Stress and strain lecture notes pdf

In the early stage, approximate modelling establishes whether the concept will work at all, and identifies the combination of material properties that maximize performance. Pdf ce6306 strength of materials som books, lecture. Stresses, however, cannot be directly measured, but stain. The stressstrain curve characterizes the behavior of the material tested. Bernoullieuler beam theoryfrom lecture 15 cross sections remain plane and perpendicular to the deflection curve of the deformed beam. Mae 3201 mechanics of materials course notes brandon runnels about these notes are for the personal use of students who are enrolled in or have taken mae3201 at the university of colorado colorado springs in the fall 2017 semester.

Stresses, however, cannot be directly measured, but stain is measurable and can be directly related to stress. Useful solutions for standard problems dartmouth college. Concepts of stress and strain one of our principal concerns in this course is material behavior strength. Notes for strength of materials som by abhishek apoorv lecture notes, notes, pdf free download, engineering notes, university notes, best pdf notes, semester, sem, year, for all, study material.

Useful solutions for standard problems preface modelling is a key part of design. Straindisplacement relations, equilibrium equations, compatibility conditions and airys stress function. Stress strain relationship, hookes law, poissons ratio, shear stress. Lecture notes mechanics and materials ii mechanical. The modulus of elasticity may also be characterized as the stiffness or. The concept of stress, generalized stresses and equilibrium pdf lecture 4. Rigid bodies and deformable solids tension, compression and shear stresses deformation of simple and compound bars thermal stresses elastic constants volumetric strains stresses on inclined planes principal stresses and principal planes mohrs circle of stress. Notes for strength of materials som by abhishek apoorv.

Kim 1 idealab fundamentals stress and strain transformation. This lecture includes explanation of stress strain curve of mild steel specimen in tension tested on universal testing machine. Concepts of stress and strain university of arizona. Please do not share or redistribute these notes without permission. Stressstrain relations for linearly elastic solids, generalized hookes law.

Analysis of three dimensional stresses and strains. It is most often plotted using engineering stress and strain measures, because the reference length and crosssectional area are easily measured. Lecture 2 numerical problems on stress, shear stress in axially loaded members. The above geometrical data the strains will be multiplied by material properties to define a new physical. Pdf lecture notes on strength of materials ii torsion. Lecture 1 stresses and strains linkedin slideshare. Ultimate strength the maximum stress the material can withstand based on the original area. Above this point, stress is no longer linearly proportional to strain.

Lecture notes on analysis of stress free pdf file sharing. Mild steel bars have yield strength of 250 nmm2 and hence it. Lecture notes, lecture 1 introduction lecture notes, lecture 6 force system resultants lecture notes, lecture 16 torsion lecture notes, lecture 9 equilibrium of a rigid body lecture notes, lecture 10 structural analysis lecture notes, lecture 11 center of gravity, centroid and moment of inertia. Under a constant normal stress, the shear stress is. Unit 1 stress and straintopics covered lecture 1 introduction, state of plane stress lecture 2 principle stresses and strains lecture 3 mohrs stress circle and theory of failure lecture 4 3d stress and strain, equilibrium equations and impact loading lecture 5. Ce6306 strength of materials som syllabus unit i stress, strain and deformation of solids. Stress and strain study notes for mechanical engineering. The constant is known as modulus of elasticity or youngs modulus or elastic modulus. Me111 stress, strain and strength stanford university 4 oct 16 9 analysis and design of pressure vessels lecture notes oct 18 10 stress concentrations.

Understanding stress there is a fundamental difference both conceptually and. The true stress is defined as the ratio of the load to the crosssection area at any instant. Modulus of elasticity e elastic materials always spring back into shape when released. Mild steel bars have yield strength of 250 nmm2 and hence it is known as fe 250. E stressstrain youngs modulus e, is generally assumed to be same in tension or compression and for most of engineering application has high numerical value. The notes that follow come from several sources and i have tried to eliminate the errors when i find them. Mohr circles, stressstrain analysis, matrix math, etc. But strength models are often intimately related to stress. Lecture notes, lecture 1 introduction lecture notes, lecture 6 force system resultants lecture notes.

Definition of stress, stress tensor, normal and shear stresses in axially loaded members. This lecture includes following topics what is stress. Modulus of elasticity slope of the initial linear portion of the stressstrain diagram. Mechanical properties of metals outline introduction concepts of stress and strain elastic deformation stressstrain behavior elastic properties of materials plastic deformation yield and yield strength ductility resilience toughness concepts of. Mechanical properties of materials ohp 1 definition of stress stress, is defined as the intensity of force at a point. The above equation is a simple linear model for the 1d analysis of materials operating in the elastic region of behavior. The modules of elasticity e for these steel is 2x105 nmn2. Course outline material behavior under uniaxial loading displacement and strain stress and equilibrium stress strain. Stressstrain curves generated from tensile test results help. Development of constitutive equations of continuum, beams and plates pdf lecture 5.