chapter 2 strain l.
Download
Skip this Video
Loading SlideShow in 5 Seconds..
Chapter 2 Strain PowerPoint Presentation
Download Presentation
Chapter 2 Strain

Loading in 2 Seconds...

play fullscreen
1 / 6

Chapter 2 Strain - PowerPoint PPT Presentation


  • 150 Views
  • Uploaded on

Chapter 2 Strain. Deformation. Whenever a force is applied to a body, it will undergo deformation (change the body's shape and size) The deformation can be highly visible, but is often unnoticeable

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about 'Chapter 2 Strain' - hammer


An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
deformation
Deformation
  • Whenever a force is applied to a body, it will undergo deformation (change the body's shape and size)
  • The deformation can be highly visible, but is often unnoticeable
  • Generally, the deformation of a body will not be uniform throughout its volume → so the change in geometry of any line segment within the body may vary along its length
  • To study deformational changes in a more uniform manner, lines will be considered that are very short and located in the vicinity of a point
normal strain
Normal Strain
  • The elongation or contraction of a line segment per unit of length is referred to as normal strain (ε)
  • The average normal strain
  • The normal strain at point A in the direction of n
  • Approximate final length of a short line segment in the direction of n
  • Normal strain is a dimensionless quantity (but often still use units representing the ratio of length, mm/mm or in/in)
shear strain
Shear Strain
  • The change in angle that occurs between two line segments that were originally perpendicular to one another is referred to as shear strain
  • The shear strain at point A that is associated with n and t axes
  • If θ' is smaller than π/2 the shear strain is positive, if θ' is larger than π/2 the shear strain is negative
  • Shear strain is measured in radians (rad)
cartesian strain components
Cartesian Strain Components
  • Normal strains cause a change in volume of the element, whereas the shear strains cause a change in its shape
small strain analysis
Small Strain Analysis
  • Most engineering design involves applications for which only small deformations are allowed
  • It is assumed in this text that deformations occurring within a body are almost infinitesimal, so that normal strains are very small compared to 1 (ε<<1, referred to as small strain analysis)
  • If θ is very small, can approximate (in radians) sin θ = θ, tan θ = θ, cosθ = 1
  • Problems pg 75