MU Civil Engineering (Semester 7)
Limit State Method for Reinforced Concrete Structures
December 2015
Total marks: --
Total time: --
(1) Assume appropriate data and state your reasons
(2) Marks are given to the right of every question
(3) Draw neat diagrams wherever necessary

Attempt any Four:
1 (a) What is Bond? How can we increase the bond between steel and concrete?
5 M
1 (b) State the assumptions made in the Limit State of Collapse (flexure) in RCC. Also draw strain and stress diagram across the section.
5 M
1 (c) What are the functions of distribution steel in one way slab?
5 M
1 (d) What are the steps for the design of a column subjected to axial load and biaxial bending?
5 M
1 (e) Write are the steps for the design of a column subjected to axial load and biaxial bending?
5 M
1 (f) What is combined footing? Sketch plan and elevation of any two types of combined footing.
5 M

Attempt the following:
2 (a) Determine the limiting moment of resistance of the beam having dimensions 300mmX550mm (effective), is reinforced with 4-20mm diameter bars in tension zone. Use
(i) M20 concrete and Fe415 steel.
(ii) M20 concrete and Fe250 steel.
10 M
2 (b) A beam of size 300 × 550 mm overall, is subjected to a factored bending moment of 260 kNm. Compute the reinforcement required at an effective cover of 50 mm to compression and tension reinforcement. Use M 20 concrete and Fe 415 steel.
d3/d 0.05 0.100 0.15 0.20
fx (MPa) 355 353 342 329
10 M

Attempt the following:
3 (a) A reinforced concrete beam of 300×550 mm overall is reinforced with 6 bars of 20 mm ϕ HYSD steel of grade Fe 415, placed at effective cover of 50 mm. The beam carries a factored UDL of 120 kN/m over a simply supported clear span of 5 m. Design the shear reinforcement if two bars are bent up at support making an angle of 45□. Use M 20 and Fe 415. Also sketch the shear reinforcement details.
pt% 0.50 0.75 1.0 1.25 1.5 1.75
τc MPa 0.48 0.56 0.62 0.67 0.72 0.75
10 M
3 (b) A tee beam having 1250 mm effective width of flange has a thickness of flange equal to 115 mm. The effective depth of the beam is 550 mm and width of the web is 300mm. It is reinforced with 8 bars of 20 mm ϕ on the tension side. Determine limiting moment of resistance if M20 concrete and Fe 415 steel is used.
10 M

Attempt the following:
4 (a) A short RCC column is subjected to a factored load of 1900 kN within the limit of minimum eccentricity. Design the column and show reinforcement details. Use M 30 and Fe 415.
6 M
4 (b) A hall of a residential building measures 4.2 m × 6m. It is supported by 230 mm thick wall on all four sides. Design the simply supported slab using M 20 and HYSD Fe 415 steel. Assume the live load on the slab as 3kN/m2 and the floor finish load as 1kN/m2. Apply checks for shear, deflection and development length. Sketch the reinforcement details along both spans.
Ly/Lx 1.3 1.4 1.5 1.75
αx 0.093 0.099 0.104 0.113
αy 0.055 0.051 0.046 0.037
14 M

Attempt the following:
5 (a) Write step by step procedure to desing isolated footing of uniform thickness.
4 M
5 (b) A rectangular beam of size 250 × 400 mm overall is reinforced with 3 bars of 16 mm φ as tension reinforcement. It is subjected to a shear force of 18 kN and a bending moment of 18 kN m. In addition to this it also carries a torsional moment of 1.8 kN m. Design the beam for combined BM, SF and TM.
8 M
5 (c) A simply supported one way slab over a passage of a public building has a clear span of 2.5 m. It is supported on 230 mm thick wall. Design the slab using M20 and Fe 415 steel. Assume live load as 5 kN/m2 and floor finish load as 0.75 kN/m2. Apply all required checks. Sketch the reinforcement details.
8 M

6 Design the combined footing for two columns C1 and C2 of size 500 × 500 mm each, spaced at 4 m apart, carrying an axial compressive load of 1500 kN on each column. The available width restriction is 2.2m. The SBC of the soil is 150 kN/m2. Use M 25 and Fe 415. Sketch reinforcement details.
20 M

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