UniversitiMalaysiaPAHANGEngineering . Technology. Creativity

FACULTY OF CIVIL ENGINEERING & EARTH RESOURCES

FINAL EXAMINATION

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

COURSE

COURSE CODE

LECTURER

DATE

TIME

SESSION/SEMESTER

PROGRAM CODE

THEORY OF STRUCTURE

BAA2113

MOHD FAJ.ZAL BIN MD JAAFARMOHD ARIF BIN SULAIMAN

4 JANUARY 2012

3 HOURS

SESSION 2OIII2OI2 SEMESTER I

BAAiBAE

This examination paper consists of EIGHT (8) printed pages including front page.

N\i\\r"'

I

CONFIDENTIAL BAA/BAE/ lJIzVB AA?IL3

QUESTION 1

,/") 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 equationsmethod.

Determine the location and largest

accurate to the nearest 0.01 m.(5 Marks)

tJt

40 kN

0.8 m

for the beam by using Mac-Caulay's

(12 Marks)

deflection between span BE of beam

I| .r-t-l - .1.-l

I 2^ I 2^ I 2^ I 4* l1*lABCDEF

Figure QLb

2

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

Figure Q2

J

15 kN/m

/

CONFIDENTIAL BAAiBAB/ I I I2ITB A A2TI3

QUESTTON 3

a) State FIVE (5) main assumptions in the analysis of a coplanar truss.

(5 Marks)

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

b)

4

CONFIDENTIAL

QUESTION 4

BAAIBAE/ I II2I|B A A2 I 13

,l

?Y List TWO (2) differences between the diagrams of influence lines and structural

' ,.rponse such as shear force and bending moment diagrams.

(4 Marks)

Draw qualitative

Figures Q4a.

W

/''"^''influence lines diagram for /shear at A'L--

\r

-..'

for the beam shown m

(6 Marks)

-.'---- -

AI

P

Figure Q4a

BAAIBAE/III2I1B.AA?LL3

Figure Q4b shows a statically determinate overhanging beam AC with span of4.5 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)

ffi,@,' 4.5m ' 4.5m

Figure Q4b

A

10 kN ls kN i0 kN 20 kN 30 kN

/

CONF'IDENTIAL

QUESTION s

A three-hinged arch shown in Figure Q5 canies a linearly distributedalong segment BC and an inclined load of 30 kN at point D.

Calculate the height of arch, h.

Determine the reactions at supports A and B.

Determine all the internal forces at point E'

//'iy

w

iit)

4

sir 6+ Ll

'>lhLL:

C

Figure Q5

BAA/BAE/III2TTBAA2LI3

lqload of ffi. kNlm

(2 Marks)

(6 Marks)

(12 Marks)

kNim *z.

3.28 m

I

END OF QUESTION PAPER