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Chapter 20

Bending

الانحناء
الانحناء
Pure bending occurs when a prismatic member possesses a plane of symmetry and experiences couples of equal magnitudes acting within that plane. This type ...
عضو متماثل في الانحناء
عضو متماثل في الانحناء
Consider a prismatic member subjected to two couples, equal in magnitude but in opposite directions, acting within the symmetric plane of the member. A ...
التشوهات في عضو متماثل في الانحناء
التشوهات في عضو متماثل في الانحناء
Consider the deformations of a symmetric prismatic member subjected to equal and opposite couples. As the member bends uniformly, the lines on the wider ...
إجهاد الانحناء
إجهاد الانحناء
Consider a bending moment where a symmetric member endures stress within the elastic limit. The longitudinal stress can be expressed using Hooke's ...
التشوهات في المقطع العرضي
التشوهات في المقطع العرضي
When a material is subjected to uniaxial stress, the material undergoes elongation or contraction in the direction of the applied stress. At the same ...
ثني المواد: حل المشكلات
ثني المواد: حل المشكلات
Consider two metallic pipes having an inner radii of 1.5 cm and 1 cm, respectively, and an outer radii of 1.8 cm. If both pipes can withstand a maximum ...
ثني الأعضاء المصنوعة من عدة مواد
ثني الأعضاء المصنوعة من عدة مواد
Consider a member of two different materials that have the same cross-sectional area. The equation of stress for such a member is expressed in terms of ...
تركيزات الإجهاد
تركيزات الإجهاد
The equation for stress for a member under pure bending having a plane of symmetry and a uniform cross-section assumes that the stress is evenly ...
تشوهات البلاستيك
تشوهات البلاستيك
For pure bending, when maximum stress exceeds the yield strength of the member's material, it undergoes plastic deformation. The strain at any point ...
أعضاء مصنوعة من مادة اللدائن المرنة
أعضاء مصنوعة من مادة اللدائن المرنة
Consider a member made up of an elastoplastic material with a rectangular cross-section. Within the elastic limit, the stress distribution across the ...
تشوهات بلاستيكية للأعضاء بمستوى واحد من التماثل
تشوهات بلاستيكية للأعضاء بمستوى واحد من التماثل
Consider a member experiencing plastic deformation due to bending and having one plane of symmetry. The stresses are uniformly distributed above and below ...
الضغوط المتبقية في الانحناء
الضغوط المتبقية في الانحناء
If a sufficiently large bending moment is applied to an elastoplastic member, plastic zones will develop in the member. Now, if the bending moment is ...
تحميل محوري غريب الأطوار في مستوى من التماثل
تحميل محوري غريب الأطوار في مستوى من التماثل
Eccentric axial loading refers to the application of an axial load that is not aligned with the centroidal axis of the member. Consider a member having a ...
الانحناء غير المتماثل
الانحناء غير المتماثل
Unsymmetric bending occurs when the bending moment is not acting along the plane of the symmetry of the member or if the member does not possess any plane ...
الانحناء غير المتماثل - زاوية المحور المحايد
الانحناء غير المتماثل - زاوية المحور المحايد
Consider a member with a vertical plane of symmetry subjected to bending couples in a plane at an angle θ with respect to the vertical axis of the ...
الحالة العامة للتحميل المحوري غريب الأطوار
الحالة العامة للتحميل المحوري غريب الأطوار
Consider a member subjected to equal and opposite eccentric forces. These forces are applied at a horizontal distance of a and a vertical distance of b ...
ثني الأعضاء المنحنية - تحليل الإجهاد
ثني الأعضاء المنحنية - تحليل الإجهاد
Consider a curved member having a transverse section symmetric with the y-axis. Its upper and lower surfaces intersect with xy-planes along arcs of ...
ثني الأعضاء المنحنية - سطح محايد
ثني الأعضاء المنحنية - سطح محايد
For a curved member with a uniform cross-section, the strain equation along the section shows that it varies non-linearly with the distance from the ...
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