Compression Member Practice Questions

A steel column is restrained against both translation and rotation at one end and is restrained only against rotation but free to translate at the other end. Theoretical and design (IS:800-2007) values, respectively, of effective length factor of the column are

The critical bending compressive stress in the extreme fibre of a structural steel section is 1000 MPa. It is given that the yield strength of the steel is 250 MPa, width of flange is 250 mm and thickness of flange is 15 mm. As per the provisions of IS:8002007, the non-dimensional slenderness ratio of the steel cross-section is

Consider the following statements for a compression member: I. The elastic critical stress in compression increases with decrease in slenderness ratio II. The effective length depends on the boundary conditions at its ends. III. The elastic critical stress in compression is independent of the slenderness ratio. IV. The ratio of the effective length to its radius of gyration is called as slenderness ratio The TRUE statements are

The square root of the ratio of moment of inertia of the cross-section to its cross-sectional area is called

Consider the following statements : I. Effective length of a battened column in usually increased to account for the additional load on battens due to the lateral expansion of columns. II. As per IS:800-1984, permissible stress in bending compression depends on both Euler buckling stress and the yield stress of steel. III. As per IS:800-1984, the effective length of a column effectively held in position at both ends but not restrained against rotation, is taken to be greater than that in the ideal end conditions. The TRUE statements are

A strut in a steel truss is composed of two equal angle ISA $150mm\times 150mm$ of thickness 100 mm connected back-to-back to the same side of a gusset plate. The cross sectional area of each angle is 2921 m $m^{2}$ and moment of inertia ( $I_{xx}=I_{yy}$ ) is 6335000 m $m^{4}$ . The distance of the centroid of the angle from its surface ( $C_{x}=C_{y}$ ) is 40.8 mm. The minimum radius of gyration of the strut is

In the design of lacing system for a built-up steel column, the maximum allowable slenderness ratio of a lacing bar is

Consider the following two statements related to structural steel design, and identify whether they are TRUE or FALSE: I. The Euler buckling load of a slender steel column depends on the yield strength of steel. II. In the design of laced column, the maximum spacing of the lacing does not depend on the slenderness of column as a whole.