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Chapter 20

Bending

Flessione
Flessione
Pure bending occurs when a prismatic member possesses a plane of symmetry and experiences couples of equal magnitudes acting within that plane. This type ...
Asta simmetrica in flessione
Asta simmetrica in flessione
Consider a prismatic member subjected to two couples, equal in magnitude but in opposite directions, acting within the symmetric plane of the member. A ...
Deformazioni in un'asta simmetrica in flessione
Deformazioni in un'asta simmetrica in flessione
Consider the deformations of a symmetric prismatic member subjected to equal and opposite couples. As the member bends uniformly, the lines on the wider ...
Sollecitazione di flessione
Sollecitazione di flessione
Consider a bending moment where a symmetric member endures stress within the elastic limit. The longitudinal stress can be expressed using Hooke's ...
Deformazioni in una sezione trasversale
Deformazioni in una sezione trasversale
When a material is subjected to uniaxial stress, the material undergoes elongation or contraction in the direction of the applied stress. At the same ...
Piegatura del materiale: risoluzione dei problemi
Piegatura del materiale: risoluzione dei problemi
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 ...
Piegatura di aste di diversi materiali
Piegatura di aste di diversi materiali
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 ...
Concentrazioni di stress
Concentrazioni di stress
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 ...
Deformazioni plastiche
Deformazioni plastiche
For pure bending, when maximum stress exceeds the yield strength of the member's material, it undergoes plastic deformation. The strain at any point ...
Aste in materiale elastoplastico
Aste in materiale elastoplastico
Consider a member made up of an elastoplastic material with a rectangular cross-section. Within the elastic limit, the stress distribution across the ...
Deformazioni plastiche di aste con un singolo piano di simmetria
Deformazioni plastiche di aste con un singolo piano di simmetria
Consider a member experiencing plastic deformation due to bending and having one plane of symmetry. The stresses are uniformly distributed above and below ...
Tensioni residue in flessione
Tensioni residue in flessione
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 ...
Carico assiale eccentrico in un piano di simmetria
Carico assiale eccentrico in un piano di simmetria
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 ...
Flessione asimmetrica
Flessione asimmetrica
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 ...
Flessione asimmetrica - Angolo dell'asse neutro
Flessione asimmetrica - Angolo dell'asse 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 generale di carico assiale eccentrico
Caso generale di carico assiale eccentrico
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 ...
Flessione di aste curve - Analisi della deformazione
Flessione di aste curve - Analisi della deformazione
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 ...
Flessione di aste curve - Superficie neutra
Flessione di aste curve - 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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