(a) Young's modulus–density chart for engineering materials, including woods. The performance index E1/2/ρ gives the performance of a material for resisting bending deflections: every point on a single line E1/2/ρ has the same value of E1/2/ρ. As the line moves to the upper left, the value of E1/2/ρ increases. Woods loaded along the grain have comparable values to the best engineering materials, fibre composites (adapted from figure from MF Ashby, with permission). (b) Strength–density chart for engineering materials, including woods. The performance index σ2/3/ρ gives the performance of a material for resisting bending stresses: every point on a single line σ2/3/ρ has the same value of σ2/3/ρ . As the line moves to the upper left, the value of σ2/3/ρ increases. Woods loaded along the grain have comparable values to the best engineering materials, fibre composites. Adapted from figure from Ashby, with permission. (Online version in colour.)