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Unformatted text preview: McGILL UNIVERSITY .
FACULTY OF ENGINEERING
Department of Civil Engineering and Applied Mechanics CIVE 317 Structural Engineering I
FINAL EXAMINATION CoExaminers: Prof. .G. McClure Date: 18 December 2006
Prof. S. Shrivastava Time: 9h00 — 12h00 NOTES: , This is an open book examination. The facultyapproved calculator is the only type permitted.
The questionnaire contains 5 pages. ‘
Attempt all six parts. The examination will be marked out of 100. 9:593”? Part 1 (20 marks total)
a) 15 marks 7
Use the principle of virtual work with visual integration to compute the vertical
displacement of joint D for the structure in Fig. 1 due to the load shown. The pole
structure(member AC) is a steel tube with I = 2 x 107 m4. Member DC is a steel
cable with a crosssectional area of 32 m2. MemberDB is a rigid strut that can
resist axial forces only. Take Ema = 200 GPa. '
b) 5 marks
If a turnbuckle is used to remove 100 mm of cable length in DC, how does it affect
the displacements at D? Does it affect the stress state in the pole? Justify your answer. 3m 9m W ' Figure 1 Part2 (20 marks) Consider the plane ﬂame of Fig. 2. Calculate the ﬂexibility matrix corresponding to the three degrees of freedom at joint No. 1. You may use the analysis method of your choice _ to determine the ﬂexibility coefﬁcients. Neglect the axial and sheardeformations in the
ﬂame. ' ' 1'5'01kN ~ m @ ' 10m E V: 200 GPa 
I: 4100. (106) m4
A. = 4,000 Figure 2 . "s": Part 3 (15 marks) Sketch the quantitative inﬂuence lines of the beam shown in Fig. 3 for:
/a)’ The vertical reaction at support A;
b) The vertical reaction at the ﬁxed end B;
c) The ﬁxedend moment ME. Repeat for the beam where the hinge at C is removed (obtain qualitative lines only this
time) so that AB is continuous. In each case indicate the loading pattern (partial or full uniform load) that creates the
most critical effects.  Comment on the effect of the internal hinge on the support reactions. Figure 3 Part 4 (20 marks total) Consider again the plane frame shown ianig. 2. Use the conventions shown for labelling
joints, members and degrees of freedom. State clearly the set of units used.
4 marks
Obtain the local stifﬁress matrices for the two members. I
Mmarks
Transform the local stiffness matrices obtained in a) in the global coordinate system.
c) 4 marks
Assemble the partition S of the global stifﬁress matrix corresponding to the free degrees
of freedom.
(1) 1 mark 
Establish the load vector {Q} and write the system of equations {Q} = S {d}.
e) 4 marks
Our teaching assistant has run a computer analysis of this problem and found the
displacements {d}T = 10'4 [0.5924m, 1.0259m, —24.829rad]. Calculate the support
reactions and the end forces on the members using the element matrices found in a) and
b).
' f) 3 marks
Sketch the internal force diagrams (axial forces N, shear forces V and bending
moments Mf) in the structure. ' Part 5 (5 marks) List ﬁve design criteria for your large screen support design project. Indicate whether
they are “structura ” or “non structura ”. ‘ Part 6 (20 marks total) Figure 6 shows typical elevations and a plan View of the steel structure of an industrial
building located in Laval. Details are not repeated here but you will have recognized the
problem of Assignment 1 Part 4. Without performing calculation , describe how the
loads are resisted by the structure, from the direct surface of application (roof or walls) to
the foundation, for the following loads: a) 8 marks _ The roof gravity loads b) 4 marks The roof wind suction loads. ' c) 6 marks The wall wind loads. (1) 2 marks The earthquake effects. Figure 6 Rant wind, 5"th _
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 Fall '08
 MCCLURE

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