# 缺陷计算按照欧洲钢结构规范 EN 1993-1-1：初始曲率

### 技术文章

001486 2017年10月17日

#### 承重结构计算

$\begin{array}{l}\overline{\mathrm\lambda}\;>\;0.5\;\cdot\;\sqrt{\frac{\mathrm A\;\cdot\;{\mathrm f}_\mathrm y}{{\mathrm N}_\mathrm{Ed}}}\\\mathrm{with}\\\overline{\mathrm\lambda}\;=\;\sqrt{\frac{{\mathrm N}_\mathrm{pl}}{{\mathrm N}_\mathrm{cr}}}\;=\;\mathrm{Slenderness}\;\mathrm{of}\;\mathrm{the}\;\mathrm{member}\;\mathrm{in}\;\mathrm{the}\;\mathrm{considered}\;\mathrm{plane},\\\mathrm{which}\;\mathrm{is}\;\mathrm{determined}\;\mathrm{on}\;\mathrm{the}\;\mathrm{supposition}\;\mathrm{of}\;\mathrm a\;\mathrm{hinged}\;\mathrm{support}\;\mathrm{at}\;\mathrm{both}\;\mathrm{ends},\\\mathrm{and}\\\;N_\mathrm{cr}\;=\;\frac{\mathrm\pi²\;\cdot\;\mathrm E\;\cdot\;\mathrm I}{{\mathrm s}_\mathrm k²}\\\mathrm{results}\;\mathrm{in}\;\mathrm{the}\;\mathrm w\mathrm e\mathrm l\mathrm l-\mathrm k\mathrm n\mathrm o\mathrm w\mathrm n\;\mathrm{determination}\;\mathrm{by}\;\mathrm{using}\\\mathrm{the}\;\mathrm{member}\;\mathrm{coefficient}\;\mathrm{from}\;\mathrm{DIN}\;18800:\\\;s_\mathrm k\;\cdot\;\sqrt{\frac{{\mathrm N}_\mathrm{Ed}}{\mathrm E\;\cdot\;\mathrm I}}\;=\;\mathrm\varepsilon\;>\;0.5\;\cdot\;\mathrm\pi\;\approx\;1.6\end{array}$

#### 构件缺陷

DIN EN 1993‑1‑1:2010‑12,

a0 1/350 1/300
a 1/300 1/250
b 1/250 1/200
c 1/200 1/150
d 1/150 1/100

DIN EN 1993‑1‑1:2010‑12,

a0 1/600 As for
elastic,
but
Mpl/Mel-fold
a 1/550
b 1/350
c 1/250
d 1/150

e0,d/L

e0,d/L

I-型钢截面
h/b ≤ 2,0 1/500 1/400
h/b > 2,0 1/400 1/300

I-型钢截面
h/b ≤ 2,0 1/400 1/300
h/b > 2,0 1/300 1/200

#### 参考书目

 [1] Eurocode 3: Design of steel structures - Part 1-1: General rules and rules for buildings; EN 1993‑1‑1:2010‑12 [2] National Annex - Nationally determined parameters - Eurocode 3: Design of steel structures - Part 1‑1: General rules and rules for buildings; DIN EN 1993‑1‑1/NA:2015‑08 [3] Training Manual EC3. (2017). Leipzig: Dlubal Software.

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