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					CONFIDENTIAL                                                                    AP/MAR 2004/QSD103




                                UNIVERSITI TEKNOLOGI MARA
                                    FINAL EXAMINATION



     COURSE                             PRINCIPLES OF STRUCTURES

     COURSE CODE                        QSD 103
     DATE                               9 MARCH 2004
     TIME                               3 HOURS (2.15 p.m - 5.15 p.m)

     FACULTY                            Architecture, Planning and Surveying
     SEMESTER                           November 2003 - March 2004
     PROGRAMME/CODE                     Diploma in Quantity Surveying / AP114




INSTRUCTIONS TO CANDIDATES

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

            Answer FOUR (4) questions only.

            Answer to each question must be written in the answer booklet.

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

5.          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 three-page Appendix - (Figures)




                    DO NOT TURN THIS PAGE UNTIL YOU ARE TOLD TO DO SO
                           This examination paper consists of 5 printed pages
© Hak Cipta Universiti Teknologi MARA                                              CONFIDENTIAL
CONFIDENTIAL                                 2                       AP/MAR 2004/QSD103


Answer FOUR (4) questions only


QUESTION 1

a)      Figure Q1a shows a free body diagram of concurrent force system. Determine the
        magnitude and direction of the resultant force.
                                                                             (5 marks)

b)      Figure Q1b shows a beam which is pinned at one end and supported by a roller at
        the other end. The beam is loaded with point loads as indicated. Determine the
        reactions at both supports.
                                                                              (5 marks)

c)      Determine the position of the centroid for the shape shown in Figure Q1c from point
        of reference P.
                                                                                 (10 marks)

d)       Determine the forces in the two struts OP and OQ as shown in figure Q1d
                                                                                   (5 marks)


Question 2

a)      Figure Q2a shows a simply supported beam with a cross-section 200mm x 300mm
        carrying 200mm thick brickwall. Calculate the reactions at each support.
        Given:
        The unit weight of reinforced concrete = 24kN/m3
        The unit weight of brickwall            = 23kN/m3
                                                                                 (10 marks)

b)       Determine the reactions at each support, due to the loads carried by the structures
         as indicated in Figure Q2b(i), Q2b(ii), Q2b(iii)
                                                                                 (15 marks)


QUESTION 3

For the beam shown in Figure Q3a and Figure Q3b, calculate the reactions at each support
and draw the shear force and bending moment diagrams.
                                                                              (25 marks)


QUESTION 4

a)      A short braced reinforced concrete column is required to support an ultimate axial
        load of 1800kN using grade 30 concrete and mild steel reinforcement. Assume the
        percentage of main steel provided is 2%.



© Hak Cipta Universiti Teknologi MARA                                      CONFIDENTIAL
CONFIDENTIAL                                                               AP/MAR2004/QSD103




                  Calculate the size of the column if the cross-section is square and choose the
                  appropriate diameter of main reinforcement required.
                                                                                      (10 marks)

                  If the cross-section of the column is circular, find the diameter of the column
                  and choose the steel reinforcement required.
                                                                                        (10 marks)

                  Sketch the cross-section of the columns in (i) and (ii) above and show the
                  details of the reinforcement bars chosen.
                                                                                    (5 marks)

         Given:       Equation 38 (a)
                      N - 0.4 feu (Ag - Asc ) + 0.75 Asc fy


                           Areas of round bar reinforcement (mm2)

         Diameter                       Number of bars
          (mm)    1            2        3      4      5      6      7      8       9




             6        28       57       85     113    142    170    198    226     255
             8        50       101      151    201    252    302    352    402     453
             10       79       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


QUESTION 5

A singly reinforced concrete beam is required to transmit an ultimate bending moment of 180
kNm, inclusive its own weight.

The design parameters are given as follows:
      Width of beam section (b):                          300mm
      Concrete Grade:                                     C30
      Type of reinforcement:                              high yield
      Cover:                                              25mm (mild exposure)
      Diameter of link:                                   10mm


i.   Determine the effective depth (d) of the beam.
                                                                                        (5 marks)

© Hak Cipta Universiti Teknologi MARA                                            CONFIDENTIAL
    CONFIDENTIAL
                                                                               AP/MAR 2004/QSD103



   ii. Choose the appropriate steel reinforcement required.
                                                                                                   (12 marks)
   iii. Determine the overall depth (h) of the beam and sketch the detail of beam section.

                                                                                                    (8 marks)
             Given:
                           K' = 0.156
                           K = M/fcubd2
                           K < K' (singly reinforced)
                          2 = d [0.5 + V(0.25 - K/0.9)]
                          z < 0.95 d
                          As = M/0.87fy z



                                0.5            f.O         1.5           2.0


                                                                              40
                                                                              35 „
                                                                              30 |
                                                                                   Z
                                                                              25 J|

                 4
             1
             g
             2
             3 3
             5




        n
                                 0.5           1.0          1.5          2.0
                                                                                        /y   460

         M           Singly reinforced beams




                   BS 8110 Part 3 Chart 2 for singly reinforced beam design




© Hak Cipta Universiti Teknologi MARA
                                                                                       CONFIDENTIAL
CONFIDENTIAL                                       5                        AP/MAR 2004/QSD103




                               Areas of round bar reinforcement (mm2)

         Diameter                                  Number of bars
          (mm)             1        2       3      4    5       6       7      8       9

             6             28       57      85     113    142    170    198    226     255
             8             50       101     151    201    252    302    352    402     453
             10            79       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




                                        END OF QUESTION PAPER




© Hak Cipta Universiti Teknologi MARA                                              CONFIDENTIAL
 CONFIDENTIAL                                    APPENDIX 1                     AP/MAR2004/QSD103


                                                     SON
                                                                   20N




                           60N

                                                                          30N
                       Figure Q1a


                             20 kN                30 kN                  10kN



                                  60


                             1m         I   1m        |       1m         1m
                                                     >
                       Figure Q1b




                                                                                 30cm



                                                                                 60cm




                              100cm                L 30cm LtScm


                       Figure Q1c (not to scale)




© Hak Cipta Universiti Teknologi MARA                                              CONFIDENTIAL
 CONFIDENTIAL                                                     AP/MAR 2004/QSD103




                      Figure Q1d




                                        200mm x 300mm beam




                Jf-                      3.0m

                      Figure Q2a




                                                             ~V

                                                                  1m




                                                                  1m
                                          3kN
                                         5kN

                                                                  1m




                      Figure Q2b(i)


© Hak Cipta Universiti Teknologi MARA                                  CONFIDENTIAL
 CONFIDENTIAL                                   APPENDIX 3                                 AP/MAR2004/QSD103


                         5kN/m

                                               15kN/m



                            2m                          3m                        0.6m

                 Figure Q2b(ii)

                                                            5kN

                                         5kN                                 5kN

                                                                                                 5kN
                  5kN




                                                        10kN

                                1m              1m                1m              L        1m      L
                                                                                      —————————7T

                 Figure Q2b(iii)
                                                                    20kN              10kN

                        p        5kN/m                  1
                                                                     1
                                                                     ^
                                                                                      1
                                                                                      V
                                        2m                     1m      ,         1m    i
                            y                           >             >                v

                 Figure Q3a

                                                                           5kN
                                     5kN

                                                                    15kN/m
                                 5kN/m



                    >
                          1m1m    2m  x 2m
                                ^-———^^
                                                                             1m
                                                                             ?^—yI,1m y ^
                                                                                        I
                     '    / ^-/                                            /
                 Figure Q3b

© Hak Cipta Universiti Teknologi MARA                                                           CONFIDENTIAL

				
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