Scope & Application
IS 456:2000 applies to the design of plain and reinforced concrete structures used in buildings and civil engineering works. It covers both the Limit State Method (primary) and the Working Stress Method (permitted only for specific cases). Cl. 1.1
The code does not cover:
- Prestressed concrete structures (see IS 1343)
- Liquid-retaining structures (see IS 3370)
- Concrete roads and pavements
- Mass concrete (e.g., dams)
- Specialised structures like nuclear containment vessels
Design Philosophy
IS 456 adopts the Limit State Design (LSD) approach, which ensures that a structure remains fit for use throughout its intended life by checking two primary limit states:
Partial safety factors are applied separately to loads (γf) and material strengths (γm) to account for uncertainties independently. Cl. 18.2
Design Strength = Characteristic Strength / γm Partial safety factor concept — Cl. 18.2.1 & 18.2.2
Grades of Concrete
Concrete is designated by its characteristic compressive strength (fck) at 28 days, expressed in N/mm². The prefix 'M' denotes the mix grade. Cl. 6.1, Table 2
| Grade | fck (N/mm²) | Typical Use | Min. Cement (kg/m³) |
|---|---|---|---|
| M15 | 15 | Plain concrete, levelling courses | 250 |
| M20 | 20 | Minimum grade for RCC Cl. 6.1.3 | 300 |
| M25 | 25 | Residential beams, slabs | 300 |
| M30 | 30 | Commercial building columns | 320 |
| M35 | 35 | Heavy industrial structures | 340 |
| M40 | 40 | High-rise column lower floors | 360 |
| M45 – M60 | 45–60 | Special structures, precast | As per mix design |
Durability & Nominal Cover
Nominal cover is the design depth of concrete cover to all steel reinforcements, measured from the exposed surface to the outermost bar. It protects against corrosion and fire. Cl. 26.4, Table 16
| Exposure | Description | Nominal Cover (mm) |
|---|---|---|
| Mild | Protected interior, dry environment | 20 |
| Moderate | Sheltered, humid, occasional wetting | 30 |
| Severe | External in coastal/industrial zone | 45 |
| Very Severe | Direct contact with aggressive soil/water | 50 |
| Extreme | Tidal/splash zone, corrosive fumes | 75 |
For flat slabs, add 5 mm to the above values. The nominal cover should not exceed 75 mm for main reinforcement in beams and columns without secondary transverse steel near the face.
Modulus of Elasticity
The short-term static modulus of elasticity (Ec) for concrete is given by: Cl. 6.2.3.1
Calculated values for common grades:
| Grade | fck | Ec (N/mm²) | Ec (GPa) |
|---|---|---|---|
| M20 | 20 | 22,360 | 22.4 |
| M25 | 25 | 25,000 | 25.0 |
| M30 | 30 | 27,386 | 27.4 |
| M35 | 35 | 29,580 | 29.6 |
| M40 | 40 | 31,623 | 31.6 |
For long-term loading, the effective modulus accounts for creep:
Limit State Design — General Provisions
IS 456 specifies partial safety factors for loads and materials that engineers must apply before performing any limit state check. Cl. 18.2
Partial Safety Factors for Loads (γf)
| Load Combination | DL | LL | WL / EL |
|---|---|---|---|
| DL + LL | 1.5 | 1.5 | — |
| DL + WL | 1.5 | — | 1.5 |
| DL + LL + WL | 1.2 | 1.2 | 1.2 |
| DL + ERQ | 1.5 | — | 1.5 |
| DL + LL + ERQ | 1.2 | 1.2 | 1.2 |
Partial Safety Factors for Materials (γm)
| Material | Limit State of Collapse | Serviceability |
|---|---|---|
| Concrete (fc) | 1.5 | 1.0 |
| Steel (fy) | 1.15 | 1.0 |
Therefore, the design strength of concrete = fck / 1.5 = 0.67 fck, and the design yield stress of steel = 0.87 fy.
Flexure — Design of Beams
IS 456 uses a rectangular stress block for the compression zone in limit state flexure design. The stress block parameters are defined in Cl. 38.1.
Stress Block Parameters
| Parameter | Fe 250 | Fe 415 | Fe 500 |
|---|---|---|---|
| xu,max / d | 0.53 | 0.48 | 0.46 |
| Mu,lim factor | 0.148 | 0.138 | 0.133 |
| Ru,max factor | 0.219 | 0.138 | 0.111 |
Minimum & Maximum Steel
| Condition | Requirement | Clause |
|---|---|---|
| Min. tension steel (beam) | Ast,min = (0.85 bd)/fy | Cl. 26.5.1.1 |
| Max. tension steel (beam) | 0.04 × b × D (gross area) | Cl. 26.5.1.2 |
| Min. compression steel | Same as min. tension steel | Cl. 26.5.1.1 |
| Side face reinforcement | 0.1% of web area if depth > 750 mm | Cl. 26.5.1.3 |
Shear & Torsion
Shear design ensures that the beam can resist transverse forces without diagonal tension failure. IS 456 provides nominal shear strength (τc) based on the percentage of tension steel and concrete grade. Cl. 40, Table 19
Key Shear Provisions
Minimum Shear Reinforcement
For solid slabs, minimum shear reinforcement may be omitted when Vu ≤ τc × b × d, provided the slab depth does not exceed 300 mm. Cl. 26.5.1.6 Note
Compression — Design of Columns
Columns are classified as short or long based on the slenderness ratio. Cl. 25.1.2
Key Column Provisions
| Requirement | Value | Clause |
|---|---|---|
| Min. longitudinal steel | 0.8% of gross area | Cl. 26.5.3.1 |
| Max. longitudinal steel | 4% of gross area (6% at laps) | Cl. 26.5.3.2 |
| Min. number of bars (rectangular) | 4 | Cl. 26.5.3.1 |
| Min. number of bars (circular) | 6 | Cl. 26.5.3.1 |
| Min. bar diameter | 12 mm | Cl. 26.5.3.1 |
| Min. eccentricity | Max (L/500 + D/30, 20 mm) | Cl. 25.4 |
Lateral Ties (Transverse Reinforcement)
| Parameter | Requirement | Clause |
|---|---|---|
| Min. tie diameter | Max (d/4, 6 mm) where d = dia of largest longitudinal bar | Cl. 26.5.3.2 |
| Spacing of ties | Least of: least lateral dim, 16d, 300 mm | Cl. 26.5.3.2(c) |
For earthquake-resistant ductile detailing of columns, IS 13920 overrides these tie spacing requirements with much stricter confining hoop rules. See IS 13920 →
Slab Design
Slabs are classified based on the ratio of longer span (Ly) to shorter span (Lx):
| Type | Span Ratio (Ly/Lx) | Bending Behaviour |
|---|---|---|
| One-Way Slab | ≥ 2 | Sags along shorter span; main steel along Lx |
| Two-Way Slab | < 2 | Sags in both directions; steel in both Lx and Ly |
Effective Span to Depth Ratios (Cl. 26.5.2)
| Support Condition | Simply Supported | One End Continuous | Both Ends Continuous | Cantilever |
|---|---|---|---|---|
| Span/Effective Depth | 20 | 23 | 26 | 7 |
These values are for Fe 415 steel. Multiply by 0.8 for Fe 500. Apply modification factors for actual steel percentage per Fig. 4 of IS 456. Cl. 26.5.2.1
Minimum Slab Steel
Bond, Anchorage & Lap Length
Development Length (Ld)
Where τbd = design bond stress:
| Bar Type | M20 | M25 | M30 | M35+ |
|---|---|---|---|---|
| Plain bars (τbd) | 1.2 | 1.4 | 1.5 | 1.6 |
| Deformed bars (τbd) | 1.8 | 2.1 | 2.3 | 2.4 |
Lap Length
| Condition | Lap Length | Clause |
|---|---|---|
| Flexural tension (general) | Ld (full development length) | Cl. 26.2.5.1 |
| Compression (lap) | Ld | Cl. 26.2.5.1 |
| Practical rule-of-thumb (Fe 415) | 47ϕ (tension), 37ϕ (compression) | — |
| Practical rule-of-thumb (Fe 500) | 57ϕ (tension), 45ϕ (compression) | — |
| Min. lap for bars ≤ 12 mm | Min 300 mm | Cl. 26.2.5.1 |
Key Detailing Requirements
| Element | Requirement | Value | Clause |
|---|---|---|---|
| Beam | Min. main bar diameter | 12 mm | Cl. 26.5.1.1(a) |
| Max. spacing of stirrups | Min (0.75d, 300 mm) | Cl. 26.5.1.5 | |
| Column | Min. tie diameter | Max (d/4, 6 mm) | Cl. 26.5.3.2 |
| Slab | Max. spacing of main steel | Min (3d, 300 mm) | Cl. 26.3.3(b)(1) |
| Slab | Max. spacing of distribution steel | Min (5d, 450 mm) | Cl. 26.3.3(b)(2) |
| Footing | Min. main steel diameter | 10 mm | Cl. 26.5.2.2 |
| Wall | Min. vertical steel (RCC) | 0.12% of gross area | Cl. 26.5.2.1 |
Hooks and Bends
| Type | Length Contribution | Clause |
|---|---|---|
| 180° hook (standard) | 16ϕ (for Fe 415 deformed) | Cl. 26.2.2.1 |
| 90° bend | 8ϕ beyond bend | Cl. 26.2.2.2 |
| 135° hook (stirrup) | Equivalent to full Ld contribution | Cl. 26.2.2.1 |
| Bend radius (min.) | 4ϕ for Fe 415/500 | Fig. 5 |
Amendments Summary
Since publication in 2000, four amendments have been issued. Key changes include:
| Amendment | Year | Key Changes |
|---|---|---|
| Amd. No. 1 | 2002 | Corrections to Table 19 shear strength values; editorial fixes |
| Amd. No. 2 | 2005 | Clarification on epoxy-coated rebars; revised fire resistance tables |
| Amd. No. 3 | 2007 | Minimum RCC grade raised from M15 to M20; enhanced durability provisions |
| Amd. No. 4 | 2014 | Updated reference to IS 10262:2009 (mix design); minor corrections |
Related IS Codes
Codes frequently used alongside IS 456: