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نواتج الإجهاد هي تكاملات الإجهاد على كثافة … نواتج الإجهاد هي تكاملات الإجهاد على كثافة أي هيكل. ويتم وزن التكاملات a بواسطة أس الأعداد الصحيحة لإحداثي الكثافة z. يتم تعريف نواتج الإجهاد بهذا الشكل لإبراز تأثير الإجهاد عندما تكون قوة الغشاء N (أسًا صفريًا في z) أو عزم الانحناء M (الأس 1) على شعاع أو هيكل (بنية). ويُعتبر هذا جزءًا من نظرية الهياكل. ونواتج الإجهاد ضرورية لإزالة اعتمادية z الإجهاد من المعادلات الخاصة بنظرية الهياكل.لإجهاد من المعادلات الخاصة بنظرية الهياكل.
, Stress resultants are simplified represent … Stress resultants are simplified representations of the stress state in structural elements such as beams, plates, or shells. The geometry of typical structural elements allows the internal stress state to be simplified because of the existence of a "thickness'" direction in which the size of the element is much smaller than in other directions. As a consequence the three traction components that vary from point to point in a cross-section can be replaced with a set of resultant forces and resultant moments. These are the stress resultants (also called , shear forces, and bending moment) that may be used to determine the detailed stress state in the structural element. A three-dimensional problem can then be reduced to a one-dimensional problem (for beams) or a two-dimensional problem (for plates and shells). Stress resultants are defined as integrals of stress over the thickness of a structural element. The integrals are weighted by integer powers the thickness coordinate z (or x3). Stress resultants are so defined to represent the effect of stress as a membrane force N (zero power in z), bending moment M (power 1) on a beam or shell (structure). Stress resultants are necessary to eliminate the z dependency of the stress from the equations of the theory of plates and shells.ations of the theory of plates and shells.
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Stress resultants are simplified represent … Stress resultants are simplified representations of the stress state in structural elements such as beams, plates, or shells. The geometry of typical structural elements allows the internal stress state to be simplified because of the existence of a "thickness'" direction in which the size of the element is much smaller than in other directions. As a consequence the three traction components that vary from point to point in a cross-section can be replaced with a set of resultant forces and resultant moments. These are the stress resultants (also called , shear forces, and bending moment) that may be used to determine the detailed stress state in the structural element. A three-dimensional problem can then be reduced to a one-dimensional problem (for beams) or a two-dimensional problem (forr beams) or a two-dimensional problem (for
, نواتج الإجهاد هي تكاملات الإجهاد على كثافة … نواتج الإجهاد هي تكاملات الإجهاد على كثافة أي هيكل. ويتم وزن التكاملات a بواسطة أس الأعداد الصحيحة لإحداثي الكثافة z. يتم تعريف نواتج الإجهاد بهذا الشكل لإبراز تأثير الإجهاد عندما تكون قوة الغشاء N (أسًا صفريًا في z) أو عزم الانحناء M (الأس 1) على شعاع أو هيكل (بنية). ويُعتبر هذا جزءًا من نظرية الهياكل. ونواتج الإجهاد ضرورية لإزالة اعتمادية z الإجهاد من المعادلات الخاصة بنظرية الهياكل.لإجهاد من المعادلات الخاصة بنظرية الهياكل.
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نواتج الإجهاد
, Stress resultants
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