Module Analytical Methods for Engioneers Assignment PDF

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BTEC HND in Civil Engineering

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Unit / ModuleAnalytical Methods for Engioneers
AssessmentAssignment-Individual
LecturerMr. Vidura Sonnadara
Student NameL.Y sachth madushankaIDCE/M/02/15
Date Handed OverDate Due
Initial Submission DateRe-Submission Date
Assessment
Criteria /Grading
Opportunity
Offered

Met
Initially?
Yes/no
Met On
Re-
Submissi
on?
Yes/no
Assessor’s Feedback on submission
LO 1
Decision
LO 2
LO 3
LO 4
M1
M2
M3
D1
Assessor’s Feedback On Re-Submission( if required)
D2

D3
Assessed by :
Evaluation on
Submission :Achieves Assessment Criteria
Resubmit
Signature:Date Assessed :
Evaluation on Re-
Submission :Achieves Assessment Criteria
Resubmit
Signature:Date Assessed :

Important Information for Students
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The criteria each task relates to are shown against that task where possible.

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

All sources of information must bereferenced using “Harvard referencing” where areference
list/Bibliographyshould be included at the end of the assignment.

Please note that the submission date given for this assignment is thefinal datethat you can hand
over the assignment. Aone week grace periodmaybe extended withprior approval from the
Program ManagerUndergraduate. 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 bere-submitted within 10 days(Please
refer to Student Handbook on Assignments – Re-submission).

Failure to re-submitthe previously marked assignment with the re-submitted assignment will
mean thatresults cannot be released for the respective unit.

Please read, follow and reference both thecontents of the unit outlineand thegrading criteria
of the assignmentbefore completing this assignment.

Plagiarism:

While research and discussion are an essential part of an assignment, the deliberate copying of someone else’s
work or unacknowledged copying from printed or electronic sources is NOT permitted. You may be subject to
disciplinary procedure if you do this. You should sign this sheet to show that you comply with these regulations.

Student’s Signature: ................................. ..............................................Date: ......................
Student’s Comments:

Assessment has been internally verified for use.
Internal Verifier Name :
Signature :Date
Verified :





Task 01
a)Use matrix method to solve the following simultaneous equations
BTEC HND in Civil Engineering

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3x – 5y = 204
4x + 5y = 412(LO1.4, D3)

b)Sketch the following functions of a single variable for the domain −3 ≤x≤ 3
I.f(x) = −x4
II.f(x) = 2 −xx2
III.f(x) = 1/x
(LO1.2, M1)
c)Solve the following factorisation
i. 2x25x -3 = 0
ii. 7x220x -3 = 0
(LO1.1, M2)
d)Divide the following algebraic repression in to partial fractions


e)Write the remainder and quotient in the following algebraic division

(LO1.1, M3)





Task 02
a)A weight of 4 Tonnes is suspended on two ropes as shown. Calculate the length of the
ropes and the forces in them.
BTEC HND in Civil Engineering

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(LO2.3, D1)
b)A conical vessel of internal radius 14 cm and height 36 cm is full of water. If this water
is poured into a cylinder with internal radius 21 cm, find the height to which the water
rises in the cylinder.
(LO2.3, D1)
b)The length of a room is 1.5 times its breadth. The cost of carpeting it at Rs 150 per
square meter is Rs 14400 and the cost of white washing the four walls at Rs 5 per square
meter is Rs 625. Find the dimensions of the room.
(LO2.1, D3)
c)If the equation of a sinusoidal wave is given by
y = 4.5 sin (2ωt + 3Π/4) then find the displacement and the acceleration of the wave?


d)When a gas is compressed, it is found that the Pressure & Volume has a relationship as
PVn= C , where C and n are constants.
When P = 400 × 103& V = 0.0004 m3, the C = 45.7,
Then find the value of C, by using the knowledge of logarithms?
(LO2.2 , M1)
Task 03
a)Find the gradient of the curvey = (x3+1)(x2+2x+5)at the point x = 1.(LO4.2, M3)
b)A printer need to make a poster that will have a total area of 320 in2and will have 1 inch
margins on the sides, a 1.75 inch margin on the top and a 3.5 inch margin on the bottom.
What dimensions will give the largest printed area?(LO4.2, M3)
c)Show that if the coefficient of friction between the block and the plane is 0.25, the force
required to just start the block moving up the 40oincline is F= 1.38 W while the force
required to hold the block from sliding down the plane is F= 0.487 W
BTEC HND in Civil Engineering

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(LO4.1, D2)
Task 04
a)The breaking strength of 150 spot welds was measured in Newton and grouped into
bands of 20 N as shown.
Calculate the mean and the standard deviation
Rangef
160 - 1802
180 - 2006
200 – 22010
220 – 24028
240 – 26050
260 – 28031
280 – 30015
300 – 3208
(LO3.1,LO3.2, M1)
b)3 boxescontain balls as follow,

(Box A: 6 red, 4 black), (Box B: 4 red, 6 black), (Box C: 5 red, 6 black) respectively.
One box is selected randomly and a ball is taken from the selected box randomly, if the
ball isRed, find the probability that it’s drawn from theBox A?

C)Student takes his exam in four subjects, A,B,C and D. He estimates of passing each
subject as P(A) = 4/5 , P(B) = 3/4, P(C) = 5/6, P(D) = 2/3.

To qualify for the next semester he should passsubject Aand2 other subjectsat least.
Find the probability of qualifying him? (Clearly show the solving steps)

(LO 3.3, D3)


Grading Information
BTEC HND in Civil Engineering

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LO 1
Algebra: linear, simultaneous and quadratic equations, laws of indices and
logarithms, common and Naperian logarithms, indicial equations, direct and
inverse proportion, inequalities, functional notation and manipulation of algebraic
problems
Graphical representation: functions, points of intersection between two graphs,
graph sketching (straight line, polynomial, exponential and logarithmic), fit lines to
experimental data using least squares method
Space, time and motion: plot space/time and velocity/time diagrams, determine
displacement, velocity and acceleration. Laws of motion, momentum, impulse
and projectiles
Matrices: multiplication, transposition and inversion, applications
LO 2
Trigonometry: basic trigonometric ratios and their inverses, trigonometric ratios for
the four quadrants, solution of triangles, calculation of areas and volumes of solids
Determine co-ordinates: in 2-D and 3-D geometry
Other functions: trapezoidal and Simpson’s rule

LO 4
Trigonometric methods: to solve problems such as static forces, relative motion,
frameworks, metrology, friction torque, electrical and mechanical energy problems
Calculus: to differentiate and integrate simple equations and demonstrate
applications of calculus (refer to Delivery guidance on delivering calculus to
construction disciplines)

M1Identify and apply strategies to find appropriate solutions
Effective judgments have been made
M2
Select/design and apply appropriate methods/ techniques
Relevant theories and techniques have been applied
A range of methods and techniques have been applied
M3
Present and communicate appropriate findings
The appropriate structure and approach has been used.
A range of methods of presentation have been used and technical language has
been accurately used.
D1
Use critical reflection to evaluate own work and justify valid conclusions
Conclusions have been arrived at through synthesis of ideas and have been
justified
D2
Take responsibility for managing and organizing activities
Autonomy/ independence have been demonstrated.
Substantial activities or investigations have been planned, managed and
organized.
The importance of interdependence has been recognized and achieved

D3

Demonstrate convergent / creative thinking
Ideas have been generated with self evaluation and decisions taken.
Problems have been solved with innovative and creative thoughts.
Effective thinking has taken place in unfamiliar contexts




BTEC HND in Civil Engineering

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Acknowledgement
Iwould like to express my deepest gratitude to all those who helped me to complete this assignment.
A special gratitude I give to my lecturerMr. Vidura Sonnadarawho gave me this valuable
opportunity to do this on the topic ofAnalytical Methods for Engineersand encouraged me to learn.
after I would like to thanksMISHIMASHA GAMAGEadvise to how to create a
assement
furthermore I would like to thankmy parentswith much appreciation for give their fullest cooperation to
me.
besides I would like to take this opportunity to mention aboutICBT SOUTHERN CAMPUSwhich
provides me to good learning conditions for learning well.
also I would like to deliver my whole hearted thanks to all myfriendswho helped me to complete these
severe tasks within limited days.
finally I would like to thanks again all who helped me in various ways towards me to finish this
assignment with successfully.


Executive summary
Construction industry is very complex industry in the world .thatAssignmentis analytical
method of civil engineers .this lesson is very important lesson in the construction area. we got a
knowledge to how to use deflection , integration ,matrix’s part and probability in construction
site. ThisAssignmentpart uses to easy our work. That Assignment is very important to our
work site

















BTEC HND in Civil Engineering

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Table of Contents
Acknowledgement..................................................... 07
Executive Summary..................................................07
List of Figures.........................................................09
Introduction............................................................10
Task 1....................................................................11
Task 2....................................................................21
Task 3....................................................................30
Task 4....................................................................36
Conclusion..............................................................41
Reference list...........................................................41
























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