Q5 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...

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.