a) Determine the Euler buckling load for a 5m long, pin constrained strut, with a constant wall thickness cross-section
Posted: Mon May 09, 2022 9:47 am
a) Determine the Euler buckling load for a 5m long, pin constrained strut, with a constant wall thickness cross-section profile, as shown in Fig. 2.1. The strut is made from aluminium extrusion with a Young's Modulus of 70GN/m². Confirm that is valid to use the Euler buckling analysis to determine the critical buckling load for this strut. 300 200 300 Figure 2.1 (All dimensions in mm) b) For a rectangular cross-sectional profile cantilever beam, of length L, loaded at its end with load F, as shown in Fig. 2.2, determine an expression for the strain energy, U, due to shear force and bending moment, respectively. Using Castigliano's first theorem, determine a general equation for the defection under the load F. Вк F X L (b) Cantilever beam loading schematic (a) Beam cross section schematic Figure 2.2