MU Civil Engineering (Semester 7)
Limit State Method for Reinforced Concrete Structures
December 2014
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 of the following
1 (a) What do you mean by 'Limit State"? Explain its various types indicating its salient features along with merits.
5 M
1 (b) Explain under, over and balanced section w.r.t Limit state method of design.
5 M
1 (c) Derive design stress block parameters for singly R.C section for LSM of design.
5 M
1 (d) When it is required to design a doubly reinforced beam section. Also Draw various forms of shear reinforcement provided in beam.
5 M
1 (e) What are the functions served by longitudinal and transverse steel reinforcement in column, distribution steel in slab and stirrups in case of beam?
5 M

2 (a) Determine the maximum udl the beam can carry safely (including self weight), for R.C section 230mm×550mm depth overall and reinforced with 4-20 mm Φ. It is used as simply supported beam over an effective span of 5.5m. Use M20/Fe415.
8 M
2 (b) Design a R.C beam of size 230 mm × 550 mm overall depth supported between an effective span of 6.0 m. It is subjected to a service load of 30 kN/m. Use M20 concrete and Fe 415 steel.
d1/d 0.05 0.10 0.15 0.2
fsc 355.1 351.9 342.4 329.2
12 M

3 (a) Describe in brief concept of equivalent flange thickness for analysis and design of R.C. T section.
4 M
3 (b) Find the ultimate moment of resistance of T beam section using Fe 415 steel grade and M20 concrete grade.
Width of flange=800mm
Depth of the slab=80mm
Width of rib=300 mm
Area of steel =4-20 mm Φ on tension side.
16 M

4 (a) (i) Derive the expression for development length.
3 M
4 (a) (ii) Explain the difference in the behavior of one way slab and two way slab.
3 M
4 (b) Design a 8.8 slab for a room of size × 5.75m (internal). The slab panel is subjected to live load of 3.5kN/m2 and floor finish load 1.0kN/m2 apart from its self weight. Use Fe 415 steel and M20 grade concrete. Refer Table given below.
ly/lx 1.0 1.1 1.2 1.3 1.4 1.5 1.75
αx 0.062 0.074 0.084 0.093 0.099 0.104 0.133
αy 0.062 0.061 0.059 0.055 0.051 0.046 0.037
14 M

5 (a) Explain different types of footings provided under different condition
4 M
5 (b) Design the combined rectangular pad footing for two columns A and B carrying load of 800 kN and 1000 kN respectively. Column A is 400 mm square and B is 500 mm square in size and they placed at 4m c/c. Assume width of footing as 1.5 m and S.B.C of soil as 200 kN/m2. Use M20/Fe415. Also draw a neat sketch showing reinforcement details.
16 M

6 (a) Explain different types of columns.
3 M
6 (b) Write the steps to determine the design strength corresponding to limiting conditions of no tension in the column section, considering eccentricity of loading along any one axis.
4 M
6 (c) Calculate ultimate L.C.C of short axially loaded R.C column of size 400 × 400 mm if it is reinforced with 8 bars of 16 mm dia. As longitudinal reinforcement. Use M20/Fe415.
5 M
6 (d) Design a short axially loaded square column to carry an axial load of 2250 kN. Use M20 concrete and Fe 415 steel. Adopt LSM. Also design links and draw reinforcement details.
8 M

7 (a) Determine ultimate moment of resistance for a singly reinforced rectangular beam of width 300mm and 450 mm effective depth. The tension reinforcement consists of 4-16 mm dia. Take σcu=20N/mm2 and σsy=420 N/mm2. Use ULM.
10 M
7 (b) Design the shear reinforcement for the rectangular beam of dimension 300×500mm (effective) provided with 4-20mm dia. In tension zone. The beam is subjected to UDL of 50 kN/m over the span of 7 m. Use M20 concrete and Fe 415 steel. Adopt LSM.
pt% 0.25 0.5 0.75 1.00 1.25 1.50 1.75 2.00 2.25
tc(N/mm2) 0.36 0.48 0.56 0.62 0.67 0.72 0.75 0.79 0.81
10 M

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