Definition & Function
A footing (or foundation) is a constructed element at the base of a building that spreads the load from columns, walls, or piers over a sufficient area of soil to keep the contact pressure within the safe bearing capacity of the ground and limit total and differential settlement. IS 456 Cl. 34
Live/Dead Loads β Slab β Beam β Column β Footing β Soil/Rock.
The footing converts high-intensity point loads into low-intensity distributed pressures that the soil can safely support.
In RCC, footings are designed as:
β’ Inverted Cantilevers: Bending upward due to upward soil pressure.
β’ Shear Blocks: Resisting diagonal tension (punching shear) near the column face.
β’ Distribution Members: Ensuring uniform settlement and preventing tilting.
Types of Footings
Footings are classified based on geometry, number of columns supported, and depth relative to structure size. General Classification
Shallow vs Deep Foundations
The choice depends on soil conditions, depth of hard strata, and structural requirements. IS 1904 Cl. 2.1
Shallow Foundation
- Depth: D β€ Width (B) or D < 1.5B.
- Types: Isolated, Combined, Raft, Strip.
- Use Case: Good soil near surface, light-to-medium structures, residential buildings.
- Economy: Generally cheaper if soil is suitable.
- Risk: Sensitive to scour, frost heave, and nearby excavations.
Deep Foundation
- Depth: D > Width (B) or D > 3m (practically).
- Types: Piles, Well Caissons, Drilled Shafts.
- Use Case: Weak surface soil, high loads (skyscrapers, bridges), uplift/resistance needed.
- Economy: Higher cost but essential for poor soil conditions.
- Benefit: Transfers load to deeper, stronger strata.
Design Principles (Limit State Method)
Footing design follows LSM as per IS 456:2000, focusing on strength (moment/shear) and geotechnical limits (bearing/settlement). IS 456 Cl. 34
1. Area Calculation
First, determine the required area ($A$) based on serviceability loads (unfactored):
If soil weight is considered, use Net SBC = Gross SBC β $\gamma_{soil} \times D_f$.
2. Upward Pressure
Calculate factored upward pressure ($q_u$) using factored loads ($1.5 \times$ Dead + Live):
3. Bending Moment
Maximum moment occurs at the face of the column. For a rectangular footing of size $L \times B$ with column $l \times b$:
My = (qu Γ B Γ (L-l)Β²) / 8
4. One-Way Shear (Beam Action)
Critical section is at distance $d$ (effective depth) from column face. Check: $\tau_v = V_u / (B \times d) \le \tau_c$.
5. Minimum Depth
Per Rankine's formula for minimum depth to avoid tensile failure in soil (preliminary check):
Where $\gamma$ = unit weight of soil, $\phi$ = angle of friction.
Soil Interaction & Loading
The interaction between the footing and soil determines whether the design is valid. Key concepts include pressure distribution and eccentricity. IS 1904 Cl. 5
Pressure Distribution
- Uniform: If load acts through centroid. $q = P/A$.
- Trapezoidal/Triangular: If eccentricity ($e$) exists. $q_{max/min} = (P/A) [1 \pm (6e/B)]$.
- No Tension Condition: For soil (which cannot take tension), ensure $e \le B/6$ (Middle Third Rule). If $e > B/6$, the footing lifts off, requiring redesign.
The difference in settlement between adjacent footings. Even if total settlement is within limits, large differential settlement causes severe structural damage (cracking in beams/walls).
Per IS 1904:
β’ Max Differential for RCC Frame: 0.002 Γ Span.
β’ Max Differential for Masonry: 0.001 Γ Span.
Reinforcement Detailing
Proper detailing ensures ductility and prevents brittle shear failure. IS 456 Cl. 26 & Cl. 34.3
- Direction: Provided perpendicular to the column face (along the span direction resisting bending).
- Distribution:
β’ Square Footing: Distributed uniformly across the full width.
β’ Rectangular Footing: Concentrated in the "central band".
Ratio of steel in central band ($W_b$) to total steel ($W_{total}$) = $2 / (W_{total}/W_{short} + 1)$.
Remaining steel distributed equally in outer bands. - Development Length: Bars must extend beyond the critical section by $L_d$ (minus cover). Hooks/L-bends are used at edges.
Concrete cover protects against corrosion and fire.
β’ Direct Contact with Earth: Min 75mm (if cast against soil).
β’ Protected Base: Min 50mm (if cast on lean concrete blinding).
β’ Severe Exposure: Increase by 10-15mm as per Table 16 IS 456.
Vertical bars projecting from the footing into the column.
β’ Size matches column longitudinal bars.
β’ Must provide sufficient development length downwards into the footing ($L_d \ge 47\phi$ typically).
β’ Anchorage is provided by bending hooks or ensuring embedment depth.
Punching Shear & Depth
The most critical failure mode for footings is punching shear β where the column punches through the footing like a punch. The depth of the footing is usually governed by this check, not bending. IS 456 Cl. 34.2.4
- Critical Perimeter: Located at $d/2$ from the column face (where $d$ = effective depth).
- Punching Force ($V_p$): Total upward soil pressure outside the critical perimeter.
- Punching Stress ($\tau_v$): $\tau_v = V_p / (Perimeter \times d)$.
- Allowable Stress ($\tau_c$): $k_s \times 0.25\sqrt{f_{ck}}$.
($k_s = 0.5 + \beta_c \le 1.0$, where $\beta_c$ = ratio of column sides). - Check: $\tau_v \le \tau_c$. If failed, increase footing depth ($d$).
Settlement Checks
Even if the footing does not fail structurally, it must not settle excessively or differentially. IS 1904 Cl. 6
Clay: Limit 65β100mm (uniform).
Excessive total settlement causes utility breaks and drainage issues.
Limit: Typically 0.0025 Γ Span for framed structures.
Causes cracking in non-structural elements and misalignment of doors/windows.
- Use a Raft Foundation if soil is weak.
- Equalize footing areas so contact pressure is similar (reduces differential settlement).
- Pre-consolidate soil (surcharge pre-loading) or use stone columns/vibratory compaction.
Failure Modes
Understanding how footings fail helps in proactive design.
Related Topics
Further reading and resources related to foundation engineering: