CE-601 Structural Design and Drawing (RCC-I) - May 2023 Question Paper

Under each question, How to answer lists the points an answer should cover, outlined by CampusPrep from the syllabus. Check the details against your textbook.

1. 7 Marks
   aExplain different properties of Concrete and Steel as per IS:456-2000 clearly.
   How to answer

   • State IS:456-2000 material properties for concrete: characteristic strength, stress-strain, modulus, creep, shrinkage, durability.
   • State properties for steel: yield strength grades, stress-strain, modulus, ductility.
   • Mention design assumptions and partial safety factors.
2. 7 Marks
   bExplain the under, over and balanced section with respect to limit state of RC Design.
   How to answer

   • Define balanced section with limiting neutral axis.
   • Explain under-reinforced section behaviour and ductile failure.
   • Explain over-reinforced section behaviour and brittle failure.
   • Relate to limit state of collapse in flexure.
3. 14 Marks
   A R.C Beam $300\text{ mm} \times 450\text{ mm}$ is reinforced with 3 bars of $20\text{ mm}$ diameter with an effective cover of $50\text{ mm}$ in tension zone. The ultimate shear at the section is $210\text{ kN}$. Design the shear reinforcement Adopt M20 grade and Fe-415 Steel. Sketch the reinforcement details.
   How to answer

   • Calculate effective depth and shear strength of concrete.
   • Check need for shear reinforcement for $V_u = 210\text{ kN}$.
   • Design vertical stirrups spacing using M20 and Fe-415.
   • Sketch cross-section and longitudinal reinforcement details.
4. 14 Marks
   A doubly reinforced beam of width $250\text{ mm}$ and $550\text{ mm}$ effective depth is reinforced with 2 bars of $16\text{mm}$ diameter as compression reinforcement at an effective cover of $50\text{mm}$ and 4 bars of $20\text{mm}$ diameter as tension steel. Find ultimate moment of resistance of beam using M20 concrete and Fe415 steel.
   How to answer

   • Calculate $A_{st}$ and $A_{sc}$ from bar diameters.
   • Determine neutral axis depth and check section type.
   • Apply doubly reinforced beam equilibrium for compression steel.
   • Compute ultimate moment of resistance $M_u$.
5. 14 Marks
   Determine the ultimate moment resistance of a T beam section using Fe-415 grade steel and M20 Concrete grade. Width of Flange is $= 800\text{ mm}$ Depth of slab $= 80\text{ mm}$ Width of rib $= 300\text{ mm}$, Area of steel $= 4$-$20\: \phi$ on tension side.
   How to answer

   • Determine flange and rib dimensions and $A_{st}$.
   • Locate neutral axis: check if within flange or T-beam case.
   • Apply IS:456 T-beam $M_u$ equations.
   • Report ultimate moment of resistance.
6. 14 Marks
   Design a simply supported roof slab for a room $8\text{m} \times 3.5\text{m}$ clear in size with wall thickness $230\text{ mm}$. If the super imposed load is $5\text{ kN/m}^2$ use M20 concrete and Fe415 steel.
   How to answer

   • Calculate effective span from clear size $8\text{m} \times 3.5\text{m}$ and wall thickness.
   • Estimate loads: self-weight + superimposed $5\text{ kN/m}^2$.
   • Design one-way/two-way slab thickness and reinforcement per IS:456.
   • Detail main and distribution steel.
7. 14 Marks
   Determine the reinforcement to be provided in a square column subjected to uni-axial bending with the following data

   1. i)Column size 450 mm x 450 mm
   2. ii)Grades M20 concrete and Fe415 steel
   3. iii)Axial load 2500 kN
   4. iv)Bending moment 200 kN-m
   5. v)Reinforcement is arranged on two sides and four sides
   How to answer

   • Compute $P_u/P_{uz}$ and $M_u$ ratios for $450\times450$ column.
   • Use SP-16 interaction charts for uni-axial bending.
   • Select reinforcement percentage for two-side/four-side arrangement.
   • Detail longitudinal and lateral ties.
8. 14 Marks
   Design the reinforcement for the short column $400\text{ mm} \times 600\text{ mm}$ Subjected to an ultimate axial load of $1600\text{ kN}$ together with ultimate moment of $120\text{ kN-m}$ and $90\text{ kN-m}$ about the major and minor axis respectively. Use M20 grade of concrete and Fe-415 grade steel.
   How to answer

   • Calculate eccentricities and check short column criteria.
   • Use biaxial bending interaction / Bresler equation.
   • Determine required steel for $P_u=1600\text{ kN}$, $M_x=120\text{ kN-m}$, $M_y=90\text{ kN-m}$.
   • Detail $400\times600$ section reinforcement.
9. 14 Marks
   Design a Dog-legged stair for building in which the vertical distance between the floors is $3.6\text{ m}$. The stair hall measures $2.5\text{ m} \times 5\text{ m}$. Allow the live load of $2.5\text{ kN/m}^2$, use M20 concrete and Fe415 steel.
   How to answer

   • Plan going, rise, tread for 3.6 m floor height and $2.5\times5$ m hall.
   • Calculate waist slab thickness for live load $2.5\text{ kN/m}^2$.
   • Design flight and landing reinforcement with M20/Fe415.
   • Detail dog-legged layout in plan and section.