Semester One Final Examinations, 2018 CIVL3340 Structural Analysis
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This exam paper must not be removed from the venue


School of Civil Engineering
EXAMINATION
Semester One Final Examinations, 2018
CIVL3340 Structural Analysis
This paper is for St Lucia Campus students.
Examination Duration: 180 minutes
Reading Time: 10 minutes
Exam Conditions:
This is a Central Examination
This is a Closed Book Examination - specified materials permitted
During reading time - write only on the rough paper provided
This examination paper will be released to the Library
Materials Permitted In The Exam Venue:
(No electronic aids are permitted e.g. laptops, phones)
Calculators - Casio FX82 series or UQ approved (labelled)
Materials To Be Supplied To Students:
2 x 14 Page Answer Booklet
1 x 1cm x 1cm Graph Paper
Instructions To Students:
Additional exam materials (eg. answer booklets, rough paper) will be
provided upon request.
Please use separate answer book for Sections A and B
Answer any 4 questions. Each question carries 25 marks.
Venue ____________________
Seat Number ________
Student Number |__|__|__|__|__|__|__|__|
Family Name _____________________
First Name _____________________
For Examiner Use Only
Question Mark





















Total ________
Semester One Final Examinations, 2018 CIVL3340 Structural Analysis
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IMPORTANT: ANSWER ANY 4 QUESTIONS

SECTION A

Use any of the following methods for solving questions in Section A:
(1) Three-moment equation;
(2) Slope-deflection equations;
(3) Moment distribution;
(4) Column analogy;
(5) Unit-load method
Useful formulae are given in Appendix A.

Question 1

Draw the bending moment diagram for all members of the frame in Fig 1. The vertical
load of 100 kN is acting at mid-span of BC whereas the lateral load of 100 kN is acting at
B. Note that A and D are fixed ends and the second moment of area I of all members are
the same. Beam BC is horizontal before deformation. (25 marks)


Question 2

(a) Draw the bending moment diagram for the fixed-ended beam with non-uniform cross
section as shown in Fig 2a. Note that the point load is applied right at the interface of
the two cross sections. (5 marks)
(b) Determine the bending stiffness of the member at B and at C. (5 marks)
(c) What are the carry-over factors from B to C and vice versa? (5 marks)
(d) By using the results obtained above, or otherwise, draw the bending moment diagram
of the continuous beam in Fig 2b. Note that A and B are rollers while C is a fixed
end. There is a downward settlement of 12 mm at B. Take EI = 100,000 kNm
2
.
(10 marks)


Question 3

(a) In a multi-span continuous beam, the maximum moment for design can be reduced
by the principle of moment redistribution. Explain, with the aid of diagram, how it is
possible. Can moment redistribution occur in a simply-supported beam? Why?
(5 marks)
(b) Determine the elastic load-carrying capacity of the two-span continuous beam shown
in Fig 3. Given that the design sagging and hogging moment capacities of the beam
= 10 kNm. Note A is a fixed end while B and C are rollers. (5 marks)
(c) Determine the location of the first plastic hinge and the respective load P. (5 marks)
(d) Determine the location of the second plastic hinge and the respective load P.
(5 marks)
(e) Determine the collapse load and state which span will fail. (5 marks)


Semester One Final Examinations, 2018 CIVL3340 Structural Analysis
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SECTION B

Question 4

A truss structure composed of four nodes and three elements is shown in Fig 4. A 5kN
load hangs from node 4, however after the load was applied, it was noticed that the
support at node 1 had settled downwards by 5mm. Using the DIRECT STIFFNESS
METHOD, calculate member forces, support reactions, and nodal displacements. For all
members E=250GPa and A=400 mm
2
. (25 marks)



Question 5

Shown in Fig 5 is a continuous beam structure. For all members E=200GPa and I=2 x 10
8

mm
4
.

Using STRUCTURAL ANTI-SYMMETRY and the DIRECT STIFFNESS
METHOD, calculate support reactions and member forces arising from the applied UDL
w. Assume L=4m and w=2kN/m. (25 marks)



















Semester One Final Examinations, 2018 CIVL3340 Structural Analysis
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FIGURES










Fig 1 A frame subjected to vertical and lateral loads











Fig 2a Fixed-ended beam with non-uniform cross section










Fig 2b Two-span continuous beam with non-uniform cross section



B
C
6m, EI 6m, 3EI
100 kN
100 kN
10 m 15 m
100 kN
60  A
B
C
D
I
I
I
7.5 m
C
100 kN
6 m
12 kN/m
A B
6m, EI 12m (EI same as Fig 2a)

12 mm (downward)
Semester One Final Examinations, 2018 CIVL3340 Structural Analysis
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Fig 3 A two-span continuous beam







Fig 4 A truss structure with four nodes and three elements






Fig 5 A continuous beam




8 m, 2EI 8 m, EI
A
P
B C
4 m
Semester One Final Examinations, 2018 CIVL3340 Structural Analysis
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Appendix A (for Section A)

Fixed-end moment
















Three-moment equation:



Slope-deflection equations:



Modified slope-deflection equation:




Semester One Final Examinations, 2018 CIVL3340 Structural Analysis
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Appendix B (for Section B)

























END OF EXAMINATION


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END OF EXAMINATION