MAE, 243

Worksheet Chapter I
Determine the resultant internal
loadings in the beam at cross sections
through points D and E. Point E is just
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11/18/2011
Mechanics of Materials MAE 243
Lecture 38
Autumn 2011
Dr. Edward M. Sabolsky
11.2: Prismatic Beam Design
If the crosssection of a beam is symmetric with respect to the zaxis as
well as the yaxis then we have:
or
For a beam of rectangular cr
MAE 243 — Worksheet Chapter 3
1. A specimen is originally 1 ft long, has a diameter of 0.5 in, and is subjected to a force of
500 lb. When the force is increased from 500 lb to 1800 lb, the specimen elorigates 0.009
in. Determine the modulus of elasticity
Circle your section: Mukdadi Sivaneri Banerjee
_SOLUTION_
Name
MAE 243 Mechanics of Materials
Test #2
Problem #
1
Spring 2016
March 29, 2016
2
3
4
Total
Points
I pledge that I have neither knowingly given nor received any inappropriate assistance in this
Circle your section: Banerjee Mukdadi Sivaneri
_Solution_
Name
MAE 243 Mechanics of Materials
Test #3
Problem #
1
Spring 2016
April 19, 2016
2
3
4
Total
Points
I pledge that I have neither knowingly given nor received any inappropriate assistance in this
Circle your section:
_SOLUTION_
Name
MAE 243 Mechanics of Materials
Sample Test #2 Soln.
Problem #
1
2
3
4
Total
Points
(10) 1. (a)
What is the restriction on the shape of the cross section in order to use the torsion
equations derived in class? [2 Pts.]
MAE 243 _ Worksheet Chapter 4
1. The composite shaft, consisting of
Aiminum Copper Steel
aluminum, copper, and steel sections, is £31 = 13413.03} ksi Em n 1843113} kn ESL =29§10§ 'ksi
. . .  _ ‘ 1 _ T 2 _. ' 2
sub} ected to the loading shown. Det
MAE 243 — Worksheet Chapter 2
1. The piece of plastic is originally
rectangular. Determine the average normal
strain that occurs along the diagonals AC
and DB, and determine the shear strain at
corners A and B. MAE 243 m Worksheet Chapter 2
2. The p
Circle your section: Song Liu Sivaneri
_Solution_
Name
MAE 243 Mechanics of Materials
Test #1
Problem #
1
Spring 2015
February 19, 2015
2
3
4
Total
Points
1. (a)
An aluminum bar (E = 72 GPa & = 0.33) of diameter 50 mm cannot exceed a diameter of
50.1 mm w
11/18/2011
Mechanics of Materials MAE 243
Lecture 37
Autumn 2011
Dr. Edward M. Sabolsky
Test 3
Wednesday 11/16/11
7:309 pm
MRB 113
1
11/18/2011
Homework #12
112
115
1111
1121
123
126
1221
2 Ming Eing problems
Due Nov. 30th, 2011
Problem 10: Forces
11/8/2011
Mechanics of Materials MAE 243
Lecture 34
Autumn 2011
Dr. Edward M. Sabolsky
9.5: Triaxial Stress
Since there are no shear stresses on the x,y and z faces, the stresses
x,y, z are the principal stresses.
If an inclined plane parallel to the z
11/29/2011
Mechanics of Materials MAE 243
Lecture 40
Autumn 2011
Dr. Edward M. Sabolsky
Homework #13
1287
1289
1291
1293
1320
1323
1331
2 Ming Eing problems
Due Dec. 7thth, 2011 by 3pm at my office
(underdoor or in Hwk box outside door)
1
11/29/201
11/27/2011
Mechanics of Materials MAE 243
Lecture 39
Autumn 2011
Dr. Edward M. Sabolsky
Deflection by Integration of the
ShearForce and Load Equations
d 2v
EI 2 M
dx
BENDING MOMENT
EQUATION
EIv" M
d 3v
EI 3 V
dx
SHEAR FORCE
EQUATION
EIv' ' ' V
EI
d 4v
q
11/13/2011
Mechanics of Materials MAE 243
Lecture 35 (Review Combined Loading)
Autumn 2011
Dr. Edward M. Sabolsky
The cantilever beam has a rectangular cross section and is subjected to the loading shown.
(a) Determine the components of stress x, y, and x
11/14/2011
Mechanics of Materials MAE 243
Review Chap. 8, 9, and 10
Autumn 2011
Dr. Edward M. Sabolsky
Test 3
Wednesday 11/16/11
7:309 pm
MRB 113
1
11/14/2011
Plain Stress
Plain Stress and the Stress Element
When a body is loaded by normal and shear str
12/4/2011
Mechanics of Materials MAE 243
Final Review
Autumn 2011
Dr. Edward M. Sabolsky
MAE243 Final
Thursday
December 15th
79 pm
G39
1
12/4/2011
Chapters
Chapter 12 Statics, Normal Stress and Strain, and Shear
Stress and Strain
Statics and cutting b
Circle your section:
_
Name
MAE 243 Mechanics of Materials
Sample Test #1
Problem #
1
2
3
4
Total
Points
(10) 1. (a)
The stressstrain curve for steel alloys has a pronounced yield region identified as y.
Other materials such as aluminum alloys do not exh
Solution
Name
Circle your section:
MAE 243 Mechanics of Materials
Sample Test #1 Soln.
The stressstrain curve for steel alloys has a pronounced yield region identiﬁed as oy.
Other materials such as aluminum alloys do not exhibit such behavior; explain ho
9/10/2015
Mechanics of Materials MAE 243
Lecture 10
Fall 2015
Dr. Edward M. Sabolsky
4.2: Changes in Length Under Nonuniform Conditions
A prismatic bar of linearly elastic material loaded only at the
ends changes in length by:
This equation can be us
9/17/2015
Mechanics of Materials MAE 243
Lecture 13
Fall 2015
Dr. Edward M. Sabolsky
Review Setup to Example Problem
A horizontal rigid bar AB is pinned at end A and supported by two wires at
points D and F. A vertical load P acts at end B of the bar. The