Slenderness Ratio

Slenderness ratio is the ratio of the effective length of a column (Le) and the least radius of gyration (r) about the axis under consideration. It is given by the symbol “λ” (lambda).

slenderness ratio formula

Effective slenderness ratio of the section about the minor axis of cross-section = Le/ry.
Effective slenderness ratio of the section about the major axis of cross section = Le/rx.

Significance:
As slenderness ratio increases, permissible stress or critical stress reduces. Consequently, load carrying capacity also reduces.

  • Radius of gyration will be least along major axis of cross section.
    Example: For a rectangular column along yy-axis.
  • For a given area, Tubular section will have maximum radius of gyration.
  • H-Section is more efficient than I-Section.
    section
    Iy = Imin  (Column buckles about y-axis)
Spread the Knowledge
https://mechanicalengineering.blog/about/

'ME Mechanical' is an online portal for mechanical engineers and engineering students. Published hundreds of articles on various engineering topics. Visit our about section to know more.

All Comments

  • Good day, am an automobile technician, please update me if there is any automobile training or job am interested.

    Ekew Sunday Feb 4, 2016 4:52 pm Reply

Leave a Reply

Your email address will not be published. Required fields are marked *

This site uses Akismet to reduce spam. Learn how your comment data is processed.