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  1. stiffness. Material which suffers slight deformation under load has a high degree of stiffness or rigidity. Steel beam is stiffer or more rigid than aluminium beam. Finally, it means that the ability of material to resist elastic deflection is known as stiffness. 2.3. Elasticity

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  2. Chapter 1. Introduction to Structural Stability. OUTLINE. Definition of stability. Types of instability. Methods of stability analyses. Examples – small deflection analyses. Examples – large deflection analyses. Examples – imperfect systems. Design of steel structures. STABILITY DEFINITION.

    • CHAPTER 1
    • FORCES: DYNAMICS AND STATICS
    • INVESTIGATING THE MECHANICAL PROPERTIES OF MATERIALS
    • The Concept of Strain
    • = AdL . (1.5)
    • THE EFFECT OF DIRECTION
    • Tensile Tests
    • Compressive Tests
    • Mechanical Testing with Homemade Equipment
    • FAILURE AND BREAKING
    • STRESS CONCENTRATIONS AND NOTCH SENSITIVITY
    • C = 1 + (2rpe/rpa), (1.14)
    • MEASURING WORK OF FRACTURE
    • COMPARING THE PROPERTIES OF MATERIALS

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    We all have some intuitive idea about the mechanics of the world around us, an idea built up largely from our own experience. However, a proper scientifi understanding of mechanics has taken centuries to achieve. Isaac Newton was of course the founder of the science of mechanics; he was the firs to describe and understand the ways in which moving b...

    The science of elasticity seeks to understand the mechanical behavior of structures when they are loaded. It aims to predict just how much they Figure 1.2. When a tensile force is applied to a perfectly Hookean spring or material (a), it will stretch a distance proportional to the force applied. In the material this is usually because the bonds bet...

    If it takes a unit force to stretch a rubber band of a given length by a given distance, the same force applied to two rubber bands joined end to end or to a single band of twice the length will result in twice the stretch. Resistance to stretching is therefore inversely proportional to the length of a sample. To determine the change in shape of th...

    Stiff materials therefore have a high Young’s modulus. Compliance is the inverse of stiffness, so compliant materials have a low Young’s modulus. In many materials, the slope of the curve changes as the material is stretched. For such materials one can distinguish between the initial stiffness and the tangent stiffness, which is the slope at higher...

    Many engineering materials, such as metals, plastics, and concrete, are essentially homogenous and have the same material properties in all direc-tions. These are said to be isotropic. Many other materials, on the other hand, particularly those with a complex internal structure (including many if not most biological materials), have very different ...

    For a tensile test, the test piece typically has a “dumbbell” form (fig 1.3a) with a relatively long, thin central portion and broad shoulders at each end. The sample is gripped firml at its shoulders by two clamps: the lower one is mounted in the base of the machine; the upper one is attached via a load cell to a movable crosshead. To carry out th...

    Some of the problems of tensile tests can be overcome by carrying out compressive tests, in which a relatively thicker rod of material is squashed between two plates. The sample is much easier to machine because no ex-panded ends are needed, but the sample and plates must both be machined flat Because the sample is relatively thicker, it will also ...

    Not everyone has access to a materials testing machine or can afford to buy one. It may also be impossible to transport samples to the laboratory (for instance, if you want to investigate the properties of wood in a tropical rainforest). Finally, most commercially available testing machines are just not sensitive enough to measure the material prop...

    As we have seen, it is relatively easy to explain how and why materials resist being deformed; one just has to consider the forces set up between their atoms. The fracture behavior of materials is more difficul to understand. It might be expected that the strength of a piece of material will be directly proportional both to the strength of its inte...

    Let us f rst examine the distribution of stress within a material that is being stretched in a tensile test. If the test piece used is perfectly smooth and free of internal f aws, the stresses will be evenly distributed throughout the material and the strength of the sample will equal the breaking stress of the material times its cross-sectional ar...

    where rpe is the radius perpendicular to the force and rpa is the radius parallel to it. The longer the crack and the smaller the crack tip, therefore, the higher the stress concentration. Long, narrow cracks or holes oriented at right angles to the applied force will therefore increase stress far more than ones oriented parallel to it. If a brittl...

    You might think it should be very easy to measure the work of fracture of a biological material. All you would need to do would be to perform a simple tensile test, and the work of fracture could be estimated from the area under the stress-strain curve up to the point of failure. Unfortunately things are not that simple. When a tensile piece is bro...

    All the complexity of the properties of materials and of materials testing means that it is surprisingly complicated to compare the properties of different materials. They can differ in their stiffness, their strength, their ability to store and release energy, and in their toughness. Some materials are also better at resisting tension, whereas oth...

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  3. In this Chapter materials are classified and the most important properties of the engineering materials are listed with short explanations. The properties covered here are especially those properties, which are important in manufacturing processes. 1.1. Classification of Engineering Materials.

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  4. Jan 1, 2020 · The mechanical properties of a material indicate how it responds under specific stresses, which helps to determine its suitability for different applications. In this paper, the definition...

  5. Samples of engineering materials are subjected to a wide variety of mechanical tests to measure their strength, elastic constants, and other material properties as well as their performance under a variety of actual use conditions and environments.

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  7. Stiffness is the capacity of a mechanical system to sustain external loads without excessive changes of its geometry (deformations). It is one of the most important design criteria for mechanical components and systems.

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