MAE 311: Machines and Mechanisms I
Assignment #2 Solution
Spring 2014
Due Date: 2/24/2014
Problem 1 (15 Points)
Draw the stress element at Points A and B for the components shown below; all connections are rigid.
From your element, create the stress tenso
MAE 311: Machines and Mechanisms I
Course Project Gate 2: Initial Stress Investigation and Lifecycle Research
Spring 2015
Purpose
In this gate groups will build off the foundational work they completed in Gate 1. From a technical standpoint,
groups will b
MAE 311: Machines and Mechanisms I
Assignment #3
Spring 2015
Due Date: 3/6/2014
Purpose
This assignment further investigates static failure theories. If you have difficulty with this assignment,
you should contact one of the course instructors or teaching
MAE 311: Machines and Mechanisms I
Assignment #2
Spring 2015
Due Date: 2/27/2015
Purpose
This homework examines the fundamental topics of stress, strain, and deflection, principal stress and
stress concentration. If you have difficulty with this assignmen
MAE 311: Machines and Mechanisms I
Assignment #3 Solution
Spring 2015
Due Date: 3/6/2014
Problem 1 (30 Points)
Plot the following sets of stress states on a set of principal axes (an example is provided in Figure 1A of
the Appendix). Calculate the factor
MAE 311: Machines and Mechanisms I
Assignment #4 (5 points will be taken off in the case you dont write section #)
Spring 2015
Due Date: 3/27/2014
Purpose
This assignment investigates fatigue failure theories. If you have difficulty with this assignment,
Page | 1
Kindling Splitter
Gate 3: Failure Analysis and Product Usage Research
Group 18
Page | 2
Connor Devine
Matthew Juskiewicz
Nick Rados
Parthivi Narang
Ramana Nagasamudram
Sardar Elias
Table of Contents
1. Introduction
2. Design Evaluation
3. Cutting
MAE 311: Machines and Mechanisms I
Assignment #4 (5 points will be taken off in the case you dont write section #)
Spring 2015
Due Date: 3/27/2015
Problem 1 (20 Points)
A part is loaded with combination of bending, axial and torsion such that the followin
2/29/2016
Test 1
March 2nd / 4th (in case
of bad weather)
7:00PM 8:30PM
Hoch 114 & NSC 228
Test Format
Testing Theory
Short answers
Fill in the blank
Multiple choice
Testing Application
Sketching some concepts
Short problems
Long problems
What you c
Chapter 4
Stress, Strain and Deflection: For a prismatic bar (uniform cross-section),
b
P
P
A-A'
A-A'
L
L
L
P
, strain,
[for small L]
L
A
Stress, = E and cross-sectional area, A = bh
EA
EAL
Force, P A EA
, where
k Stiffness
L
L
So, P = k L
[spring anal
MAE 311: Machines and Mechanisms I
Course Project Overview
Spring 2016
Purpose
This semester long project will provide students with an opportunity to apply the fundamental theories
learned in the course to an existing engineered system. Students will abs
Chapter 5
Failure of Mechanical components: Three modes of failure:
1.
Static/steady loading
2.
Variable/oscillating/fluctuating loading
3.
Fatigue failure
Failure under steady loading causes yielding, which leads to failure. Failure theory explains why
c
xx
9 components of stress, yx
zx
xy
yy
zy
Equilibrium in x, y and z yields
x xy xz
Fx 0
x
y
z
xz x
yz yx
zz zx
y
y
yx
x
xy
y
zy
yz
z
Sections:
MWF
T,Th
T,Th
MWF
xz
yz
z
3:00 3:50
9:30 10:50
11:00 12:50
4:00 5:50
Section A
Section B
MAE 311: Machines and Mechanisms I
Activity #3
Spring 2016
Complete in Class
Purpose
This exercise is to get you comfortable with the concept of stress concentrations.
Exercise
Figure 3-30 Axially Loaded Component
See solution to Example 3-13
Determine ho
MAE 311: Machines and Mechanisms I
Activity #2
Spring 2016
Complete in Class
Purpose
This exercise is to get you comfortable with the concept of principal stresses.
Exercise
Determine the principal stresses and their directions for the following stress st
MAE 311: Machines and Mechanisms I
Assignment #1
Spring 2016
Complete in Class
Problem 1
For the given state of stress, draw and label the stress element.
a) xx = -500 psi, yy = 200 psi, zz = 0 psi, xy = 500 psi, yz = 0 psi , xz = 0 psi
200 psi
500 psi
y
MAE 311: Machines and Mechanisms I
In-class Activity #4
Spring 2016
Due at End of Class
Problem 1 (30 Points)
Plot the following sets of stress states on a set of principal axes (an example is provided in Figure 1A of
the Appendix). Calculate the factor o
MAE 311: Machines and Mechanisms I
In-class Activity #7
Spring 2016
Due End of Class
Solution
Exercise 1
For each scenario below do the following:
Identify the correct method of failure to investigate
Select an appropriate failure theory
Identify the mate
MAE 311: Machines and Mechanisms I
Assignment #8
Spring 2016
Purpose
This assignment provides additional practice to prepare you for your first exam. If you have significant
difficulty with this assignment, you should contact one of the course instructors
MAE 311: Machines and Mechanisms I
Name:
Spring 2015
Exam Solution
Exam #1
Print your name at the top each page. The point distribution is shown for each problem (this may be
helpful in allocating time for each question). Any instance of academic dishones
xx
9 components of stress, yx
zx
xy
yy
zy
Equilibrium in x, y and z yields
x xy xz
Fx 0
x
y
z
xz x
yz yx
zz zx
y
y
yx
x
xy
y
zy
yz
z
Sections:
T,Th
T,Th
T,Th
xz
yz
z
9:30 10:50
11:00 12:20
3:30 4:50
Section A
Section B
Section C
z xz
MAE 311: Machines and Mechanisms I
FEA Examples
Spring 2015
Purpose
This example set looks at how material properties, stress, strain, and deflection can be used to examine
bars and beams using the finite element analysis technique. These topics build off
DESIGN EVALUATION
The kindling splitter is an important device that has a very simple design with powerful
parameters, making it an effective tool for most people who work with lumber or for simply using
kindling for fire. Wood kindling can be challenging
Chapter 6
Failure under variable (non-monotonic) or cyclic loading: The followings are observed:
a)
Loading produces stresses those are variable, repeated, alternating, or fluctuating.
b)
Formation and observation of crack or crack network.
c)
Maximum str
Chapter 2
What is failure?
When we have loss of function
Rupture of component
Plastic deformation
Too much deformation
Buckling
Downgraded reliability
We will focus on rupture and yielding. We need to address uncertainty as well. We can think
about genera
MAE 311: Machines and Mechanisms I
Assignment #0
Spring 2015
Not Collected
Purpose
This homework reviews topics from previous courses which will be essential for your success in this
course. If you have significant difficulty with this assignment, you sho
MAE 311: Machines and Mechanisms I
Assignment #2 Solution
Spring 2015
Due Date: 2/27/2015
Problem 1
Determine the strain associated with the following stress states if carbon steel is used.
a) xx = 1000 psi, yy = 0 psi, zz = 0 psi, xy = 0 psi, yz = 0 psi,
Chapter 5
Failure of Mechanical components: Three modes of failure:
1.
Static/steady loading
2.
Variable/oscillating/fluctuating loading
3.
Fatigue failure
Failure under steady loading causes yielding, which leads to failure. Failure theory explains why
c
Chapter 4
Stress, Strain and Deflection: For a prismatic bar (uniform cross-section),
b
P
P
A-A'
A-A'
L
L
P
L
, strain,
[for small L]
A
L
Stress, = E and cross-sectional area, A = bh
EAL
EA
Force, P A EA
, where
k Stiffness
L
L
So, P = k L
[spring anal
MAE 311: Machines and Mechanisms I
Assignment #5 Solution
Spring 2016
Due Date: 04/07/2016
(4 8 = 32 Points)
Problem 1
For each situation shown below, identify the following:
a) Type of element required
(2)
b) Number of elements
(2)
c) Known nodal displac