056
CE 2313 / MAE 2312
Mechanics of Materials
Examination III
April 26, 2007
Name: _______________________________________
•
There are 4 numbered problems on this exam.
The relative weight of each problem is provided in
parentheses immediately after the problem number.
•
Time allowed for the exam is 80 minutes.
•
Read the problems carefully and don’t waste time doing work that is not requested.
•
Problem statements may include information that you do not really need.
•
Provided values have at least three significant digits even when not expressed that way.
•
Draw Free Body Diagrams (or other diagrams) when appropriate!!!!
•
Show each problem solution in detail.
Test credit will be based primarily on your solution method rather
than your numerical solution.
•
If you are filling each page, you are probably doing too much.
If you do need additional space for a
solution ask for a blank sheet of paper.
On that sheet, write the 3 digit test ID in the lower right corner
and clearly identify the part of the test you are working on.
Formulas
3
3
12
12
x
y
A
bh
I
hb
I
=
=
=
x
y
h
b
C
z
z
M
y
I
VQ
It
Qy
A
σ
τ
=−
=
′
′
=
'
''
cos 2
sin 2
22
sin 2
cos 2
2
xy
xx
y
x
y
σσ σσ
θτ
θ
σσ
τθ
+−
=+
+
−
2
2
1
2
2
2
tan 2
2
xy
p
xy
xy
=
+
⎛⎞
+
⎜⎟
⎝⎠
+
1.5
req'd
allow
max
allow
max
allow
max
allow
web
I
S
c
M
S
V
A
V
A
=
=
≥
≥
≥
()
2
2
2
2
dd
v
EI
w x
dx
dx
v
EI
V x
dx
dx
dv M
EI
dx
=
=
222
0
6
xa
Pbx
vL
b
x
EI L
≤≤
−
−
0
32
6
Mx
vx
L
x
L
EI L
−
+
3
2
24
wx
L
x
L
EI
−
+
P
v
x
a
b
L
v
x
L
w
v
x
L
M
0
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A point P is in a state of plane stress.
The diagram at the right
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 Summer '08
 FRANTZISKONIS
 Trigraph, Ay, ksi

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