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A furniture designer wants to design and fabricate a simple lightweight table comprising a flat sheet of toughened glass supported on slender, unbraced, cylindrical legs (Figure below). The legs must be solid (to make them thin) and as light as possible (to make the table easier to move). They must support the table top and whatever is placed upon it without buckling. What materials could you recommend? The design requirements are shown in the Table below. Function Column (supporting compressive loads) Objective Minimize the mass, Maximize slenderness 10 Constraints 1)Length 1 specified ii) Must not buckle under design loads iii) Must not fracture if accidentally struck Design requirements for table legs A (Some information is available in Appendix 1)
Buckling of columns and plates FCRIT PET 22 KE 1/2 or FCRIT n?? E (/r) А 1 F = force (N) M = moment (Nm) E = Young's modulus (N/m²) l = length (m) A = section area (m²) I = see Table 2 (m) K 3/2 1/2 (m) r = gyration rad. k = foundation stiffness (N/m2) n = half-wavelengths in buckled shape p' = pressure (N/m) M π?ΕΙ FCRIT = 22 M 4E1 nEI ke? FCRIT = + x2 ЗЕІ Perm