# BCAM CES [Material Selection]

**Paper, Order, or Assignment Requirements**

Design storage heaters by using the software BCAM CES [Material Selection] 2015. The version of the software [CES] must be 2015.

the requirement is in the attachment.

it is a full report with relevant Executive Summary, Calculations, appendices and references are to be included. [ also each reference that will be used must have its link in the references page].

one part of the calculation parts should be about how to find suitable materials.

a

a

a

θ

θ

**Optimising volume (15 marks) **

A rain gutter is to be constructed from a metal sheet of width w cm by bending up one-third of the sheet on each side through an angle θ. How should θ be chosen so that the gutter will carry the maximum amount of water?

Here the width w is given by **w=3a, where a is obtained from the last two digits of your student ID No **(e.g. if your ID no is 4120833 then a=33 and w=99 cm).

(Total – 15 marks) 110MP Coventry University 2016 Coursework

Page 3 of 4

**Population modelling (20 marks)**

A model often used for population growth is the ‘Logistic’ model

n n n n x Mx k x x 1 100 1

Where is the population in millions at year n, and *k *and *M *are constants n x

**Your individual parameter values should be obtained from your student ID No. as follows: **

**M = 1****st ****3 digits **

**x****0 ****= next 2 digits **

**k = next 2 digits **

**Eg. If your ID no is 4120833 then M=412, x****0****=8, k=33 **

- a) Use your allocated values for M, k, and x

Create a spreadsheet to represent this model over 100 year time period.

Display the population against the year on a graph.

Hence deduce what M represents. (8 marks)

- b) The population of USA (in millions) over the period 1790 to 1940 is given below:

Year |
Popn |
Year |
Popn |
Year |
Popn |
Year |
Popn |

1790 | 3.9 | 1830 | 12.86 | 1870 | 38.5 | 1910 | 92.2 |

1800 | 5.3 | 1840 | 17.0 | 1880 | 50.2 | 1920 | 106.3 |

1810 | 7.24 | 1850 | 23.2 | 1890 | 63.0 | 1930 | 123.2 |

1820 | 9.60 | 1860 | 31.4 | 1900 | 76.2 | 1940 | 132.2 |

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