In this question you are required to consider the deflection and vibration of a simple cantilever beam (Figure 3a), based on an experimental scenario that you can create at home or in the labs at Deakin. All dimensions and materials are to be chosen by you. However, a 40cm plastic ruler or longer metal or wooden ruler may be a good scenario to examine.
In this question you are required to consider the deflection and vibration of a simple cantilever beam (Figure 3a), based on an experimental scenario that you can create at home or in the labs at Deakin. All dimensions and materials are to be chosen by you. However, a 40cm plastic ruler or longer metal or wooden ruler may be a good scenario to examine.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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put alpha = 9

Transcribed Image Text:In this question you are required to consider the deflection and vibration of a simple cantilever beam (Figure
3a), based on an experimental scenario that you can create at home or in the labs at Deakin. All dimensions
and materials are to be chosen by you. However, a 40cm plastic ruler or longer metal or wooden ruler may be
a good scenario to examine.
1)
Figure 3: Schematic of cantilever beam for Question 3.
Your task is to answer the questions shown in Table 5, using the calculation methods specified.
Hint: for Part (a) of this question, you can use the following beam deflection equation to calculate the modulus
of elasticity, based on a number of applied loads.
PL3
8 =
3EI
Table 5: Calculations and explanation required for Question 3.
1. Experimental- 2. Simple hand
based
3. Finite element
calculations based
on assumed material Abaqus CAE
calculations using
measurements
properties and
geometry
(1 mark)
(3 marks)
(3 marks)
a) Determine Young's modulus of the
material, based on measurement of the
assume
deflection at a number of end loads.
b) Determine the first natural frequency. For
experimental measurement you can use video,
accelerometer, position sensor, stopwatch and
manual counting, etc.
c) Attach a small weight to the end (point 2)
and determine the first natural frequency
again. The weight should be small so that it
does not alter the shape of the beam too much
prior to oscillation.
d) Comment on whether the results are
reasonable, where there may be sources of
error (based on the assumptions /
simplifications of each method), how the
results of each of the methods compare and
why there may be discrepancy between the
methods. A single table summarising the
results from both methods may be helpful for
this.
1. Experimental- 2. Simple hand
based
3. Finite element
calculations based
calculations using
on assumed material Abaqus CAE
properties and
geometry
measurements
• Show all
working and
diagrams as
• Include images and
description of model as
required.
• Boundary conditions,
loads, element choice
and mesh should be
Evidence and explanation
For all methods, you must clearly show how
you arrived at the solution. This is necessary
to demonstrate your understanding.
Show all working
and diagrams as
necessary.
necessary.
clearly described (and
justified where
аppropriate).
DO NOT submit your
Abaqus CAE file for
Question 3.
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