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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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
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
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
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
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
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
9/15/2015
Mechanics of Materials MAE 243
Lecture 12
Fall 2015
Dr. Edward M. Sabolsky
4.4: Statically Indeterminate Structures Summary
Solving indeterminate structures require
solving simultaneously:
1) Equations of equilibrium
2) Equations of compatibilit
(20) 2. The cylindrical pressure vessel has an inner
radius of 1.5 m and a wall thickness of 20
mm. It is made from steel plates that are
welded along the 45 seam as shown. The
vessel is subjected to an internal pressure of
10 MPa.
Conrm the assumption
' l
Circle your section: AlAzzawi Banerjee Kang , . lUVlAlOl/L"
, ' I Name
MAE 243 Mechanics, of Materials  Fall 2014
Test #1 October 1, 2014
l. (a) An aluminum bar (E = 70 GPa & v =O.33) of diameter 20 mm is stretched by axial forces P,
causing its di
MAE 243 Mechanics of Materials Sample Final
Problem 3 ngPoints!
A 1011 long wooden beam consists of two 2X6 boards (which are really 1.5><5.5 in. in size) connected
by 1% in.thick plywood webs as show. The beam is simply supported and carries a concentra
Circle your section:
_
Name
MAE 243 Mechanics of Materials Sample Final Solution
Problem #
1
2
3
4
5
6
7
Minus Points
Problem 1 (10 Points) Explanations are necessary
(a)
How is stress different from pressure?
Pressure is a scalar while stress is a tensor
Circle your section: Muchenik
Sabolsky
_
Name
MAE 243 Mechanics of Materials
Test #3
Problem #
1
Fall 2015
December 3, 2015
2
3
4
Total
Points
(10) 1. (a)
Give two uses for the first moment of the area.
To find the centroid and the flexural shear stress.