EML 3004 C CHAPTER 10 Mechanical Engineering and

EML 3004 C CHAPTER 10 Mechanical Engineering and Solid Mechanics Namas Chandra Introduction to Mechanical engineering Chapter 10 -1

EML 3004 C Objectives Differentiate between the different types of basic loading conditions. Understand how extension of a bar is associated with lateral contraction of the same bar Apply Hooke’s Law to basic loading conditions Sections 10. 1 10. 2 10. 3 10. 4 10. 5 Introduction Tension, Compression, Shear, and Torsion The Poisson Effect Hooke’s Law Summary Namas Chandra Introduction to Mechanical engineering Chapter 10 -2

EML 3004 C 10. 1 Introduction Given all loads/moments on the given body, to determine deformation (deflection) and stresses. § We may also find the allowable loading when failure may occur § A body is loaded, it deforms; but upon complete unloading body may either return back to its original state Then it is elastic- Else Inelastic (plastic) § Namas Chandra Introduction to Mechanical engineering Chapter 10 -3

EML 3004 C 10. 2 Tension, Compression, Shear, and Torsion Namas Chandra Introduction to Mechanical engineering Chapter 10 -4

EML 3004 C 10. 2. 1 Shear Force § A body under shear will have an angle change Namas Chandra Introduction to Mechanical engineering Chapter 10 -5

EML 3004 C 10. 2. 2 Namas Chandra Introduction to Mechanical engineering Shear Stress Example Chapter 10 -6

EML 3004 C 10. 3 Poisson Effect § When a body is under tension, the length increases but width (or diameter decreases and this effect is called Poisson’s effect. Namas Chandra Introduction to Mechanical engineering Chapter 10 -7

EML 3004 C 10. 4 Hooke’s Law § In 1678, Hooke postulated E is Youngs modulus in Msi, ( psi) or Gpa (Giga pascals). Example Namas Chandra Introduction to Mechanical engineering Chapter 10 -8