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The Perry–Robertson formula is a mathematical formula which is able to produce a good approximation of buckling loads in long slender columns or struts, and is the basis for the buckling formulation adopted in EN 1993. The formula in question can be expressed in the following form: with where: Robertson then proposed that , where represents the beam's slenderness.

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  • The Perry–Robertson formula is a mathematical formula which is able to produce a good approximation of buckling loads in long slender columns or struts, and is the basis for the buckling formulation adopted in EN 1993. The formula in question can be expressed in the following form: with where: * is the average longitudinal stress in the beam's cross section * is the material's elastic limit * is the average tension measured in the cross section which correspond to the beam's Euler load * the amplitude of the initial geometrical imperfection * distance from the cross section's centroid to the section's most stressed fiber * the section's radius of gyration Robertson then proposed that , where represents the beam's slenderness. (en)
  • 佩里羅伯遜公式(Perry-Robertson formula)是一個可以近似細長梁之挫曲負載的數學公式,也是中挫曲公式的基礎。其公式如下: with 其中: * 是梁截面的平均縱向應力 * 是材料的彈性限 * 是在尤拉負載下,梁截面的平均張應力。 * 是初始幾何缺陷的大小。 * 是截面的幾何中心和應力最大纖維之間的距離 * 是截面的迴轉半徑 羅伯遜之後提出,其中為梁的細長比(長度和迴轉半徑之間的比值)。 (zh)
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  • 佩里羅伯遜公式(Perry-Robertson formula)是一個可以近似細長梁之挫曲負載的數學公式,也是中挫曲公式的基礎。其公式如下: with 其中: * 是梁截面的平均縱向應力 * 是材料的彈性限 * 是在尤拉負載下,梁截面的平均張應力。 * 是初始幾何缺陷的大小。 * 是截面的幾何中心和應力最大纖維之間的距離 * 是截面的迴轉半徑 羅伯遜之後提出,其中為梁的細長比(長度和迴轉半徑之間的比值)。 (zh)
  • The Perry–Robertson formula is a mathematical formula which is able to produce a good approximation of buckling loads in long slender columns or struts, and is the basis for the buckling formulation adopted in EN 1993. The formula in question can be expressed in the following form: with where: Robertson then proposed that , where represents the beam's slenderness. (en)
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  • Perry–Robertson formula (en)
  • 佩里羅伯遜公式 (zh)
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