Designing a Continuous Two-Way Slab Following Indian Standards

In the realm of structural design, creating a two-way continuous slab that complies with Indian Standards involves considering specific parameters and calculations. This article provides a detailed walkthrough of the design process using simple language and practical examples.

Understanding Two-Way Slabs

A two-way slab is a structural element supported on all four sides by beams, carrying loads in both directions. Conversely, a continuous slab extends over three or more beams in a given direction, forming a unified structure with beam supports.

To distinguish between one-way and two-way slabs, we look at the ratio of longer span (ly) to shorter span (lx). If ly/lx is less than 2, it’s identified as a two-way slab; otherwise, it’s considered a one-way slab.

Ways to Provide a Two-Way Slab

Two-way slabs can be implemented in two ways:

  1. Simply supported slabs spanning in two directions.
  2. Continuous two-way slabs.

In this article, we delve into the design of a continuous two-way slab with one short edge being discontinuous.

Example: Designing a Two-Way Continuous Slab

Let’s walk through the design of a slab with specific details:

  • Concrete Grade: M20
  • Steel Grade: Fe500
  • Concrete Strength (fck): 20 N/mm²
  • Steel Strength (fy): 500 N/mm²
  • Longer Span (ly): 4850 mm
  • Shorter Span (lx): 3150 mm
  • Boundary Conditions: One short end discontinuous

Step-by-Step Design Process

Step 1: Check the Type of Slab

Considering ly/lx = 1.54 < 2, the slab is identified as a two-way slab.

Step 2: Preliminary Dimensioning
  • Slab Thickness: 120 mm
  • Clear Cover: 20 mm
  • Effective Depth: 96 mm
Step 3: Load Calculation

Total Load (Wu) = 9.75 kN/m²

Step 4: Moment Calculation

Using bending moment coefficients and considering edge conditions, we calculate moments along the short and long spans.

Step 5: Check for Depth

Ensure the selected effective depth is sufficient to resist the design ultimate moment.

Step 6: Reinforcement Calculation

Determine the required reinforcement along both shorter and longer directions based on moment calculations.

Step 7: Check for Shear Stress

Verify that the slab is safe against shear stress according to IS 456:2000.

Step 8: Check for Deflection

Ensure the slab meets deflection criteria as per IS 456:2000.

Step 9: Detailing of Two-Way Slab Design

Proceed with detailing the design, specifying reinforcement details along shorter and longer directions.

Conclusion

In conclusion, designing a two-way continuous slab adhering to Indian Standards involves a systematic approach, considering various factors and calculations. This comprehensive guide aims to simplify the process for a better understanding of structural design principles.

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