limit of proportionality

简明释义

比例极限

英英释义

例句

1.The limit of proportionality is crucial in understanding how materials behave under stress.

理解材料在应力下的行为时，比例极限至关重要。

2.Engineers must consider the limit of proportionality when designing structures to ensure safety.

工程师在设计结构时必须考虑比例极限以确保安全。

3.Once the load exceeds the limit of proportionality, the material may undergo plastic deformation.

一旦负载超过比例极限，材料可能会经历塑性变形。

4.When a material is stretched beyond its limit of proportionality, it will not return to its original shape.

当材料被拉伸超过其比例极限时，它将无法恢复到原来的形状。

5.Testing the limit of proportionality helps determine the maximum stress a material can withstand.

测试比例极限有助于确定材料可以承受的最大应力。

作文

The concept of the limit of proportionality is fundamental in understanding the relationship between force and extension in materials. In physics, particularly in the study of mechanics, the limit of proportionality refers to the maximum extent to which a material can be deformed elastically. Beyond this limit, the material will no longer return to its original shape when the applied force is removed. This principle is crucial for engineers and designers who must consider how materials behave under stress. When we apply a force to an elastic material, such as a rubber band, it stretches proportionally to the force applied. This means that if you double the force, the extension also doubles. However, this behavior only holds true up to a certain point—the limit of proportionality. If we continue to apply force beyond this limit, the material may undergo permanent deformation. For example, if we pull a rubber band too far, it may not return to its original length, demonstrating that it has surpassed its limit of proportionality. Understanding the limit of proportionality is critical in various fields, including construction, manufacturing, and even everyday applications. Engineers must ensure that the materials used in structures can withstand forces without exceeding their limit of proportionality. If a bridge is built with materials that cannot handle the stress of traffic loads, it could lead to catastrophic failures. Similarly, in product design, knowing the limit of proportionality helps designers create items that are durable and safe for consumers. In educational settings, students often conduct experiments to observe the limit of proportionality firsthand. A common experiment involves hanging weights from a spring and measuring the extension of the spring as more weight is added. Students learn to identify the point at which the spring no longer follows Hooke's Law, marking the limit of proportionality. This hands-on experience reinforces theoretical knowledge and highlights the importance of this concept in real-world applications. The implications of exceeding the limit of proportionality extend beyond physical materials; they can also relate to psychological and social contexts. For instance, there is a limit of proportionality in how much stress or pressure individuals can handle before experiencing breakdowns or burnout. Understanding these limits can help in creating supportive environments in workplaces and schools. In conclusion, the limit of proportionality is a vital concept in both physics and engineering, representing the threshold beyond which materials cannot revert to their original form. Its significance is evident in various applications, from building safe structures to designing reliable products. Moreover, recognizing the limit of proportionality in human capacities can lead to healthier and more productive environments. By understanding and respecting these limits, we can better navigate the challenges presented by both materials and human factors in our lives.

“比例极限”这一概念在理解材料中力与延伸之间的关系时至关重要。在物理学中，尤其是在力学研究中，“比例极限”指的是材料在弹性变形时可以被变形的最大程度。超过这个极限，材料在施加的力去除后将不再恢复到其原始形状。这个原则对于工程师和设计师来说至关重要，他们必须考虑材料在应力下的表现。当我们对一种弹性材料施加力时，例如橡皮筋，它会根据施加的力成比例地伸长。这意味着如果你将力加倍，延伸也会加倍。然而，这种行为仅在某一点之前成立——即“比例极限”。如果我们继续施加超过此极限的力，材料可能会发生永久性变形。例如，如果我们把橡皮筋拉得太远，它可能不会返回到原来的长度，表明它已经超过了其“比例极限”。理解“比例极限”在建筑、制造业甚至日常应用中都是至关重要的。工程师必须确保用于结构的材料能够承受力量而不超过其“比例极限”。如果一座桥的建材无法承受交通负荷的压力，可能会导致灾难性的失败。同样，在产品设计中，了解“比例极限”有助于设计出耐用且安全的商品。在教育环境中，学生们通常通过实验亲自观察“比例极限”。一个常见的实验是将重物悬挂在弹簧上，并测量随着添加更多重量而产生的弹簧延伸。学生们学习识别弹簧不再遵循胡克定律的点，标志着“比例极限”。这种动手经验加强了理论知识，并突显了这一概念在现实应用中的重要性。超过“比例极限”的影响不仅限于物理材料；它们还可以与心理和社会环境相关。例如，个人能够承受的压力或压力也存在一个“比例极限”，超过这个极限可能会经历崩溃或倦怠。理解这些极限有助于在工作场所和学校创造支持性的环境。总之，“比例极限”是物理学和工程学中的一个重要概念，代表了材料无法恢复到其原始形态的阈值。其重要性在各种应用中显而易见，从建立安全结构到设计可靠产品。此外，认识到人类能力的“比例极限”可以导致更健康和更高效的环境。通过理解和尊重这些极限，我们可以更好地应对生活中材料和人类因素带来的挑战。