This question considers a pin-pin, non-sway column made of UKB 203 x 133 x 30 (S275)....

 

   

Transcribed Image Text:

This question considers a pin-pin, non-sway column made of UKB 203 x 133 x 30 (S275). a) Plot two buckling curves (for buckling about the major and minor axes) using equation (6.49) in EC3, 1-1. Students should select an appropriate range of non-dimensional slenderness (by varying the column height) that can clearly show the yielding and elastic buckling regions of the buckling curve. b) Based on the generated curves in part a, estimate the column height below which the column is considered as a short column. ЕС3, 1-1, CL, 6.3.1.2: BUCKLING CURVES 6.3.1.2 Buckling curves (1) For axial compression in members the value of x for the appropriate non-dimensional slenderness 2 should be determined from the relevant buckling curve according to: (6.49) but xs1,0 D+ vo? - How to calculate non-dimensional slenderness and imperfection factor? where = 0,51+ ai -0.2)+7 Ф Af, for Class 1, 2 and 3 cross-sections %3D Ae N for Class 4 cross-sections is an imperfection factor Table 6.2 is the elastic critical force for the relevant buckling mode based on the gross cross sectional No properties. Table 6.2 Selection of flexural buckling curve for a cross-section Buckling curve Buckling about axis S 235 S 275 S 355 Cross section Limits S460 S420 Y-y a ao tr<40 mm Z-z ao Y-y by a 40 strs 100 mm Z-z a y y-V a tys 100 mm Z-z a. V-V d. te > 100 mm 2-z y-y b. a te S 40 mm Z-z y y-y tr > 40 mm Z-Z hot-finished any ao cold-formed any tr generally applicable except any b. b. as below thick welds: a>0.5 t b/te < 30 b/tw < 30 any Welded box Hollow sections Welded sections Rolled sections sections h/bs1.2 h/b> 1.2 This question considers a pin-pin, non-sway column made of UKB 203 x 133 x 30 (S275). a) Plot two buckling curves (for buckling about the major and minor axes) using equation (6.49) in EC3, 1-1. Students should select an appropriate range of non-dimensional slenderness (by varying the column height) that can clearly show the yielding and elastic buckling regions of the buckling curve. b) Based on the generated curves in part a, estimate the column height below which the column is considered as a short column. ЕС3, 1-1, CL, 6.3.1.2: BUCKLING CURVES 6.3.1.2 Buckling curves (1) For axial compression in members the value of x for the appropriate non-dimensional slenderness 2 should be determined from the relevant buckling curve according to: (6.49) but xs1,0 D+ vo? - How to calculate non-dimensional slenderness and imperfection factor? where = 0,51+ ai -0.2)+7 Ф Af, for Class 1, 2 and 3 cross-sections %3D Ae N for Class 4 cross-sections is an imperfection factor Table 6.2 is the elastic critical force for the relevant buckling mode based on the gross cross sectional No properties. Table 6.2 Selection of flexural buckling curve for a cross-section Buckling curve Buckling about axis S 235 S 275 S 355 Cross section Limits S460 S420 Y-y a ao tr<40 mm Z-z ao Y-y by a 40 strs 100 mm Z-z a y y-V a tys 100 mm Z-z a. V-V d. te > 100 mm 2-z y-y b. a te S 40 mm Z-z y y-y tr > 40 mm Z-Z hot-finished any ao cold-formed any tr generally applicable except any b. b. as below thick welds: a>0.5 t b/te < 30 b/tw < 30 any Welded box Hollow sections Welded sections Rolled sections sections h/bs1.2 h/b> 1.2