ุฉูŠู…ูƒู„ุง ุฉุฏุญูˆู„ูŠูƒู„ุง ู„ู…ุนู„ุง ุนูˆู† ู…ู‚ุฑู„ุง ุฑุงู†ูŠุฏ ุณู„ู ุฑุงู†ูŠุฏ ุณู„ู ุฉูŠู†ุฏู…ู„ุง ู„ุงู…ุนู„ุฃู„ ุชุงูŠู…ูƒู„ู„ ุงูŠุฌุฐูˆู…ู† ู„ุงูˆุฏุฌ ู„ูˆุฏุฌู„ุง ุงุฐู‡ ู„ุซู…ูŠ ูˆ .ุกุงุจุฑู‡ูƒู„ุง ูˆ ุฉูŠูƒูŠู†ุงูƒูŠู…ู„ุง ูˆ ุฉูŠุฑุงู…ุนู…ู„ุง ู„ุงุบุดู„ุฃุง ุฉุฑุงุฒูˆ ู†ุน ุฉุฑุฏุงุตู„ุง ุฉู…ุงุนู„ุง ุชุงูุตุงูˆู…ู„ุง ุฏุงู…ุชุนุง ู…ุช ุฏู‚ูˆ ู†ุงูƒุณู„ุฅุง ูˆ ุฉู…ุงุนู„ุง ุจูŠูˆุจุช ู…ุช ุซูŠุญ ู„ูˆุฏุฌู„ุง ุงุฐู‡ ู„ุงู…ุนู„ุฃ ุณุงุณุฃูƒ ุฉู…ุงุนู„ุง ุชุงูุตุงูˆู…ู„ุง ุจุณุญ ุงู‡ุชุงูุตุงูˆู… ู‰ู„ุฅ ุฉุฑุงุดู„ุฅุง ูˆ ู„ุงู…ุนู„ุฃุง ูˆ ุฉูŠู†ุฏู…ู„ุง ู„ุงู…ุนู„ุฃู„ ุซู„ุงุซู„ุง ูˆ ูŠู†ุงุซู„ุง ูˆ ู„ูˆู„ุฃุง ุชุงุฏู„ุฌู…ู„ุง ูŠู ุฉุฑุฏุงุตู„ุง ูˆ ูŠู„ุงูˆุชู„ุง ู‰ู„ุน ุฉูŠูƒูŠู†ุงูƒูŠู…ู„ุง ูˆ ุฉูŠุฆุงุจุฑู‡ูƒู„ุง ูˆ ุฉูŠุฑุงู…ุนู…ู„ุง ุฉู†ุณ ุฉู…ุงุนู„ุง ู„ุงุบุดู„ุฃุง ุฉุฑุงุฒูˆ ู†ุน 1996 . ู„ ูŠุชู„ุง ู„ุงู…ุนู„ุฃุง ุงู…ุฃ ุนู‚ุช ู„ุงุงู…ุนุฃ ุฑุจุชุนุช ูŠู‡ู ุฏูˆู†ุจ ู…ุงู‚ุฑุฃุจ ุงู‡ูŠู„ุฅ ุฑุดูŠ ู… ูŠุชู„ุง ุชุงูุตุงูˆู…ู„ุง ุจุณุญ ุฐูู†ุช ูˆ ุฉุตุงุฎู„ุง ุชุงูุตุงูˆู…ู„ุง ู†ู…ุถ .ุฉุตุงุฎู„ุง ุชุงูุตุงูˆู…ู„ุง ูˆุฃ ู„ูˆุฏุฌู„ุง ุงุฐู‡ ูŠู ุงู‡ู„ ุชุนุถูˆ ุฏุนุจ ุฉุฑุฏุงุตู„ุง ุฉูŠู†ุฏุฑู„ุฃุง ุฉูŠุณุงูŠู‚ู„ุง ุชุงูุตุงูˆู…ู„ุง ุฏุงู…ุชุนุง ู…ุช ุงู…ูƒ 1985 ู‰ู„ุฅ ุฉุฑุงุดู„ุฅุง ู…ุช ุซูŠุญ ู„ูˆุฏุฌู„ุง ุงุฐู‡ ู„ุงู…ุนู„ุฃ ุงุถูŠุฃ ุณุงุณุฃูƒ ูุตุงูˆู…ู„ุง ู…ู‚ุฑ ู„ูˆุงู‚ู…ู„ุง ู‰ู„ุน ุจุฌูŠ ูˆ ุงู‡ุฑูˆุฏุต ุฉู†ุณ ูˆ ุฉูŠู†ุฏุฑู„ุฃุง ุฉ .ู„ุงู…ุนู„ุฃุง ู†ู…ุถ ุงู‡ุฏูˆุฑูˆ ุฏู†ุน ุงู‡ูŠู„ุฅ ุนูˆุฌุฑู„ุง ูุฑุดู…ู„ุง ูˆ ุฏูŠู‡ู…ุช

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2.3 Excavation (ุชุงูŠุฑูุญู„ุง ู„ุงู…ุนุฃ)

Swell and Compaction

Excavation is measured by cubic meter, foot or yard. When ground materials are excavated, they expand to a larger volume. When these materials are placed and compacted on a project, they will be compressed into smaller volume than when it was loose. The following table shows common expansion and shrinkage factors for various types of soils related to its natural condition.

Percentage of expansion & Shrinkage

Material Swell Shrinkage

Sand and Gravel 10 to 18 % 85 to 100%

Loam 15 to 25 % 90 to 100 %

Dense Clay 20 to 35 % 90 to 100 %

Solid Rock 40 to 70 % 130 %

Compacted Volume = Natural Volume X Shrinkage Loose Volume = Natural Volume X (1 + Swell)

Example:

If 100 bank cubic meter (in place at natural density) of dense clay (30% swell) needs to be moved away, how many loose cubic meters have to be moved away by trucks? And, how many loads of 8 m3 dump trucks will be needed?

Answer:

Volume of loose clay= 100 X (1+ 0.3) = 130 m3

Loads = 130 รท 8 = 16.25 (17 truck-loads will be required)

Example:

If (20m x 50m x 20cm) 200 m3 of compacted sand is required in-place, how many of 8 m3 loads

would be required? The sand has a swell of 15% and shrinkage of 95%.

Answer:

Compacted Volume = Natural Volume X Shrinkage Loose Volume = Natural Volume X (1 + Swell) Natural Volume = 200 m3 รท 0.95 = 210.5 m3 Loose Volume = 210.5 m3 X (1 + 0.15) = 242.1 m3

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Cross-section Method (Grid Method)

Every project site requires cutting and filling to reshape the grade. For any new project, site needs earthwork or grading to remove topsoil or rough ground. Cutting consists of bringing the ground to lower level by removing earth. Filling is bringing soil in to build the land to higher elevation.

The primary drawing for site excavation is the site plan. It shows contour lines that connect points of equal elevation. Also, it shows the position of the site, as shown in the previous figure. In the figure, the existing elevations are shown with dashed contour lines while the proposed new elevations are denoted with solid lines. The new proposed contour lines will change the site area into a level area at elevation 104.

Cross-section method entails dividing the site into a grid and then determining the cut and fill for each of the grids. The size of the grid should be a function of the site, the required changes, and the required level of accuracy. The following figure shows the site divided into 50-foot grid in both directions.

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The next step is to determine the approximate current and planned elevation for each grid line intersection. The following figure shows the labeling method that should be used for this process.

Because contour lines rarely cross the grid intersection, it is necessary to estimate the current and proposed elevations at each of the grid intersection points. If the proposed elevation is greater than the current elevation, fill will be required. Conversely, if the planned elevation is less than the current elevation, cutting will be needed. Then, the grids that contain both cut and fill should be examined by checking the corners of the individual grid boxes. In the figure these are grids 3, 4, 10, 11, 12, 17, 18, 19, 25, 27, 32, 34, 39, and 41.

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When a specific grid contains both cut and fill, that grid needs to be divided into grids that contain only cut, only fill, or no change. These dividing lines occur along theoretical lines that have neither cut nor fill. These lines of no change in elevation are found by locating the grid sides that contain both cut and fill. Theoretically, as one moves down the side of the grid, there is a transition point where there is neither cut nor fill. These transition points, when connected, develop a line that traverses the grid and divides it into cut and fill areas and, in some instances, areas of no change.

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Figure 9.14 shows the dimensions and proportions between cut, fill, and the unchanged area of grid 3. The remaining 1,250 sf theoretically have no cut or fill.

Figure 9.15 is the entire site plan with the areas of no cut and fill shown. Figure 9.16 is the completed cut and fill worksheet for the entire plot.

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In the previous examples, it was assumed that the finish grade was the point at which the earthwork took place; however, this is typically not true. In Figure 9.17, the planned contour lines on the parking lot represent the top of the asphalt. Therefore, the rough grading will be at an elevation different from the one shown on the site plan. In this scenario, the elevation for the rough grading needs to be reduced by the thickness of the asphalt and base material.

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Simple Grid Method

When a project site is divided with a grid of equal squares or rectangles, and all the grid intersections require only cut or only fill, then we can use the following method.

The volume of cutting or filling is calculated as follows: ๐‘‰๐‘œ๐‘™๐‘ข๐‘š๐‘’ =๐ด๐‘Ÿ๐‘’๐‘Ž ๐‘œ๐‘“ ๐‘œ๐‘›๐‘’ ๐‘Ÿ๐‘’๐‘๐‘ก๐‘Ž๐‘›๐‘”๐‘™๐‘’ 4 ร— (๐‘Ž + 2๐‘ + 3๐‘ + 4๐‘‘) ๐‘Ž = 4 + 4 + 4 + 5 + 3 + 5 + 2 + 3 + 1 = 31 ๐‘ = 2 + 4 + 4 + 1 = 11 ๐‘ = 3 + 3 + 2 + 4 + 2 = 14 ๐‘‘ = 2 + 3 + 5 + 2 + 2 = 14 ๐‘‰๐‘œ๐‘™๐‘ข๐‘š๐‘’ =10 ร— 10 4 ร— (31 + 2 ร— 11 + 3 ร— 14 + 4 ร— 14) = 3775 ๐‘š 3 4 2 3 4 5 10 m 10 m 4 2 3 4 4 3 5 2 2 3 5 4 2 2 2 3 1 1 a b a a a a a a a a b b b c c c c d d d d c d

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2.4 General Excavation

Included under general (mass) excavation is the removal of all types of soil that can be handled in fairly large quantities, such as excavations required for a basement, mat footing, or a cut for a highway or parking area.

To determine the amount of general excavation, it is necessary to determine the following: 1. Building dimensions.

2. The distance of footings beyond the project wall.

3. The amount of working space required between the edge of the footing and the beginning of excavation.

4. The elevation of the existing land, by checking the existing contour lines on the site plan. 5. The type of soil that will be encountered.

6. Whether the excavation will be sloped or supported. 7. The depth of the excavation.

If job conditions will not allow the sloping of soil, the estimator will have to consider using sheet piling or some type of bracing to shore up the bank.

When sloping sides are used for mass excavations, the volume of the earth that is removed is found by developing the average cut length in both dimensions and by multiplying them by the depth of the cut. Basement Excavation Example: L A B C A B C D ๐ด๐‘ฃ๐‘’๐‘Ÿ๐‘Ž๐‘”๐‘’ ๐ฟ๐‘’๐‘›๐‘”๐‘กโ„Ž ๐‘œ๐‘“ ๐ถ๐‘ข๐‘ก (๐ฟ๐‘ฅ ๐‘œ๐‘Ÿ ๐ฟ๐‘ฆ) = ๐ฟ + 2๐ด + 2๐ต + 2๐‘ 2

L= Length or width of building (center to center) A= Footing width/2

B= Working space

C= Horizontal distance of slope D= Depth or vertical distance of cut

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Determine the amount of general excavation required for the basement portion of the building shown in the following figure. Assume the workspace between the edge of the footing and the beginning of the excavation will be 0.5 m, by checking the existing contour lines on the site plan the expected depth of the cut is 3 m after a deduction for the topsoil that would have already been removed, and a slope of 2:1 for soil will be used, which means for every 2 m of vertical depth an additional 1 m of horizontal width is needed, rather than using shoring or sheet piling.

Figure 9.32. Building Plan.

Cross-Sections of Footings Solution: 10.00 m 4.00 m 2 3 4 5.00 m 5 BASEMENT AREA 8 .0 0 m 7 .5 0 m B 3 .0 0 m C D 1 2 3 4 5 12.00 m 10.00 m 4.00 m 5.00 m A B C D 8 .0 0 m 7 .5 0 m 3 .0 0 m 1 1 1 1 F1 F1 F1 T T 1 0.1 m 0.1 m Section (1-1) F1 Detail Footing 1 1.5 m 0.4 m 0.1 m 0.3 m 0.3 m 0.3 m 0.3 m C1 0.3 m 0.4 m Section (T-T) 1.5 m 1.5 m 0.3 m 0.4 m

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Figure 9.33. Basement Cross-Section ๐บ๐‘’๐‘›๐‘’๐‘Ÿ๐‘Ž๐‘™ ๐ธ๐‘ฅ๐‘๐‘Ž๐‘ฃ๐‘Ž๐‘ก๐‘–๐‘œ๐‘› = ๐ฟ๐‘’๐‘›๐‘”๐‘กโ„Ž ร— ๐‘Š๐‘–๐‘‘๐‘กโ„Ž ร— ๐ท๐‘’๐‘๐‘กโ„Ž

๐บ๐‘’๐‘›๐‘’๐‘Ÿ๐‘Ž๐‘™ ๐ธ๐‘ฅ๐‘๐‘Ž๐‘ฃ๐‘Ž๐‘ก๐‘–๐‘œ๐‘› = 14 ร— 12 ร— 3 = 504 ๐‘š3 Continuous Footing Excavation

Example:

Determine the amount of general excavation required for the continuous footings of the building shown in the building plan and the cross-sections drawings. Assume that the slope of the soil will be 1.5:1, the working area will be 0.5 m, and the depth of excavation will be 1.5 m.

Solution:

Width of Cut = 3.5 m Depth of Cut = 1.5 m

Length of Cut = A1toA2 + A3toA4 + A4toB4 + B4toB5 + B5toD5 + D5toD3 + D3toC3 + C3toC2 + C2toD2 + D2toD1 + D1toA1 โ€“ Width of cut already calculated in the basement excavation

L A B C A B C D ๐ด๐‘ฃ๐‘’๐‘Ÿ๐‘Ž๐‘”๐‘’ ๐ฟ๐‘’๐‘›๐‘”๐‘กโ„Ž ๐‘œ๐‘“ ๐ถ๐‘ข๐‘ก๐‘ฅ ๐‘‘๐‘–๐‘Ÿ๐‘’๐‘๐‘ก๐‘–๐‘œ๐‘› = 10 + 1.5 + 1 + 1.5 = 14 ๐‘š ๐ด๐‘ฃ๐‘’๐‘Ÿ๐‘Ž๐‘”๐‘’ ๐ฟ๐‘’๐‘›๐‘”๐‘กโ„Ž ๐‘œ๐‘“ ๐ถ๐‘ข๐‘ก๐‘ฆ ๐‘‘๐‘–๐‘Ÿ๐‘’๐‘๐‘ก๐‘–๐‘œ๐‘› = 8 + 1.5 + 1 + 1.5 = 12 ๐‘š L= 10 m in x-direction or 8 m in y-direction A= 1.5/2 m B= 0.5 m C= 1.5 m D= 3 m 0.3 m 1.5 m 0.4 m 0.1 m 1.00 m 1.50 m 0.5 m 0.5 m 0.5 m 0.5 m 1.50 m 1.00 m

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Length of Cut = 12+4+8+5+7.5+3+5+4+3+10+3+12+3+7.5+8 โ€“ 2 x (0.75+0.5+0.75) = 91 m

๐‘‰๐‘œ๐‘™๐‘ข๐‘š๐‘’ ๐‘œ๐‘“ ๐ถ๐‘œ๐‘›๐‘ก๐‘–๐‘›๐‘ข๐‘œ๐‘ข๐‘  ๐น๐‘œ๐‘œ๐‘ก๐‘–๐‘›๐‘” ๐ธ๐‘ฅ๐‘๐‘Ž๐‘ฃ๐‘Ž๐‘ก๐‘–๐‘œ๐‘› = ๐ฟ๐‘’๐‘›๐‘”๐‘กโ„Ž ร— ๐‘Š๐‘–๐‘‘๐‘กโ„Ž ร— ๐ท๐‘’๐‘๐‘กโ„Ž ๐ธ๐‘ฅ๐‘๐‘Ž๐‘ฃ๐‘Ž๐‘ก๐‘–๐‘œ๐‘› = 91 ร— 3.5 ร— 1.5 = 465.9 ๐‘š3

Spread Footing Excavation

Example:

There are 3 spread footings shown in building figure. Given that the soil slope should be 1.5:1, the working distance should be 0.5 m, the cut depth will be 1.5 m, and the footing is square. Calculate the excavation volume?

๐‘‰๐‘œ๐‘™๐‘ข๐‘š๐‘’ ๐‘œ๐‘“ ๐‘†๐‘๐‘Ÿ๐‘’๐‘Ž๐‘‘ ๐น๐‘œ๐‘œ๐‘ก๐‘–๐‘›๐‘”๐‘  (๐น1) ๐ธ๐‘ฅ๐‘๐‘Ž๐‘ฃ๐‘Ž๐‘ก๐‘–๐‘œ๐‘› = ๐ฟ๐‘’๐‘›๐‘”๐‘กโ„Ž ร— ๐‘Š๐‘–๐‘‘๐‘กโ„Ž ร— ๐ท๐‘’๐‘๐‘กโ„Ž ร— ๐‘๐‘ข๐‘š๐‘๐‘’๐‘Ÿ ๐ธ๐‘ฅ๐‘๐‘Ž๐‘ฃ๐‘Ž๐‘ก๐‘–๐‘œ๐‘› = 3.5 ร— 3.5 ร— 1.5 ร— 3 = 55.125 ๐‘š3 0.75 m 0.5 m 1.5 m 3 m Basement Continuous Footing 2.25 m 1.125 m m 2 1 0.3 m 1.5 m 0.4 m 0.1 m 1.00 m 1.50 m 0.5 m 0.5 m 0.5 m 0.5 m 1.50 m 1.00 m

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2.5 Backfilling (ู…ุฏุฑู„ุง ู„ุงู…ุนุฃ)

Backfilling the Basement Walls

๐ต๐‘Ž๐‘ ๐‘’๐‘š๐‘’๐‘›๐‘ก ๐‘‡๐‘œ๐‘ก๐‘Ž๐‘™ ๐ธ๐‘ฅ๐‘๐‘Ž๐‘ฃ๐‘Ž๐‘ก๐‘–๐‘œ๐‘› = 14 ร— 12 ร— 3 = 504 ๐‘š3 ๐ต๐‘Ž๐‘ ๐‘’๐‘š๐‘’๐‘›๐‘ก ๐ต๐‘ข๐‘–๐‘™๐‘‘๐‘–๐‘›๐‘” ๐‘‰๐‘œ๐‘™๐‘ข๐‘š๐‘’ = 10.3 ร— 8.3 ร— 3 = 256.47 ๐‘š3 ๐น๐‘œ๐‘œ๐‘ก๐‘–๐‘›๐‘” ๐‘Ž๐‘›๐‘‘ ๐ต๐‘™๐‘–๐‘›๐‘‘๐‘–๐‘›๐‘” ๐‘ƒ๐‘Ÿ๐‘œ๐‘—๐‘’๐‘๐‘ก๐‘–๐‘œ๐‘› ๐‘‰๐‘œ๐‘™๐‘ข๐‘š๐‘’ = ๐‘ƒ๐‘“ร— ๐ท๐‘“ร— ๐ฟ๐‘“+ ๐‘ƒ๐‘ร— ๐ท๐‘ร— ๐ฟ๐‘ ๐น๐‘œ๐‘œ๐‘ก๐‘–๐‘›๐‘” ๐‘Ž๐‘›๐‘‘ ๐ต๐‘™๐‘–๐‘›๐‘‘๐‘–๐‘›๐‘” ๐‘ƒ๐‘Ÿ๐‘œ๐‘—๐‘’๐‘๐‘ก๐‘–๐‘œ๐‘› ๐‘‰๐‘œ๐‘™๐‘ข๐‘š๐‘’ = 0.6 ร— 0.4 ร— (10.9 ร— 2 + 8.9 ร— 2) + 0.7 ร— 0.1 ร— (11 ร— 2 + 9 ร— 2) = 12.3 ๐‘š3 ๐ต๐‘Ž๐‘ ๐‘’๐‘š๐‘’๐‘›๐‘ก ๐‘‡๐‘œ๐‘ก๐‘Ž๐‘™ ๐น๐‘–๐‘™๐‘™ = ๐‘‡๐‘œ๐‘ก๐‘Ž๐‘™ ๐ธ๐‘ฅ๐‘๐‘Ž๐‘ฃ๐‘Ž๐‘ก๐‘–๐‘œ๐‘› โˆ’ ๐ต๐‘ข๐‘–๐‘™๐‘‘๐‘–๐‘›๐‘” ๐‘‰๐‘œ๐‘™๐‘ข๐‘š๐‘’ โˆ’ ๐น๐‘œ๐‘œ๐‘ก๐‘–๐‘›๐‘” ๐‘‰๐‘œ๐‘™๐‘ข๐‘š๐‘’ = 504 โˆ’ 256.47 โˆ’ 12.3 = 235.23 ๐‘š3 W Pf Pf D

W= Building Width in X or Y direction Pf , Pb = Projection of footing and blinding D=Depth of Fill Pb 10.00 m BASEMENT AREA 8 .0 0 m 14.00 m 12 .0 0 m ๐‘ƒ๐‘“= 1.5โˆ’.3 2 = 0.6 ๐‘š , ๐‘ƒ๐‘ = 1.7โˆ’.3 2 = 0.7 ๐‘š Backfill Building Volume

Backfill Side-view Section

Backfill Plan Section

Continuous Foot E xt erior Wal l E xt erior Wal l Continuous Foot Df Db

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26

Backfilling the Continuous Foundations

There are two ways in which the quantity of backfill can be determined. Both will yield virtually the same answer. The first is to subtract the area of the footing from the area backfill and multiply that number by the length of the footing. Alternately, the area of backfill can be calculated by figuring the area of backfill and multiplying that amount by the length.

Keep in mind that the material being brought in is loose and will be compacted on the job. If it is calculated that 100 m3 are required, the contractor will have to haul in at least 110 to 140 m3 of soilโ€” even more if it is clay or loam.

0.4 m0.4 0.4 m 0.1 m0.1 0.1 m 1.00 m 1.50 m 0.5 m 0.5 m 0.5 m 0.5 m 1.50 m 1.00 m

Average Width of Cut = 3.5 m Method 1 ๐‘‰๐‘œ๐‘™๐‘ข๐‘š๐‘’ ๐‘œ๐‘“ ๐ถ๐‘œ๐‘›๐‘ก๐‘–๐‘›๐‘ข๐‘œ๐‘ข๐‘  ๐น๐‘œ๐‘œ๐‘ก๐‘–๐‘›๐‘” ๐ถ๐‘ข๐‘ก = 3.5 ร— 1.5 ร— 88.75 = 465.9375๐‘š3 ๐‘‰๐‘œ๐‘™๐‘ข๐‘š๐‘’ ๐‘œ๐‘“ ๐ถ๐‘œ๐‘›๐‘๐‘Ÿ๐‘’๐‘ก๐‘’ = ๐ต๐‘™๐‘–๐‘›๐‘‘๐‘–๐‘›๐‘” ๐‘‰๐‘œ๐‘™๐‘ข๐‘š๐‘’ + ๐น๐‘œ๐‘œ๐‘ก๐‘–๐‘›๐‘” ๐‘‰๐‘œ๐‘™๐‘ข๐‘š๐‘’ + ๐‘Š๐‘Ž๐‘™๐‘™ ๐‘‰๐‘œ๐‘™๐‘ข๐‘š๐‘’ = 1.7 ร— 0.1 ร— 88.75 + 1.5 ร— 0.4 ร— 88.75 + 0.3 ร— 1.0 ร— 88.75 = 94.9625๐‘š3 ๐‘‰๐‘œ๐‘™๐‘ข๐‘š๐‘’ ๐‘œ๐‘“ ๐ต๐‘Ž๐‘๐‘˜๐‘“๐‘–๐‘™๐‘™ = ๐ถ๐‘ข๐‘ก ๐‘‰๐‘œ๐‘™๐‘ข๐‘š๐‘’ โˆ’ ๐ถ๐‘œ๐‘›๐‘๐‘Ÿ๐‘’๐‘ก๐‘’ ๐‘‰๐‘œ๐‘™๐‘ข๐‘š๐‘’ ๐‘‰๐‘œ๐‘™๐‘ข๐‘š๐‘’ ๐‘œ๐‘“ ๐ต๐‘Ž๐‘๐‘˜๐‘“๐‘–๐‘™๐‘™ = 465.9375 โˆ’ 94.9625 = 370.975๐‘š3 0.3 m 1.5 m 0.4 m 0.1 m 1.00 m 1.50 m 0.5 m 0.5 m 0.5 m 0.5 m 1.50 m 1.00 m

Average Width of Cut = 3.5 m

Backfill Backfill Area 1 Area 2 Area 3 Area 4 Method 2 ๐‘‰๐‘œ๐‘™๐‘ข๐‘š๐‘’ ๐‘œ๐‘“ ๐ต๐‘Ž๐‘๐‘˜๐‘“๐‘–๐‘™๐‘™ = 2 ร— (๐ด๐‘Ÿ๐‘’๐‘Ž 1 + ๐ด๐‘Ÿ๐‘’๐‘Ž 2 + ๐ด๐‘Ÿ๐‘’๐‘Ž 3 + ๐ด๐‘Ÿ๐‘’๐‘Ž 4) ร— ๐ฟ๐‘’๐‘›๐‘”๐‘กโ„Ž ๐‘œ๐‘“ ๐ถ๐‘ข๐‘ก ๐‘‰๐‘œ๐‘™๐‘ข๐‘š๐‘’ ๐‘œ๐‘“ ๐ต๐‘Ž๐‘๐‘˜๐‘“๐‘–๐‘™๐‘™ = 2 ร— (0.5 ร— 1 ร— 1.5 + 0.4 ร— 1.5 + 0.1 ร— 1.4 + 0.6 ร— 1) ร— 88.75 = 370.975๐‘š3

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28

2.6 Concrete Works (ุฉู†ุงุณุฑุฎู„ุง ู„ุงู…ุนุฃ)

The concrete for a project may be either ready mixed or mixed on the job.

When estimating footings, columns, beams, and slabs, their volume is determined by taking the linear dimension of each item times its cross-sectional area.

The procedure that should be used to estimate the concrete on a project is as follows:

1. Review the specifications to determine the requirements for each area in which concrete is used separately (such as footings, floor slabs, and walkways) and list the following:

(a) Type of concrete (b) Strength of concrete (c) Color of concrete

(d) Any special curing or testing

2. Review the drawings to be certain that all concrete items shown on the drawings are covered in the specifications. 3. List each of the concrete items required on the project.

4. Determine the quantities required from the working drawings. Footing sizes are checked on the wall sections and foundation plans. Watch for different size footings under different walls.

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29

Examples

Use the following building plan and cross-sections to calculate the concrete contained in the following items:

a. Blinding (ุฉูุงุธู†ู„ุง ุฉุจุต)

b. Continuous and Spread Footings (ุฉู„ุตูู†ู…ู„ุง ูˆ ุฉุฑู…ุชุณู…ู„ุง ุชุงุณุงุณู„ุฃุง), and Grade Beams (ุฉูŠุถุฑู„ุฃุง ุฑูˆุณุฌู„ุง) c. Retaining and Bearing Walls (ุฉู„ู…ุงุญู„ุง ูˆ ุฉูŠุฏุงู†ุชุณู„ุฅุง ู†ุงุฑุฏุฌู„ุง), and Columns (ุฉุฏู…ุนู„ุฃุง)

d. Basement and Ground Floorings (ุฉูŠุถุฑู„ุฃุง ุชุงุฏู…ู„ุง) e. Staircases (ุฌุงุฑุฏู„ุฃุง)

f. Solid and Ribbed Slabs (ุจุงุตุนู„ุฃุงุชุงุฏู‚ุน ูˆุฃ ุฉุชู…ุตู…ู„ุง ุชุงุฏู‚ุนู„ุง)

1 A 12.00 m 10.00 m 4.00 m 2 3 4 5.00 m 5 BASEMENT AREA 8 .0 0 m 7 .5 0 m B 3 .0 0 m C D 1 2 3 4 5 12.00 m 10.00 m 4.00 m 5.00 m A B C D 8 .0 0 m 7 .5 0 m 3 .0 0 m 1 1 1 1 F1 F1 F1 T T

BuildingFootingsโ€™ Plan

0.3 m 1.5 m 0.4 m 0.1 m 0.1 m Section (1-1) F1 Detail Footing 1 1.5 m 0.4 m 0.1 m 0.3 m 0.3 m 0.3 m 0.3 m C1 0.3 m 0.4 m Section (T-T) 1.5 m Cross-Sections of Footings

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30 2.6.1 Blinding (ุฉูุงุธู†ู„ุง ุฉู†ุงุณุฑุฎ) Measured in m2 ๐ต๐‘™๐‘–๐‘›๐‘‘๐‘–๐‘›๐‘” ๐‘œ๐‘“ ๐‘๐‘œ๐‘›๐‘ก๐‘–๐‘›๐‘ข๐‘œ๐‘ข๐‘  ๐น๐‘œ๐‘œ๐‘ก๐‘–๐‘›๐‘” (1 โˆ’ 1) = ๐‘Š๐‘–๐‘‘๐‘กโ„Ž ร— ๐ฟ๐‘’๐‘›๐‘”๐‘กโ„Ž = 1.7 ร— (12 + 10 + 4 + 8 + 5 + 7.5 + 3 + 5 + 4 + 3 + 10 + 3 + 12 + 18.5 + 8 + 10 + 8 โˆ’ 1.7) = 219.81 ๐‘š2 ๐ต๐‘™๐‘–๐‘›๐‘‘๐‘–๐‘›๐‘” ๐‘œ๐‘“ ๐‘†๐‘–๐‘›๐‘”๐‘™๐‘’ ๐น๐‘œ๐‘œ๐‘ก๐‘–๐‘›๐‘”๐‘  (๐น1) = ๐‘Š๐‘–๐‘‘๐‘กโ„Ž ร— ๐ฟ๐‘’๐‘›๐‘”๐‘กโ„Ž ร— ๐‘๐‘ข๐‘š๐‘๐‘’๐‘Ÿ = 1.7 ร— 1.7 ร— 3 = 8.67 ๐‘š2 ๐ต๐‘™๐‘–๐‘›๐‘‘๐‘–๐‘›๐‘” ๐‘œ๐‘“ ๐บ๐‘Ÿ๐‘Ž๐‘‘๐‘’ ๐ต๐‘’๐‘Ž๐‘š (๐‘‡ โˆ’ ๐‘‡) = ๐‘Š๐‘–๐‘‘๐‘กโ„Ž ร— ๐ฟ๐‘’๐‘›๐‘”๐‘กโ„Ž = 0.5 ร— (7.7 + 10.2 + 11.4 + 4.7 + 7.7) = 20.85 ๐‘š2 ๐‘ป๐’๐’•๐’‚๐’ ๐‘ฉ๐’๐’Š๐’๐’…๐’Š๐’๐’ˆ ๐‘จ๐’“๐’†๐’‚ = 219.81 + 8.67 + 20.85 = 249.33 ๐‘š2 C o lu m n

Blinding (ุฉูุงุธู†ู„ุง ุฉุจุต)

Width Length Width Length Length Width

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31 2.6.2 Concrete of Footings (ุชุงุณุงุณู„ุฃุง ุฉู†ุงุณุฑุฎ) Measured in m3 ๐ถ๐‘œ๐‘›๐‘ก๐‘–๐‘›๐‘ข๐‘œ๐‘ข๐‘  ๐น๐‘œ๐‘œ๐‘ก๐‘–๐‘›๐‘” (1 โˆ’ 1) = ๐‘Š๐‘–๐‘‘๐‘กโ„Ž ร— ๐ท๐‘’๐‘๐‘กโ„Ž ร— ๐ฟ๐‘’๐‘›๐‘”โ„Ž๐‘ก = 1.5 ร— 0.4 ร— (12 + 10 + 4 + 8 + 5 + 7.5 + 3 + 5 + 4 + 3 + 10 + 3 + 12 + 18.5 + 8 + 10 + 8 โˆ’ 1.5) = 78.42 ๐‘š3

If step footing is used, then add

= 1.5 ร— 0.4 ร— (๐ท๐‘–๐‘“๐‘“๐‘’๐‘Ÿ๐‘’๐‘›๐‘๐‘’ ๐‘œ๐‘“ ๐‘’๐‘ฅ๐‘๐‘Ž๐‘ฃ๐‘Ž๐‘ก๐‘–๐‘œ๐‘› ๐‘’๐‘™๐‘’๐‘ฃ๐‘Ž๐‘ก๐‘–๐‘œ๐‘›๐‘  ๐‘๐‘’๐‘ก๐‘ค๐‘’๐‘’๐‘› ๐‘กโ„Ž๐‘’ ๐‘”๐‘Ÿ๐‘œ๐‘ข๐‘›๐‘‘ ๐‘“๐‘™๐‘œ๐‘œ๐‘Ÿ ๐‘Ž๐‘›๐‘‘ ๐‘๐‘Ž๐‘ ๐‘’๐‘š๐‘’๐‘›๐‘ก ๐‘“๐‘™๐‘œ๐‘œ๐‘Ÿ) ร— 2

๐‘†๐‘–๐‘›๐‘”๐‘™๐‘’ ๐น๐‘œ๐‘œ๐‘ก๐‘–๐‘›๐‘” (๐น1) = ๐‘Š๐‘–๐‘‘๐‘กโ„Ž ร— ๐ท๐‘’๐‘๐‘กโ„Ž ร— ๐ฟ๐‘’๐‘›๐‘”โ„Ž๐‘ก ร— ๐‘๐‘ข๐‘š๐‘๐‘’๐‘Ÿ = 1.5 ร— 0.4 ร— 1.5 ร— 3 = ๐‘š3

๐บ๐‘Ÿ๐‘Ž๐‘‘๐‘’ ๐ต๐‘’๐‘Ž๐‘š (๐‘‡ โˆ’ ๐‘‡) = ๐‘Š๐‘–๐‘‘๐‘กโ„Ž ร— ๐ท๐‘’๐‘๐‘กโ„Ž ร— ๐ฟ๐‘’๐‘›๐‘”โ„Ž๐‘ก = 0.3 ร— 0.4 ร— (7.7 + 10.2 + 5.7 + 5.7 + 4.7 + 7.7) = ๐‘š3

*When ordering concrete to the project site, add 5% to the calculated volumes for waste and round off. C o lu m n Width Length Length Width Width Length Depth Depth Depth

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32

Concrete of Walls and Columns: (ุฉุฏู…ุนู„ุฃุง ูˆ ู†ุงุฑุฏุฌู„ุง ุฉู†ุงุณุฑุฎ) Measured in m3

a. Retaining Walls of the Basement

b. Bearing Walls outside the Basement

c. Shear Walls of the Staircases

d. Columns

Concrete of Floors: (ุฉูŠุถุฑู„ุฃุง ุชุงุฏู…ู„ุง ุฉู†ุงุณุฑุฎ) Measured in m2

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33

2.6.3 Concrete of Slabs(ุชุงุฏู‚ุนู„ุง ุฉู†ุงุณุฑุฎ)

Measured in m3

One Way Ribbed Slab

A 10.00 m 4.00 m 2 3 4 5.00 m 5 8 .0 0 m 7 .5 0 m B 3 .0 0 m C D 1 2 3 4 5 12.00 m 10.00 m 4.00 m 5.00 m A B C D 8 .0 0 m 7 .5 0 m 3 .0 0 m

Ground Floor Slab Staircase Area TB CR TB B1 B1 CR CR B2 B2 B3 B3 TB TB TB TB TB TB TB TB TB TB TB TB TB TB TB B5 B5 B4 B4 B1 B1 20 cm Solid Slab CR CR CR CR CR CR CR CR CR 0.36 m 0.60 m TB CR B2 B1 Ribbed Slab 0.31 m 0.12 m 0.24 m 0.40 m 0.40 m 0.40 m 0.31 m 0.40 m 0.60 m 0.30 m 0.31 m 0.20 m Beams

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34 Find concrete volume for the following types of slabs: (A) Solid Slab. (B) One-way Ribbed Slab

Item No.

Work Description Unit Dimensions No. Total

Quantity

Notes Length Width Height

1 Solid Slab m3 4.4 3.7 0.20 1 3.256 Basement Slab (A)

2 One-way Ribbed Slab m3 1.3 10 0.31

7.4 13.7 0.31

5.9 9.9 0.31

2.1 5.9 0.31 57.406

Reduce bricks volume 38x18 (B)

16x13 (C)

15x17 (D)

7x10 (E)

Total volume of Bricks= No. 0.2 0.38 0.24 1217 -22.198 B,C,D, and E

Total Concrete Volume= m3 35.208

36 cm 40 cm 14 cm, 18 cm, or 24 cm 20 cm

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35

2.7 Steel Reinforcement(ุญูŠู„ุณุชู„ุง ุฏูŠุฏุญ ู„ุงู…ุนุฃ)

The reinforcing used in concrete may be reinforcing bars, welded wire mesh (WWF), or a combination of the two.

Size (mm) 6 8 10 12 14 16 18 20 Area (mmยฒ) 28.3 50.3 78.5 113.0 153.96 201.0 254.0 314.0 Weight (kg per m) 0.222 0.395 0.617 0.888 1.209 1.58 2.00 2.47 Size (mm) 22 25 28 32 36 40 45 50 Area (mmยฒ) 381.0 491.0 616.0 804.0 1020.0 1257.0 1509.0 1963.0 Weight (kg per m) 2.98 3.85 4.83 6.31 7.99 9.86 12.50 15.41

Unit weight of standard reinforcing steel bars

๐‘ˆ๐‘›๐‘–๐‘ก ๐‘Š๐‘’๐‘–๐‘”โ„Ž๐‘ก ๐‘œ๐‘“ โˆ… ๐ต๐‘Ž๐‘Ÿ = โˆ…

2

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36

Example:

Find reinforcement bars quantities and weight for the following items: 1. Footings. 2. Walls. 3. Columns. 4. Slabs

Item Work Description Reinforcement

Bar Shape Bars Length

Number of Bars Total Length Weight per 1 m.r Total Weight 1.1 Footing 2 (3.8-.08+0.6-.08)x2+.2=7.24 (2.9-.08)/.15+1=20 20x1=20 144.8 0.888 128.6 kg (2.9-.08+0.6-.08)x2+.2=6.88 (3.8-.08)/.15+1=26 26x1=26 178.9 0.888 158.8 kg 1.2 Continuous footing section 1-1 (30 m) 6 30/(6-50x.012)=5.5 5x12=60 360 0.888 319.7 kg 30-(5.4x5)=3 m 3+0.6=3.6 m 12 43.2 0.888 38.4 kg (1.2-.08+.6-.08)x2 +.2 = 3.5 m 30/.2=150 525 0.888 466.2 kg 2. Walls (length 30 m x height 4 m x thickness 0.3 m) 4 +.55+.6 =5.15 2x 30/.2=300 1545 0.888 1,372.0 kg 6 2 x (4/.2 +1)=42 42x5.5= 231 1386 0.888 1,230.8 kg 3. Columns C1 (height 4 m, 2 columns) 4+.55+.6=5.15 10x2= 20 1.58 C1 Stirrups (.45+.25)x2+.1= (.15+.25)x2 +.1= 4/.15= 0.617 ร˜12 ร˜12 ร˜12 Vertical ร˜12 Horizontal 10ร˜16 Vertical

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37 (.45+.13)x2 +.1= 4. Slabs Solid Slab 3.1+.3+.12+.12= 3.8+.3+.12+.12= 2x 3.8/.15= 2x 3.1/.15= 0.888 Ribbed Slab (B,C) 10-.3+.1+.1= 10+3.7-.3+.1+.1= 2 x 4 = 2 x 12 = 0.617

Ribbed Slab (D,E) B1 B2 B4 CR DR ร˜12 Horizontal 10ร˜ 2ร˜10 T 10ร˜ 2ร˜14 T 2ร˜12 B 10ร˜ 2ร˜14 B 2ร˜12 B

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38 Assume concrete covering is 4cm.

Assume the length of continuous footing is 30 m.

Assume required reinforcement overlapping equals 50 times the

bar diameter.

For ร˜12mm it equals 0.60 m.

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39 2.8 Plastering (ุฉุฑุงุตู‚ู„ุง ู„ุงู…ุนุฃ) / ุฉุณุฏู†ู‡ู„ุง ุฉูŠู„ูƒ ู‰ู†ุจู… :ุนูˆุฑุดู…ู„ุง ุฉู†ูˆุชูŠุฒู„ุง ุฉุนู…ุงุฌ ุบู„ุจู…ู„ุง ุฑุนุณู„ุง ุฉูŠู…ูƒู„ุง ุฉุฏุญูˆู„ูŠูƒู„ุง ู„ู…ุนู„ุง ุนูˆู† ู…ู‚ุฑู„ุง ุฑุงู†ูŠุฏ ุณู„ู ุฑุงู†ูŠุฏ ุณู„ู :ุฉุฑุงุตู‚ู„ุง ู„ุงู…ุนุฃ :ุฉู…ุฏู‚ู… ุงูŠุงูˆุฒู„ุง ูˆ ุญุฆุงุฑุดู„ุง ุนุงูุชุฑุง ุฉุฑุงุตู‚ู„ุง ุฏู†ุจ ูŠู ุฉู„ู…ุนุชุณู…ู„ุง ุฉูŠู†ุฏุนู…ู„ุง ุกุงู‚ุชู„ุง ุฉู„ุงุญ ูŠู ุถุฑุนู„ุง ู„ู…ุงูƒุจ ูˆุฃ ู‚ุจุงุทู„ุง ุนุงูุชุฑุง ู„ู…ุงูƒุจ ู†ูˆูƒุช ู„ุงุญ ูŠู ูˆ ุฉูŠู†ุงุณุฑุฎู„ุง ุฑูˆุณุฌู„ุง ูˆ ูู‚ุณู„ุงุจ ุจูˆุทู„ุง ู†ุงุฑุฏุฌ .ุทู…ู‚ู„ุง ู„ูˆุท ู„ู…ุงูƒุจ ู†ูˆูƒุช ุจูˆุทู„ุง ู†ุงุฑุฏุฌ ูˆ ุญุฆุงุฑุดู„ุง ู„ุงู…ุนุชุณุง 4 ุงูุงุถู… ู„ู…ุฑู„ุง ูˆ ุชู†ู…ุณู„ุฅุง ุฉู†ูˆู… ู†ู… ุฉูŠุชู†ู…ุณุฅ ุฉุฑุงุตู‚ ู„ู…ุน ูˆ ู…ูŠุฏู‚ุช ุฏู†ุจู„ุง ุจุณุญ ุฉุนูŠู…ู…ู„ุง ุฏุงูˆู…ู„ุง ุงู‡ูŠู„ุฅ 702 / 1 ุงูŠุงูˆุฒู„ุง ู„ู…ุดูŠ ุฑุนุณู„ุง ูˆ ูˆ ุฉูŠู†ุฏุนู…ู„ุง ุญุฆุงุฑุดู„ุง ูˆ ุฉูŠุฌุฑุงุฎู„ุง ูˆ ุฉูŠู„ุฎุงุฏู„ุง ุงูŠุงูˆุฒู„ู„ ุฉูŠู†ุฏุนู…ู„ุง ุฏู†ุจู„ุง ุจุณุญ ุฉุฑุงุตู‚ู„ุง ูู‚ูˆุช ุงูŠุงูˆุฒ 702 / 1 : ูˆ/ 4 / 1 ุนุจุฑู… ุฑุชู… ู…ุฒู„ูŠ ุงู…ุซูŠุญ ูˆู†ุงุฑุฏุฌู„ุง ูˆ ูู‚ุณู„ุฃู„ ุฉูŠู„ุฎุงุฏ ุฉุฑุงุตู‚ ู‡ูˆุฌูˆ ุฉุซู„ุงุซ ุฏู†ุจู„ุง ุจุณุญ 702 ุฏู†ุจู„ุง ุจุณุญ ู„ูŠูƒู„ุง ูˆ 711 / 1 ุชุงุญู„ุงุณ ู„ุงูƒุช ูˆ .ุฉูŠู„ุฎุงุฏ ุฉุฑุงุตู‚ ูƒูŠุจุงุจุดู„ุง ุฃ ู„ุง ุฉุฑุงุนุชุณู… ูู‚ุณุฃ ู‰ู„ุน ูŠูˆุชุญุช ูŠุชู„ุง ูู‚ุณู„ุฃุง :ุฉู…ุงู‡ ุฉุธุญู„ุงู… ู„ูˆุงู‚ู…ู„ุง ู†ู… ุจู„ุทูŠ ุงู‡ุชุฑุงุตู‚ ุนุจุฑู… ุฑุชู… ูˆ ุฒูŠุฑุจุด ุฉุดุฑ ุนุจุงุฑู„ุง ู‡ุฌูˆู„ุง ุŒู‡ูˆุฌูˆ ุฉุนุจุฑุฃ ุฉูŠุฌุฑุงุฎ ุฉุฑุงุตู‚ ุจุณุญ ูƒู„ุฐ ูˆ ุณุฏู†ู‡ู…ู„ุง ุงู‡ุฏุฏุญูŠ ูŠุชู„ุง ุฉุดู‚ู†ู„ุง ูˆ ู†ุงูˆู„ู„ุฃุง ุฏู†ุจู„ุง ุจุณุญ ูˆ ู…ุฒู„ูŠ ุงู…ุซูŠุญ ูˆ ุชุงู†ูŠูˆุตุชู„ู„ 705 ุจุณุญ ู„ูŠูƒู„ุง ูˆ ุฏู†ุจู„ุง 711 / 3 ุงู… ู„ูƒ ูˆ ุดู†ู„ู„ ุฉุนู†ุงู… ุฏุงูˆู… ุฉูุงุถุฅ ู„ู…ุดูŠ ุฑุนุณู„ุง ูˆ ู„ู…ุนู„ุง ุกุงู‡ู†ู„ุฅ ุฉู„ู…ุงุน ูŠุฏูŠุฃ ูˆ ุชู„ุงุงู‚ุณ ูˆ ุชุงูˆุฏุฃ ูˆ ุฏุงูˆู… ู†ู… ู…ุฒู„ูŠ .ุณุฏู†ู‡ู…ู„ุง ุฉู‚ูุงูˆู…ุจ ูˆ ู‡ุฌูˆ ู„ู…ูƒุฃ ู‰ู„ุน ุจ -ุนุจุฑู… ุฑุชู… ุฉูŠุฌุฑุงุฎ ุฉุฑุงุตู‚ ู†ูƒู„ ูˆ .ุฉุฑุงุตู‚ู„ุง ู„ุงู…ุนุฃ ู†ู… 1/4 ู…ู‚ุฑ ุฏู†ุจู„ุงูƒ )ุฉูŠุจุฑุน ุฉุฑุงุตู‚( .ู…ู…ุท ุงู‡ูู„ุฎ ูŠุชู„ุง ู†ุงุฑุฏุฌู„ู„ ู‡ูˆุฌูˆ ุฉุซู„ุงุซ 4 / 2 711 ุฑุงุนุณู„ุฃุง ุฉูŠู„ูˆู…ุด ูˆ ู„ูŠูƒู„ุง 711 / 1 ุชุงุญู„ุงุณ ุชุงุญุงุณู… ูุงุถุช ูˆ ุŒ ุงูŠุณุฏู†ู‡ ู„ุงูŠูƒ ุนุจุฑู…ู„ุง ุฑุชู…ู„ุงุจ ุฉูŠุฌุฑุงุฎู„ุง ูˆ ุฉูŠู„ุฎุงุฏู„ุง ุฉูŠุชู†ู…ุณู„ุฃุง ุฉุฑุงุตู‚ู„ุง ู„ุงูƒุช ุดู„ุง ูˆ ุจุงูˆุจู„ุฃุง ูƒูŠุจุงุจ ู†ุน ุงู‡ู†ู… ูŠุฃ ุฉุญุงุณู… ุฏูŠุฒุช ูŠุชู„ุง ุชุงุญุชูู„ุง ูˆ ุจุงูˆุจู„ุฃุง ูˆ ุฐูุงูˆู†ู„ุง ู„ุซู… ุชุงุบุงุฑูู„ุง ู…ุณุญุช ูˆ ุŒุชุงุฒูˆุฑุจู„ุง ูˆ 0.5 ู„ุงู…ุงุด ุฑุนุณู„ุง ู†ูˆูƒูŠ ูˆ .ุนุจุฑู… ุฑุชู… .ูุงูˆุญู„ู„ ุฉูˆู„ุงุน ุฉูŠุฃ ู†ูˆุฏุจ ุชู„ุงุงู‚ุณู„ุง ูˆ ุฉุฑุงู‡ุธู„ุง ูˆ ุฉู†ุงุทุจู„ุง ูˆ )ุฑุงู…ุณู…ู„ุง( ุฉุดุทุฑุทู„ุง ุทุฑู„ู„ ุฉุนู†ุงู…ู„ุง ุฉุฑุงุตู‚ู„ุง ูˆ ุฒูŠุฑุจุดู„ุง ุฉุฑุงุตู‚ู„ ู„ุซู…ู„ุง ูŠู†ุฏุนู…ู„ุง ูƒุจุดู„ุง ุฉุฑุงุตู‚ ูˆ ุฉุจูˆ 711 / 6 ูŠู„ูˆุทู„ุง ุฑุชู…ู„ุงุจ ุชุงูŠุงู‡ู†ู„ุง ูˆ ูุงูˆุญู„ุง ูˆ ุงูŠุงูˆุฒู„ุง ูˆ ู†ุงุฑุฏุฌู„ุง ู„ุงุตุชุง ู‚ุทุงู†ู… ูˆ ุชุงุฏูŠุฏู…ุชู„ุง ู‚ูˆู ู†ุงุจุถู‚ู„ุง ูˆ ุฉูŠูƒุจุดู„ุง ุญุฆุงุฑุดู„ุง ู„ุงูƒุช .ุชู„ุงุงู‚ุณู„ุง ูˆ ุชูŠุจุซุชู„ุง ูˆ ุฑูŠู…ุงุณู…ู„ุง ูˆ ุญุฆุงุฑุดู„ุง ู„ุงู…ุงุด ุฑุนุณู„ุง ู†ูˆูƒูŠ ูˆ ุŒุจูƒุงุฑุชู„ุง ู‚ุทุงู†ู… ุจุงุณุชุญุง ู†ูˆุฏุจ ุงูŠุณุฏู†ู‡ ู„ุงูŠูƒ -ู‡ ูŠุฑุทู„ุง ู‡ุฐ ูˆ ุงูŠุงูˆุฒู„ุง ู„ูˆู…ุดู„ ุฉุตุงุฎู„ุง ุชุงูุตุงูˆู…ู„ุง ูŠู ุฉูุตุงูˆู… ุฏูˆุฌูˆ ุจุจุณุจ ุนูˆุฑุดู…ู„ุง ูŠู ุงู‡ุจ ุฐุฎุคูŠ ู†ู„ ุฉู…ุงุนู„ุง ุชุงูุตุงูˆู…ู„ุง ูŠู ุฉู‚ .ุฉูŠุฏุงุนู„ุง ุฉุฑุงุตู‚ู„ุง ู†ู…ุถ ุฉูŠู†ุฏุนู…ู„ุง ุญุฆุงุฑุดู„ุง

(42)
(43)

41

Length

Width Height

ุฉุฑุงุตู‚ ุนุจุฑู… ุฑุชู…

7 ุณูŠุฑุฏุช ุฉูุฑุบ

1

1

8.35

2.91

24.2985

2

2

7.2

2.91

41.904

3

1

8.65

2.91

25.1715

ูƒุงุจุดู„ุง ุชุงุญู„ุงุณ

2

1.55

0.3

0.93

1

5

0.3

1.5

(ู…ุตุฎู„ุง)

ุจุงุจู„ุง

-1

1

2.1

-2.1

ูƒุงุจุดู„ุง

-1

5

1.55

-7.75

Total=

83.954

Note

Dimensions

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42 2.9 Bricks (ุจูˆุทู„ุง ู„ุงู…ุนุฃ) ุฉู†ูˆุชูŠุฒู„ุง ุฉุนู…ุงุฌ / ุฉุณุฏู†ู‡ู„ุง ุฉูŠู„ูƒ ู‰ู†ุจู… :ุนูˆุฑุดู…ู„ุง ุบู„ุจู…ู„ุง ุฑุนุณู„ุง ุฉูŠู…ูƒู„ุง ุฉุฏุญูˆ ู„ูŠูƒู„ุง ู„ู…ุนู„ุง ุนูˆู† ู…ู‚ุฑู„ุง ุฑุงู†ูŠุฏ ุณู„ู ุฑุงู†ูŠุฏ ุณู„ู ุจูˆุทู„ุง ู„ุงู…ุนุฃ ( Bricks ) : ู‡ุนูŠู†ุตุช ู…ุชูŠ ุจูˆู„ุทู…ู„ุง ุจูˆุทู„ุง :ุฉู…ุงู‡ ุฉุธุญู„ุงู… ู…ุงุฏุฎุชุณุงุจ ุฉูŠูƒูŠุชุงู…ูˆุชูˆุฃ ุณุจุงูƒู… 3 :ุนุจุฑู…ู„ุง ุฑุชู…ู„ุงุจ ุกุงู†ุจ ูˆ ู…ูŠุฏู‚ุช ุฏู†ุจ ุจุณุญ ูˆ )ุฃ( ูŠุฏุงุน ูู†ุต ุบุฑูู… ูŠู†ุงุณุฑุฎ ุจูˆุท ู†ุงุฑุฏุฌ 603 ู†ุน ู„ู‚ุช ู„ุง ุฑุณูƒ ุฉูˆู‚ ูˆ ุฉูŠุฏุงุน ุฉู†ุงุณุฑุฎ ุณุฏุงุณู„ุง ุจุงุจู„ุง 3.5 ู…ู„ู…/ู†ุชูˆูŠู† 2 ุฏุนุจ 28 ู…ูˆูŠ ุฏู†ุจ ุจุณุญ ู„ูŠูƒู„ุง ูˆ 620 / 1 ุฏู†ุจ ุจุณุญ ุฑุนุณู„ุง ุฉูŠู„ูˆู…ุด ูˆ 619 / 1 ุฏู†ุจ ุจุณุญ ุฉู†ูˆู…ู„ุง ูˆ 607 ุงุณุฑุฎ ู†ู… ุฉูŠู†ุงุณุฑุฎู„ุง ุชุงุณู„ุฌู„ุง ูˆ ุชุงุญู„ุงุณู„ุง ูˆ ุทูˆู…ู‚ู„ุง ู„ู…ุน ู„ู…ุดูŠ ุฑุนุณู„ุง ูˆ ู† ุฉ ( ุฉุฌุฑุฏ 20 ุชุงูˆู„ุงุน ูŠุฃ ู†ูˆุฏุจ ูˆ ุญูŠู„ุณุชู„ุง ุฏูŠุฏุญ ู„ุงู…ุงุด ) 3 / 1 ู… 2 ุฉูƒุงู…ุณ 10 ู…ุณ -ุฃ ู… 2 ุฉูƒุงู…ุณ 15 ู…ุณ -ุจ ู… 2 ุฉูƒุงู…ุณ 20 ู…ุณ -ุฌ ู… 2 ุฏู†ุจ ุชุงุจู„ุทุชู… ุจุณุญ ูˆ ุฌูˆุฏุฒู… ูŠู†ุงุณุฑุฎ ุจูˆุท ู†ู… ู†ุงุฑุฏุฌ 608 / 2 ุจุณุญ ุทุจุงุฑู…ู„ุง ูˆ ุฏู†ุจ 610 / 2 ุฏู†ุจ ุจุณุญ ู„ูŠูƒู„ุง ูˆ ุฃ/ 620 / 1 ูˆ ุฏู†ุจ ุจุณุญ ุฑุนุณู„ุง ุฉูŠู„ูˆู…ุด 619 / 1 ู†ู… ุณุฏุงุณู„ุง ุจุงุจู„ุง :ู„ ูƒู„ุฐ ูˆ . ุฃ-( ุณุงูŠู‚ ุฌูˆุฏุฒู… ุจูˆุท 10 + 10 + ุบุงุฑู 10 ู…ุณ ) ุฏ -ู… 2 :ุนุจุฑู…ู„ุง ุฑุชู…ู„ุงุจ ุกุงู†ุจ ูˆ ู…ูŠุฏู‚ุช ุจุณุญ ูˆ ู…ู…ุท ุงู‡ูู„ุฎ ูŠุชู„ุง ู†ุงุฑุฏุฌู„ู„ ุชู…ุตู… ูŠุชู†ู…ุณุง ุจูˆุท ู†ุงุฑุฏุฌ ุชุงุจู„ุทุชู… 603 / 3 ุฏู†ุจ ุจุณุญ ู„ูŠูƒู„ุง ูˆ ุณุฏุงุณู„ุง ุจุงุจู„ุง ู†ู… ุฌ/ 620 / 1 ุฑุนุณู„ุง ุฉูŠู„ูˆู…ุด ูˆ ุฏู†ุจ 619 / 1 ( ุฉูƒุงู…ุณ .ุณุฏุงุณู„ุง ุจุงุจู„ุง ู†ู… 10 ู…ุณ ) 3 / 2 ุฏุฏุน :ุฏุฏุนู„ุงุจ ุฏู†ุจ ุจุณุญ ูˆ ุชุงุฏู‚ุนู„ู„ ุบุฑูู… ุจูˆุท ูุต ูˆ ู…ูŠุฏู‚ุช 325 / 1 ุฏู†ุจ ุจุณุญ ู„ูŠูƒู„ุง ูˆ 327 / 6 ุฏู†ุจ ุจุณุญ ุฑุงุนุณู„ุฃุง ุฉูŠู„ูˆู…ุด ูˆ 328 / 6 ู„ุงู…ุนุชุณุง ู‰ู„ุฅ ุฉูุงุถู„ุฅุงุจ ุซู„ุงุซู„ุง ุจุงุจู„ุง ู†ู… ุณุงูŠู‚ .ุจู†ุงูˆุฌู„ู„ ุฏูˆุฏุณู… ุจูˆุท 36 / 40 x 20 x 30 .ู…ุณ) 3 / 3 ู… 3 :ุจุนูƒู…ู„ุง ุฑุชู…ู„ุงุจ ู†ูŠุฑุชุณูŠู„ูˆุจ ุชุงูƒูˆู„ุจ ุจูŠูƒุฑุช ูˆ ู…ูŠุฏู‚ุช ุฏู‚ุนู„ ูŠู†ุงุณุฑุฎู„ุง ุจูˆุทู„ุง ู„ุฏุจ ุฉูŠุฏูˆุนุณ ุฉุนุงู†ุต ุฉ ู‰ู„ุน ุฉุญุถูˆู…ู„ุง ูˆ ูŠุถุฑู„ุฃุง ู‚ุจุงุทู„ุง ุฉุฏู‚ุน ู†ู…ุถ ุถุงุฑุบู„ุฃุง ุฉุฏุฏุนุชู…ู„ุง ุฉุนุงู‚ู„ุง ุฉูุงุซูƒ ุชุงุทุทุฎู…ู„ุง 25 ู…/ู…ุบูƒ 3 ู…ุฏุน ู†ู…ุถูŠ ู„ูƒุดุจ ู†ูŠุฑุชุณูŠู„ูˆุจู„ุง ุชูŠุจุซุช ุฑุนุณู„ุง ู„ู…ุดูŠ ูˆ ูˆ ุชุงูุตุงูˆู…ู„ุง ูˆ ุชุงุทุทุฎู…ู„ุง ุจุณุญ ูˆ ู…ุฒู„ูŠ ุงู… ู„ูƒ ู„ู…ุน ูˆ ุŒุจุตู„ุง ุกุงู†ุซุฃ ู‡ุชุญุงุฒุฅ ุฑุดู…ู„ุง ุณุฏู†ู‡ู…ู„ุง ุชุงู…ูŠู„ุนุช ู 3 / 4 619 ุฑุงุนุณู„ุฃุง ุฉูŠู„ูˆู…ุด 619 / 1 ุฏูŠุฑูˆุช ุซูŠุญ ู†ู… ุŒ ุฉูŠุนู†ุตู… ูˆ ุฏุงูˆู… ู†ู… ู…ุฒู„ูŠ ุงู… ู„ูƒู„ ุฉู„ู…ุงุด ุจูˆุทู„ุง ู†ุงุฑุฏุฌ ุกุงู†ุจ ู„ุงู…ุนู„ุฃ ุชุงูŠู…ูƒู„ุง ู„ูˆุฏุฌ ูŠู ุงู‡ูŠู„ุน ุตูˆุตู†ู…ู„ุง ุฉูŠุฏุฑูู„ุง ุฑุงุนุณู„ุฃุง ุฑุจุชุนุช ุง ุจูˆุทู„ ูˆ ุŒ ุทุจุงุฑู…ู„ุง ูˆ ุŒ ุทู„ุงู…ู„ุง ูˆ ุŒ ุชู„ุงุงู‚ุณู„ุง ูˆ ุŒ ุฉู„ู…ุงุนู„ุง ูŠุฏูŠู„ุฃุง ูˆ ุŒ ู‡ุจูŠูƒุฑุช ูˆ ุŒ ู‡ูŠู„ุน ุตูˆุตู†ู…ู„ุง ูู†ุตู„ุง ู†ู… ูˆ ู‡ุฌูˆ ู„ู…ูƒุฃ ู‰ู„ุน ู„ุงู…ุนู„ุฃุง ุฒุงุฌู†ู„ุฅ ู…ุฒู„ูŠ ุงู…ู… ูƒู„ุฐ ุฑูŠุบ .ุชุงูุตุงูˆู…ู„ุง ู‡ุฐู‡ ูŠู ุฏุฑูˆ ุงู…ุจุณุญ -ูˆุฏุฒู…ู„ุง ู†ุงุฑุฏุฌู„ุง ูŠู ุทุจุงุฑู…ู„ุง ู…ุงุฏุฎุชุณุง ู‰ู„ุน ูˆุฃ ุฉูŠู†ุงุณุฑุฎู„ุง ุชุงุฌุงู†ุดู„ุง ูˆุฃ ุชุงุญู„ุงุณู„ุง ูˆุฃ ุทูˆู…ู‚ู„ุง ู‰ู„ุน ุชุงูˆู„ุงุน ุฉุตุงุฎู„ุง ุชุงูุตุงูˆู…ู„ุง ูŠู ูƒุงู†ู‡ ู†ูˆูƒูŠ ุฏู‚ .ุฉุฌ 620 ู„ูŠูƒู„ุง 620 / 1 ุงุจ ุงูŠุณุฏู†ู‡ ู„ุงูŠูƒ ุจูˆุทู„ุง ู†ุงุฑุฏุฌ ู„ุงูƒุช ุฏูŠุฒุช ูŠุชู„ุง ุชุงุฑุบุซู„ุงูˆ ุŒุชุงุญุชูู„ุง ูˆ ุŒุชุงุบุงุฑูู„ุง ุนูŠู…ุฌ ู…ุณุญ ุฏุนุจ ุนู‚ูˆู…ู„ุงุจ ุงู‡ุคุงู†ุจ ู‰ุฑุฌ ูŠุชู„ุง ุชุงู‡ุฌุงูˆู„ุง ุนู‚ุงูˆู„ ุนุจุฑู…ู„ุง ุฑุชู…ู„ ( ู†ุน ุงู‡ุชุญุงุณู… 0.10 .ุทู‚ู ุฉุฏุญุงูˆ ุฉู‡ุฌ ู†ู… )ุฉุฌูˆุฏุฒู…ู„ุง( ุฉููˆุฌู…ู„ุง ู†ุงุฑุฏุฌู„ู„ ู„ูŠูƒู„ุง ู†ูˆูƒูŠ ู†ุฃ ู‰ู„ุน ุŒ ุงุนุจุฑู… ุงุฑุชู… ) ุชุงูˆู„ุงุน ุงู‡ู„ ูŠุชู„ุง ู„ุงู…ุนู„ุฃุง ู„ุงูƒุช ุŒุชุงูˆู„ุงุนู„ุง ุนูุฏ ุชุงูŠุงุบู„ .ูŠู„ูˆุทู„ุง ุฑุชู…ู„ุงุจ

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43

Length Width Height

ุจูˆุทู„ุง ู„ุงู…ุนุฃ 7 ุณูŠุฑุฏุช ุฉูุฑุบ ุบุฑูู… ูŠู†ุงุณุฑุฎ ุจูˆุท ู†ุงุฑุฏุฌ ุนุจุฑู… ุฑุชู… ู…ุณ 10 ุฉูƒุงู…ุณ Length= 1 1 7.35 3.18 23.373 2.2+3.35+2.65-0.5-0.35 (ูƒุงุจุดู„ุง ู…ุตุฎ) -1 5 -5 Hi ght= ุนูˆู…ุฌู…ู„ุง 18.373 3.56+0.22-0.6 ู…ุณ 15 ุฉูƒุงู…ุณ 2 1 7.35 3.18 23.373 L=7.2+.15 3 1 6.85 3.18 21.783 L=8.35+.15-.85-.8 4 1 6.95 3.18 22.101 L=7.2+.15-.35-.05 (ุจุงุจู„ุง ู…ุตุฎ) -1 1 2.1 -2.1 ุนูˆู…ุฌู…ู„ุง 65.157 )ุณุจุฑู„ุง ุจูˆุท( ุฉุฏู‚ุนู„ุง ุจูˆุท ุฏุฏุน 442 442 L of Rows=6.6+.75-.15-.15-.2=6.85โ‰ˆ6.8m

One-way Ribbed Slab N of Rows =13

N of Bl ocks i n 1m= 5 ุฉุณุฏู†ู‡ู„ุง ุฉุฏุงู…ุน ู‰ู†ุจู… ู„ุฎุฏู…

ุฉุฏู‚ุนู„ุง ุจูˆุท

Two-way Ribbed Slab ุฏุฏุน 480 480 N of Squa res = 15 x 16

N of Bl ock i n ea ch Squa re= 2

ุถุงุฑุบู„ุฃุง ุฉุฏุฏุนุชู… ุฉุนุงู‚ู„ุง

ุชุงุฏู‚ุนู„ู„ ู†ูŠุฑุชุณูŠู„ูˆุจ ุชุงูƒูˆู„ุจ ุจุนูƒู… ุฑุชู… 201.5 0.8 0.8 0.6 77.376 N=15.5 x 13

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46 2.10 Masonry Work (ุฉูŠุฑุฌุญู„ุง ู†ุงุฑุฏุฌู„ุง ู„ุงู…ุนุฃ) ุฉู†ูˆุชูŠุฒู„ุง ุฉุนู…ุงุฌ / ุฉุณุฏู†ู‡ู„ุง ุฉูŠู„ูƒ ู‰ู†ุจู… :ุนูˆุฑุดู…ู„ุง ุบู„ุจู…ู„ุง ุฑุนุณู„ุง ุฉูŠู…ูƒู„ุง ุฉุฏุญูˆ ู„ูŠูƒู„ุง ู„ู…ุนู„ุง ุนูˆู† ู…ู‚ุฑู„ุง ุฑุงู†ูŠุฏ ุณู„ู ุฑุงู†ูŠุฏ ุณู„ู ุฉูŠุฑุฌุญู„ุง ู†ุงุฑุฏุฌู„ุง ู„ุงู…ุนุฃ : ู… 2 :ุนุจุฑู…ู„ุง ุฑุชู…ู„ุงุจ ุณู†ุงุฌุชู… ูˆ ู‰ู„ูˆุฃ ุฉุฌุฑุฏ ุฃ ูู†ุต )ุณูŠุจู„ุช ูˆุฃ ุกุงู†ุจ( ุฉูŠุฑุฌุญ ู†ุงุฑุฏุฌ ุกุงู†ุจ ูˆ ู…ูŠุฏู‚ุช ( ุนุงูุชุฑุง ูƒูŠู…ุงุฏู… ู„ูˆุฃ ุจุฎู† ุถูŠุจุฃ )ู†ุงุนู… ุญุทุณ( ู†ุงุนู… ุฑุฌุญ ู†ู… ู†ุงูˆู„ู„ุฃุง 25 ู…ุณ ) ุฉูƒุงู…ุณุจ 5 ุฏู†ุจ ูŠู ุฉุฏุฑุงูˆู„ุง ุจูˆูŠุนู„ุง ู†ู… ู„ุงุฎ ู‚ุฏู„ุง ุฏุนุจ ู…ุณ 503 ุชุงุจู„ุทุชู… ุจุณุญ ูˆ ุฏู†ุจ 502 / 1 ุฏู†ุจ ุชุงุจู„ุทุชู… ุจุณุญ ุณู…ุงุฎู„ุง ุจุงุจู„ุง 505 ุŒ 504 / 1 ุŒ ุฃ/ 509 ุŒ 508 ุŒ 507 ุŒ ู†ุงูƒุณู„ุฅุง ูˆ ุฉู…ุงุนู„ุง ู„ุงุบุดู„ุฃุง ุฉุฑุงุฒูˆ ุชุงูุตุงูˆู… ู†ู… ุฉู†ูŠุนู„ุง ุจุณุญ ูˆ )ู…ุณู…ุณู… ูˆุฃ ุฉุจุทู… ูˆุฃ ุฑุฌูู…( ุชุงุทุทุฎู…ู„ุง ุจุณุญ ุฑุฌุญู„ุง ุฉุดู‚ู† ูˆ .ูุฑุดู…ู„ุง ุณุฏู†ู‡ู…ู„ุง ู†ู… ุฉุฏู…ุชุนู…ู„ุง ูˆ ุฉู…ุฏู‚ู…ู„ุง ุชุงุฏู‚ุนู„ุง ูˆุฃ ุฑูˆุณุฌู„ุง ุฉู†ุงุณุฑุฎ ูˆุฃ ุฉุฏู…ุนู„ุฃุง ุฉู†ุงุณุฑุฎ ุฑุนุณู„ุง ู„ู…ุดูŠ ู„ุงูˆ ุฉู†ุงุณุฑุฎ ูˆุฃ ู‡ุฐู‡ ู†ุฃ ุซูŠุญ ุฉุญู„ุณู…ู„ุง ู†ุงุฑุฏุฌู„ุง ุฉูˆู‚ู„ุง ุจุณุญ ูˆ ุฑุฌุญู„ุง ูู„ุฎ ุฉุนู‚ุงูˆู„ุง ู„ุงู…ุนู„ุฃุง .ู„ูˆุงุฏุฌู„ุง ู‡ุฐู‡ ู†ู… ูŠู†ุงุซู„ุง ู…ุณู‚ู„ุง ุฏูˆู†ุจ ูŠู ุฉุฏุฑุงูˆ ุชุงุทุทุฎู…ู„ุง ูŠู ุฉุจูˆู„ุทู…ู„ุง ู†ุน ู„ู‚ุช ู„ุง ุฑุณูƒ ุฉูˆู‚ุจ ุฑุฌุญู„ุง ูู„ุฎ ุฉุญูŠูุตุชู„ุง ุฉู†ุงุณุฑุฎ ุฑุนุณู„ุง ู„ู…ุดูŠ ูˆ 200 ู…ุณ/ู…ุบูƒ 2 ุฏุนุจ 28 .ู…ูˆูŠ ุฏู†ุจ ุชุงุจู„ุทุชู… ุจุณุญ ุฉู†ูˆู…ู„ุง ุงุถูŠุฃ ุฑุนุณู„ุง ู„ู…ุดูŠ ูˆ 506 ุฏู†ุจ ุจุณุญ ุฉู„ุญูƒู„ุง ูˆ 512 ุŒ ุฏู†ุจ ุจุณุญ ู„ูŠูƒู„ุง ูˆ 518 / 1 ุฏู†ุจ ุจุณุญ ุฑุนุณู„ุง ุฉูŠู„ูˆู…ุด ูˆ 517 / 1 ูˆ 517 / 2 ูˆ ุŒ ู…ู‚ุฑ ุฉูŠู†ุฏุฑู„ุฃุง ุฉูŠุณุงูŠู‚ู„ุง ุฉูุตุงูˆู…ู„ุง ุจุณุญ 851 ู…ุงุนู„ 1992 ุŒ ุทูˆุฑุดู„ุงุจ ุฉู‚ูุฑู…ู„ุง ู„ูˆุงู‚ู…ู„ู„ ู‚ุญูŠ ู„ุง ูˆ ู‡ุชู„ุงูŠูƒุดุช ูˆ ุฑุฌุญู„ุง ุชุงูˆู„ุงุน ุนูŠู…ุฌ ู„ู…ุดูŠ ุฑุนุณู„ุง ูˆ ุฉุตุงุฎู„ุง ุฌู„ ู„ุงู…ุงุด ู‡ุฑุนุณ ุฑุจุชุนูŠ ูˆ ุฉูŠูุงุถุฅ ุฑุงุนุณุฃ ูˆุฃ ุชุงูˆู„ุงุน ุฉูŠุฃุจ ุฉุจู„ุงุทู…ู„ุง ูƒู„ุช ุนูŠู… ู†ูˆุฏุจ ูˆ ุทู‚ู ุชุงู‡ุฌุงูˆู„ุง ุชุงุญุงุณู…ู„ ู„ูŠูƒู„ุง ูˆ .ุชู„ุงูŠูƒุดุชู„ุง ูˆ ุชุงูˆู„ุงุนู„ุง ุจุงุณุชุญุง ุชุงุทู…ู‚ ูˆ ุชุงุญู„ุงุณ ูˆ ุชุงุฒูˆุฑุจู„ุง ูˆ ุจู†ุงูˆุฌู„ุง ุงู‡ุฑูŠุบ ูˆ ุดูŠุทุงุฑุจ ูˆ ุทู‚ุณู…ู„ู„ ู„ูŠูƒู„ุง( .)ุฑุฌุญู„ุง ุชุงู‡ุฌุงูˆู„ ูŠู„ูˆู‚ุงุดู„ุง ( ุญูŠู„ุณุชู„ุง ุฏูŠุฏุญ ู†ูˆูƒูŠ :ุฉุธุญู„ุงู… WELDED MESH ) ( ุฑุทู‚ 6 /ู…ู„ู… ) 20 ู…ุณ ุณูŠุจู„ุช ู‚ุทุงู†ู…ู„ ุฑุฌุญู„ุง ูู„ุฎ ู†ูŠู‡ุงุฌุชู„ุงุงุจ ู†ูู„ุฌู…ู„ุง ุฏูŠุฏุญู„ุง ู†ู… ุฑุณุฏู„ุง ูˆ ุฑุฌุญู„ุง ูˆ ู‡ู„ุงุนุฃ ุฑุงุนุณู„ุฃุง ู‰ู„ุน ุฉู„ู…ุญู… ูˆ ู„ูˆุตู„ุฃุง ุจุณุญ ูˆ ู…ูƒุญู… ู„ูƒุดุจ ุงู‡ุชูŠุจุซุช ู…ุชูŠ ูŠุชู„ุงูˆ .ุงู‡ุฐูŠูู†ุช ู„ุจุงู‚ู… ุชุงูˆู„ุงุน ูŠุฃ ุนูุฏุช ู„ุงูˆ ู„ุงูƒุชู„ุง ู… 2 ( ุนุงูุชุฑุง ูƒูŠู…ุงุฏู… ุฑุฌุญ ู†ูƒู„ ูˆ ู‚ุจุงุณู„ุง ุฏู†ุจู„ุงูƒ 51 ุŒ ู…ุณ ) ู†ุน ู„ู‚ุช ู„ุง ุฑุฌุญู„ุง ุฉูƒุงู…ุณ ( 4 ูŠูู„ุฎู„ุง ู‡ุฌูˆู„ุง ู†ูŠุดุฎุช ุฉุฑูˆุฑุถ ุนู… ู…ุณ ) .ุฉู†ุงุณุฑุฎู„ู„ ู‚ุตู„ุงู…ู„ุง ู… 2 ( ุนุงูุชุฑุง ูƒูŠู…ุงุฏู… ุฑูุตุฃ ู†ูˆู„ ุญูˆูุช ุฑุฌุญ ู†ูƒู„ ูˆ ู‚ุจุงุณู„ุง ุฏู†ุจู„ุงูƒ 51 .ู…ุณ ) ุฑุงุจูˆุทู„ุง ุฉู‚ูŠุฑุทุจ ู‡ูู„ุฎ ุจุตู„ุง ู…ุซ ุฑุฌุญู„ุง ุกุงู†ุจ ุจูˆู„ุณุฃุจ ุกุงู†ุจู„ุง ุฉูŠู„ู…ุน ู†ูˆูƒุช :ุฉุธุญู„ุงู… ู‰ู„ุน ูˆ ุจูˆุทู„ุง ุนูŠุทู‚ุช ุฉูŠู„ู…ุน ู„ู„ุงุฎ ูŠุฑุงุฑุญู„ุง ู„ุฒุงุนู„ุง ุชูŠุจุซุช ูˆ ุจูˆุทู„ุง ุกุงู†ุจ ู…ุชูŠ ู†ุฃ ุงุจูˆุทู„ุง ูƒู ุฏุนุจ ุฉู†ุงุณุฑุฎู„ุง ูŠู ุฑู‡ุธุช ุจูˆูŠุน ูŠุฃ ุฉุฌู„ุงุนู… ุฏุนุจ ูˆ ูˆู‡ ุงู… ุจุณุญ ูˆ ุฑ ุชุงุทุทุฎู…ู„ุง ู‰ู„ุน ุญุถูˆู… . ู‡ุชูŠุจุซุช ู…ุชูŠ ูŠุฐู„ุง ูŠุฑุงุฑุญู„ุง ู„ุฒุงุนู„ุง ูˆ ุจูˆุทู„ุง ู„ุงู…ุนุฃ ุฑุฌุญู„ุง ุฏู†ุจ ุฑุนุณ ู„ู…ุดูŠ ู„ุง ูˆ ู†ู…ุถ ุฉุฏุฑุงูˆ ู„ุงู…ุนู„ุฃุง ู‡ุฐู‡ ู†ุฃ ุซูŠุญ ุจูˆุทู„ุงุจ ุกุงุทุนู„ุง ุฏูˆู†ุจ ู… 2 :ุนุจุฑู…ู„ุง ุฑุชู…ู„ุงุจ ุฑุฌุญ ู†ู… ุฉูŠุฑุฌุญ ู‡ุจุฌ ุจูŠูƒุฑุช ูˆ ู…ูŠุฏู‚ุช ุจูˆูŠุนู„ุง ู†ู… ู„ุงุฎ ุจู„ุต ู„ูˆุฃ ุจุฎู† ู†ุงุนู… ุฉุจุทู…ู„ุงุจ ู‚ูˆู‚ุฏู… ุฉูŠุฑุฌุญู„ุง ( ู†ุณ ุฉู…ุนุงู†ู„ุง 14 ุฉู„ุญูƒู„ุง ูˆ ุฉู†ูˆู…ู„ุง ู„ู…ุดูŠ ุฑุนุณู„ุง ูˆ ) ู‰ู„ุน ู„ู…ุนู„ุง ุฒุงุฌู†ู„ุฅ ู…ุฒู„ูŠ ุงู… ู„ูƒ ูˆ ุฑุณุฏู„ุง ูˆ ุทุจุงุฑู…ู„ุง ูˆ ุถูŠุจู„ุฃุง ุชู†ู…ุณู„ุฅุงุจ ุณู„ุท ู†ุน ู„ู‚ุช ู„ุง ุฉุชูˆุงูุชู… ู„ุงูˆุทุฃุจ ุŒุชุงูุตุงูˆู…ู„ุง ูˆ ุชุงุทุทุฎู…ู„ุง ุจุณุญ ู‡ุฌูˆ ู„ู…ูƒุฃ 45 ุฉูƒุงู…ุณุจ ูˆ ู…ุณ 5 .ู…ุณ

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47

Length Width Height of Stone

ุฉูŠุฑุฌุญู„ุง ู†ุงุฑุฏุฌู„ุง ู„ุงู…ุนุฃ ู…ุณ 25 ุนุงูุชุฑุง ูƒูŠู…ุงุฏู… ู†ุงุนู… ุฑุฌุญ ุนุจุฑู… ุฑุชู… 38 31.4 0.26 310.232 ุฌุฑุฏู„ุง ุชูŠุจ 45 2.6 0.26 30.42 (ู„ูˆู„ุฃุง ู‚ุจุงุทู„ุง ูŠู ุฑุชูˆูŠุจู…ูƒู„ุง ุฑุจุชุฎู… ุฒูˆุฑุจ ู…ุตุฎ) -21 9.05 0.26 -49.413 (ูƒูŠุจุงุจุดู„ุง ู…ุตุฎ) -5 5 1.56 -39 No. of Wi ndows =5 Hei ght of Wi ndow=6x0.26 Total= 252.239 ู…ุณ 51 ุนุงูุชุฑุง ูƒูŠู…ุงุฏู… ู†ุงุนู… ุฑุฌุญ ุนุจุฑู… ุฑุชู… 22.5 0.5 0.52 5.85 22.5 3.15 0.52 36.855 22.5 2.4 0.52 28.08 (ู†ุงุนู… ุฑุฌุญ ุนู… ุฑูุตู„ุฃุง ุญูˆูุชู„ุง ุฑุฌุญ ุนุทุงู‚ุช ู…ุตุฎ) -10.5 0.3 0.52 -1.638 -10.5 0.3 0.52 -1.638 Total= 67.509 ู…ุณ 51 ุนุงูุชุฑุง ูƒูŠู…ุงุฏู… ุฑูุตุฃ ุญูˆูุช ุฑุฌุญ ุนุจุฑู… ุฑุชู… 15 25.75 0.52 200.85 10.5 0.5 0.52 2.73 ุฑุณูŠู„ุฃุง ุฑูุตู„ุฃุง ุนุงุฑุดู„ุง ุจู†ุงูˆุฌ ุฉูุงุถุฅ 15 0.3 0.52 2.34 ู†ู…ูŠู„ุฃุง ุฑูุตู„ุฃุง ุนุงุฑุดู„ุง ุจู†ุงูˆุฌ ุฉูุงุถุฅ 10.5 0.3 0.52 1.638 ุฑูุตู„ุฃุง ุนุงุฑุดู„ุง ู„ูุณุฃ ุฉูุงุถุฅ 26.25 0.3 7.875 (ู‰ุฑุณูŠู„ุง ุฉุญุชูู„ุง ู…ุตุฎ) -4.5 6 0.52 -14.04 (ู‰ู†ู…ูŠู„ุง ุฉุญุชูู„ุง ู…ุตุฎ) -4.5 6.6 0.52 -15.444 (ุญุทุณู„ุง ู‰ู„ุน ุฉุญุชู ู…ุตุฎ) -3 0.4 0.52 -0.624 ุชุงุญุชูู„ุง ุจู†ุงูˆุฌ ุฉูุงุถุฅ 3 0.3 2.34 2.106 4.5x0.52=ุจู†ุงูˆุฌู„ุง ุนุงูุชุฑุง 3=ุจู†ุงูˆุฌู„ุง ุฏุฏุน ุชุงุญุชูู„ุง ู‰ู„ุนุฃ ุฉูุงุถุฅ 13.1 0.3 3.93 0.3 =ุจู†ุงูˆุฌู„ุง ุถุฑุน ุญุทุณู„ุง ู‰ู„ุน ุฉุญุชูู„ุง ุจู†ุงูˆุฌ ุฉูุงุถุฅ 2 0.3 1.56 0.936 0.5+6.6+6 =ุชุงุญุชูู„ุง ู‰ู„ุนุฃ Total= 192.297 ุฉูŠุฑุฌุญ ุฑูŠุบ ูŠู‡ ู‰ู†ุจู…ู„ู„ ูŠุฌุฑุงุฎู„ุง ุฑุธู†ู…ู„ู„ ุฑุงุธู†ู„ุฃุง ู†ุน ุฉูŠูุฎู…ู„ุง ู†ูƒุงู…ู„ุฃุง ุนูŠู…ุฌ ู†ุฃ ูŽุงุจูŠุฑู‚ุช ุงู†ุถุฑุชูุง ู„ุงุซู…ู„ุง ุงุฐู‡ ูŠู

Description Unit No. of Rows Dimensions Sum Note 250 START END 2575 50 50 3140 30 225 60 500 500 660 155 150 600 150 260 120 1 2 3 4 1 4 19 40 905 22 35 1 45

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