[力] 彎矩；[力] 彎曲力矩；[力] 撓矩
Fulcrum of System Yields to a Bending Moment, Thus Spring Effect.
系統内的一個支點産生一個彎矩效果，等效于彈簧效果。
The effect of PPR on the redistribution of bending moment was discussed.
讨論了部分預應力比PPR對連續梁内力重分布的影響；
With the increase of bending moment, the stress of femur increases evidently.
隨着彎矩的增加股骨的應力有明顯增加。
The all-bending moment equation for dual continuous beam is derived on this basis.
并在此基礎上，導出計算曲軸的雙連續梁全彎矩方程。
If the stress produced by the additional bending moment is too large, the bolt will break.
如果附加彎矩産生的應力過大，螺栓便會斷裂。
|flexural moment;彎矩；彎曲力矩；[力]撓矩
“Bending moment”（彎矩）是工程力學和材料力學中的核心概念，指物體因外部載荷作用而發生彎曲變形時，其内部某一截面上産生的抵抗彎曲的力矩。以下是詳細解釋：
彎矩描述的是力對物體某一點産生的旋轉效應。例如，當梁受到橫向力（如重力或壓力）時，其内部會産生與外力平衡的力矩，防止結構斷裂。彎矩的符號通常以正彎矩（使梁向下凸）和負彎矩（使梁向上凸）區分。
彎矩的計算公式為：
$$ M = F times d $$
假設一根簡支梁兩端支撐，中心受垂直力 ( F ) 作用，則中心截面的彎矩最大，計算公式為：
$$ M_{text{max}} = frac{F times L}{4} $$
其中 ( L ) 為梁的跨度。此時梁會向下彎曲，中心處産生最大正彎矩。
通過理解彎矩，工程師能更準确地預測材料變形和失效風險，從而設計出安全可靠的結構。
Bending moment (彎矩) 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 (折彎應力) is the stress that is generated within a beam or other structural element as a result of bending, while shear stress (剪切應力) is the stress that is generated within the element as a result of forces that are applied perpendicular to its longitudinal axis. Torsional stress (扭轉應力) 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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