# qsd133apr07 by syahir90

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```									CONFIDENTIAL                                                                     AP/APR2007/QSD133

UNIVERSITI TEKNOLOGI MARA
FINAL EXAMINATION

COURSE                       :     PRINCIPLES OF STRUCTURES
COURSE CODE                  :     QSD133
EXAMINATION                  :     APRIL 2007
TIME                         :     2 HOURS

INSTRUCTIONS TO CANDIDATES

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

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

4.          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

DO NOT TURN THIS PAGE UNTIL YOU ARE TOLD TO DO SO
This examination paper consists of 7 printed pages
© Hak Cipta Universiti Teknologi MARA                                                CONFIDENTIAL
CONFIDENTIAL                                                              AP/APR2007/QSD133

QUESTION 1

a) Briefly explain any two (2) of the following:

(8 marks)

b) Figure Q1b shows a simply supported beam with a cross-section 300mm x 600mm
carrying 300mm thick brickwall and a 300mm x 300mm reinforced concrete column.

Calculate:

ii) Reactions at the support due to ultimate design load.

Given:
The unit weight of reinforced concrete        = 24kN/m3
The unit weight of brickwall                  = 22kN/m3

—      300mm x 300mm reinforced concrete column

300mm thick                300mm thick                               3.0m
brickwall                  brickwall

A
300mm x 600mm reinforced concrete beam

4.0m                                    6.0m

Figure Q1b
(17 marks)

© Hak Cipta Universiti Teknologi MARA                                         CONFIDENTIAL
CONFIDENTIAL                                                        AP/APR2007/QSD133

QUESTION 2

a) Determine the unknown reactions at the following supports:

i) Fixed support
ii) Smooth pin or hinged
iii) Rollers
(6 marks)

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

5kN

10kN/m

0.5m              1.0m

Figure Q2b(i)
(6 marks)

50kN

30kN                     20kN

10 kN

Figure Q2b(ii)
(7 marks)

© Hak Cipta Universiti Teknologi MARA                                      CONFIDENTIAL
CONFIDENTIAL                                                                           AP/APR 2007/QSD133

10kN/m                                             5kN

3m                              3m                            1m

B

Figure Q2b(iii)
(6 marks)

QUESTION 3

a) For the beam shown in Figure Q3a, calculate the reaction at support A and B and draw
the shear force and bending moment diagrams.

15kN                                                                                 5kN

I                    10kN/m                       20kN/m

1.0m T          3.0m           0.5m           3.5m                       1.0m
<—N«-
B
Figure Q3a
(15 marks)
b) The cantilever beam shown in figure Q3b is loaded with uniformly distributed load and
point loads. Determine the reactions at the support and draw the shear force and
bending moment diagram.

50kN           10kN

30kN/m

2.0m               ^
1.0m   k
1.0m
<                          '                  4              •)

Figure Q3b
(10 marks)

© Hak Cipta Universiti Teknologi MARA                                                             CONFIDENTIAL
CONFIDENTIAL                                                          AP/APR2007/QSD133

QUESTION 4

a) What is an axially loaded column?
(5 marks)

b) Figure Q4b shows a cross section of an axially loaded short braced column in a situation
of mild exposure. If the column is made of grade 35 concrete and mild steel
reinforcement determine:

i) the maximum load that the column could safely carry and
ii) the maximum effective height of the column, if it is to be considered as a short
column

Given:       N =      0.4 feu (Ag - Asc) + 0.75 Asc fy

300mm

I*             *            32mm 0 MS steel
(total 4 numbers)

300mm

%
•              •

T   — 25mm cover

Figure Q4b
(10 marks)

© Hak Cipta Universiti Teknologi MARA                                     CONFIDENTIAL
CONFIDENTIAL                                                          AP/APR 2007/QSD133

c) Figure Q4c shows the cross section of a timber beam. Given, the permissible bending
stress of the timber is 6N/mm2.

i) Determine the maximum bending moment that the beam could safely carry,
ii) If the beam is simply supported and loaded with a uniformly distributed load w kN/m
throughout its 3m span, determine is the maximum value of w.

100mm x 200mm
timber beam

Figure Q4c
(10 marks)

© Hak Cipta Universiti Teknologi MARA                                      CONFIDENTIAL
CONFIDENTIAL                                                               AP/APR2007/QSD133

QUESTION 5

a) Explain the behaviour of a simply supported beam subjected to loading.
(8 marks)

b) A 350 mm wide singly reinforced concrete beam is required to transmit an ultimate
bending moment of 580kNm, inclusive its own weight. The beam is made of grade 30
concrete and high yield reinforcement. Using the simplified stress block formulae given in
BS8110 (parti),

i) Check the section of the beam
ii) Determine the amount of steel reinforcement need
iii) Sketch the cross-section of the beam.

Given:
K'   =   0.156
K    =   M/fcu bd 2 where5, K < K' (singly reinforced)
z    =   d [0.5 + V(0.25 -K/0.9)]
z    <   0.95 d
As   =   M/0.87fy z
Areas of round bar reinforcement (mm 2)

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
(17 marks)

END OF QUESTION PAPER

© Hak Cipta Universiti Teknologi MARA                                             CONFIDENTIAL

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