rapor-1 - INTRODUCTION & THEORY Many materials, when in...

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Many materials, when in service, are subjected to forces and loads. In such situations it is necessary to know the characteristics and the mechanical properties of the material so that any resulting deformation will not be excessive and fracture will not occur. In order to provide this, some mechanical tests are applied to the material subjecting the material to tension, compression, bending or torsion loading. The most commonly used test among these is the tension test. Tensile test, is probably the most fundamental type of mechanical test that can be performed on a material. Tensile tests are simple, relatively inexpensive, and fully standardized.   Data from tensile tests are used to construct the stress-strain curve in order to determine percent elongation ( % l) , modulus of elasticity (E), Poisson’s ratio ( ν29 , reduction in area (RA%), ultimate tensile strength (UTS), yield strength ( σψ ), toughness, resilience and other tensile properties. Stress: σ = P/ Ao (load / initial cross sectional area) Strain: e = l/l 0 (elongation / initial gage length) Elastic Region: is the part of the stress-strain curve up to the yielding point. Elastic deformation is recoverable and in this region stress and strain are linearly dependent to each other. Hooke’s Law: σ = Εε Ε ισ τηε σλοπε οφ τηε χυρωε ιν ελαστιχ ρεγιον ανδ ισ χαλλεδ τηε Μοδυλυσ οφ Ελαστιχιτψ ορ Ψουνγ σ Μοδυλυσ . Τηισ ωαλυε ισ σπεχιφιχ φορ εαχη κινδ οφ ματεριαλ.
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Plastic Region: is the part of the stress-strain curve after the yielding point. Plastic deformation starts at the yielding point and is not recoverable. Tensile Strength:
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This note was uploaded on 12/27/2011 for the course MATH 265 taught by Professor Asas during the Spring '11 term at Middle East Technical University.

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rapor-1 - INTRODUCTION & THEORY Many materials, when in...

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