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Figure 1 shows a structural system ABCD.
This comprises a reinforced concrete beam ABC and a steel beam CD.
The beams are supported on pin supports at foundations at A, B and D and are connected at C by a
connection which can transfer shear forces but no moment.
The spans are:
AB - L1 metres
BC – L2 metres
CD – L3 metres
The reinforced concrete beam has a rectangular cross-section, h mm overall depth and b mm overall
width.
The entire structure is subjected to a uniformly distributed characteristic permanent line load g
kN/m, and a uniformly distributed characteristic imposed line load, q kN/m. There is also a
characteristic imposed point load Q kN at midspan on beam CD
Figure 1 – Structural System
Part 2 – Structural Design (70% of the overall module marks)
a) Using EC2 and EC3 you are to present calculations to determine the following (comprising 60% of
the final marks)
1) The longitudinal steel reinforcement required to provide sufficient flexural strength in the
reinforced concrete beam at support B
2) The diameter and spacing of shear links required to provide sufficient shear resistance in the
reinforced concrete beam at support B
3) The lowest mass of standard UK Universal Beam (UB) which has sufficient cross-sectional
moment resistance to resist the design bending at the centre of span CD and the design
shear force at C
4) An assessment of whether the steel beam chosen in task 3 above can resist the design
moment when lateral-torsional buckling effects are taken into account. You should assume
that the beam is restrained laterally and torsionally at supports C and D and also at midpoint
of span CD. Note that if you decide that the beam fails this check, you do NOT have to repeat
the calculations with a stronger beam section.
b) You should present with your calculations a sketch showing the cross-section of the concrete
beam at B, with the longitudinal and shear reinforcement indicated. (10% of the final marks.)