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Chapter 20

Bending

Flexión
Flexión
Pure bending occurs when a prismatic member possesses a plane of symmetry and experiences couples of equal magnitudes acting within that plane. This type ...
Miembro simétrico en flexión
Miembro simétrico en flexión
Consider a prismatic member subjected to two couples, equal in magnitude but in opposite directions, acting within the symmetric plane of the member. A ...
Deformaciones en un miembro simétrico en flexión
Deformaciones en un miembro simétrico en flexión
Consider the deformations of a symmetric prismatic member subjected to equal and opposite couples. As the member bends uniformly, the lines on the wider ...
Estrés de flexión
Estrés de flexión
Consider a bending moment where a symmetric member endures stress within the elastic limit. The longitudinal stress can be expressed using Hooke's ...
Deformación en una sección transversal
Deformación en una sección transversal
When a material is subjected to uniaxial stress, the material undergoes elongation or contraction in the direction of the applied stress. At the same ...
Doblado de material: resolución de problemas
Doblado de material: resolución de problemas
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 ...
Flexión de miembros hechos de varios materiales
Flexión de miembros hechos de varios materiales
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 ...
Concentraciones de estrés
Concentraciones de estrés
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 ...
Deformaciones Plásticas
Deformaciones Plásticas
For pure bending, when maximum stress exceeds the yield strength of the member's material, it undergoes plastic deformation. The strain at any point ...
Miembros hechos de material elastoplástico
Miembros hechos de material elastoplástico
Consider a member made up of an elastoplastic material with a rectangular cross-section. Within the elastic limit, the stress distribution across the ...
Deformaciones plásticas de miembros con un solo plano de simetría
Deformaciones plásticas de miembros con un solo plano de simetría
Consider a member experiencing plastic deformation due to bending and having one plane of symmetry. The stresses are uniformly distributed above and below ...
Esfuerzos residuales en flexión
Esfuerzos residuales en flexión
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 ...
Carga axial excéntrica en un plano de simetría
Carga axial excéntrica en un plano de simetría
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 ...
Flexión asimétrica
Flexión asimétrica
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 ...
Flexión asimétrica: ángulo del eje neutro
Flexión asimétrica: ángulo del eje neutro
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 ...
Caso general de carga axial excéntrica
Caso general de carga axial excéntrica
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 ...
Flexión de miembros curvos: análisis de deformación
Flexión de miembros curvos: análisis de deformación
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 ...
Flexión de miembros curvos: superficie neutra
Flexión de miembros curvos: superficie neutra
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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