MORE IN Limit State Method for Reinforced Concrete Structures
MU Civil Engineering (Semester 7)
Limit State Method for Reinforced Concrete Structures
May 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

1 (a) From the first principles, derive stress block parameter for limit state method for single reinforced section. For grade of concrete M20 and grade of steel Fe415.
5 M
1 (b) What are the function of longitudinal reinforcement and transverse steel in column.
5 M
1 (c) Explain and illustrate balance, under reinforced and over-reinforced R.C section.
5 M
1 (d) Under what situation a beam will be subjected to torsional moment. How longitudinal and transverse reinforcement is designed to resist it.
5 M

2 (a) Why doubly reinforced beam is required.
4 M
2 (b) A reinforced concrete beam 230mm wide is to carry load 40 kN/m. The beam is simply supported on a span of 8m. Design a section when.
i) Depth is not restricted
ii) Effective depth is restricted to 500mm. Use M20 grade of concrete, Fe415 grade of steel and ISM.
16 M

3 (a) A rectangle beam 230mm × 450mm (effective depth) is reinforced with 6 bars of 16mm diameter out of which two bars are bent at 45°. Determine the shear resistance of bent up bars and additional shear reinforcement required if the ultimate shear force is 300 kN. Design shear reinforcement adopt M20 and Fe415.
 Pt% 0.75 0.5 0.75 1 1.25 1.5 1.75 2 2.25 2.5 t 0.36 0.48 0.56 0.62 0.67 0.72 0.75 0.79 0.81 0.83
10 M
3 (b) A T-beam section has bf=1200mm, Df=120mm and d=400 mm, bw=230mm Asi=6 bars of 16 mm diameter. Determine the moment of resistance of the section. Use M20 grade of concrete, Fe415 grade of steel.
10 M

4 (a) Design a R.C slab for interior panel having size 4m × 6m the slab carries superimposed load of 3kN/m2
\begin{align*}+\alpha_{x}=0.053,\alpha_{y} =0.032\\-\alpha_{x}=0.041,\ -\alpha_{y}=0.024\end{align*}
Use M20 grade of concrete, Fe415 grade of sateel.
12 M
4 (b) Design a short helically reinforced column to resist ultimate axial load of 1200kN. Use M20 grade of concrete, Fe415 grade of steel.
8 M

5 Design a combined footing connecting two column A and B. 4M centre to centre, carrying an ultimate axial load of 1200 kN and 1400 kN respectively. The boundary line of the property is 500mm from the outer face of the column A, column A and B is 400mm× 400mm size SBC of soil is 150 kN/m2
Use M20 grade of concrete, Fe415 grade of steel.
20 M

6 (a) Derive the expression for M.R for single reinforced section bu using whitney's stress block parameter.
5 M
6 (b) R.C beam 230mm &time; 600mm is reinforced with 3 bars of 16 mm on tension side with an effective covers of 50mm determine the safe load the beam can carry if the beam is simply supported on span of 5m. Use whitney's method, Use M20 grade of concrete , Fe415 grade of steel.
10 M
6 (c) What is development length. Develop relevant equation.
5 M

7 (a) A rectangular beam 230mm × 550mm depth is subjected to a sagging bending moment of 40 kN/m shear force of 30kN and twisting moment of 12 kN/s at a given section. Design the reinforcement at the given section take load factor 1.5, Assume effective cover 50mm. Use M20 grade of concrete , Fe415 grade of steel.
12 M
7 (b) Design isolated rectangle pan footing for the column of size 230mm×450mm carrying an axial load of 1200 kN, SBC of soil is 200 kN/m2. Use M20 grade of concrete Fe415 grade of steel.
8 M

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