WE WRITE CUSTOM ACADEMIC PAPERS

100% Original, Plagiarism Free, Tailored to your instructions

Order Now!

Differential Equations and Matrices

Differential Equations and Matrices
This is an individual coursework.
Percentage of module mark: 30
Intended Learning Outcomes:
1.
Ability to formulate and analyse mathematical model
s of engineering problems
2.
Ability to apply mathematical techniques and modern
mathematical software to
solving engineering problems, in particular: soluti
on of ordinary differential equations
using analytical techniques and Matlab
Hand Out: 28th October 2013
Hand in: 10th January 2014
Question 1: 30 marks
Question 2: 35 marks
Question 3: 35 marks
Total: 100 marks
All students have been assigned a unique number
N
which is used for setting parameter
values in all questions.
Please look up your number in the table provided wi
th this assignment!
REMEMBER: coursework hand-in now has a hard deadlin
e. Be late, get zero
(ABsent / failure to submit). Plan to hand in at le
ast a day early. Better still, a week.
For full marks, all working must be shown.
Where boxes are provided, please fit all the workin
g and the answers in the boxes.
You are allowed to use Matlab unless specified othe
rwise explicitly. You are not allowed to
use software not covered in the module (e.g. Maple
or Simulink)
Please submit an electronic version via Moodle. Onl
y two files up to 20 Mb can be uploaded
to Moodle, multiple files can be combined in a ZIP
archive if necessary. It is however
recommended to only submit one file.
208MAE, coursework 1 (2013/2014)
Page 2 of 20
1 Beam bending
Problem:
A uniformly thick beam of length
L
with square cross-section with width
a
has a distributed
force,
?
?
?
?
?
?
+

=

x
e
L
x
Q
x
q
2
2
sin
1
)(
p
N/m,
applied
0
=
x
to
L
x
=
(
Q
is a constant). A point force
P
is applied at
L
x
=
.
P
x
y
x
= 0
q
x L
=
Find expressions for shear and moment
analytically
(not using Matlab).
Sketch distributions of shear forces and moment alo
ng the beam length (using Matlab)
Parameters:
Values of
L, EI, Q
and
P
for each student are calculated as follows (here
N
is the number
assigned to you in the table):
N
L
*
01.0
1
+
=
(m)
600
/)
300(*
50
N
P

=
(kN)
300/
5
N
e
Q
=
(kN/m)
5
10
6
×
=
EI
(Pa m
4
)
Marking scheme:
Finding correct expressions for shear and moment
ANALYTICALLY
(not using Matlab,
please show your working)
(20 marks)
Plots of shear force and moment
(10 marks)
208MAE, coursework 1 (2013/2014)
Page 3 of 20
Solution:
1. Correct parameters for my student number
N
=
L
=
P
=
Q
=
EI
=
2. Shear
Equation for shear:
General solution of shear equation (please put your
working here):
ORDER THIS ESSAY HERE NOW AND GET A DISCOUNT !!!
 

Our Service Charter

  1. Excellent Quality / 100% Plagiarism-Free

    We employ a number of measures to ensure top quality essays. The papers go through a system of quality control prior to delivery. We run plagiarism checks on each paper to ensure that they will be 100% plagiarism-free. So, only clean copies hit customers’ emails. We also never resell the papers completed by our writers. So, once it is checked using a plagiarism checker, the paper will be unique. Speaking of the academic writing standards, we will stick to the assignment brief given by the customer and assign the perfect writer. By saying “the perfect writer” we mean the one having an academic degree in the customer’s study field and positive feedback from other customers.
  2. Free Revisions

    We keep the quality bar of all papers high. But in case you need some extra brilliance to the paper, here’s what to do. First of all, you can choose a top writer. It means that we will assign an expert with a degree in your subject. And secondly, you can rely on our editing services. Our editors will revise your papers, checking whether or not they comply with high standards of academic writing. In addition, editing entails adjusting content if it’s off the topic, adding more sources, refining the language style, and making sure the referencing style is followed.
  3. Confidentiality / 100% No Disclosure

    We make sure that clients’ personal data remains confidential and is not exploited for any purposes beyond those related to our services. We only ask you to provide us with the information that is required to produce the paper according to your writing needs. Please note that the payment info is protected as well. Feel free to refer to the support team for more information about our payment methods. The fact that you used our service is kept secret due to the advanced security standards. So, you can be sure that no one will find out that you got a paper from our writing service.
  4. Money Back Guarantee

    If the writer doesn’t address all the questions on your assignment brief or the delivered paper appears to be off the topic, you can ask for a refund. Or, if it is applicable, you can opt in for free revision within 14-30 days, depending on your paper’s length. The revision or refund request should be sent within 14 days after delivery. The customer gets 100% money-back in case they haven't downloaded the paper. All approved refunds will be returned to the customer’s credit card or Bonus Balance in a form of store credit. Take a note that we will send an extra compensation if the customers goes with a store credit.
  5. 24/7 Customer Support

    We have a support team working 24/7 ready to give your issue concerning the order their immediate attention. If you have any questions about the ordering process, communication with the writer, payment options, feel free to join live chat. Be sure to get a fast response. They can also give you the exact price quote, taking into account the timing, desired academic level of the paper, and the number of pages.

Excellent Quality
Zero Plagiarism
Expert Writers

Instant Quote

Subject:
Type:
Pages/Words:
Single spaced
approx 275 words per page
Urgency (Less urgent, less costly):
Level:
Currency:
Total Cost: NaN

Get 10% Off on your 1st order!