buckling stress

简明释义

纵弯曲应力

英英释义

例句

1.The formula for calculating buckling stress 屈曲应力 involves the moment of inertia and the length of the column.

计算屈曲应力 buckling stress的公式涉及惯性矩和柱子的长度。

2.The design must account for buckling stress 屈曲应力 to prevent structural collapse during an earthquake.

设计必须考虑到屈曲应力 buckling stress以防止地震期间结构崩溃。

3.The engineer calculated the buckling stress 屈曲应力 to ensure the stability of the structure under load.

工程师计算了屈曲应力 buckling stress以确保结构在负载下的稳定性。

4.In tall buildings, buckling stress 屈曲应力 can lead to catastrophic failures if not properly managed.

在高层建筑中，如果不妥善管理，屈曲应力 buckling stress可能导致灾难性的失败。

5.Materials with high tensile strength can withstand greater buckling stress 屈曲应力 before failing.

具有高抗拉强度的材料可以在失效前承受更大的屈曲应力 buckling stress。

作文

Buckling is a critical phenomenon that occurs in structural engineering, particularly in slender members like columns and beams. When a compressive force is applied to these structures, they can become unstable and deform laterally, leading to failure. The term buckling stress refers to the maximum stress that a structural element can withstand before it experiences buckling. Understanding buckling stress is essential for engineers to design safe and reliable structures.To grasp the concept of buckling stress, we must first understand the factors that contribute to buckling. The slenderness ratio of a column, which is the ratio of its length to its radius of gyration, plays a significant role. As this ratio increases, the likelihood of buckling becomes greater. This is because longer and thinner columns are more susceptible to lateral deflections under compressive loads. Therefore, calculating the buckling stress involves considering both the material properties and the geometry of the structure.The Euler's formula provides a theoretical basis for determining the critical load at which buckling occurs. According to this formula, the critical load (P_cr) can be expressed as:P_cr = (π^2 * E * I) / (L^2)Where E is the modulus of elasticity, I is the moment of inertia, and L is the effective length of the column. From this equation, we can derive the buckling stress by dividing the critical load by the cross-sectional area of the column. This relationship highlights how the stiffness of the material and the geometric properties of the column influence its resistance to buckling.In practical applications, engineers must ensure that the buckling stress of a column exceeds the actual stresses it will encounter during service. This involves using safety factors and selecting appropriate materials that can handle the expected loads. For example, in high-rise buildings, columns must be designed to support not only their own weight but also additional loads from occupants, furniture, and environmental factors like wind.Moreover, the effects of imperfections in the material and construction process can significantly impact the actual buckling stress. Real-world structures often have slight deviations from ideal shapes, which can lead to unexpected buckling behavior. Therefore, engineers conduct thorough analyses and simulations to predict potential buckling scenarios and design accordingly.In conclusion, the concept of buckling stress is fundamental in structural engineering. It represents the threshold at which a structural member transitions from stable to unstable under compressive loads. By understanding the factors that influence buckling stress, such as slenderness ratio, material properties, and geometric considerations, engineers can create safer and more efficient designs. Ultimately, recognizing the importance of buckling stress in the design process contributes to the overall integrity and longevity of structures, ensuring they can withstand various forces throughout their lifespan.

屈曲是结构工程中的一个关键现象，尤其在像柱子和梁这样的细长构件中。当施加压缩力时，这些结构可能会变得不稳定并发生横向变形，从而导致失效。术语buckling stress指的是结构元素在经历屈曲之前能够承受的最大应力。理解buckling stress对工程师设计安全可靠的结构至关重要。要掌握buckling stress的概念，我们必须首先了解导致屈曲的因素。柱子的细长比，即其长度与回转半径的比率，起着重要作用。随着这一比率的增加，屈曲的可能性也随之增加。这是因为较长和较薄的柱子在压缩载荷下更容易发生横向偏移。因此，计算buckling stress涉及考虑材料特性和结构几何形状。欧拉公式为确定屈曲发生时的临界载荷提供了理论基础。根据该公式，临界载荷（P_cr）可以表示为：P_cr = (π^2 * E * I) / (L^2)其中E是弹性模量，I是惯性矩，L是柱子的有效长度。从这个方程中，我们可以通过将临界载荷除以柱子的横截面积来推导出buckling stress。这一关系突出了材料的刚度和柱子的几何特性如何影响其抵抗屈曲的能力。在实际应用中，工程师必须确保柱子的buckling stress超过其在服役期间所遇到的实际应力。这涉及使用安全系数和选择能够承受预期载荷的合适材料。例如，在高层建筑中，柱子必须设计成不仅能支撑自身重量，还能承受来自居住者、家具以及风等环境因素的额外载荷。此外，材料和施工过程中的缺陷对实际的buckling stress可能产生重大影响。现实世界中的结构往往存在轻微的形状偏差，这可能导致意想不到的屈曲行为。因此，工程师进行全面的分析和模拟，以预测潜在的屈曲场景并相应地进行设计。总之，buckling stress的概念在结构工程中是基础性的。它代表了结构构件在承受压缩载荷时从稳定状态转变为不稳定状态的阈值。通过理解影响buckling stress的因素，如细长比、材料特性和几何考虑，工程师可以创造出更安全、更高效的设计。最终，认识到buckling stress在设计过程中的重要性有助于结构的整体完整性和耐久性，确保它们在整个生命周期内能够承受各种力量。