## Design Guide: RC Staircases

A staircase is a flight of steps between multiple levels. Simple, right? Well, as it turns out, there’s a lot more engineering behind just choosing a standard size from a manufacturer. In fact, most staircases are specially designed to meet required design standards. Some key design standards include AISC 360/16 or ASIC 318/19 - Specifications for structural steel or concrete buildings respectively, Eurocode 2 or 3 - Design of Concrete and Steel Structures respectively or in Australian Standards- AS 1657.

Safe to say, staircases need to be designed as structural components. Staircases are most commonly made from steel or concrete or both, and even then, the options are endless; however, regardless of the complexity, engineers should treat staircases as a system of beams and supports that carry load. Below is a summary of some of the universal key terms and definitions ubiquitous in staircase design, and what follows is a step-by-step guide to RC Staircase Design to Australian Standards.

### Technical Terms

**Putting it all together:**

### Steps to staircase design according to AS1657 and Building Code of Australia (BCA)

Architects and designers are spoiled for choice when it comes to staircase design, from feature stairs, floating stairs to transparent stairs, staircases no longer only need to meet a functional purpose, they can be the centrepiece in building design. However, local regulations and standards often limit the use of innovative designs and materials. Australian Standards are quite complicated when it comes to leveraging unique staircase design. So, we’ve provided a step-by-step guide to RC staircase design using Australian standards and regulations.

Staircases used in habitable rooms or used externally must comply with the Building Code of Australia (BCA) Part 3.9.1, and all areas not specified in BCA should be referenced in the Australian Standard AS1657 Section 4.

Staircases in storage areas or un-habitable spaces such as attics can be constructed outside the scope of the BCA, but designs must comply with AS 1657.

Three key Australian standards outline requirements for the design, construction and installation of stairways:

- AS 1428.1: Design For Access and Mobility, General Requirements for Access - New Buildings
- AS 1657: Fixed Platforms, Walkways, Stairways and Ladders - Design, Construction, Installation
- AS/NZ 4586: Slip Resistance Classification of New Pedestrian Surface Materials

Before we go into a step-by-step guideline for staircase design, we’ll summarise some of the key design requirements and specifications for staircases according to the BCA and the design standards listed above:

**Risers and Stair Treads**-The angle of pitch of a staircase shall be not less than 26.5 degrees and not greater than 45 degrees

**-A staircase must have no more than 18 risers without a 750mm2 landing or rest area.**

-The staircase should have no more than 36 rises without a change of direction

-Your staircase must have no less than two risers or have no more than 18 risers without a 750mm2 landing or rest area.

-Each tread and riser must be the exact measurement within a single flight.

-Tread depth must be greater than or equal to 185mm

-All treads and top nosing must have a slip-resistant finish or a non

-slip strip system near the edge of each tread nosing.

-If a door in your home opens onto a staircase, a landing is required unless the floor-to-floor dimension is less than 570mm. If the floor-to-floor is less than 570mm, all that is required is a zero tread

**Handrails**- Handrails are required on all exposed sides of a staircase unless there’s a fixed structure within 10cm of the stairway, and every staircase needs one handrail. A handrail is required on both sides of a stairway if it is wider than 1m.

**-With floors or balconies with the potential to fall more than 4000mm to the surface below, all horizontal elements between 150mm and 760mm above the floor or balcony must not facilitate climbing**

Flights

Flights

-All the steps on the same flight must be identical.

**Loadings**When it comes to loads, Australian standards specify that stairs need to have:

+ a minimum loading of 2.5kPa+ or an equivalent linear load of 2.2kN/m

+ a minimum point load of 1.5 kN that is applied on a 10cm2 area on each step.

**

**loading requirements differ for landings.**

*Note:***Balustrades**-The height of the balustrade on the pitch of the staircase must be not less than 865mm from the nosing line. This dimension is taken from the nosing line with the rail or balustrade running parallel up the pitch of the staircase.

-The height of the balustrade on a finished floor, balcony, landing, or path must be above 1000mm.

**Platforms and Landings-**Any stairway that has more than 15 steps has to incorporate a landing in between.

### A step-by-step guide to RC Staircase Design to Australian Standards:

A staircase must be designed so it fits properly in a proposed building plan; therefore, it is difficult to provide definite dimensions and guidelines without the exact type and orientation of the building. Nevertheless, we’ve provided some general steps and a cheatsheet for simply supported longitudinally spanning RC stairs:

In the case of longitudinally spanning stairs, the supports to the stair slab are parallel to the riser, commonly in two locations, causing the slab to bend longitudinally between the supports.

**The Cheat-sheet (Stairs to BCA/NCC-3.91 & AS1657)**

**Determine the height of each flight.**

The height of each flight is determined by dividing the total storey height by the number of flights. Remember that according to Australian standards, the minimum number of flights is two, which is equivalent to two risers or a minimum height of 230mm. The maximum number of risers in a flight before a landing is required is 18.

**Determine flight width.**

The designer chooses the width of each flight. In residential settings, the minimum codified width of a flight is 600mm; this is generally very narrow for most circumstances as often furniture or fixtures need to be taken up the stairs. So, ideally, a width of 1000mm is desirable. Note that stair width is measured from the inside of a handrail to the inside of the other handrail. However, this staircase configuration is more common in commercial settings than residential ones, so care must be taken when measuring flight width.

**Calculate the number of Risers and Treads.**

The number of risers required is simply the total height of each flight divided by the height of each riser:

The number of treads is calculated as the number of risers minus 1:

**Calculate the Effective Span (L).**

In a longitudinally spanning staircase and in a simply supported arrangement, the effective span (L) can be taken as the distance between the centrelines of support:

Where

x = X but < 1.8 m (whichever is less)

y = Y but < 1.8 m (whichever is less)

**Assume waist slab thickness.**

The thickness of a waist slab can be assumed to be between L/20 and L/25 where L is the effective span calculated in Step 4 or between 40mm to 50mm per metre run of horizontal span.

**Calculate the total load on the staircase.**

As per the standards, stairs should have a loading capacity of 2.5 kPa and 2.2 kN per linear meter whilst also withstanding a point load of 1.5kN/10cm^{2} on each step. Total loads (w) on stairs include the dead load + live load + floor finishes where:

** Dead Load:** self-weight of steps + self-weight of waist slab (common in RC stairs) + self-weight of tread finish

** Live Load:** generally taken between 2 kPa to 4 kPa (refer to Table 3.1 of AS 1170.1 structural design actions for reference values for imposed loads). Where a stair tread or landing is structurally independent of the adjoining elements, it should withstand a line load of 2.2 kN/m of the span of the tread or landing.

** Floor finishes:** generally taken between 0.8 kPa to 1 kPa.

*Note* that the total load (w) obtained above will be inclined, so it must be converted into an equivalent horizontal load by multiplying it with a factor that factors in the length of the tread (T) and height of the riser (R) and then finally multiplied by the appropriate factor of safety obtained in AS1170.1:

*Note* on the landing area, the weight of steps is not included.

**Calculate maximum bending moment.**

With the maximum loading (w) obtained in Step 4, the reactions at each end support can be calculated using equilibrium equations. Given reactions and load values, the maximum bending moment can be calculated where it will occur at a point of zero shear. Suppose the system is treated as a simply supported beam with a UDl. In that case, the max bending moment can be found as:

Where W is the factored total uniformly distributed load from Step 5, L is the effective length of the staircase calculated in Step 4.

Flights with significant end restraint, such as those that are continuous with their supporting beams or slabs, may be designed for a mid-span design moment of:

Using the maximum bending moment, you can calculate the minimum waist slab depth required using this equation and solving for d:

Where,

f_{sy}= yield strength (MPa)

A_{st}= cross-sectional area of longitudinal tensile reinforcement

d = depth of waist slab (mm)

If the calculated depth is less than the assumed thickness of the slab than the design is safe. Otherwise a greater waist slab depth needs to be assumed and steps repeated.

**Reinforcements**

The main reinforcement for stairs is calculated as:

P _{(approx)} is the reinforcement for the slab per metre width of the slab and it provides a moderate degree of crack control for flexural strength at first interior support.

The minimum reinforcement for the waist slab to not fail upon cracking is given by:

Where,

Ds = overall depth (mm)

f'_{ct.f} = 0.6 f'_{c} (MPa)

f_{sy} = characteristic yield strength of reinforcement (MPa)

The minimum reinforcement for crack control: temp and shrinkage

Finally the area of steel reinforcement required is:

Where,

P = required reinforcement

b = width of slab (taken as 1000mm)

d= depth of slab (mm)

In the simply supported case, a positive moment will be induced by the uniform loading, causing tension on the underside of the beam, requiring reinforcement to be placed on the bottom side of the beam.

**Check for Shear.**

The slab's design shear strength shall be calculated per Clause 8.2 of AS3600: 2018. Flexural shear is unlikely to be a critical condition; however, your design must satisfy the following condition:

Where,

where x is the longitudinal strain factor for concrete, and the formula for this factor is a bit of a doozy, so AS3600-2018 gives allowance for a simplified approach and the process can be found in Clause 8.2.4.3 in AS 3600-2018. Note that this simplified approach only applies to non-post tensioned sections. If you are confident that your post-tensioning effects are increasing beam shear capacity (most of the time they will), the simplified approach would be safe to use.

b_{v} = effective width of a web for shear

d_{v} = effective shear depth (see clause 8.2.1.9)

**Check for Deflection**

Strength requirements are not always critical for stair slabs. It is therefore essential that the other limit states are checked, particularly deflection. For concrete longitudinal straight stairs, as before, it is treated as a one-way spanning slab and deflection requirements can be addressed per Clause 9.3.2 or Clause 9.3.3 in AS3600 making appropriate allowances as per the standard.

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### References

[1] Standards Australia, *AS 3600:2018 Concrete Structures.* Sydney, Australia, 2010