[力] 弯矩；[力] 弯曲力矩；[力] 挠矩
Fulcrum of System Yields to a Bending Moment, Thus Spring Effect.
系统内的一个支点产生一个弯矩效果，等效于弹簧效果。
The effect of PPR on the redistribution of bending moment was discussed.
讨论了部分预应力比PPR对连续梁内力重分布的影响；
With the increase of bending moment, the stress of femur increases evidently.
随着弯矩的增加股骨的应力有明显增加。
The all-bending moment equation for dual continuous beam is derived on this basis.
并在此基础上，导出计算曲轴的双连续梁全弯矩方程。
If the stress produced by the additional bending moment is too large, the bolt will break.
如果附加弯矩产生的应力过大，螺栓便会断裂。
|flexural moment;弯矩；弯曲力矩；[力]挠矩
“Bending moment”（弯矩）是工程力学和材料力学中的核心概念，指物体因外部载荷作用而发生弯曲变形时，其内部某一截面上产生的抵抗弯曲的力矩。以下是详细解释：
弯矩描述的是力对物体某一点产生的旋转效应。例如，当梁受到横向力（如重力或压力）时，其内部会产生与外力平衡的力矩，防止结构断裂。弯矩的符号通常以正弯矩（使梁向下凸）和负弯矩（使梁向上凸）区分。
弯矩的计算公式为：
$$ M = F times d $$
假设一根简支梁两端支撑，中心受垂直力 ( F ) 作用，则中心截面的弯矩最大，计算公式为：
$$ M_{text{max}} = frac{F times L}{4} $$
其中 ( L ) 为梁的跨度。此时梁会向下弯曲，中心处产生最大正弯矩。
通过理解弯矩，工程师能更准确地预测材料变形和失效风险，从而设计出安全可靠的结构。
Bending moment (弯矩) is a term used in engineering to describe the amount of bending that a beam or other structural element experiences when subjected to external forces. It is a measure of the internal forces that are generated within the element as a result of the applied external forces.
The bending moment is typically expressed in units of Newton-meters (N-m) or pound-feet (lb-ft), and is calculated by multiplying the external force by the distance from the point of application to the point where the internal forces are being measured. Bending moment is an important factor in the design of many types of structures, including bridges, buildings, and aircraft.
There are several other terms that are related to bending moment, including flexural stress, shear stress, and torsional stress. Flexural stress (折弯应力) is the stress that is generated within a beam or other structural element as a result of bending, while shear stress (剪切应力) is the stress that is generated within the element as a result of forces that are applied perpendicular to its longitudinal axis. Torsional stress (扭转应力) is the stress that is generated within an element as a result of twisting forces.
In summary, bending moment is a fundamental concept in structural engineering that describes the internal forces that are generated within a beam or other structural element as a result of external forces. It is an important factor in the design of many types of structures, and can be calculated using a variety of mathematical techniques.
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