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CIV352F_2017_INFRASTRUCTUREENGINEERING_E.pdfI UNIVERSITY OF TORONTO FACULTY OF
Page 1
I
UNIVERSITY OF TORONTO
FACULTY OF APPLIED SCIENCE AND ENGINEERING
FINAL EXAMINATION
DECEMBER
2017
Third Year Infrastructure Engineering
CIV352F 
Structural Design I
Exam Type: D
Examiner 
E.C. Bentz
Ensure that you have all the pages.
There are blank pages
·at
the end
if
you need extra space
Integration tables will be handed out during the exam.
NAME:
________
_
1
ID Number:
________
_
2
3
4
5
Total
Page 1
of
12
pages
Page 2
''
1:
Short answers.
(5
marks each)
a)
Sketch a plot
of
the shear stress that can be resisted by the web
of
plate girder showing the case
both with and without stiffeners. Label the important sections on the plot. (You
don't
need to do
any calculations or show any numerical limits to the different parts
of
the curve, just indicate
what behaviour is associated with what part
of
the curve).
b)
Determine the horizontal and vertical displacement at the load application point in the following
structure by the Principle
of
Virtual Work. EI is constant. Carefully sketch the displaced shape
as well.
L
L
L
L
Page 2
of
12
pages
Page 3
c)
By what scale factor lambda can we proportionally increase the shown applied stresses before we
reach failure by the VonMises failure criterion?
(Fy
= 250 MPa) (note vertical stress is 30 MPa
compressive, labelled as 30 MPa tensile stress)
sigy = 30 MPa
L
shear=
24 MPa
iD~=SOMPa
T
d)
Determine the
ZJS
ratio for this section made out
of
25
mm thick plates. Also find the plastic
moment capacity
if
Fy = 500 MP
a.
(1=263 .3x 10
6
mm
4
,
elastic N
.A.
= 168 mm from bottom)
300
Page 3
of
12
pages
0
0
C"')
25
200
Page 4
2) The simply supported bridge shown below is subjected to loading from the one car train which travels
back and forth on a 1
km
rail line that includes the bridge. When going to the right (and full
of
coal) it
has a total weight
of
400 kN, and when going to the left (and empty), it has a weight
of
180 kN. Draw
and label influence lines for the internal bending moment over the left support as well as for the internal
bending moment at midspan. Determine the flexural stress range at both locations when the train car is
empty and when it is full.
Using the fatigue plot shown, determine how long the bridge might last
if
the
car makes
10
round trips (there and back) per day. State all assumptions. (Section Modulus
"S"
of
the
bridge is 32 x 10
6
mm
3
)
(15 marks)
1000
~
wheels
4 m
apart
COAL
\~
I
10m
I
10+~~~~~~~~'t~~~
....
,
10000
100000
1000000
10000000
Cycles
Page 4
of
12
pages
50m
~
7
I
1am
I
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