Terry Bendall wrote:
And out of interest what are the effects of creatng a box girder from ply and thin strips of solid timber top and botton rather than an I gider?
Our basebords will of course have beams on both sides with either a solid top surface spanning the space between the two, or just the track bed supported on cross beams. What effect does that have on the stiffness of the whole structure?
"Stiffness" for various shapes attached. Ixx relates to vertical load and deflection, Iyy relates to horizontal effects and J relates to the twist. For a given load and span, doubling "I" halves the deflection, doubling J halves the angle of twist, and so on. The huge increase in "J" for the closed box is not an error - they really are very much stiffer in torsion than thin, open cross sections of similar size.
A track bed that is not fixed firmly to the side beams contributes virtually nothing to the vertical or torsional stiffness of the assembly (Ixx and J are very low). If it was 600mm wide rather than 200mm as tabulated, Ixx and J would be increased by a factor of 3 - so the contribution is still negligible. But if a trackbed were fixed to the top edge of the side beams there are two significant benefits - each side beam becomes an inverted "L" beam which increases Ixx, and the horizontal leg will prevent the vertical leg from buckling sideways, allowing thinner sections to be used. (Linn Westcott discovered this half a century ago.) I am fairly sure this is how the laser cut boards manage to get away with main beams just 6mm wide spanning 1200mm or more.
Bob
Section properties 001.pdf
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