Flat slabs
A flat slab is a concrete slab supported directly on columns, without beams. It gives a flat soffit, lower storey heights and fast, simple formwork, which is why it is common in offices, car parks and hospitals. The price is that the slab must carry the load to the columns on its own, and the most critical region is the small area around each column.
Bending in a flat slab is two-way. For design, each panel is divided into column strips over the column lines and middle strips between them. IS 456 allows the direct design method for fairly regular layouts, which distributes a total static moment between negative and positive regions and between strips, and the equivalent frame method for more general cases. Drop panels, local thickenings around columns, and column heads, flared tops, increase the depth where moments and shear are highest.
Punching shear is the critical check. The column tries to push through the slab along a truncated cone. IS 456 checks shear stress on a critical perimeter at half the effective depth from the column face, against an allowable value that grows with the square root of concrete strength and is reduced for elongated columns. When the stress is too high, the designer thickens the slab, adds a drop panel, enlarges the column, or provides shear reinforcement such as studs or links.
Flat slabs are flexible, so deflection and long-term creep must be checked, and openings near columns cut the punching perimeter. In earthquake zones a flat slab is not relied upon as the lateral system; walls or frames carry the seismic load, and the slab-column connections must still tolerate the drift.
Check punching at edge and corner columns first; their reduced perimeter and unbalanced moment usually govern.
Punching critical perimeter (square column c × c): b₀ = 4 (c + d)Allowable punching stress (IS 456): k_s τ_c with τ_c = 0.25 √f_ck and k_s = 0.5 + β_c ≤ 1 (β_c = short side / long side of column)Punching resistance V_c = k_s τ_c b₀ d
Ignoring openings for services near a column, which cut the critical perimeter.
Problem. A 500 mm square interior column supports a flat slab with effective depth 200 mm, M25 concrete. Find the punching resistance without shear reinforcement and check a factored column reaction of 600 kN.
- Critical perimeter b₀ = 4 × (500 + 200) = 2 800 mm.
- τ_c = 0.25 √25 = 1.25 N/mm²; β_c = 1, so k_s = 0.5 + 1 = 1.5, limited to 1.0.
- V_c = 1.0 × 1.25 × 2 800 × 200 = 700 000 N = 700 kN.
- 600 kN < 700 kN, so punching is satisfied without shear reinforcement (other checks still apply).
Answer. V_c = 700 kN, adequate for 600 kN
Quick quiz
1Where is the punching critical perimeter in IS 456?
At half the effective depth from the column face.
2Name two ways to improve punching resistance.
Drop panel, thicker slab, larger column or shear studs.
3Should a flat slab be the main earthquake-resisting system?
No. Walls or frames should carry the lateral load.
- IS 456 (India): Plain and reinforced concrete: general rules for materials, durability, design and construction.
- ACI 318 (USA): Building code requirements for structural concrete.
- EN 1992 (Eurocode 2) (Europe): Design of concrete structures.
Clauses and documents to read
- IS 456:2000, cl. 31: flat slabs (direct design and equivalent frame methods; shear in flat slabs)
Cited by number and clause only. We do not reproduce clause text, tables or figures (BIS Act 2016, s.10(5) and s.11). Check the current edition and amendments before use.
References and further reading
Standard texts, listed in no order of merit. We do not copy text, figures, tables or solved problems from any book; our explanations and examples are original.
- S. Unnikrishna Pillai, Devdas Menon, Reinforced Concrete Design, McGraw Hill Education (India), latest edition.
- J. K. Wight, J. G. MacGregor, Reinforced Concrete: Mechanics and Design, Pearson, latest edition.
- A. H. Nilson, D. Darwin, C. W. Dolan, Design of Concrete Structures, McGraw Hill, latest edition.
- R. Park, T. Paulay, Reinforced Concrete Structures, Wiley, 1975.
Free and official sources
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