What are Vertical Irregularities?
In earthquake engineering, a regular building is one that is uniform in mass, stiffness, and strength along its height. But real buildings often have abrupt changes in these properties from one floor to another โ creating what IS 1893 calls vertical irregularities.
IS 1893 (Part 1): 2016 classifies vertical irregularities in Table 6 under Clause 7.1. These irregularities are important because they cause concentration of seismic forces in specific storeys, leading to premature collapse during earthquakes.
The Five Types of Vertical Irregularities
๐๏ธ Soft Storey
Lateral stiffness of a storey is less than 70% of the storey above, or less than 80% of average stiffness of 3 storeys above.
Ki < 0.70 Ki+1โ๏ธ Mass Irregularity
Seismic weight of any floor is more than 1.5 times that of adjacent floors. Roof does not count.
mi > 1.5 ร madj๐ช Weak Storey
Lateral strength of a storey is less than 80% of that in the storey above.
Si < 0.80 Si+1๐ Floating / Stub Column
Columns whose lower ends rest on beams โ do not reach foundations. Causes concentrated forces and must be avoided.
โ Prohibited in Zones IIIโV๐ Geometric Irregularity
Horizontal dimension of lateral force resisting system changes by more than 30% between adjacent storeys.
>30% plan setbackWhy Vertical Irregularities Are Dangerous
During an earthquake, seismic energy travels from the ground upward through a building. In a regular building, this energy distributes relatively evenly. But in an irregular building, the abrupt change in stiffness or mass causes energy concentration at the transition zone โ leading to dramatic increases in ductility demand, storey drift, and ultimately collapse.
Soft Storey & Extreme Soft Storey
A Soft Storey is defined in Clause 4.20.1 as: "One in which the lateral stiffness is less than that in the storey above." The quantitative criterion is given in Table 6 of IS 1893.
Definitions (IS 1893 Clause 4.24)
The Storey Lateral Translational Stiffness (Ki) is the total lateral translational stiffness of all lateral force resisting elements (columns, walls, braces) in storey i, in a principal plan direction.
Threshold Criteria โ Table 6, Sl. No. 1
โ A storey is soft if EITHER Criterion A OR Criterion B is satisfied
Extreme soft storey โ Requires dynamic analysis in Zones III, IV, V
How to Compute Ki for Columns
For a storey with columns in a moment frame, the lateral stiffness of each column is:
h = Clear height of storey (in metres)
Total storey stiffness: Ki = ฮฃ(12EI/hยณ) for all columns in storey
Design Requirement for Soft Storey Buildings
- Buildings with soft storey shall have the soft storey columns/walls designed for 2.5 times the storey shears and moments calculated under seismic design forces.
- For extreme soft storey, dynamic analysis is mandatory in Zones III, IV, and V.
- Alternatively, the soft storey must be eliminated by adding stiffening elements (RC walls, bracings).
Mass Irregularity
Mass irregularity occurs when the seismic weight of a floor differs significantly from adjacent floors. Since earthquake inertia force = mass ร acceleration, a sudden jump in mass creates a "heavy" floor that attracts disproportionate seismic forces.
A floor is mass-irregular if its weight is MORE THAN 1.5 times any adjacent floor
EXCEPTION: Roof floor is not included in this check.
What constitutes "Seismic Weight of a Floor"?
As per Clause 7.7.1 and 7.7.2 of IS 1893:
- Dead Load (DL) of the floor slab, beams, columns, walls above and below.
- Imposed Load (IL): 25% of IL for floors with IL โค 3 kN/mยฒ; 50% of IL for floors with IL > 3 kN/mยฒ.
- Weight of permanent equipment and fixtures.
โข A heavy mechanical plant room on an intermediate floor.
โข A transfer slab or outrigger floor that carries significantly more mass.
โข A floor with thick concrete walls (e.g., safe room or server room).
Design Consequence
For buildings with mass irregularity, IS 1893 recommends dynamic analysis (Modal Response Spectrum Method as per Clause 7.7) rather than the simple Equivalent Static Method, because the static method assumes linear mass distribution and cannot capture the effect of concentrated mass accurately.
Weak Storey & Extreme Weak Storey
A Weak Storey is defined in Clause 4.20.2 as: "One in which the lateral strength (cumulative design shear strength of all structural members) is less than that in the storey above."
Strength of storey i < 80% of storey above
Computing Storey Lateral Strength (Si)
The lateral shear strength of a storey is the sum of lateral strengths of all lateral force resisting elements. For a reinforced concrete moment frame:
Total storey strength: Si = ฮฃ Scol for all columns
Floating Columns (Stub Columns)
A floating column (also called a stub column or hanging column) is a column whose lower end rests on a beam and does not extend down to the foundation. It appears to "hang" in mid-air or "float" in the middle of the structure.
Why is it Dangerous?
Floating columns transfer their entire vertical load (and seismic shear) to the supporting beam. During an earthquake:
- The transfer beam experiences large shear forces and bending moments it wasn't fully designed for.
- Vertical seismic effects can cause the floating column to punch through the beam.
- The discontinuity in the load path creates torsional eccentricity and unpredictable failure modes.
- A sudden concentration of forces at the beam-column junction can cause brittle shear failure.
Common Architectural Scenarios with Floating Columns
- Buildings with an overhanging upper floor that adds columns not present at the ground level.
- Ballroom or showroom concept where the ground floor is wide open and upper floors have more columns.
- Mixed-use buildings where commercial ground floor needs open plan but residential upper floors have dense column grids.
Vertical Geometric Irregularity
Geometric irregularity in the vertical direction occurs when the plan dimension (footprint) of the lateral force resisting system changes significantly between adjacent storeys.
If any storey's horizontal dimension differs by more than 30% from adjacent storey โ Geometric irregularity
Common examples: Step-back buildings, Podium structures, Setback towers
Examples
- Step-back buildings on hillsides where each storey steps back along the slope.
- Podium-tower buildings where a wide base (podium) supports a narrow tower.
- Inverted pyramid shape buildings where upper floors are wider than lower ones.
Table 6 โ Vertical Irregularities (Complete)
The table below reproduces Table 6 of IS 1893 (Part 1): 2016, which lists all vertical irregularities with their quantitative thresholds.
| Sl. No. | Type | Definition / Criterion | Category | Design Implication |
|---|---|---|---|---|
| 1a | Soft Storey | Ki < 0.70 Ki+1 OR Ki < 0.80 ร avg(Ki+1, Ki+2, Ki+3) |
Irregular | Design columns/walls for 2.5ร storey shear; Dynamic analysis preferred |
| 1b | Extreme Soft Storey | Ki < 0.60 Ki+1 OR Ki < 0.70 ร avg(Ki+1, Ki+2, Ki+3) |
Extreme | Dynamic analysis MANDATORY in Zones III, IV, V; Special detailing required |
| 2 | Mass Irregularity | mi > 1.5 ร mi-1 OR mi > 1.5 ร mi+1 Roof not checked |
Irregular | Dynamic analysis (RSM) required; static method insufficient |
| 3a | Weak Storey | Si < 0.80 ร Si+1 | Irregular | Design for amplified forces; special detailing as per IS 13920 |
| 3b | Extreme Weak Storey | Si < 0.65 ร Si+1 | Extreme | Dynamic analysis MANDATORY in Zones III, IV, V; Prohibited without special analysis |
| 4 | Floating / Stub Column | Columns whose lower ends rest on beams instead of foundations | Critical | AVOID in Zones III, IV, V; If used, dynamic analysis + amplified force design mandatory |
| 5 | Vertical Geometric Irregularity | Horizontal dimension of LFRS > 1.30 ร adjacent storey dimension | Irregular | 3D dynamic analysis; attention to torsion and step-back effects |
Comparison: Soft Storey vs Weak Storey Thresholds
| Parameter | Irregular Threshold | Extreme Threshold | IS Reference |
|---|---|---|---|
| Stiffness Ratio Ki/Ki+1 | < 0.70 (or < 0.80 of 3-storey avg) | < 0.60 (or < 0.70 of 3-storey avg) | Table 6, Sl. 1a, 1b |
| Strength Ratio Si/Si+1 | < 0.80 | < 0.65 | Table 6, Sl. 3a, 3b |
| Mass Ratio mi/madj | > 1.50 | โ (only one level) | Table 6, Sl. 2 |
| Geometric Ratio Li/Li+1 | > 1.30 | โ (only one level) | Table 6, Sl. 5 |
Design Consequences & Code Requirements
Analysis Method Requirements
| Condition | Zone II | Zone III | Zone IV & V |
|---|---|---|---|
| Regular building, โค12m height | ESM* | ESM | ESM |
| Regular building, >12m height | ESM | RSMโ | RSM |
| Irregular (any Table 6 type) | RSM preferred | RSM | RSM/THMโก |
| Extreme Soft/Weak Storey | RSM | RSM Mandatory | RSM/THM Mandatory |
* ESM = Equivalent Static Method | โ RSM = Response Spectrum Method | โก THM = Time History Method
Force Amplification Requirements
Key Takeaways for Students
๐งฎ Vertical Irregularity Calculator
IS 1893 (Part 1): 2016 โ Table 6 Compliance Checker | Enter storey data and check against code criteria
| Storey i | Ki (kN/m) | Ki+1 (kN/m) | Ki/Ki+1 | Crit. A (โฅ0.70?) | 3-Storey Avg | Ki/Avg (โฅ0.80?) | Status |
|---|
| Floor i | Wi (kN) | Wi-1 (kN) | Wi+1 (kN) | Ratio vs Below | Ratio vs Above | Status |
|---|
| Storey i | Si (kN) | Si+1 (kN) | Ratio Si/Si+1 | Weak (โฅ0.80?) | Extreme (โฅ0.65?) | Status |
|---|
| Storey i | Li (m) | Li+1 (m) | Ratio Li/Li+1 | Ratio Li+1/Li | Status |
|---|
Practice Quiz โ Vertical Irregularities
Test your understanding of IS 1893 Table 6 criteria. Score: 0 / 6