Analytical Methods Batch 13 Submit

BTEC Higher National Diploma in Quantity Surveying & Building Economics

Edexcel International - UK

Unit / Module Analytical Methods

Assessment Assignment 01

Lecturer / Tutor Dr. Manjula Nanayakkara

Student Name ID

Date Handed Over Date Due

Initial Submission Date Re-Submission Date

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Grading Opportunities

Criteria Met?Assessor Feedback

InitiallyOn Re-

Submission

P1.1

P1.2

P1.3

P2.1

P2.2

P3.1

P3.2

P4.1

P4.2

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International College of Business and Technology

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M3

D1

D2

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Assessed by (name):

Signature: Date Assessed :

Student Signature & Comments

Important Information for Students

The criteria each task relates to are shown against that task where possible.

Please note that plagiarism is treated as a serious offence and therefore the work you produce must be individual and original although may work in groups in some instances (Please refer to Student Handbook on Plagiarism & Cheating).

All sources of information must be referenced using “Harvard referencing” where a reference listing should be included at the end of the assignment.

Please note that the submission date given for this assignment is the final date that you can hand over the assignment. A one week grace period maybe extended with prior approval from the Program Manager – Undergraduate. However, note that submissions handed in one week late will be graded lower (Please refer to the Student Handbook on Assessments - Late Submissions & Penalties).

Assignments returned to students for re-working must be re-submitted within 10 days (Please refer to Student Handbook on Assignments – Re-submission).

Failure to re-submit the previously marked assignment with the re-submitted assignment will mean that results cannot be released for the respective unit.

Please read, follow and reference both the contents of the unit outline and the grading criteria of the assignment before completing this assignment.


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Assessment has been internally verified for use.

Internal Verifier Name :

Signature :Date

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1. Calculate the total cost ( cost of material and labour) required laying a concrete foundation of 350mm height for the floor plan shown in Figure Q1 with a 1: 2: 6 ( cement: fine aggregate: coarse aggregate) concrete. The specific gravities of cement, fine aggregate and coarse aggregate are 3.81 kg / m3, 2.62 kg / m3 and 2.73 kg / m3 respectively. Cost of material

Cement: Rs. 900 per 50 kg bagFine aggregate: Rs. 5000 per 1000 kgCoarse aggregate: Rs. 3000 per 1000 kg

Labour Time: 2 hours per 1 m3

Cost: Rs. 100.00 per hour

Figure Q6

[P1.1, P1.2, P1.3]Figure Q1


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6m

11m

400mm



2. In the process of calibrating an electronic compressive strength testing machine, the output voltage is recorded for different values of applied load for several trials. The variation of average voltage value against the applied load is shown in table below.

Load / kN 15 18 20 22 24 26 28 30 32 34Voltage / V 1.3 1.6 1.7 1.9 2 2.3 2.4 2.6 2.8 2.9

a) Plot the data on a graph sheet. [P2.2]b) Obtain the line of best fit for the data distribution. [P2.2]c) Is straight-line approximation acceptable for this data distribution? Justify your

answer. [D3]d) During the test carried out to measure the compressive strength of a concrete block a

voltage of 3.2V was observed. What is the load on the block? [M1]

3. A surveyor wishes to find the distance between two inaccessible points A and B on opposite sides of a lake shown in figure Q3. While standing at point C, she finds that AC= 259m,

BC= 423m and angle of ACB measures . Find the distance AB. [P2.1]

4. A surveyor reported the following data about a piece of property: “The property is triangular in shape, with dimensions are shown in figure Q4.” Find whether such a piece of property could exist. [M2]


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C

B

A

259m

423m

1320 40’

21.9m 78.3m

380 50’

Figure Q3 Figure Q4



5. A standard beam of length carries a uniformly distributed load, W. Its maximum

deflection, y, is given by . If the beam is 1.5% too long and W is under estimated by

1.2%. What is the change in maximum deflection? [P4.1, M3]

6. Find the general solutions of the following functions.

a)

b)

[P2.3, P2.4]

1. The length of 90 reinforcement iron rods of 12 mm diameter was measured. Calculate the mean; the standard deviation; the mode; the median of the set of values given.

Length/m 6.04 6.05 6.06 6.07 6.08 6.10 6.12Frequency f 3 10 19 20 18 13 7

[P3.1]

2. Measurement of the compressive strength of 1200 samples of concrete cubes gave a mean of 23.22MPa and a standard deviation of 0.21MPa. Calculate,

a) The number of cubes to have compressive strength less than 23.19MPa.b) The number of cubes likely to have compressive strength between 23.15mm and 23.26mm

[P3.2]

7. relates speeds v (m/s) to time t(s).

a) Find the average speed in the first 8 seconds through analytically as well as numerically. b) Comment on your answer in a above. [P4.1, D1]

8. A city centre tram, operating a shuttle service, travels x km in time t minutes according to

.

a) When is its displacement from its initial station zero?b) What does this tell you about the time for a return trip?c) What is its velocity after 7.5 minutes?d) When is its acceleration zero?

[D2]


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9. Consider an open cistern with a square base of side x and of length h. The area of the material used for construction is 12 m2. What dimensions make the volume of this cistern maximum? Calculate the maximum volume. [P4.2]


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