MU Civil Engineering (Semester 7)

Limit State Method for Reinforced Concrete Structures

December 2014

Limit State Method for Reinforced Concrete Structures

December 2014

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.

d^{1}/d |
0.05 | 0.10 | 0.15 | 0.2 |

f_{sc} |
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.

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/m

^{2}and floor finish load 1.0kN/m^{2}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 |

α_{x} |
0.062 | 0.074 | 0.084 | 0.093 | 0.099 | 0.104 | 0.133 |

α_{y} |
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/m

^{2}. 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 σ

_{cu}=20N/mm^{2}and σ_{sy}=420 N/mm^{2}. 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 |

t_{c}(N/mm^{2}) |
0.36 | 0.48 | 0.56 | 0.62 | 0.67 | 0.72 | 0.75 | 0.79 | 0.81 |

10 M

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