1. Determine ultimate moment of resistance of a doubly reinforced beam section for the given data b=300 mm, d =550 mm and =50 mm. Take Ast 3054 mm^2 and Asc= 982 mm^2 of Fe 415 grade and fck as 20 MPa. All notation names have their usual meaning.

2. Design flexural reinforcement for a beam whose size is limited to 250 x 400 mm. It has to carry a concentrated load of 30 kN placed at the mid-span point. Assume that the beam is subjected to moderate exposure conditions. Assume fck =25 MPa and fy =415 MPa.

3. Design a simply supported slab to cover a room with internal dimensions 4.0 m x 5.0 m which has 230 mm thick brick walls all around. Assume a live load of 3 kN/m^2 and a finishing load of 1 kN/m^2. Use M20 concrete and Fe 415 steel. The slab corners are free to lift up. Assume mild exposure conditions.

4. A corner column (400 mm x 400 located in the lowermost storey of a system of braced frames, is subjected to the following factored loads:

Pu 1300 kN, Mux 190 kNm and Muy 110 kNm.

The unsupported length of the column is 3.5 m. Design the reinforcement in the column, assuming M25 concrete and Fe 415 steel.

5. Determine suitable dimensions of a cantilever retaining wall, which is required to support a bank of earth 4.0 m high above the ground level. The backfill surface is to be inclined at an angle of 15° with the horizontal. Assume good soil for foundation at a depth of 1.25 m below the ground level with a safe bearing capacity of 160 kN/m^2. The backfill is to comprise granular soil with a unit weight of 16 kN/m^3 and an angle of shearing resistance of 30°. Assume the coefficient of friction between the soil and concrete to be 0.5.

6. Design tensile and shear reinforcement at the support of a cantilever beam of span 3.5 m and constant width 300 mm. The depth of the beam is linearly varying from 800 mm at support to 350 mm at free end. The beam is loaded with a UDL of 30 kN/m including its self-weight. Assume M25 concrete and Fe 415 steel.