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Nanyang Technological UniversitySource: Roberto Leon, Department of Civil and Environmental Engineering, Virginia Tech, Blacksburg, VA
Wood is a ubiquitous material that has been used in construction from the earliest times. Wood is a renewable, sustainable material with great aesthetic value. Today, there are probably more buildings constructed with wood than any other structural material. Many of these buildings are singlefamily residences, but many larger apartment buildings, as well as commercial and industrial buildings, also use wood framing.
The widespread use of wood in construction has appeal from both an economic and aesthetic basis. The ability to construct wood buildings with a minimal amount of equipment has kept the cost of woodframe buildings competitive with other types of construction. On the other hand, where architectural considerations are important, the beauty and warmth of exposed wood is difficult to match with other materials.
The objectives of this experiment are to conduct tensile and compressive tests on three types of wood to investigate their stress-strain behavior, and to conduct a four-point bending test on a wood beam to ascertain its flexural performance. In a four-point bending test, a simply-supported beam is loaded with two equal point loads at its third points, resulting in a central portion with constant moment and zero shear. This is an important test because wood structural elements are often used in floor systems and are thus primarily loaded by bending stresses.
Wood is composed of elongated, round, or rectangular tube-like cells. These cells are much longer (2-4 mm) than they are wide (20-40 μm), with the length of the cells often related to the length of the tree. Cell walls are made of cellulose (a polymer), with polymeric chains aligned in distinct directions in each of the layers that form the cell wall. The middle wall, with its chains aligned along the longer dimension of the cell, provides most of the strength to the cell, while the inner and outer wall's diagonal chains provide stability. The cell wall structure is semi-crystalline, with crystalline structures of 30-60 μm length followed by short amorphous sections. The chains and the cells are bound together by a material known as lignin. Each cell is relatively weak, but the bundling effect of many cells together provided by the lignin results in a very strong and useful construction material. A good analogy for this is the resistance of a single drinking straw versus that of many straws glued or bound together.
The sheer fact that wood is a biological material makes it very susceptible to environmental decay and attack by pests if it is exposed to the elements. Thus, much of the wood used today is pretreated with chemicals to protect it from the environment and insect attack. That wood is a biological material also means that there is a large variation in the engineering properties between wood pieces, even within the same tree species. A large number of imperfections will inevitably be present, making wood an inhomogeneous material. These defects are the result of knots, where a portion of a branch or limb has been incorporated into the main body of the tree. Consequently, large factors of safety, or ratios of design strength to actual ultimate strength, are used in wood design. Typical values for factors of safety in wood are 2.5 for members in bending, and design codes are calibrated such that 99% of the members will have at least a 1.25 factor of safety.
The cellular makeup of wood makes it an orthotropic material. Thus, the properties will be different if the material is loaded parallel or perpendicular to the long side of cells. This property means that the usual theory of elasticity cannot be used directly as the material is not isotropic (same properties in all three directions) but orthotropic (distinct properties in two directions: longitudinal and transverse to the longer cell direction). The cellular makeup also means that the moisture content of the wood is a key parameter in determining its strength. Both of these factors would be too complex for use in everyday design, so the design of wood for structural purposes is based on linear theory and allowable stresses determined by the following approach:
It is important to note that large volumetric changes are associated with reductions in moisture content. The shrinkage that results from drying is also not uniform. For example, for Douglas fir, the radial shrinkage is 4.8%, the tangential shrinkage is 7.6%, and the volumetric shrinkage is 12.4%. As wood is a polymeric material, it is also prone to creep, or to continuous viscous-like deformation under constant load. As a result, wood can generally support much higher stresses if the duration of loading is short. A load duration factor is used to account for this behavior. If the load durations are short, such as 10 minutes or less for the case of earthquake loads and large wind storms, the design values can be multiplied by 1.6 because the load duration is short enough that no appreciable creep can occur.
Other correction factors commonly used are the size factor, the repetitive member factor, and the form factor. The size factor accounts for the fact that most wood data is generated from shallow beam tests, less than 12 in. in depth, and it is well-known that the average strength decreases as the size of the member increases due to the presence of defects (the so-called size effect). The repetitive factor is used to account for the fact that wood members are often used in close proximity to one another and are tied together by floor diaphragms and collectors, so the weakness or failure of an individual member does not lead to a disproportionate collapse (i.e., failures will be localized). Finally, the aspect ratio (depth/thickness) of a member also affects test results. All of these correction factors are basically empirical, but justified based on statistics of laboratory tests results and performance experience in the field.
The orthotropic properties of wood can be ameliorated by creating laminates, such as plywood, where layers with fibers aligned in perpendicular directions result in an isotropic material. In a similar manner, members made of thin strips of fibers aligned in the same direction and glued under pressure, or glue laminated (glulam), derive their strength from distributing defects.
Compression Test
Tension Test
Bending Test
Figure 1: Four-point bending apparatus.
Figure 2: Wood beam flexural failure.
The compression, tension, and bending test results are summarized in Table 1. As shown consistently by all results, oak is the strongest wood, followed by spruce and southern pine.
Table 1: Wood testing summary
Compression Parallel (psi) | Compression Perpendicular (psi) | Tension Parallel (psi) | Tension Perpendicular (psi) | Bending (psi) | |
Oak | 7382 | 2045 | 4780 | 547 | 8902 |
Spruce | 6342 | 1534 | 3451 | 412 | 7834 |
Southern pine | 5437 | 1254 | 2756 | 327 | 7423 |
Table 2: Normalized data
Compression Parallel (psi) | Compression Perpendicular (psi) | Tension Parallel (psi) | Tension Perpendicular (psi) | Bending (psi) | |
Oak | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 |
Spruce | 0.86 | 0.75 | 0.72 | 0.75 | 0.88 |
Southern pine | 0.74 | 0.61 | 0.58 | 0.60 | 0.83 |
Table 2 presents the same data as in Table 1 but normalized to the strength of the oak material. For the two most important properties, bending strength and compression parallel to the grain, the spruce seems to be roughly about 87% and the southern pine roughly 78% as strong as the oak. Given the very large price differential between woods, it would appear that southern pine, as the cheapest of them, is a very efficient choice.
Wood is a sustainable, natural material that exhibits orthotropic properties. In other labs, materials such as metals, polymers, and concrete have been tested in tension or compression with the assumption that the material acts isotropically, meaning that its resistance to a particular load is the same regardless of the orientation of the material. Steel, for example, has a myriad of randomly oriented grains at the micro scale, giving it homogenous and isotropic properties at the macro scale. However, wood, with its easily identifiable grain direction, does not act isotropically. Thus, a designer must carefully consider the anticipated loadings on a wood member or structure to ensure maximum effectiveness of the material. Additionally, due to its natural origin, wood has mechanical properties tied to the individual species of tree, the moisture content, and the size of the test specimen.
Until recently, wood structures were limited to three or four stories in an apartment or small office building. Developments of cross-laminated timber, wood panels consisting of layers oriented at right angles to one another and then glued, have resulted in the development of structural systems capable of reaching 8 or more stories. Much taller buildings, in the order of 20 stories, are still under development.
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