Timber Structures. Modulus of Elasticity (stiffness) Bending moment diagrams. ! Technical concepts: ! Review of masonry mechanics



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Timber Structures! Review of masonry mechanics! Merits of wood as a structural material! Possibilities in wood structure! Technical concepts: Modulus of Elasticity (stiffness) Bending moment diagrams

Masonry Structure! Must act in compression (no resistance to tension)! Very high compressive strength Design is a problem of form Stability and not strength limits masonry! Thrust line: line of forces acting within a masonry structure to ensure that compression is maintained

Construction Process

Construction Process

Construction Process

Construction Process

Masonry Design: Line of Thrust must be within the masonry P

Eladio Dieste (1917-2000)! Trained as a civil engineer in Uruguay! 1947: Completed Casa Berlingieri with his first use of reinforced brick! 1960: Completed Church of Atlantida! 1995: Retrospective of his career held in Spain

The Future of Brick Vaulting! Reasons for superiority of brick over reinforced concrete for thin shells: Less cement Formwork is removed much more quickly Vaults are more lightweight Easier to achieve double curvature with brick! Low stresses in well-designed shells

The Future of Brick Vaulting The things that we build must have something that we could call cosmic economy, that is to be in accord with the profound order of the world. -Eladio Dieste! The need for sustainable structures will require us to combine traditional methods of construction with new technologies.

Only one primary building material comes from a renewable resource, cleans the air and water; utilizes nearly 100% of its resource for products; is the lowest of all in its energy requirements for its manufacturing; creates fewer air and water emissions than any of its alternatives; and is totally reusable, recyclable and 100% biodegradable. And it has been increasing in US net reserves since 1952, with growth exceeding harvest in the US by more than 30%.

American Wood Council Only one primary building material comes from a renewable resource, cleans the air and water; utilizes nearly 100% of its resource for products; is the lowest of all in its energy requirements for its manufacturing; creates fewer air and water emissions than any of its alternatives; and is totally reusable, recyclable and 100% biodegradable: WOOD. And it has been increasing in US net reserves since 1952, with growth exceeding harvest in the US by more than 30%.

Properties of Timber! Cellular structure is very efficient! Handles both compression and tension well! Different strengths with and against the grain! Inhomogeneous material with imperfections

Progress Ideology of Metal! Airplane designers from 1920-1940 neglected wood, though it was superior to metal in many design considerations.! Engineers linked metal with technical progress: wood was anathema to the ideals of precision and power.! Article by Schatzberg, Technology & Culture, January, 1994.

Stiffness (E) per unit weight 30 25 (MN-m/kg) 20 15 10 5 0 Wood Brick Concrete Steel Aluminum Source: Biggs (1991)

Embodied Energy per Stiffness 1800 1600 1400 (kj/mn-m) 1200 1000 800 600 400 200 0 Wood Brick Concrete Steel Source: Biggs (1991)

Embodied Energy per Stiffness 10000 (kj/mn-m) 9000 8000 7000 6000 5000 4000 3000 2000 1000 0 Wood Brick Concrete Steel Aluminum Source: Biggs (1991)

Japanese Pavilion, Hanover, 2000 Image courtesy Nicolas Janberg, http://www.structurae.de/en/photos/img418.php

Expo Pavilion, Hanover, 2000 Image courtesy Nicolas Janberg, http://www.structurae.de/en/photos/img696.php

Conclusions! Wood is a highly engineered, sustainable material Underused: many possibilities for wood as a structural material! Stiffness (modulus of elasticity) measures the deformation in relation to an applied load! Bending moments for simply-supported beams can be derived from the hanging cable for the given loading

Material Properties Stiffness MN/m2 Density kg/m3 Energy kj/kg Energy/stiffness Wood 11000 500 1170 53 22 Brick 30000 1800 2800 168 17 Concrete 27000 2400 8300 738 11 Steel 210000 7800 43000 1597 27 Al 70000 2700 238000 9180 26

Material Properties Stiffness ksi Density lb/ft3 Wood Brick Concrete Steel Al 11000 3100 3000 29000 10000 30 130 150 490 170