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Added on: 0000-00-00 00:00:00Order Code: Question Task Id: 0
MAS7586
Civil Engineering
Question 1
The singly symmetric column shown in Fig. 2a is loaded by a concentric compression force (P). The cross-section dimensions are also shown in Fig. 2a. The column can be assumed to be simply supported against flexure and torsion at both ends, i.e. u = u = v = v = = 0 at the ends. The column length is 6 m and the material yield stress is 300 MPa. The geometric parameters may be calculated by using THIN-WALL.
a) Determine the critical elastic buckling load of the column.
b) Determine the ultimate strength of the column according to AS/NZS4600.
c) Assume now that the bottom tip of the web is connected to sheeting along the full length of the column and that the sheeting provides an elastic lateral restraint to the bottom tip of the web, as shown in Fig. 2b. The spring constant per unit length of the column is denoted by k. The distance from the shear center (S) to the bottom tip of the web is denoted by d. Determine the displacement of the bottom tip of the web in terms of the generalised buckling displacements
d) Explain how you would modify the energy equation for this buckling problem to include the effect of the sheeting, (see Eqn. (225) of the lecture notes on flexural-torsional buckling).
e) Draw sketches of the column cross-section at mid-span showing the flexural and flexural-torsional buckling modes you would expect and suggest at least one longitudinal displacement field (ub, vb, ?b) for the buckling modes. Draw separate sketches for small and large values of k in illustrating the buckling modes. Give reasons for your answer.
Uploaded By : celina
Posted on : April 09th, 2018
Downloads : 14
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