Q.1 (a) A simply supported singly reinforced concrete beam has width b and effective depth d. Sketch the stress block diagram and define all terms used to derive the following design parameters: i) Ultimate Moment of Resistance: ii) Area of steel: Mu= 0.156fcubd² A₁ = M/(0.87f,z) (b) A rectangular reinforced concrete beam of width b = 300 mm and effective depth d= 430 mm and the design span is 6.5 m. The characteristic strength for the concrete fcu = 25 N/mm² and the steel reinforcement strength f= 500 N/mm². The cover to reinforcement is 30 mm. Determine the bending reinforcement required for the beam given the design moment M = 250 kNm. Produce sketches of the beam showing loading and the final designed cross-section. Q.2 A simply supported reinforced concrete beam has a design span of 8 m with effective depth of 425 mm and width of 300 mm as shown in Fig. 1. The imposed (live) loading is 14 kN/m and the dead load (inclusive of self-weight) is 12 kN/m. Design the beam reinforcement for Ultimate Limit State for bending and shear given: feu = 30 N/mm², fy = 500 N/mm² and fyv = 250 N/mm² Produce sketches of the beam showing loading and the final designed cross-section. A 8 m Fig. 1 qk = 14 kN/m gk = 12 kN/m B d=425 mm b=300 mm