Last year question papers Unit – I (2010-11) Q1. Describe various exposure conditions considered in the mix design of concrete. Q2. Enumerate various factors which influence compressive strength of concrete and explain any one. Q3. Define and explain briefly – (i) Target mean strength (ii) Characteristics strength (iii) Transformed section Q4. A rectangular beam is 300 mm wide and have 550 mm effective depth. It is reinforced with 4 bars of 14 mm diameter. Determine moment of resistance using working stress method of analysis. Use M-20 grade concrete and Fe415 grade steel. Q5. Determine area of compression and tension steel for a rectangular beam of 300 mm x 500 mm effective depth by working stress method, if it is subjected to 95 kN-m moment. Use M 20 concrete and Fe 415 steel. Q6. Describe briefly properties of hardened concrete. (2009-10) Q1. Explain the working stress design philosophy for design of RCC members in flexure. Q2. Explain why is the concrete cover to reinforcement required. Q3. What is the difference between singly reinforced and doubly reinforced beam sections ? Explain the role of compression steel in a doubly reinforced bean section. Q4. Find the moment of resistance of a beam section having dimensions 250 x 530 mm. The beam is reinforced with 4 no. – 12 dia. bars on tension side. Use working stress method of analysis. Effective cover – 30 mm. Q5. A simply supported beam of 6 m span carries a udl of 12 kN/m inclusive of its self weight. The beam is 230 mm wide and 600 mm effective depth. Deign the beam in flexure using working stress design method and find the reinforcing steel required. (2008-09) Q1. What are the various design philosophies ? Explain any one of these in sufficient detail. Q2. A rectangular reinforced concrete beam section 250 mm x 350 mm is reinforced with 3 bars of 16 mm diameter. Determine the moment of resistance of the section using Working Stress Method. Use M20 grade concrete and Fe415 grade steel. Q3. Design a rectangular beam to resist a bending moment of 65 kN-m using Working Stress Method. Use M20 grade concrete and Fe415 grade steel. (2007-08) Q1. What is meant by limit states ? Discuss the different limit states to be considered in reinforced concrete design. Explain the basis for the selection of partial load and safety factors by code for ‘Serviceability limit states’. Q2. A reinforced concrete beam of rectangular section 350 mm wide by 750 mm overall depth is reinforced with 3 bars of 20 mm diameter at an effective depth of 700 mm. Adopting M30 grade concrete and Fe500 grade steel reinforcement. Calculate the safe moment of resistance of the section. If the beam spans over 5 m, estimate the safe permissible live load on the beam. Use working stress method. Q3. Determine the tension and compression steel for a doubly reinforced beam 360 mm wide and 750 mm effective depth to resist a bending moment of 300 kN-m. Assume concrete grade M20 and steel grade Fe415 and effective cover to compression steel equal to 50 mm. Assume σabc = 7 N/mm2 and σst = 190 N/mm2. Unit – II (2010-11) Q1. An isolated T-beam has 2-4 m wide and 120 mm thick flange. The effective width and depth of web are 300 mm and 580 mm respectively. The tension reinforcement consists of 8 bars of 20 mm diameter. The effective span of simply supported T beam is 4.6 m. Determine the moment of resistance of the beam. The grade of concrete and steel are M20 and Fe415 respectively. Q2. A rectangular section of effective size 300 mm x 500 mm is used as a simply supported beam of effective span 7 m. Determine maximum udl that can be applied on the beam, if maximum percentage of steel is provided only on tension side. Use M20 concrete and Fe415 steel. Determine the amount of steel to be provided. Q3. Design a cantilever beam of effective span 1.8 m. It is carrying a udl of 4 kN/m (service load). Use M20 concrete and Fe415 steel. (2009-10) Q1. Design a singly reinforced rectangular beam for an applied factored moment of 120 kN-m. Assume width of the section as 230 mm. Q2. Find the factored moment of resistance of a beam section 300 mm x 450 mm effective dimensions, reinforced with 2 No – 20 mm dia. bars in compression at effective cover of 50 mm and 4 No – 25 mm dia. bars in tension. Q3. A tee beam of effective flange width 1200 mm, thickness of slab 100 mm, width of the rib 300 mm and effective depth of 560 mm is reinforced with 4 No – 25 mm dia. bars on tension side. Calculate the factored moment of resistance. (2008-09) Q1. Draw the stress and strain distribution on a reinforced concrete beam of rectangular section under flexure at collapse as per Limit State Method of design. Hence derive the expression for the moment of resistance for a singly reinforced beam. Q2. Determine the ultimate moment of resistance of a doubly reinforced rectangular beam section of size 300 mm x 600 mm. The beam is reinforced with 4 bars of 28 mm diameter on tension side and 2 bars of 25 mm on compression side. M25 concrete and HYSD Fe415 bars are used. Q3. A T-beam floor consists of 125 mm thick R.C. slab monolithic with 300 mm wide beams. The spacing between the beams is 3 m centre to centre and their effective space is 6.5m. If the superimpressed load on the slab is 5 kN/mz, differ an intermediate beam. Use M20 grade concrete and Fe415 grade steel. (2007-08) Q1. Draw the stress and strain distribution across the RC beam of rectangular sections under flexure at collapse. Derive the expression for the depth of neutral axis and ultimate moment of resistance for a single reinforced beam. Q2. Determine the ultimate moment of resistance of a doubly reinforced rectangular beam section of size 300 mm width x 500 mm (effective depth). The beam is reinforced with 3 bars of 36 mm dia. tension side and 2 bars of 25 mm dia. on compression side. Assume M15 grade concrete and steel Fe250 grade. Effective cover to compression steel is 50 mm. Q3. A beam simply supported over a span of 6 m carries a superimposed load of 40 kN/m. The centre to centre spacing of beams is 3 m. Design the mid-span section of an intermediate beam as a T-section for the following additional data : Thickness of slab = 120 mm Width of web = 200 mm Total depth of beam = 600 mm Load factor – 1.5 Concrete grade M20 and mild steel reinforcement are used. Unit – III (2010-11) Q1. A 250 mm wide and 450 mm overall deep beam is reinforced with 3 nos. of 20 mm diameter bars of grade Fe415 on tension side with an effective cover of 50 mm. Two legged 8 mm vertical stirrups are provided at 180 c/c. If one of the tensile bar is bent up at the section at 450, determine the design shear strength of the section. Assume M20 concrete has been used. Q2. Design a rectangular beam section of 300 mm width and 500 mm effective depth subjected to ultimate moment of 60 kNm, ultimate shear force of 50 kN and torsional moment of 25 kNm. Consider concrete of grade M20 and steel of grade Fe415. Q3. A simple supported beam of size 250 mm x 450 mm effective depth is reinforced with 3 bars of 20 mm diameter at bottom. It is subjected to ultimate shear force of 250 kN at the centre of support. Consider M20 grade concrete and Fe415 grade steel, determine the anchorage length of bars at simply supported end of beam. (2009-10) Q1. Calculate the anchorage length in tension and compression for – (i) A single mild steel bar of dia θ in concrete of M20. (ii) An HYSD bar of grade Fe415 of dia 20 mm in concrete of M20. Q2. Design the shear reinforcement for a rectangular doubly reinforced beam as shown in figure. The materials used are M25 grade concrete and Fe415 grade steel. Q3. A rectangular beam section of size 230 mm x 600 mm overall dimensions is subjected to a factored bending moment of 48 kN-m, factored shear force of 48 kN and factored torsional moment of 18 kN-m. Find the equivalent shear and equivalent bending moment at the section. (2008-09) Q1. A reinforced concrete beam has an effective depth of 500 mm and width of 350 mm. If it is reinforced with 4 bars of 25 mm diameter, calculate the shear reinforcement for a factored shear force of 375 kN. Use M20 grade concrete and Fe415 grade steel. Q2. A simply supported beam is 250 mm x 500 mm and has 2 bars of 20 mm diameter going into the support. If the shear force at the support is 110 kN at working loads, determine the anchorage length. Use M20 grade concrete and Fe415 grade steel. Q3. Define a section of a ring beam 500 mm wide and 700 mm deep subjected to a bending moment of 130 kN-m, twisting moment of 10 kN-m and a shear force of 130 kN at ultimate. Use M20 grade concrete and Fe415 grade steel. (2007-08) Q1. Derive an expression based on truss anal for the shear resisted by shear reinforcement. Q2. Draw a neat sketch showing the mechanism of shear failure of a beam which is not provided with shear reinforcement. Give the contributions made by various shear carrying components and how they are accounted for in shear design. Q3. A tapered cantilever beam projecting from a column of constant width 250 mm, has a depth of 450 mm at fixed end and 300 mm at the free end. The length of the beam is 2 m and is reinforced with 2 nos of 20 mm dia and 2 nos 12 mm bars at top, and 2 nos of 12 mm dia. at bottom. The beam carries a udl of 20 kN/m inclusive of self weight over its entire length and a point load of 6 kN at its free end. Design the shear reinforcement using mild steel reinforcement of grade Fe250. Assume effective cover equal to 40 mm and grade of concrete M20. Q4. Explain ‘Bond Mechanism’ between concrete and steel in reinforced concrete members. What is flexural bond and anchorage bond ? Define ‘development length’. Unit – IV (2010-11) Q1. Design an RCC floor slab for a room having inside dimensions 4 m x 10 m and supported on all sides by a 40 cm thick brick wall. The superimposed load may be taken as 3 kN/m2. Use M20 mix and HYSD Fe415 bars. Q2. Design an RC slab for a room of inner dimensions 5 m x 6 m size. It is supported all around with corners held down and carries live load inclusive of floor finish as 3000 N/m2. Use M20 concrete and Fe415 steel. Q3. A rectangular simply supported beam of span 5 m is 300 mm x 650 mm in cross section and is reinforced with 3 bars of 20 mm on tension side with an effective cover of 50 mm. Determine short term deflection due to an imposed service load of 20 kN/m excluding self weight. Use M20 concrete and Fe415 steel. (2009-10) Q1. A simply supported one way corridor slab of an office building of a clear span 2.4 m is supported on beams of 230 mm width. Design the slab for a live load of 5 kN/m2. Draw the reinforcement details. Q2. Design a cantilever slab projecting 2.1 m from support. Take live load of 2 kN/m2 on the slab. Draw the reinforcement details. Q3. Discuss the design steps for the design of two way simply supported slab resting on all four sides. The corners are not held down. (2008-09) Q1. Explain the following – (i) Short term and Long term deflections and factors affecting them. (ii) Control of cracking of RC structures. Q2. A rectangular cantilever beam of span 4 m is 350 mm x 650 mm in cross section. Binding moment at the support due to uniformly distributed service load is 150 kN-m, out of which 50% moment is due to permanent loads. Check the beam for deflection. It carries 3-25 mm bars in tension at an effective cover of 50 mm. Use M20 grade concrete and Fe415 grade steel. Q3. Design a simply supported slab for a room having internal size of 8m x 3.5m. Walls are 300 mm tick. The superimposed load is 4.5 kN/m2. Use M20 grade concrete and Fe415 grade steel. (2007-08) Q1. What do you understand by short term and long term deflection ? What are the factors affecting these deflections ? What are the different causes of cracking ? How is it taken care of the design ? Q2. A rectangular cantilever beam of length 4 m has cross section 300 mm x 600 mm (over all depth). Bending moment at support due to uniformly distributed service loads is 200 kN-m. Compute the deflection. It carries 4-20 mm bars in tension at an effective cover of 50 mm. Use M20 grade mix and Fe415 grade steel. Q3. Design a one way slab with a clear span of 40 m, simply supported on 230 mm thick masonry walls and subjected to a LL of 4 kN/m2 and surface finish of 1 kN/m2. Assume M15 concrete and Fe415 steel. Unit – V (2010-11) Q1. A circular column 4.6 m high is effectively held in position at both the ends and restrained against rotation at one end. Design the column to carry an axial load of 1150 kN if its diameter is restricted to 450 mm. Use M20 mix and Fe415 steel. Q2. A short RCC square column is to be designed to catrry a factored load of 2400 kN. The reinforcement is restricted to 2% of gross area. Design the column using M25 concrete and Fe415 steel. Q3. Column of a multistory building is reinforced with 20 mm dia Fe415 bars. Calculate the lap length required. Use M25 grade concrete. (2009-10) Q1. Design the reinforcement in the circular column of diameter 300 mm with helical reinforcement to support a factored load of 1500 kN. The column has an unsupported length of 3 m and is braced against side sway. Q2. A short column 400 mm x 400 mm is reinforced with 4 nos – 25 mm dia. bars. Find the ultimate load carrying capacity of the column if the minimum eceentricity is less than 0.05 times the lateral dimensions. Q3. Explain the following – (i) No sway and sway columns (ii) Helically reinforced columns (iii) Slenderness ratio (2008-09) Q1. Design a short column to carry an axial load of 2200 kN. Use M20 grade concrete and Fe415 grade steel. Q2. Design a circular column to carry an axial load of 1750 kN using vertical reinforcement. Use M20 grade concrete and Fe415 grade steel. Q3. Write down the provisions of IS 456 with respect to following – (i) Longitudinal reinforcement in RC columns. (ii) Lateral reinforcement in RC columns. (2007-08) Q1. What is meant by slenderness ratio of a compression member and what are its implications ? Q2. Distinguish between unsupported length and effective length of a compression member. Also differentiate between braced column and unbraced column. Q3. Design the longitudinal and lateral reinforcements in a rectangular reinforced concrete column of size 300 mm by 600 mm to support a factored axial load of 1400 kN. The column has an unsupported length of 3 m and is braced against side way in both directions. Adopt M20 grade concrete and Fe415 HYSD bars. Q4. Sketch a typical axial load moment interaction curve for a column and explain the salient points on it. A column is subjected to a uniaxially eccentric load which results in a point (on the interaction diagram) that lies (i) marginally outside (ii) marginally inside the envelope of the ‘design interaction curve’. Comment on the safety of the column for the two situations.