Successfully reported this slideshow.
We use your LinkedIn profile and activity data to personalize ads and to show you more relevant ads. You can change your ad preferences anytime.
Mechanics Of Structures-1
 Hooke’s law states that: “ When a body is loaded
within elastic limit, the stress is proportional to
strain developed” o...
 Young's modulus (E) is generally assumed to be
the same in tension or compression and for most of
engineering applicatio...
stress is a physical quantity that expresses the
internal forces that neighboring particles of a
continuous material exert...
The relationship between the stress and strain
that a particular material displays is known as
that particular material's ...
Ductile Materials:
>Ductile materials will withstand large strains before the
specimen ruptures.
>Ductile materials often ...
Steel generally exhibits a very linear stress-strain
relationship up to a well defined yield point
Typical regions that can
be observed in a stress-
strain curve are:
 Elastic region,
 Yielding,
 Strain Hardening,
 Ne...
 If the specimen
returns to its
original length
when the load
acting on it is
removed, it is said
to response
elastically
 A slight increase in
stress above the elastic
limit will result in
permanent deformation.
This behavior is
called yieldi...
 When yielding has
ended, a further load
can be applied to the
specimen, resulting in a
cure that rises
continuously but
...
 After the ultimate
stress, the cross-
sectional area begins
to decrease in a
localized region of the
specimen, instead o...
Stress strain curve for ductile and brittle materials
Upcoming SlideShare
Loading in …5
×

Stress strain curve for ductile and brittle materials

21,001 views

Published on

Machanics Of Structures

Published in: Engineering
  • You have to choose carefully. ⇒ www.HelpWriting.net ⇐ offers a professional writing service. I highly recommend them. The papers are delivered on time and customers are their first priority. This is their website: ⇒ www.HelpWriting.net ⇐
       Reply 
    Are you sure you want to  Yes  No
    Your message goes here
  • Hi there! I just wanted to share a list of sites that helped me a lot during my studies: .................................................................................................................................... www.EssayWrite.best - Write an essay .................................................................................................................................... www.LitReview.xyz - Summary of books .................................................................................................................................... www.Coursework.best - Online coursework .................................................................................................................................... www.Dissertations.me - proquest dissertations .................................................................................................................................... www.ReMovie.club - Movies reviews .................................................................................................................................... www.WebSlides.vip - Best powerpoint presentations .................................................................................................................................... www.WritePaper.info - Write a research paper .................................................................................................................................... www.EddyHelp.com - Homework help online .................................................................................................................................... www.MyResumeHelp.net - Professional resume writing service .................................................................................................................................. www.HelpWriting.net - Help with writing any papers ......................................................................................................................................... Save so as not to lose
       Reply 
    Are you sure you want to  Yes  No
    Your message goes here

Stress strain curve for ductile and brittle materials

  1. 1. Mechanics Of Structures-1
  2. 2.  Hooke’s law states that: “ When a body is loaded within elastic limit, the stress is proportional to strain developed” or “Within the elastic limit the ratio of stress applied to strain developed is a constant”  The constant is known as Modulus of elasticity or Elastic modulus or Young’s modulus  Mathematically within elastic limit Stress/Strain=σ/e=E σ= P/A; e =ΔL/L E=PL/A Δ L
  3. 3.  Young's modulus (E) is generally assumed to be the same in tension or compression and for most of engineering applications has a high numerical value. Typically, E=210 x 10^9 N/m² (=210 GPa) for steel  Modulus of rigidity, G= τ/φ= Shear stress/ shear strain  Factor of safety= Ultimate stress/Permissible stress  In most engineering applications strains do not often exceed 0.003 so that the assumption that deformations are small in relation to orginal dimensions is generally valid
  4. 4. stress is a physical quantity that expresses the internal forces that neighboring particles of a continuous material exert on each other strain is the measure of the deformation of the material.
  5. 5. The relationship between the stress and strain that a particular material displays is known as that particular material's stress–strain curve. It is unique for each material and is found by recording the amount of deformation (strain) at distinct intervals of tensile or compressive loading (stress).
  6. 6. Ductile Materials: >Ductile materials will withstand large strains before the specimen ruptures. >Ductile materials often have relatively small Young’s moduli and ultimate stresses. >Ductile materials exhibit large strains and yielding before they fail. >Steel and aluminum usually fall in the class of Ductile Materials Brittle Materials: >Brittle materials fracture at much lower strains. >Brittle materials often have relatively large Young’s moduli and ultimate stresses. >Brittle materials fail suddenly and without much warning. >Glass and cast iron fall in the class of Brittle Materials.
  7. 7. Steel generally exhibits a very linear stress-strain relationship up to a well defined yield point
  8. 8. Typical regions that can be observed in a stress- strain curve are:  Elastic region,  Yielding,  Strain Hardening,  Necking and Failure
  9. 9.  If the specimen returns to its original length when the load acting on it is removed, it is said to response elastically
  10. 10.  A slight increase in stress above the elastic limit will result in permanent deformation. This behavior is called yielding  The stress that causes yielding is called yield stress σy.  The deformation that occurs is called plastic deformation
  11. 11.  When yielding has ended, a further load can be applied to the specimen, resulting in a cure that rises continuously but becomes flatter until it reaches a maximum stress referred to as ultimate stress, σu.  The rise in the curve is called Strain Hardening
  12. 12.  After the ultimate stress, the cross- sectional area begins to decrease in a localized region of the specimen, instead of over its entire length. The load (and stress) keeps dropping until the specimen reaches the fracture point.

×