(Solution Download) a) Select the material for the frame of the ultimate bicycle - meaning the lightest possible for a..


a) Select the material for the frame of the ultimate bicycle - meaning the lightest possible for a given stiffness. You may assume that the tubes of which the frame is made are cantilever beams (of length 1) and that the elastic bending displacement delta of one end of a tubular beam under a force F (the other end being rigidly clamped) is: (refer to your textbook) 2r is the diameter of the tube (fixed by the designer) and t is the wall thickness of the tube, which you may vary. t is much less than r. Find the combination of material properties which determine the mass of the tube for a given stiffness, and hence make your material selection using data given in Chapters 3 and 5. Try steel, aluminium alloy, wood, GFRP and CFRP. Which of the following materials leads to the cheapest bicycle frame, for a given stiffness: mild steel, aluminium alloy, titanium alloy, GFRP, CFRP or hard wood?

 







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