Chapter 1 Introduction

Chapter 1 Introduction - Chapter 1 Introduction Concept of...

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Unformatted text preview: Chapter 1 Introduction Concept of Stress Road Map: Statics → Mechanics of Materials → Elasticity → Plasticity Fracture Mechanics Fatigue Creep Mechanics of Materials is important foundation for: 1. Machine Design I & II 2. Advanced Mechanics Courses 3. Elasticity & Plasticity 4. Finite Element Methods Statics: main concern: Equilibrium x y o F F M Σ = Σ = Σ = Mechanics of Materials: 1. Equilibrium 2. Deflection (Deformation) 3. Yielding or Failure Forces Stress Strain “Mechanics of Materials” is a branch of Mechanics that develops relationships between : The external loads Intensity of internal forces (stress / strain / deformation) 1.3 Stresses in the Members of a Structure Assumptions: 1. Uniform distribution of stress 2. Uniform material properties P A σ = (1.5) Units: SI Units: (1.5) English Units: psi = lb/in 2 ksi = 10 3 psi 1.5 Axial Loading: Normal Stress The more general definition of normal stress is: lim A F A σ ∆ → ∆ = ∆ (1.6) The normal stress: P average stress A σ = = (1.5) If the stress distribution is not uniform: External force dF dA σ = internal force 1. In engineering practice we assume the stress is uniform1....
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This note was uploaded on 12/03/2011 for the course EMA 3702 taught by Professor Wu during the Fall '11 term at FIU.

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Chapter 1 Introduction - Chapter 1 Introduction Concept of...

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