Elasticity
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Transcript of Elasticity
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Dr. B. N. Rao
Structural Engineering Division
Department of Civil Engineering
Indian Institute of Technology Madras
Chennai 600 036
THEORY OF ELASTICITY
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1. BRIEF REVIEW OF THE THEORY OF ELASTICITY
In this course, we will assume quasi-static loads and deformation,
And no body forces (e.g., weights). Unless stated otherwise, we will
Also assume small-strain theory.
2. STRESS COMPONENTS AT A POINT
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STRESS COMPONENTS AT A POINT (continued)
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2 Equilibrium Equations
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2 Equilibrium Equations (Continued)
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2 Equilibrium Equations (Continued)
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2 Equilibrium Equations (Continued)
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3. STRAIN COMPONENTS AT A POINT
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STRAIN COMPONENTS AT A POINT (continued)
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STRAIN COMPONENTS AT A POINT (continued)
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4. MATERIAL CONSTITUTIVE LAW (STRESS-STRAIN
RELATIONSHIP)
4.1 Generalized Hooks Law (Isotropic Material)
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Generalized Hooks Law (continued)
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5. COMPATABILITY CONDITIONS/EQUATIONS
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COMPATABILITY CONDITIONS/EQUATIONS( continued)
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6. FUNDAMENTAL PRINCIPLES IN THEORY OF
ELASTICITY
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FUNDAMENTAL PRINCIPLES IN THEORY OF
ELASTICITY (continued)
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7. TWO IMPORTANT STRESS STATES IN PLANE (2D)
ELASTICITY
7.1 Plane Stress
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Plane Stress (continued)
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7.2 Plane Strain
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Plane Strain (continued)
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7.3 Compatibility Condition in Stress
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Compatibility Condition in Stress (continued)