According to the current steel structure code, the slenderness ratio calculation has two purposes.

First, see if it exceeds the limit of allowable slenderness ratio. This purpose is not to consider the brand (or yield strength) of steel.

The second, of course, is to calculate the stability of compression members. Finding the stability coefficient in the specification is the regularized slenderness ratio λ, or it is called generalized slenderness ratio, which is denoted as λ n = λ/π sqrt (e/fy).

The ultimate slenderness ratio of elastic buckling and inelastic buckling is 4.7 1sqrt(E/Fy). If the slenderness ratio λ is less than this value, plastic zone will appear when the column is buckling.

The stable stress is Fy*0.658 Fy/Fe, otherwise it is elastic buckling, and the stable stress is 0.877Fe, where Fe = π 2e/λ 2 indicates that this value is Euler load. For example, Fy=345MPa, then the ultimate slenderness ratio is 1 15. Therefore, the stability coefficient of a column has a certain relationship with its strength, that is, whether elastic buckling or inelastic buckling occurs. ?

Extended data:

It represents the plane irreducible algebraic curve with some form of holomorphic parameters.

That is, for the irreducible algebraic curve C in PC 2, we find a compact Riemannian surface C* and a holomorphic mapping σ: c *→ PC 2, so that σ (c *) = C

Strictly defined:

Let C be an irreducible plane algebraic curve and S be a set of singularities of C. If there is a compact Riemannian surface C* and a holomorphic mapping σ: c *→ PC 2, then

(1) σ (c *) = c (2) σ (-1) (s) is a finite point set (3) σ: c * \ σ (- 1) (s) → c \ s is a one-to-one mapping.

Then (C*, σ) is called the regularization of C. When there is no confusion, C* can also be called the regularization of C.

Regularization is actually to separate curves with different tangents at the singularity of irreducible plane algebraic curves, thus eliminating this singularity.

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