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07~chapter 07 - Materials engineering science processing...

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Materials: engineering, science, processing and design, 2nd edition Copyright (c)2010 Michael Ashby, Hugh Shercliff, David Cebon
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Yielding of Ties and Columns Materials: engineering, science, processing and design, 2nd edition Copyright (c)2010 Michael Ashby, Hugh Shercliff, David Cebon A tie is a rod loaded in tension while a column is loaded in compression The state of stress within them is uniform and the material remains elastic at stresses below the yield strength
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Figure 7.1 Beam in Bending If σ max exceeds σ y then the component is no longer elastic In bending, the maximum longitudinal stress on a beam or panel is Materials: engineering, science, processing and design, 2nd edition Copyright (c)2010 Michael Ashby, Hugh Shercliff, David Cebon y m – distance from the neutral axis Z e – elastic section modulus
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Figure 7.2 At a moment well beyond the yield strength, a component will collapse by rotating about its plastic hinge Materials: engineering, science, processing and design, 2nd edition Copyright (c)2010 Michael Ashby, Hugh Shercliff, David Cebon Maximum moment FL FL/4 FL/8
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Figure 7.3 Materials: engineering, science, processing and design, 2nd edition Copyright (c)2010 Michael Ashby, Hugh Shercliff, David Cebon Z e and Z p are functions of shape that help define the failure of a beam in bending – in either case, the moment required is y
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Figure 7.4 Yielding of Shafts and Helical Springs
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