Reviving Historic Structural Forms: The Belfast Roof

Reviving Historic Structural Forms: The Belfast Roof

Introduction

The Belfast roof, originating in the industrial city of Belfast during the late nineteenth century, is a testament to innovative structural engineering. This wooden roof truss system provided expansive column-free spaces and boasted lightweight construction and ease of assembly.

In a seminal article in The Structural Engineer, Professor M. H. Gould of Queen's University, Belfast, delved into the historical significance of the Belfast roof, presenting four distinct forms of this architectural marvel.

Change from wood to structural steel

It is proposed to use structural steel in place of wood and use Belfast roof configuration.

Figure 1 Steel profile for Belfast roof


Utilizing Maxwell's Shortest Load Path Theorem, we evaluated four configurations to identify the most optimal design for modern construction needs.

GENERAL ARRANGEMENT

Mindmap 1: Belfast roof four forms
Credit / Source:


McTear's Design

In this configuration, the upper/top chord (arc) is equally divided ( purlin spacing). The two support points are copied down. The offset distance is kept at one-third of the span. The lines joining the new points below support and top chord nodes give bracing members.

Figure 2 Step 1 Circular arc joining support points and rise ( Rise to span ratio 1:5 to 1:9)
Figure 3 Step 2 Joining Uppor chord nodes with left point ( 1/3 span below left support)
Figure 4 Step 3 Joining Upport chord nodes with right point (1/3 span below right support)


Figure 5 Final step Trimming bracing member portion below lower/bottom chord

Anderson's Design

Here geometry is developed by drawing tanget to the arc at upper chord equidistant nodes. The bracing member is drawn from the upper chord node at a 45-degree angle from the tangent line ( refer to Figure 6). This procedure is repeated for all upper chord nodes.

Figure 6 Bracing member at 45 Degrees from tangent at node (upper chord equidistant)
Figure 7 Anderson's Design Belfast Roof

Modern Belfast Roof

In this form, the bracing members are drawn from equidistant upper chord nodes making 45 degrees with the horizontal (refer to Figure 8)

Figure 8 Bracings at 45 Degrees with the horizontal from Upper Chord equidistant nodes
Figure 9 Modern Belfast Roof

Bow-string Belfast roof

The lower/bottom chord member is divided into equal parts. The bracing member is drawn at 45 degrees from the horizontal. This process is repeated for all lower chord equidistant nodes

Figure 10 Equidistant lower chord nodes, bracings are drawn at 45 degrees from horizontal


Shortest Load Path Theorem

Maxwell's shortest load path theorem requires axial force in the truss member and the length of the member.

Four configurations are modelled in general purpose structural analysis software SAP2000 with the following critical wind load case ( wind perpendicular to span of roof)

Figure 11 Critical wind ( Perpendicular direction to span of roof, 6 m bay spacing, 6m x 2kPa = 12 kN/m)


Figure 12 Super Dead Load ( Self Weight of Roof sheet and Purlin, it will be point load at purlin location, applied Uniformly load for preliminary analysis, 6 m x 0.667 kPa = 4kN/m)
Figure 13 Axial Force Diagram for Anderson Design Truss


A summary of work done in four configurations is presented in Table 1 below

Table 1 Work done Summery

The work done in three configurations Anderson design, Modern Belfast and Bow-string are close. The total length of the bracing member is lesser in Anderson's design compared to the Bow-string truss. Anderson's design is a favourable configuration for the Belfast roof.

Conclusion

By incorporating structural steel, we aim to preserve the essence of the Belfast roof while enhancing its structural performance and durability. The structural form also has application in pedestrian crossing bridges (in a bowstring configuration). Anderson's design is the optimum configuration among four roof trusses.

The inherent strengths of this structural form, including its column-free spaces and lightweight construction, make it a compelling choice for modern engineering challenges. In conclusion, by drawing inspiration from historic structural forms like the Belfast roof and integrating them with advancements in materials and construction techniques, we can reinforce our understanding of structural engineering principles while pushing the boundaries of innovation in the built environment.

References

1. Gould, M. H., Professor Jennings, A., Montgomery, R.: The Belfast roof truss, , The Structural Engineer, Volume 70, Issue 7, 1992

2. https://www.ocsc.ie/portfolio-item/east-pavilion-belfast-truss/

3. Roof, A guide to the repair of historic roofs https://www.dlrcoco.ie/sites/default/files/atoms/files/roofs.pdf

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