Question

Question 18.12

LØ150 OD * 120 ID Fig. P18.10 (a) end of the member at which the load is applied om lateral movement as shown in Figure 11 Repeat problem 18.10 if the end of the men is restrained all round from lateral" P18.10(b), all other conditions being the san (a) 230 MPa (b) 488 KN 12A structural steel compression member ass rectangular section 100 X 40 mm. It is pinned restrained at the position shown against bucki Determine: (a) the plane about which buckling is most likely to n member as shown in Figure P18.12 is of 40 mm. It is pinned at both ends and laterally in against buckling on the y axis plane. s which can safely be applied to the member using a safety factor of 3. The steel has a yield point stress of 250 MPa. (a) x axis (b) 34.3 MPa 1200 1600 IUL HA A 100 Section A-A Fig. P18.12 A 2Chahat at the limitinalendernemerotic1hat is when the Johnson a

Answer 1

(a) ckling is most ecayore the The plane about which buckling likely to occur is Txx Becauore. byckling always occur at least momen of grea direction and here Itt lepo moment of area compare to Iyy. : Bychling occur on X atis blare. Txx bd3 han Ixx nd Here Tyy= db3 - 100x403 = 40x100 Txx - 533333.33 mmt = 3333333.33 mm effective length le= e = 1200+1600 = 1400mm (becoyon both end fixed) combreonine lood P = & E Exx F = 250 MB y 2 x 250 x 16 x 100x40 ? 1400X106 - 223.8 N compreenine sipength = Pc = 22308 40810oxio = 55950 N/m² = 55.95 kN/m²