02 May For the loaded beam, as shown in the figure below, determine the
For the loaded beam, as shown in the figure below, determine the
magnitude of the counter weight Q for which the maximum
absolute value of the bending moment is as small as possible. If
this beam section is 150 mm x 200mm, determine the maximum
bending stress. Neglect the weight of the beam.
[5 Marks]
Q6
A wooden beam with sectional dimensions of 150 mm x 300 mm,
carries the loading as shown in the figure below. Determine the
maximum shearing and bending stress for the beam.
[6 Marks]
Q7
For the box beam shown in the figure below, determine the
maximum intensity w of the distributed loading that can be safely
supported if the permissible stresses in bending and shear are 10
N/mm2 and 0.75 N/mm2 respectively.
[5 Marks]
Q8
A beam of rectangular section 450 mm wide and 750 mm deep has
a span of 6 metres. The beam is subjected to a uniformly distributed
load of 20 kN per metre run (including the self-weight of the beam)
over the whole span. The beam is also subjected to a longitudinal
axial compressive load of 1500 kN. Find the extreme fibre stresses
at the middle section span.
[5 Marks]
Q9
A hollow alloy tube 5 metres long with external and internal
diameters equal to 40 mm and 25 mm respectively, was found to
extend by 6.4 mm under a tensile load of 60 kN. Find the buckling
load for the tube when it is used as a column with both ends
pinned. Also find the safe compressive load for the tube with a
Factor of Safety of 4.
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