Final Exam Paper For Those who are taking Degree Of Civil Engineering..Prepared By Universiti Malaysia Pahang

1. Universiti
Malaysia
PAHANG
Engineering . Technology. Creativity
FACULTY OF CIVIL ENGINEERING & EARTH RESOURCES
FINAL EXAMINATION
COURSE THEORY OF STRUCTURE
COURSE CODE BAA2113
LECTURER MOHD FAJ.ZAL BIN MD JAAFAR
MOHD ARIF BIN SULAIMAN
DATE 4 JANUARY 2012
TIME 3 HOURS
SESSION/SEMESTER SESSION 2OIII2OI2 SEMESTER I
PROGRAM CODE BAAiBAE
INSTRUCTIONS TO CANDIDATE:
1. This question paper consists of FIVE (5) questions. Answer ALL questions.
2. Answer question l, 2 and 3 in answer booklet (1) and other questions in answer
booklet (2).
3. All answers to a new question should start on new page.
4. All the calculations must be shown and assumptions clearly stated.
5. Candidates are not allowed to bring any material other than those allowed by the
invigilator into the examination room.
EXAMINATION REOUIREMENT :
1. Answer booklet - 2 booklets
DO NOT TURN THIS PAGE UNTIL YOU ARE TOLD TO DO SO
This examination paper consists of EIGHT (8) printed pages including front page.
Nir"'

2. CONFIDENTIAL BAA/BAE/ lJIzVB AA?IL3
QUESTION 1
I
,/") Draw the s.lastic cu_rJ*e for the beam due to a point load as shown in Figure Qla. Do
/ you think the maximum deflection will take place at the mid-span of the beam?
Identify the exact position where the maximum deflection.
(3 Marks)
B
Figure Qla
b) An overhanging steel beam AF and two short members welded together to form a
beam as shown in Figure Q1b. The beam carries a point load of 40 kN at point A
and a uniformly distributed load of 10 kN/m along segment CD. A horizontal load
of 50 kN is applied at the end of short member. Fl9Iyryl,!.{Sess is constant'
,tf Write down the elastic equations for the beam by using Mac-Caulay's
method.
(12 Marks)
Determine the location and largest deflection between span BE of beam
accurate to the nearest 0.01 m.
(5 Marks)
tJt
40 kN
I 0.8 m
| .r-t-l - .1.-l
I 2^ I 2^ I 2^ I 4* l1*l
ABCDEF
Figure QLb
2

3. CONFIDENTIAL BAA/B AE/ II I2ITB AA2 II3
QUESTION 2
Figure Q2 shows a rigid-jointed frame made of 4.-36 steel fixed at A and D. It carries a
uniformly distributed load of 15 kN/m on column CD and horizontal point load of 5 kN
at C. In addition, a simply supported beam EF was attached to member BC and carries a
uniformly distributed load of 30 kN/m along the span. Young's modulus for each
member is constant and the second moment area of each member is indicated in the
figure. By using moment distribution method, determine the bending moments at critical
points.
Note: Construct FOUR (4) loops of balance and answer should be given in two (2)
decimal points.
(20 Marks)
8m
15 kN/m
Figure Q2
J

4. CONFIDENTIAL BAAiBAB/ I I I2ITB A A2TI3
/ QUESTTON 3
a) State FIVE (5) main assumptions in the analysis of a coplanar truss.
(5 Marks)
b) An aluminum pin-jointed scissors truss shown in Figwe Q3 is supported by pin at
A and roller at B, respectively. A point load of 6 kN is applied at 60o from x-axis at
joint C, All members of the truss have an identical sectional area. Determine the
minimum required g!$Lsectianalarea for thepember if deflection at D is limited
to 10 mm. The Young's modulus of aluminum'(Euru)]is 70 GPa.
(15 Marks)
6kN
Figure Q3
4

5. CONFIDENTIAL BAAIBAE/ I II2I|B A A2 I 13
,l
QUESTION 4
?Y List TWO (2) differences between the diagrams of influence lines and structural
' ,.rponse such as shear force and bending moment diagrams.
(4 Marks)
/''"^''
'L--
Draw qualitative influence lines diagram for /shear at A for the beam shown m
Figures Q4a. r
-..'
(6 Marks)
-.'----
-
A
I
W
P
Figure Q4a

6. BAAIBAE/III2I1B.AA?LL3
Figure Q4b shows a statically determinate overhanging beam AC with span of
4.5 m. The beam is subjected to a series point loads which is travelling in either
direction along the beam. Determine the absolute moment for the beam.
(10 Marks)
10 kN ls kN i0 kN 20 kN 30 kN
ffi,@,
' 4.5m ' 4.5m
A
Figure Q4b

7. CONF'IDENTIAL BAA/BAE/III2TTBAA2LI3
/ QUESTION s
lq
A three-hinged arch shown in Figure Q5 canies a linearly distributed load of ffi. kNlm
along segment BC and an inclined load of 30 kN at point D.
//'
iy Calculate the height of arch, h.
(2 Marks)
w Determine the reactions at supports A and B.
(6 Marks)
iit) Determine all the internal forces at point E'
(12 Marks)
kNim
*
z.
Ll
4
sir 6+ '>
lhL
L:
C
3.28 m
I
Figure Q5
END OF QUESTION PAPER