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Strength Of Material R.s.khurmi Stresses And Trusses Chapter Pdf Download

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Strength Of Material R.s.khurmi Stresses And Trusses Chapter Pdf Download Rating: 9,1/10 9384 votes

Mechanics of Materials Chapter 2 Strain 2.1 Introduction ‰So far dealt mainly with the strength of structural member. Here we being our study of an equally important topic of mechanics -deformations, or strains. ‰In general terms, strain is a geometric quantity that measures the deformation of a body.

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Strength of Materials Prof. Sivakumar Indian Institute of Technology Madras 5.2.3 Beams of Composite Cross section For beams of composite cross section σxi=−Eky for the i th material in the composite. Y = y i - y 0 y 0 is the location of neutral axis from the bottom of the beam. Y i is the location of neutral axis of the i th material.

There are two types of strain:normal strain, which characterizes dimensional changes, and shear strain, which describes distortion (changes in angles). ‰Stress and strain are two fundamental concepts of mechanics of materials. Their relationship to each other defines the mechanical properties of a material, the knowledge of which is of the utmost importance in design. ‰Use force-deformation relationships in conjunction with equilibrium analysis to solve statically indeterminate problems.

2.2 Axial Deformation;Stress-Strain Diagram ‰ The strength of a material is not the only criterion that must be considered when designing machine parts or structures. The stiffness of a material is often equally important properties such as hardness, toughness, and ductility.These properties are determined by laboratory tests.

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‰ Many materials, particularly metals, have established standards that describe the test procedures in detail. We will confine our attention to only one of the tests-the tensile test of steel- and use its results to illustrate several important concepts of material behavior. Normal (axial) strain ‰ The elongation δmay be caused by an applied axial force, or an expansion due to an increase in temperature, or even a force and a temperature increase acting simultaneously. Figure 2.1 Deformation of a prismatic bar. ‰ Strain describes the geometry of deformation. The normal strain ε(lowercase Greek epsilon) is defined as the elongation per unit length. Therefore, the normal strain in the bar in the axial direction, also known as the axial strain, is ε= δ L (2.1) ‰If the bar deforms uniformly, then Eq.

(2.1) expression should be viewed as the average axial strain. Note that normal strain, being elongation per unit length, is a dimensionless quantity. However, “units”such as in./in. Or mm/mm are frequently used for normal strain.

‰If the deformation is not uniform, we let O be a point in the bar located at the distance χfrom the fixed end. We define the axial strain at point O as Δδ dδ (2.2) ε = lim = Δx→ o Δ χ dχ ‰We note that if the distribution of the axial strain ε is known, the elongation of the can be computed from L L O O δ = ∫ dδ = ∫ εdχ (2.3) For uniform strain distribution, Eq.