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Chapter 20
Bending

Bending
Pure bending is a fundamental concept in structural mechanics, essential for understanding how materials deform under symmetrical loads without…
Symmetric Member in Bending
In the study of the mechanics of materials, analyzing the behavior of prismatic members under opposing couples is crucial for understanding internal…
Deformations in a Symmetric Member in Bending
When analyzing the deformation of a symmetric prismatic member subjected to bending by equal and opposite couples, it becomes clear that as the…
Flexural Stress
When analyzing bending in symmetric members, it's crucial to understand how stresses distribute when subjected to bending moments. This stress…
Deformations in a Transverse Cross Section
When a material is subjected to uniaxial stress, it elongates or contracts in the direction of the applied force, and also undergoes changes in the…
Bending of Material: Problem Solving
In this lesson, determine the ratio of the maximum bending moments applied to two metal pipes, given that both pipes can withstand a maximum stress…
Bending of Members Made of Several Materials
In analyzing a structural member composed of two different materials with identical cross-sectional areas, it is crucial to understand how their…
Stress Concentrations
The concept of stress concentration is crucial for understanding how materials respond under bending stresses, particularly when there are…
Plastic Deformations
It is essential to understand how structural members behave under plastic deformation when the bending stress exceeds the material's yield…
Members Made of Elastoplastic Material
The behavior of elastoplastic materials under bending stresses, particularly in structural members with rectangular cross-sections, is crucial for…
Plastic Deformations of Members with a Single Plane of Symmetry
When a structural member undergoes plastic deformation due to bending, it is crucial to understand the position of the neutral axis and the stress…
Residual Stresses in Bending
In the study of elastoplastic members subjected to bending moments, understanding the loading and unloading phases is crucial for assessing material…
Eccentric Axial Loading in a Plane of Symmetry
Eccentric axial loading occurs when an axial load is applied away from the centroidal axis of a structural member. This scenario is common in…
Unsymmetric Bending
Unsymmetrical bending occurs when the bending moment applied to a structural member does not align with its principal axis. This misalignment leads…
Unsymmetric Bending - Angle of Neutral Axis
Unsymmetrical bending occurs when a structural member is subjected to bending moments in a plane that does not align with the member's principal…
General Case of Eccentric Axial Loading
Unsymmetrical bending occurs when the bending moment applied to a structural member does not align with its principal axis. This misalignment leads…
Bending of Curved Members - Strain Analysis
The mechanics of deformation in curved members, such as beams or arches, under bending moments, involve complex responses. When such a member,…
Bending of Curved Members - Neutral Surface
In curved beams, unlike straight beams, the stress distribution across the cross-section is not uniform due to the beam's curvature. This…
A Novel Biaxial Testing Apparatus for the Determination of Forming Limit under Hot Stamping Conditions
The hot stamping and cold die quenching process is increasingly used to form complex shaped structural components of sheet metals. Conventional…
Ultrasonic Fatigue Testing in the Tension-Compression Mode
Ultrasonic fatigue testing is one of a few methods which allow investigating fatigue properties in the ultra-high cycle region. The method is based…
A Bending Test for Determining the Atterberg Plastic Limit in Soils
The thread rolling test is the most commonly used method to determine the plastic limit (PL) in soils. It has been widely criticized, because a…

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