The bending stiffness is the resistance of a member against bending deformation. It is a function of the Young's modulus , the second moment of area of the beam cross-section about the axis of interest, length of the beam and beam boundary condition. Bending stiffness of a beam can analytically be derived from the equation of beam deflection when it is applied by a force. where is the applied force and is the deflection. According to elementary beam theory, the relationship between the applied bending moment and the resulting curvature of the beam is:
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| - جساءة انحناء (ar)
- Biegesteifigkeit (de)
- Bending stiffness (en)
- Rigidez à flexão (pt)
- 弯曲刚度 (zh)
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| - جساءة الانحناء هي مقاومة عنصر إنشائي لتشوهات نتيجة الانحناء. هي معادلة تتكون من معامل يونغ، عزم القصور الذاتي لقطاع رأسي لكمرة حول محورها. يمكن إستنتاج من معادلة إنحناء عند تطبيق قوة: حيث هي القوة، و هي الانحناء. يصبح العزم نتيجة نظرية الكمرة مع وهو سكل المنحني: حيث هو الانحناء، هي المسافة علي طول الكمرة. (ar)
- A rigidez à flexão é igual ao produto do módulo de elasticidade pelo momento de inércia de área da seção transversal de uma viga em torno do eixo de interesse. Em outras palavras, a rigidez à flexão é . De acordo com a teoria clássica de vigas, a relação entre o momento fletor aplicado e a curvatura resultante da viga é , onde é a deflexão da viga e a coordenada de seu eixo. Na literatura a definição acima é algumas vezes usada com um sinal negativo, dependendo da convenção. (pt)
- 弯曲刚度（Bending stiffness）為一力學名詞，是用來描述一長條形物體，其彎曲力矩和梁形曲率的比例。 弯曲刚度等于弹性模量E和梁截面关于特定轴的惯性矩I的乘积。换而言之，弯曲刚度就是。根据基础的梁理论，施加的弯曲力矩与所产生的梁曲率的关系是 其中 是梁的挠度。在上述文字中的定义中，有时会根据后基于的约定，使用负号表示。 有時弯曲刚度是指梁的抗弯刚度（Flexural rigidity），即要產生單位曲率需要的力偶。 (zh)
- The bending stiffness is the resistance of a member against bending deformation. It is a function of the Young's modulus , the second moment of area of the beam cross-section about the axis of interest, length of the beam and beam boundary condition. Bending stiffness of a beam can analytically be derived from the equation of beam deflection when it is applied by a force. where is the applied force and is the deflection. According to elementary beam theory, the relationship between the applied bending moment and the resulting curvature of the beam is: (en)
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| - جساءة الانحناء هي مقاومة عنصر إنشائي لتشوهات نتيجة الانحناء. هي معادلة تتكون من معامل يونغ، عزم القصور الذاتي لقطاع رأسي لكمرة حول محورها. يمكن إستنتاج من معادلة إنحناء عند تطبيق قوة: حيث هي القوة، و هي الانحناء. يصبح العزم نتيجة نظرية الكمرة مع وهو سكل المنحني: حيث هو الانحناء، هي المسافة علي طول الكمرة. (ar)
- The bending stiffness is the resistance of a member against bending deformation. It is a function of the Young's modulus , the second moment of area of the beam cross-section about the axis of interest, length of the beam and beam boundary condition. Bending stiffness of a beam can analytically be derived from the equation of beam deflection when it is applied by a force. where is the applied force and is the deflection. According to elementary beam theory, the relationship between the applied bending moment and the resulting curvature of the beam is: where is the deflection of the beam and is the distance along the beam. Double integration of the above equation leads to computing the deflection of the beam, and in turn, the bending stiffness of the beam.Bending stiffness in beams is also known as Flexural rigidity. (en)
- A rigidez à flexão é igual ao produto do módulo de elasticidade pelo momento de inércia de área da seção transversal de uma viga em torno do eixo de interesse. Em outras palavras, a rigidez à flexão é . De acordo com a teoria clássica de vigas, a relação entre o momento fletor aplicado e a curvatura resultante da viga é , onde é a deflexão da viga e a coordenada de seu eixo. Na literatura a definição acima é algumas vezes usada com um sinal negativo, dependendo da convenção. (pt)
- 弯曲刚度（Bending stiffness）為一力學名詞，是用來描述一長條形物體，其彎曲力矩和梁形曲率的比例。 弯曲刚度等于弹性模量E和梁截面关于特定轴的惯性矩I的乘积。换而言之，弯曲刚度就是。根据基础的梁理论，施加的弯曲力矩与所产生的梁曲率的关系是 其中 是梁的挠度。在上述文字中的定义中，有时会根据后基于的约定，使用负号表示。 有時弯曲刚度是指梁的抗弯刚度（Flexural rigidity），即要產生單位曲率需要的力偶。 (zh)
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