Module Analytical Methods for Engioneers Assignment PDF
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Added on 2021-07-28
Module Analytical Methods for Engioneers Assignment PDF
Added on 2021-07-28
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BTEC HND in Civil Engineering 1 | P a g e Unit / Module Analytical Methods for Engioneers Assessment Assignment-Individual Lecturer Mr. Vidura Sonnadara Student Name L.Y sachth madushanka ID CE/M/02/15 Date Handed OverDate Due Initial Submission Date Re-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
BTEC HND in Civil Engineering 2 | P a g e 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 list/Bibliography 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. 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 3 | P a g e 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 − x − x2 III.f (x) = 1/x (LO1.2, M1) c) Solve the following factorisation i. 2x2 – 5x -3 = 0 ii. 7x2 – 20x -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 4 | P a g e (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 curve y = (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 5 | P a g e (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 Range f 160 - 180 2 180 - 200 6 200 – 220 10 220 – 240 28 240 – 260 50 260 – 280 31 280 – 300 15 300 – 320 8 (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 is Red, find the probability that it’s drawn from the Box 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 pass subject A and 2 other subjects at least. Find the probability of qualifying him? (Clearly show the solving steps) (LO 3.3, D3) Grading Information
BTEC HND in Civil Engineering 6 | P a g e 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) M1 Identify 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 7 | P a g e Acknowledgement I would like to express my deepest gratitude to all those who helped me to complete this assignment. A special gratitude I give to my lecturer Mr. Vidura Sonnadara who gave me this valuable opportunity to do this on the topic of Analytical Methods for Engineers and encouraged me to learn. after I would like to thanks MIS HIMASHA GAMAGE advise to how to create a assement furthermore I would like to thank my parents with much appreciation for give their fullest cooperation to me. besides I would like to take this opportunity to mention about ICBT SOUTHERN CAMPUS which provides me to good learning conditions for learning well. also I would like to deliver my whole hearted thanks to all my friends who 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 .that Assignmentis 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. This Assignmentpart uses to easy our work. That Assignment is very important to our work site
BTEC HND in Civil Engineering 8 | P a g e 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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