THE UNIVERSITY OF WESTERN ONTARIO
FACULTY OF ENGINEERING
DEPARTMENT OF CIVIL AND ENVIRONMENTAL ENGINEERING
ES022Y – ENGINEERING STATICS
FINAL EXAMINATION
APRIL 16, 2008 (2:00-5:00 PM)
INSTRUCTORS: R.E. BADDOUR / D.R. INCULET
Limited Open Book
The only external aid allowed is an electronic calculator.
Notes: Question Mark
1. There are six questions. 1 / 15
2. Each question is worth 15 marks for a total of 90 marks.
3. This exam is worth 30% of the final mark for the course. 2 / 15
4. Answer all questions in the space provided. 3
5. Indicate if answers are continued on last empty page
/ 15
provided 4 / 15
6. Draw proper free body diagrams as required.
7. Show all steps and calculations clearly. 5 / 15
8. Specify all units with proper prefixes.
9. Give all final answers to 3 significant figures. 6 / 15
10. Marks will be deducted for poor diagrams and presentation.
11. If you believe that information needed to answer a question
is missing, make an assumption and state it clearly. Total Mark / 90
12. Proctors are not allowed to answer any exam-related
question.
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Signature _________________________________ Lecture Section: _____________________
ES022Y – ENGINEERING STATICS – FINAL EXAMINATION 2
April 16, 2008 (2:00-5:00 pm)
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Question 1
Determine the x-coordinate, XC , of the centroid of the
solid body shown in the Figure. The body consists of a
cylinder with a circular hole of length h = 60 mm.
C
XC
ES022Y – ENGINEERING STATICS – FINAL EXAMINATION 3
April 16, 2008 (2:00-5:00 pm)
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Question 1 (cont.)
ES022Y – ENGINEERING STATICS – FINAL EXAMINATION 4
April 16, 2008 (2:00-5:00 pm)
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Question 2
The gate AB located at the end of a water tunnel is 1.5 m
long and 3 m wide perpendicular to the paper. The gate
is hinged to the fixed block at A and kept closed with the 2m
horizontal force P.
A
Determine the minimum required force P.
m
γ = 10 kN m3
1. 5
Note: Neglect the weight of the gate.
B 60o
P
ES022Y – ENGINEERING STATICS – FINAL EXAMINATION 5
April 16, 2008 (2:00-5:00 pm)
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Question 2 (cont.)
ES022Y – ENGINEERING STATICS – FINAL EXAMINATION 6
April 16, 2008 (2:00-5:00 pm)
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Question 3
Draw the shear and bending moment diagrams for the
beam ABC. A roller at C and a pin at A support the
beam. Show on the diagrams the values at A, B and C.
Note: Neglect the weight of the beam.
ES022Y – ENGINEERING STATICS – FINAL EXAMINATION 7
April 16, 2008 (2:00-5:00 pm)
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Question 3 (cont.)
ES022Y – ENGINEERING STATICS – FINAL EXAMINATION 8
April 16, 2008 (2:00-5:00 pm)
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Question 4
The lift force along the wing of an aircraft consists
of:
1) a uniformly distributed load of 2880 lb/ft
along AB, and
2) a semiparabolic distribution along BC with
w = (2880-5x2) lb/ft with origin at B.
Replace this loading by a single resultant force
and specify its location measured from point A.
ES022Y – ENGINEERING STATICS – FINAL EXAMINATION 9
April 16, 2008 (2:00-5:00 pm)
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Question 4 (cont.)
ES022Y – ENGINEERING STATICS – FINAL EXAMINATION 10
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Question 5
w = 100 N/m
The frame is supported by pins at A and C,
and members AB and CB are pinned at B.
Determine the axial force, shear force and
bending moment acting on the cross section
at D. Clearly show these internal forces on an
appropriate free body diagram.
Notes:
1. The uniform distributed load has a
value of 100 N/m, as indicated.
2. Neglect the weight of the members.
ES022Y – ENGINEERING STATICS – FINAL EXAMINATION 11
April 16, 2008 (2:00-5:00 pm)
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Question 5 (cont.)
ES022Y – ENGINEERING STATICS – FINAL EXAMINATION 12
April 16, 2008 (2:00-5:00 pm)
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Question 6
The uniform 400 kg crate is in equilibrium and
supported at F and G by the symmetrical lifting
tongs, as shown. Determine the force in link AB
of the lifting tongs, and indicate whether it is in
tension or compression.
Notes:
1. Members CBG and DAF cross without
touching.
2. Neglect the weight of the members.
ES022Y – ENGINEERING STATICS – FINAL EXAMINATION 13
April 16, 2008 (2:00-5:00 pm)
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Question 6 (cont.)
ES022Y – ENGINEERING STATICS – FINAL EXAMINATION 14
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