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					CONFIDENTIAL                                                                      AP/OCT 2003/QSD103




                                 UNIVERSITI TEKNOLOGI MARA
                                      FINAL EXAMINATION



     COURSE                           PRINCIPLES OF STRUCTURES
     COURSE CODE                      QSD103
     DATE                            14 OCTOBER 2003
     TIME                             3 HOURS (9.00 a.m -12.00 p.m)

     FACULTY                          Architecture, Planning and Surveying
     SEMESTER                         June 2003 - November 2003
     PROGRAMME/CODE                   Bachelor of Quantity Surveying (Hons.) / AP224
                                      Diploma in Quantity Surveying / AP114



INSTRUCTIONS TO CANDIDATES

1.          This question paper consists of five (5) questions.

            Answer four (4) questions only.

            All questions shall be answered in the Answer Booklet.

            Start each answer on a new page.

            Do not bring any material into the examination room unless permission is given by the
            invigilator.

6.          Please check to make sure that this examination pack consists of:
                    i)      the Question Paper
                    ii)     an Answer Booklet - provided by the Faculty
                    iii)    two sheets of graph paper - provided by the Faculty
                    iv)     a one-page Appendix




                    DO NOT TURN THIS PAGE UNTIL YOU ARE TOLD TO DO SO
                           This examination paper consists of 6 printed pages
                                                                                     CONFIDENTIAL
CONFIDENTIAL                                                          AP/OCT 2003/QSD103



QUESTION 1

a)   Figure 1a shows a free-body diagram for a system of concurrent forces, which are in
     equilibrium. Determine the magnitude and direction of the unknown forces marked X
     and Y.
                                                                             (10 marks)



                                                      2kN



                                                      1 kN



                          Y                 X
                                Figure 1a


b)   The top of a pole sustains a pull and a thrust as shown in Figure 1b.
     Determine the resultant force.
                                                                                  (7 marks)


                  2.5"W
                              90°     60'
                                                5kN



                          Figure 1b


c)   Determine the position of the centroid for figure 1c from point A.
                                                                                  (8 marks)
                     2.2m           3.0m    1.(Dm




         3.0 Tl

             A
                           6.2m

                              Figure 1c
                                                1.5
                                                      r
                                                                             CONFIDENTIAL
CONFIDENTIAL                                                             AP/OCT 2003/QSD103



QUESTION 2

Determine the reactions at each support, due to the load carried by the structures as
indicated in Figure 2a, 2b, 2c and 2d and 2e.



                                             20 kN/tn
5kN                                                          20 kN


    1                                                                                10kN/m



      2m             6m
                                 4            3m                         2m      I    2m


               Figure 2a                                         Figure 2b



   10k
                                             10 kN      3m

                                        15 kN

                                                        3m

                             B

               3m        I       2m


                 Figure 2c


                                 24

                                                                              850 kN
                     20 kN/m                                                               44m



                  2.0m       ,        1.5m                               A


                 Figure 2d                                           Figure 2e
                                                                                       (25 marks)
                                                                                 CONFIDENTIAL
CONFIDENTIAL                                                         AP/OCT2003/QSD103



QUESTION 3

a)    Figure 3a shows a simply supported reinforced beam spanning 11m. The beam is
      required to support the point load and uniformly distributed loads.

               Calculate the reactions at each support.
                                                                                  (5 marks)

               Determine the position and amount of the maximum positive and maximum
               negative bending moments.
                                                                            (10 marks)



               5kN                                      10 kN
                                                    i
           r
                           10.kN/m
               in I,KI;»                 4 on I,M




                 2m         3m               6m



                            Figure 3a


b)    Determine the position of the centre of gravity of a concrete wall shown in Figure 3b.
      The concrete wall has a uniform thickness 100mm and weighs 10 N/m3. Calculate
      the reactions at each support.
                                                                                 (10 marks)

                           10m


                                       10m

     30m




                                                           2m




                           Figure 3b
                                                                           CONFIDENTIAL
CONFIDENTIAL                                                         AP/OCT 2003/QSD103




QUESTION 4

A parallel boom truss is pinned at A and supported by roller at E. The truss is subjected to
the point loads as shown in Figure 4.

a)     Calculate the reactions at support A and E,
                                                                                  (5 marks)

b)     Determine the internal force induced in each member and state whether they are in
       tension or compression.
                                                                             (20 marks)
                       3m         3m         3m       3m



                                                                     45°




                             40 kN         60 kN     80 kN


                               Figure 4

QUESTION 5

A singly reinforced beam shown in Figure 5 is required to resist an ultimate bending
moment of 450 kNm. If the beam is composed of grade 30 concrete and high yield (HY)
reinforcement:

a)     check the section size of the beam.
                                                                                  (8 marks)

b)     determine the area of steel and choose the appropriate diameter of main
       reinforcement.
                                                                                 (12 marks)

c)     sketch the cross-section of the beam and show the dimension details of the bars.
                                                                                  (5 marks)
                             . b=350r1im




                  d = 600
                             -EU

                                             Figure 5
                                                                           CONFIDENTIAL
CONFIDENTIAL                           6                     AP/OCT 2003/QSD103




     Given:    Equation BS 8110 Part 1

                      K=         M
                              bd feu

                      z=      d[0.5 + V (0.25 - K/0.9)]

                      x=




               High Tensile characteristic strength -     460 N/mm2
               Concrete characteristic strength     -     30 N/mm2
               Concrete cover                       -     25 mm




                       END OF QUESTION PAPER




                                                                 CONFIDENTIAL
CONFIDENTIAL                                          APPENDIX 1                               AP/OCT 2003/QSD103




                                        0.5                 i.o             1.5              2.0


                                                                                               40
                                                                                               35

                       —-i-                                                                    30

                                                                                               25

                   4
              1
              E
               2
              IN   n

                   J
               1




                                  7

                       ~7
          S        0                    Q.5                 1.0             1.5              2.0
          3                                                                                              46
                                                       \WAjbd                                       A      °
          z
          ^            Singly reinforced beams

          Figure 3.4        BS 8110 Pan 3 Chart 2 for singly reinforced beam design




                                    Areas of round bar reinforcement (mm2)

              Diameter                               Number of bars
               (mm)                                  3    4      5



                        6          28         57     85       113    142     170      198     226     255
                        8          50         101    151      201    252     302      352     402     453
                        10         7Q         157    236      314    393     471      550     628     707
                        12         113        226    339      452    565     678      791     904     1017
                        16         201        402    603      804    1005    1206     1407    1608    1809
                        20         314        628    942      1256   1570    1884     2198    2512    2826
                        25         491        983    1474     1966   2457    2946     3439    3932    4423
                        32         804        1608   2412     3216   4020    4824     5628    6432    7236
                        40         1257       2513   3770     5027   6283    5740     8796    10053   11310




                                                                                                        CONFIDENTIAL

				
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