The principle of Saint-Venant postulates that the stress distribution within a structural member does not rely on the precise method of load application except in the vicinity of the load application points. Consider a scenario where loads are centrally applied on two plates. In this case, the plates move toward each other without any rotation. This movement causes the member to contract in length and expand in width and thickness. Uniform deformation across all elements and maintaining straight members and plane sections facilitate a consistent distribution of strains and stresses.

However, when loads are concentrated, the elements close to the application points endure large stresses, while those positioned further away stay largely unaffected. Yet, deformations tend to equalize in the case of elements distant from the ends, leading to a more even distribution of strain and stress. Interestingly, beyond a distance equivalent to the member's width, the stress distribution becomes detached from the mode of load application, a key aspect of Saint-Venant's principle. While applying this principle, it is important to remember that the actual loading and the loading used to calculate the stresses must be statically equivalent. Furthermore, this principle does not apply to computing stresses near the load application points.

Tags
Saint Venant s PrincipleStress DistributionStructural MemberLoad ApplicationUniform DeformationConcentrated LoadsLarge StressesStrain DistributionStatic EquivalenceLoading CalculationDeformation Equalization

来自章节 18:

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18.18 : Saint-Venant's Principle

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18.1 : 轴向载荷下的法向应变

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18.2 : 应力-应变图

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18.3 : 应力-应变图 - 延展性材料

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18.4 : 应力-应变图 - 脆性材料

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18.5 : 真实应力和真实应变

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18.6 : 胡克定律

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18.7 : 塑性行为

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18.8 : 疲劳

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18.9 : 杆件在多重载荷下的变形

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18.10 : 静态不确定问题解决

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18.11 : 热应变

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18.12 : 温度相关变形

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18.13 : 泊松比

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18.14 : 广义胡克定律

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