(Solved): please write the detail of process A reinforced concrete canopy of \( 12 \mathrm{~m} \) span cons ...

please write the detail of process

A reinforced concrete canopy of \( 12 \mathrm{~m} \) span consists of a \( 200 \mathrm{~mm} \) slab, cast integrally with a \( 400 \times 800 \mathrm{~mm} \) beam. The cross-sectional dimensions is shown in FIGURE 2 The rib is fully built-in to the support at both end so that no rotation at the support occurs. The flange on the other hand is only partially built-in to the support and should be considered as having no resistance to rotation. The loading analysis produces the bending moment, shear force and torsion moment at supports of \( 440 . \mathrm{kNm}, 220 \mathrm{kN} \) and \( 135 \mathrm{kNm} \) respectively. A Grade C35/45 concrete, Grade 500 steel and a nominal concrete cover of \( 30 \mathrm{~mm} \) are to be used. Assume the shear centre to coincide with the centroidal axis of the beam. (i) Design the reinforcement to carry the bending moment, shear and torsion at the support of the beam, and show your proposed arrangement of the reinforcement in a neat sketch of the crosssection. (The maximum sagging moment at mid-span of the beam requires a steel area of \( 715 \mathrm{~mm}^{2} \) which is extended fully to the supports as bottom bars). (22 marks) (ii) If both the rib and the flange are fully built-in to the support, calculate the torsion moments to be resisted by the rib and the flange. Without further calculation, indicate briefly but clearly how you would proceed to obtain the required areas of torsion reinforcement and how this would be arranged in the section. (6 marks) (34 marks) FIGURE 2