FINAL EXAMINATION 2020-21
Code and Name of Course: CVNG 2001 Structural Mechanics
Duration: 2 hour
3
INSTRUCTIONS TO CANDIDATES: This paper has
pages and
3
questions.
Answer ALL Questions
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exam script. Candidates are NOT allowed to collaborate on this exam.
Save file as studentID.pdf and write your name and ID on every page.
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Page 2
Q1
Marks
Figure 1 shows a truss with a roller support at A and a pin support at C. All members have
properties A = 500 mm2 and E = 200 GPa. Find the vertical deflection of joint D using the
virtual work method.
30
C
4m
D
B
40 kN
4m
40 kN
A
3m
Figure 1
Q2
The simply supported beam shown in Figure 2 is pin supported at A and roller supported at
D. Apply the Mueller Breslau’s Principle to:
a) Construct the influence lines for the vertical reaction at support A
5
b) Construct the influence lines for the vertical reaction at support C
5
c) Construct the influence lines for the shear at point B
10
d) Construct the influence lines for the bending moment at point B
10
e) Find the maximum possible value of the moment at point B if a 50 kN point load can be
places anywhere along the beam.
A
C
B
6m
5
6m
Figure 2
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Page 3
Q3
The continuous beam shown in Figure 3 has a symmetric cross section as shown. The beam
has a yield stress of 400 N/mm2.
300 mm
100 kN
100 kN
20 mm
B
A
400 mm
20 mm
2m
4m
C
3m
3m
20 mm
300 mm
Figure 3
a) Determine the elastic yield moment and the plastic moment for the beam
10
b) Determine the shape factor for the beam.
10
c) Sketch the collapse bending moment and collapse mechanism for the beam separately.
10
d) Find the critical collapse load for the beam.
5
END OF QUESTION PAPER
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