Table of Contents
Strength of Materials
The field of materials strength, also known as material mechanics, generally refers to various methods of calculating stress and strain in structural members (such as beams, columns, and shafts).
The method used to predict the response of a structure under load and its susceptibility to various failure modes takes into account the characteristics of the material, such as its elastic limit, ultimate strength, Young’s modulus, and Poisson’s ratio. In addition, the macroscopic properties (geometric properties) of mechanical components, such as their length, width, thickness, boundary constraints, and sudden changes in geometric shapes, such as holes, are also considered.
This theory first considers the behavior of the one-dimensional and two-dimensional members of the structure. The state of stress can be approximated as two-dimensional, and then extended to three-dimensional to develop a more comprehensive elastoplastic behavior theory material. . The important founder of materials mechanics is Stephen Tymoshenko.
Definition
In the mechanics of materials, the strength of a material is its ability to withstand an applied load without failure or plastic deformation. A load applied to a mechanical member will induce internal forces within the member called stresses when those forces are expressed on a unit basis.
With a complete description of the loading and the geometry of the member, the state of stress and state of strain at any point within the member can be calculated. Once the state of stress and strain within the member is known, the strength (load carrying capacity) of that member, its deformations (stiffness qualities), and its stability (ability to maintain its original configuration) can be calculated.
The calculated stresses may then be compared to some measure of the strength of the member such as its material yield or ultimate strength. Material strength refers to the point on the engineering stress-strain curve (yield stress) beyond which the material experiences deformations that will not be completely reversed upon removal of the loading and as a result, the member will have a permanent deflection.
Types of loadings
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