Login

Create Account
Customer Service Chat
+14156709189
info@expertsmind.com
Submit Homework/Assignment
Get quote & make Payment
Get Solution
Mechanical design 2, engineering, Other Engineering
Mechanical Design (48650) – Spring Semester 2012
Optimisation Assignment – BUILDING A ROAD
Teams of THREE to FIVE [3 to 5] – Worth 20% of the Semester Grade
Due: Thursday 23rd March 2012 by 23:59 pm
Where? My Assignment Box [No 15] situated in Building 2 between Floors 5 & 6 below the big computer lab on level 6. This is the only way to submit – it eliminates confusion.
Late submissions (without prior permission) will be penalised at 10% per day late. Submissions more than one week late will not be accepted.
Students organise themselves into teams; share out the work; plan a timetable with delivery dates; hold regular face to face meetings and issue minutes, and; show fellow team members how to do things. Acknowledge outside assistance from other students in the report.
1. Background
The cost of building a road depends upon many things. For the purposes of this assignment it will depend on total distance covered and quantity of material cut from a hill, the quantity of material to fill hollows and the net amount of excess earth trucked to/from the area to make up for that used internally. The area being considered covers the coordinates from x = 5 to x = +5 kilometres and from y = +5 to y = 5 kilometres. The height of a point (z in metres) within the area is found from the equation:
z = sin [(xy2)?/14] + sin [(2x+y)?/9)]  0.37 {illustrated in the contour map below}
Five pairs of roads can start from the West at x=5 and y =+4, +2, 0, 2 and 4 always travelling eastward. The pair starting at y = +4 finish at y = 1 and y = 1: the pair starting at y = +2 finish at y = +5 and y = 2: the pair starting at y = 0 finish at y = 3 and y = +3: the pair starting at y = 2 finish at y = 5 and y = +1, and: the pair starting at y = 4 finish at y = +1 and 1. The roads run horizontally at z = zero metres.
The costs (in units of $100,000) are:
Road construction cost is 7/km Cost to fill a hollow is 3/km.metre
Cost to cut into a hill is 2/km.metre. Cost to truck net excess earth to/from the area is 3.5/km.metre
The cut or fill for each step is zav . ?s, where zav = (zleft + 2zmid + zright)/4 and ?s is the step road length.
2. Teams
Teams of three start at x = 5 and y = +4, 0 and 4. Teams of 4 start at x = 5 and y = +4, +2, 0 and 2. Teams of five will start at x = 5 and y =+4, +2, 0, 2 and 4. Each team member will do 2 roads starting at one point and a team will cover all roads allocated to them.
3. The Task
3.1 Maps: Produce a contour map better than that shown below and also a threedimensional surface graph of the ground. Divide the x and y ranges into steps of 0.25 km.
[Hint; Look up the “range” naming function in “Help” – it allows you to easily write a general formula that can be written to any cell to calculate z and it will automatically step through the x and yranges.]
3.2 Optimisation: Using an optimisation package such as “Solver” in Excel, determine the road path which gives the minimum cost for each starting and finishing point examined by the team. Plot the road route and zelevation profile for each road. A small bonus will be awarded for the team with the lowest cost, viable solution.
[Hints: Move from x = 5 to x = +5 in steps of 0.5 km [or 0.25 km, preferably]. Determine the (i) the road distance for the step and it’s cost; (ii) the z at the half xstep coordinates; (iii) the “fill” or “cut” for that step; (iv) the cost of the fill or cut for that step; (v) the net fill or cut for the road and it’s cost; (vi) the total road cost, and; (vii) optimise the ypath to minimise total cost. Check for correct operation by putting all costs except road construction to zero – you should get a straight line road path. Warning! Try several initial path guesses to get the “best” path. “Play’ with the option settings in Solver.]
Posted Date: 3/16/2012 11:39:22 PM  Location : United States
Ask an Expert
Related Discussions:
Mechanical design 2, engineering, Assignment Help, Ask Question on Mechanical design 2, engineering, Get Answer, Expert's Help, Mechanical design 2, engineering Discussions
Write discussion on Mechanical design 2, engineering
Your posts are moderated
Write your message here..
Related Questions
Junction diode summary, The PN junction region of the Junction Diode has ...
The PN junction region of the Junction Diode has the following significant characteristics: Semiconductors contain two types of mobile charge carriers, Electrons and Holes
Product applications of powder metallurgy, Q. Describe two major product ap...
Q. Describe two major product applications of powder metallurgy. Ans. Following are some typical applications of powder metallurgy. (i) Refractory metal : P
Flight control  root location, In a continuous time linear system whenever...
In a continuous time linear system whenever any of the characteristic roots, say λ, has a positive realpart, ie R e (λ) = λ R > 0, then the system is unstable. Stability is ensure
Found ash content, determine the ash content in given sample
determine the ash content in given sample
#MATERIAL ENGINEERING, HEAT TREATMENT PROCESS
HEAT TREATMENT PROCESS
Risk management, discuss the value of risk analysis and how the process can...
discuss the value of risk analysis and how the process can be used t derive project management decisions under conditions of uncertainty
Fluid mechanics, A body, with a volume of 2m^3, weights 40 kN. Determine it...
A body, with a volume of 2m^3, weights 40 kN. Determine its weight when submerged in liquid with S= 1.59.
Lean enterprise, a department manufactures a produt using a kanban system. ...
a department manufactures a produt using a kanban system. data is demand/hr= 30, container size= 5, unit processing time= 1.25 min. find the minimum number of kanban assuming reple
Shelf list filing  library management, Shelf List Filing Shelf list ...
Shelf List Filing Shelf list reflects the arrangement of documents in the library. That is to say, the classificatory arrangement of the documents in a library can be seen th
Robotics, how to become robotics engneer
how to become robotics engneer
Assignment Help
Accounting Assignment Help
Economics Assignment Help
Finance Assignment Help
Statistics Assignment Help
Physics Assignment Help
Chemistry Assignment Help
Math Assignment Help
Biology Assignment Help
English Assignment Help
Management Assignment Help
Engineering Assignment Help
Programming Assignment Help
Computer Science Assignment Help
ExpertsMind Services
Online Tutoring
Projects Assistance
Exam Preparation
Coursework Help
Programming Help
IT Services
Why Us ?
~Experienced Tutors
~24x7 hrs Support
~Plagiarism Free
~Quality of Work
~Time on Delivery
~Privacy of Work