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Chapter 20

Bending

弯曲
弯曲
Pure bending occurs when a prismatic member possesses a plane of symmetry and experiences couples of equal magnitudes acting within that plane. This type ...
弯曲中的对称杆件
弯曲中的对称杆件
Consider a prismatic member subjected to two couples, equal in magnitude but in opposite directions, acting within the symmetric plane of the member. A ...
弯曲时对称杆件的变形
弯曲时对称杆件的变形
Consider the deformations of a symmetric prismatic member subjected to equal and opposite couples. As the member bends uniformly, the lines on the wider ...
弯曲应力
弯曲应力
Consider a bending moment where a symmetric member endures stress within the elastic limit. The longitudinal stress can be expressed using Hooke's ...
横向截面中的变形
横向截面中的变形
When a material is subjected to uniaxial stress, the material undergoes elongation or contraction in the direction of the applied stress. At the same ...
材料弯曲:问题解决
材料弯曲:问题解决
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 ...
由多种材料制成的杆件的弯曲
由多种材料制成的杆件的弯曲
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 ...
应力集中
应力集中
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 ...
塑性变形
塑性变形
For pure bending, when maximum stress exceeds the yield strength of the member's material, it undergoes plastic deformation. The strain at any point ...
弹塑性材料制成的构件
弹塑性材料制成的构件
Consider a member made up of an elastoplastic material with a rectangular cross-section. Within the elastic limit, the stress distribution across the ...
具有单个对称平面的杆件的塑性变形
具有单个对称平面的杆件的塑性变形
Consider a member experiencing plastic deformation due to bending and having one plane of symmetry. The stresses are uniformly distributed above and below ...
弯曲中的残余应力
弯曲中的残余应力
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 ...
对称平面中的偏心轴向载荷
对称平面中的偏心轴向载荷
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 ...
非对称弯曲
非对称弯曲
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 ...
非对称弯曲 - 中性轴的角度
非对称弯曲 - 中性轴的角度
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 ...
偏心轴向载荷的一般情况
偏心轴向载荷的一般情况
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 ...
弯曲杆件的弯曲 - 应变分析
弯曲杆件的弯曲 - 应变分析
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 ...
弯曲杆件的弯曲 - 中性面
弯曲杆件的弯曲 - 中性面
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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