Mock Class Test 4HX504 V2.pdf

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Mock Class Test
4HX504 - Structures 1
Instructions
1.
2.
3.
4.
5.
Answer ALL questions.
Test lasts for 2 hours.
Show all stages of calculations.
Marks awarded for each question are shown in brackets.
Total 100 marks
1.
a. A timber beam is required to span 4m carrying a total uniform
load/action (inclusive of the beam’s self-weight) of 10 kN/m. The safe
allowable bending stress is 8 N/mm
2
. Choose a suitable depth for the
beam if the width is to be 120mm. Sketch your final answer showing
depth and breadth.
(10 Marks)
b. A timber beam is subject to a 15kN point load applied at mid-span. If
the beam is 100mm wide by 250mm deep and the safe allowable
bending stress is 7.5 N/mm
2
, calculate the allowable span
(15 Marks)
(Total 25 Marks)
2. A simply supported beam along with the loading is shown in Figure 1.
a) Draw Shear Force and Bending Moment Diagram for the beam
indicating maximum bending moment and point(s) of contraflexure, if
any.
(15 marks)
b) Design an appropriate UB given that f
y
= 165 N /mm
2
. Give reasons for
your choice of the beam.
(15 marks)
c) Design the same beam as in Figure 1 as a reinforced concrete beam
with the help of following data. Make a sketch of your final design
showing overall depth and number and diameter of bars.
p
cb
= 10 N/mm
2
, p
st
= 140 N/mm
2
, m = 15
(25 Marks)
(Total 55 Marks)
FIGURE 1
2. For the symmetrical structural I beam in Figure 2 below, calculate:
a) The position of the centroid (x and y dimensions, as diagram below)
(8 Marks)
b) The second moment of area about the Y-Y axis (I
yy
)
(6 Marks)
c) The second moment of area about the X-X axis (I
xx
)
(6 Marks)
(Total 20 Marks)
y
400mmm
150mmm
100mmm
Y
100mmm
300mmm
x
X
200mm
FIGURE 2

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