MU Civil Engineering (Semester 7)
Limit State Method for Reinforced Concrete Structures
December 2014
Total marks: --
Total time: --
INSTRUCTIONS
(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 4.om × 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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