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Monday, August 22, 2016

Design of Reinforced Concrete Staircase According to Eurocode 2

1.0 Introduction



In multi-storey buildings, ramps, elevators, escalators, and stairs are often employed to facilitate vertical circulation. Circulation refers to the movement of people and goods between interior spaces in buildings, and to entrances and exits. Stairs are important building elements that are used to provide vertical
circulation and access across different floor levels in a building. It is also recommended that when an access height exceeds 600mm, a staircase should be provided. In modern architecture, stairs are designed to be aesthetically pleasing, and this contributes immensely to the interior beauty of a house. There are different types of stairs with different configurations. For stairs, the recommended slope for comfort is 27°, but for practical purposes, this can sometimes be extended to 35°.


To read this article offline, download the full paper in PDF format by clicking HERE




Types of stairs
Generally, stairs are usually of the following types:
• straight
• circular
• curved or spiral or
• a combination of the above mentioned types.

Straight stairs are stairs along which there is no curvature or change in direction on any flight between two successive floors or levels. There are several possible arrangements of straight stairs. For example, they may be arranged in a straight run with a single flight between floors, or a series of flights without change in direction.

Also, straight stairs may permit a change in direction at an immediate landing. When the stairs require a complete reversal of direction, they are called parallel stairs or half landing stairs (turning through 180°). When successive flights are at an angle to each other, (usually 90°), they are called angle stairs or quarter turn stairs. In addition, straight stairs may be classified as scissors stairs when they comprise a pair of straight runs in opposite directions and are placed on opposite sides of a wall.




Circular stairs when viewed from above appear to follow a circle with a single centre of curvature and large radius.

Curved stairs when viewed from above appear to follow a curve with two or more centres of curvature, such as an ellipse.

The picture below shows a composite curved staircase. It made of a combination of steel and timber.


Spiral stairs are similar to circular stairs except that the radius of curvature is small and the stairs may be supported by a column.

1.1 Components of a staircase

Flight: A series of steps extending from floor to floor, or from a floor to an intermediate landing or platform.

Guard: Protective vertical barrier along edges of stairways, balconies, and floor openings.

Landings (platforms): Used where turns are necessary or to break up long climbs. Landings should be level, as wide as the stairs, and at least 1000mm long in the direction of travel.

Step: Combination of a riser and the tread immediately above.

Rise: Distance from floor to floor.

Run: Total length of stairs in a horizontal plane, including landings.

Riser: Vertical face of a step. Its height is generally taken as the vertical distance between treads.

Tread: Horizontal face of a step. Its width is usually taken as the horizontal distance between risers.

Nosing: Projection of a tread beyond the riser below.

Soffit: Underside of a stair.

Railing: Framework or enclosure supporting a handrail and serving as a safety barrier.

Baluster: Vertical member supporting the handrail in a railing.

Balustrade: A railing composed of balusters capped by a handrail.

Handrail: Protective bar placed at a convenient distance above the stairs for a handhold.

1.2 Brief ideas on selection of staircase dimensions


Headroom
Ample headroom should be provided not only to prevent tall people from injuring their heads, but to give a feeling of spaciousness. A person of average height should be able to extend his hand forward and upward without touching the ceiling above the stairs. Minimum vertical distance from the nosing of a tread to overhead construction should preferably never be less than 2100mm.


Stairway Width
Width of a stairway depends on its purpose and the number of persons to be accommodated in peak hours or emergencies. Also there are building codes that regulate the geometric design of stairways. The following can be used as guidelines;

*For residential flats between two stories to four storeys, use a minimum width of 900mm, for flats more than 4 storeys, use width of 1000mm.
*For public buildings of under 200 persons per floor, use width of 1000mm, for buildings between 200 – 400 persons per floor, use a width of 1500mm. For over 400 persons, use width between 1500 – 3000mm. However, when the width of a stair way exceeds 1800mm, it is necessary to divide it using handrails.

Step Sizes
Risers and treads generally are proportioned for comfort and to meet accessibility standards for the handicapped, although sometimes space considerations control or the desire to achieve a monumental effect, particularly for outside stairs of public buildings. Treads should be at least 250mm, exclusive of nosing. The most comfortable height of riser is 175mm. Risers less than 100mm and more than 200mm high should not be used. The steeper the slope of the stairs, the greater the ratio of riser to tread. In design of stairs, account should be taken of the fact that there is always one less tread than riser per flight of stairs. No flight of stairs should contain less than three risers.


1.3 Structural Design of stairs


The theoretical procedures employed in the structural analysis of stairs is the concept of an idealised line structure and when detailing the reinforcement for the resulting stairs, additional bars should be included to limit the formation of cracks at the points of high stress concentration that inevitably occur. The 'three dimensional' nature of the actual structure and the stiffening effect of the triangular tread areas, both of which are usually ignored when analysing the structure, will result in actual stress distributions that differ from those calculated, and this must be remembered when detailing (Reynolds et al, 2008). The typical nature of internal stresses induced in a simply supported straight flight stair and reinforcement pattern is as shown in the picture below.


Simple straight flights of stairs can span either transversely (i.e. across the flight) or longitudinally (i.e. along the flight). When spanning transversely, supports must be provided on both sides of the flight by either walls or stringer beams. In this case, the waist or thinnest part of the stair construction need be no more than 60 mm thick say, the effective lever arm for resisting the bending moment being about half of the maximum thickness from the nose to the soffit, measured at right angles to the soffit. When the stair spans longitudinally, deflection considerations can determine the waist thickness. In principle, the design requirements for beams and slabs apply also to staircases, but designers cannot be expected to determine the deflections likely to occur in the more complex stair types. BS 8110 deals only with simple types, and allows a modified span/effective depth ratio to be used. The bending moments should be calculated from the ultimate load due to the total weight of the stairs and imposed load, measured on plan, combined with the horizontal span. Stresses produced by the longitudinal thrust are small and generally neglected in the design of simple systems.

2.0 Sample Design


A section of a staircase is as shown above. The width of the staircase is 1160mm. We are expected to carry out a full structural analysis and design of the staircase according to EC2 using the following data; Density of concrete = 25 KN/m3; Compressive strength of concrete (Fck) = 30 N/mm2; Yield strength of steel (Fyk) = 460 N/mm2; Concrete cover = 25mm; Imposed load on staircase (qk) = 4 KN/m2 (category C3).
The structural idealisation of the staircase is shown below;


The loading of the structure for dead and live loads at ultimate limit state is shown below;


The ultimate bending bending moment diagram due to ultimate loads is shown below; 


The ultimate shear force diagram is shown below; 


Flexural design of the staircase span 


Check for deflection 


Shear design 


Reinforcement details (sectional view) 


Reinforcement details (plan view) 

To download the full paper in PDF format, click HERE







10 comments:

  1. Replies
    1. From the weight of construction materials, the dimensions of members, and specified live loads from the code of practice.

      Delete
  2. Another work done well! All the best

    ReplyDelete
  3. good example, please provide other staircase type example.tq

    ReplyDelete
  4. From where have you got value to compare with small k? (0.167)

    ReplyDelete
  5. Thank you very much.It was really helpful for me to clear ideas of staircase design with pictures. Appreciate your effort and time to post this article.

    Keep posting.

    Way to go. . .

    ReplyDelete
  6. Thank you very much.It was really helpful for me to clear ideas of staircase design with pictures. Appreciate your effort and time to post this article.

    Keep posting.

    Way to go. . .

    ReplyDelete
    Replies
    1. Thanks you so much. Keep sharing our posts with others so that they can benefit too.

      Delete