3.11 General buckling width-to-thickness ratio For a flat plate with simply supported edge constraints (k) a) Write an expression for byt ratio such that and e, will be equal b) For mild steel -207 N/mm, what is the numerical byt ratio at which a c) Repeat part b for an aluminum alloy where a-345 N/mm' and E-69000 N 3.12 General buckling coefficient a) For a flat plate of dimerisions a and b, show that when the normal deflections, are given by: -A ainsin that the edge constraints are Mrs and My-0 (that is, simply supported). Keler to Equation (3.21) b) Show that when w is given as above, the plate equation (Tiquation 3.21) yields Dx where the terms are defined at Equation 3.23 c) Plot vs. (4) for a-1, -1,2,3 and for n-2, m 1,2,3. Also show that the bracket term has a lower limit of 4 for these n and m values 3.16 Effective width Using hand calculations determine the following just buckle? a) At what bending moment, Mo will the top cap b) What is the effective width of the top cap when 1.1 1.5 and 20 100 mm -0.86mm 130m c) What is the effective moment of inertia Ixx when 0,200 Exercise 3.16 d) What is the applied moment when the maximum stress in the top cap is 0,- 20