Exercise23.7 A column of hollow rectangular cross-section and made of steel plates is shown in Fig. 23.13. The thickness of the section is 2.5 mm throughout. The plate material is steel 30C8 (S 400 N/mm and E= 207 000 N/mm). The end fixity coefficients can be taken as 1.5 and 1 for bending about long and short axes respectively. The effective length of the column is 1 m. Determine the load capacity of the column from buckling consideration. 2.51 20 30

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The plate has a thickness of 20 mm and the force P = 5 kN acts along the centerline of this thickness such that d = 150 mm. (Figure 1) Figure d‡ 200 mm a 1 of 1

The cantilever beam shown is an aluminum pipe that has an outside diameter of 114 mm and an inside diameter of 97.3 mm. A moment of 3 kN-m is applied at the free end. Find the rotation at the free end of the pipe. Neglect the weight of the pipe. М 33KN.m 2m Mod. of Mod. of Coeff, of Elasticity Rigidity G Thermal Ultimate Strength Density kg /m3 x 10 Tensile Yield Strength F, MPa Expansion a m/m/C x 10-6 Poisson's MPa MPa MPa Ratio Material x 10 x 10 Tens. Comp. Shear Steel ASTM A36 or A501 7.85 207 83 250 400 11.7 0.25 Steel (high-strength low-alloy) ASTM A992 7.85 207 83 345 450 11.7 0.25 Steel AISI 1020 hot-rolled 7.85 207 79.3 210 380 11.7 0.25 Steel AISI 1040 hot-rolled 7.85 207 79.3 290 520 11.7 0.25 Stainless steel 7.85 200 80 280 580 410 11.7 0.25 (annealed) Cast iron (gray) 7.21 103 41 140 550 220 10.6 0.26 Aluminum allov 2.64 70 28 240 260 190 23.6 0.33 6061-T6 Magnesium alloy 1.794 45 17 210 280 140 26.1 0.34 Titanium alloy 4.40 114 45 900 970 690 9.7 Nominal Outside Inside…