1. A three-span continuous slab, as shown in Fig. Q-1, is to carry a characteristic dead load inclusive of self-weight, gk, of 6 kN/m², and a characteristic imposed load, qk, of 5 kN/m². The slab thickness is 200 mm throughout. Material properties are: fck = 32 MPa; and fyk = 500 MPa. (a) Determine using design formulae, the flexural reinforcement for the section at middle of the central span BC, and sketch all required reinforcement on a cross-section. Assume d = 150 mm for the main steel. [Use the Three-Moment Equation to obtain the design moment.] (b) Check for shear at the support B, given that the main tensile steel reinforcement consisted of H12 bars at 200 mm spacing. Assume zero support width and neglect enhancement in shear capacity near supports. Also, consider = 45°. (c) Verify the serviceability limit states for cracking and deflection at middle of span BC, given that the main tensile steel reinforcement consisted of H10 bars at 150 mm spacing. Assume steel stress under quasi-permanent loads to be 260 MPa, and allowable crack width and maximum deflection are 0.3 mm and span/250 respectively. k 4.5 m BK в * 5 m Fig. Q-1 C A * 4.5 m

Fig: 1