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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
CoExamincrs: Prof. G. McClure Date: 8 December 2005
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 60. WPPNT‘ Part 1 (10 marks total)
a) 8 marks
Use the principle of Virtual work to compute the horizontal displacement of joint E of
the structure in Fig. 1 due to the load shown. Take E = 20.7 x 103 kN/cmz.
b) 2 marks
Compute the horizontal displacement of joint E due to the following support
movements:
At a, horizontal, 0.0050 m to left
At a, vertical, 0.0075 m down
At c, vertical, 00025 H] down. Figure l Part 2 (15 marks total) Consider the steel (E = 200 GPa) plane frame shown in Fig. 2. Supports A and D are
ideal pins. The external loads shown on the frame are due to climatic effects. One of the
serviceability design criteria stated in the National Building Code of Canada is that the
lateral drift be limited to 1/500 of the storey height (6 mm in this case). Assuming the
same steel shape is used for all the frame members, you want to determine the minimum
second moment of area (I in mm”) needed for the frame to achieve this structural
performance criterion. Outline in point form the detailed procedure (sequence of solution steps) you would take
to solve this problem using the ﬂexibility method. Give as many details as practical without performing any detailed calculation. In particular, indicate which sketches which analyses you need to do, under what loading condition(s) and support conditions. State
the compatibility equation(s) and the equations needed to ﬁnd the ﬂexibility coefﬁcients
and the displacements whenever relevant. Figure 2 1 kN/m
B
C .
3 kN
3 m
A D
4—————~—>
4 In Part 3 (10 marks total) Sketch the qualitative inﬂuence lines of the continuous beam shown in Fig. 3 and
determine the critical loading patterns for:
a) The bending moment at O and the loading for the maximum positive value of Mo;
b) The bending moment at support D and the loading for maximum negative Mp;
C) The shear force at the right of support B and the loading for maximum positive
VB (Tight);
d) The vertical reaction at support A and the loading for maximum positive RA. Figure 3 Part 4 (10 marks) Develop the global stiffness matrix S for the plane truss shown in Fig. 4. Use the
conventions shown for labelling joints, members and degrees of freedom. Assemble only
the partition of the global matrix that corresponds to the FREE degrees of freedom. Take
EA = 144 000 kips (1 kip = 1000 lbs) constant for all bars. State clearly the set of units used. Figure 4 Part 5 (10 marks total) Figure 5(a,b) shows the typical elevation and a plan view at the library ﬂoor level of the
exhibition hall building you had to consider in the mid term examination. The library
ﬂoor, which provides the ceiling for the exhibition area, is hung from a large roof truss as
shown. The ﬂoor concrete slabs all have oneway action in the direction shown. Ties and
hangers are pinended members: ties typically resist transverse loads while hangers are
tensile members. Without performing calculations, describe how the loads are resisted by the structure,
from the direct surface of application to the foundation, for the following loads: a) 5 marks The library ﬂoor loads in the portion above the exhibition space (i.e. between lines B and C) . b) 2 marks The roof snow loads. c) 3 marks The wall wind loads. Part 6 (5 marks) Compare advantages and disadvantages of determinate structures vs. indeterminate
structures. Be concise (maximum 8 lines!). Figure 31 Typical elevation section . muss M05 mm” J C“? i o Uﬂmmt m. mmiéég I A. {WW3} _Po§£§>/bt¢ af #09564” \E I? l 7530 204, 7% L2;
I 7W0 WNW My
MYWTE INN/v I; ...
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