# qsd103mar04

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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.

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

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
Type of reinforcement:                              high yield
Cover:                                              25mm (mild exposure)

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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