EXAMINATION PAPER
School of Architecture, Design and the Built Environment
Module Code: DESN10046
Module Title: Introduction to Structural Engineering
Examination Date: TBC
Examination Time: TBC(3 hours)
INSTRUCTIONS TO CANDIDATES
Section A – Answer all questions
Section B – Answer 3 questions from a choice of 5
All questions carry equal marks.
A grade conversion table will be used to translate marks to a corresponding grade
on the NTU scale
Assume g = 9.81 m/s2 as necessary
You are provided with the following:
Answer Book
Graph paper (3 sheets)
You may use the following materials:
Non-programmable, non-graphing calculators
INTRODUCTION TO STRUCTURAL ENGINEERING
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SECTION A – ANSWER ALL QUESTIONS
1.
For the simply supported beam shown in Figure Q1:
(i) Determine the support reactions.
(4 marks)
(ii) Draw a shear force diagram showing principal values.
(8 marks)
(iii) Draw a bending moment diagram showing principal values.
(8 marks)
5kN
80kN
10kN/m
1m
5m
Figure Q1
1m 1m
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SECTION A
2.
/ continued
Determine the magnitudes and natures of the forces in the members of
the pin-jointed truss shown in Figure Q2.
(Note: Little credit will be given unless the forces and their natures are
clearly illustrated on a diagram of the truss).
(20 marks)
4m
4kN
4kN
8kN
8kN
20kN
3m
3m
3m
Figure Q2
3m
3m
3m
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SECTION B – ANSWER ANY THREE QUESTIONS
A singly symmetric timber section, shown in Figure Q3, is used as a simply
supported beam having a span of 4m. Determine the maximum tensile
and compressive bending stresses induced in the section due to a
uniformly distributed load of 5kN/m.
100
(20 marks)
200
3.
(mm)
100
100
Figure Q3
100
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SECTION B / Continued
(a)
Use the method of sections to determine the magnitudes and natures of
the forces in members X, Y and Z of the pin-jointed truss shown in
Figure Q4a.
(10 marks)
2
10kN
X
Z
Y
2
10kN
2
4.
2
2
2
4
(m)
Figure Q4a
(b)
Determine the magnitude, direction and line of action of the resultant
for the non-concurrent coplanar forces shown in Figure Q4b.
(10 marks)
20kN
10kN
40kN
20kN
o
o
60
60
1m
3m
Figure Q4b
1m
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SECTION B / Continued
5. (a) Indicate the directions of the force reactions at the supports of the beams
shown in Figure Q5a. All loads are equal in magnitude (point loads) or
intensity (distributed loads).
Sketch, also, approximate shear force and bending moment diagrams for
the beams.
(10 marks)
=
=
(ii)
(i)
Figure Q5a
(b)
Determine the reactions at the support point for the beam shown in
Figure Q5b.
(10 marks)
60kN/m
10kN
2m
1m
3m
Figure Q5b
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SECTION B / Continued
6.
A steel beam has an I-section of overall depth (D) of 540mm and second
moment of area about its major axis (Ixx) of 66800cm4. Determine the
maximum span over which the beam, when simply supported, can carry a
uniformly distributed load of 20kN/m along entire span. Given that the
deflection must not exceed 15mm and the bending stress is limited to
180N/mm2.
(Esteel = 200KN/mm2; Central deflection due to uniformly distributed load of
total load (W), acting on a simply supported beam of span (L) is
5WL3/(384EI)).
(20 marks)
7.
The short column shown in cross section in Figure Q7 is subjected to the
compressive loads indicated. Determine the stresses at points A, B, C and
D shown in the figure.
(20 marks)
Figure Q7
END OF PAPER
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