Stress and strain lecture notes pdf

Stressstrain curve of mild steel bar in tension created by aman. Useful solutions for standard problems preface modelling is a key part of design. Pdf lecture notes on strength of materials ii torsion. Opti 222 mechanical design in optical engineering 21. Modulus of elasticity e elastic materials always spring back into shape when released.

The interface between the blocks is not smooth and contains friction. In the early stage, approximate modelling establishes whether the concept will work at all, and identifies the combination of material properties that maximize performance. Stressstrain relations for linearly elastic solids, generalized hookes law. The above equation is a simple linear model for the 1d analysis of materials operating in the elastic region of behavior.

Mild steel bars have yield strength of 250 nmm2 and hence it is known as fe 250. Stresses, however, cannot be directly measured, but stain is measurable and can be directly related to stress. 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. Course outline material behavior under uniaxial loading displacement and strain stress and equilibrium stress strain. Stress strain relationship, hookes law, poissons ratio, shear stress. Above this point, stress is no longer linearly proportional to strain. Mild steel bars have yield strength of 250 nmm2 and hence it.

Under a constant normal stress, the shear stress is. Analysis of three dimensional stresses and strains. 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 modulus of elasticity may also be characterized as the stiffness or. Stresses, however, cannot be directly measured, but stain. Modulus of elasticity slope of the initial linear portion of the stressstrain diagram.

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. Ce6306 strength of materials som syllabus unit i stress, strain and deformation of solids. Stressstrain curves generated from tensile test results help. The modules of elasticity e for these steel is 2x105 nmn2. The constant is known as modulus of elasticity or youngs modulus or elastic modulus. 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. Stress and strain study notes for mechanical engineering. Lecture notes on analysis of stress free pdf file sharing. Concepts of stress and strain university of arizona. Ultimate strength the maximum stress the material can withstand based on the original area. 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. Lecture notes mechanics and materials ii mechanical. Kim 1 idealab fundamentals stress and strain transformation.

It is most often plotted using engineering stress and strain measures, because the reference length and crosssectional area are easily measured. But strength models are often intimately related to stress. The above geometrical data the strains will be multiplied by material properties to define a new physical. The true stress is defined as the ratio of the load to the crosssection area at any instant.

Me111 stress, strain and strength stanford university 4 oct 16 9 analysis and design of pressure vessels lecture notes oct 18 10 stress concentrations. Lecture 1 stresses and strains linkedin slideshare. On stress strain curve, proportional limit is shown by p. This lecture includes following topics what is stress. The notes that follow come from several sources and i have tried to eliminate the errors when i find them. 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. Useful solutions for standard problems dartmouth college. Strain energy elastic strain energy, u energy spent by the external forces in deforming an elastic body du0. Concepts of stress and strain one of our principal concerns in this course is material behavior strength. Pdf ce6306 strength of materials som books, lecture. Understanding stress there is a fundamental difference both conceptually and. 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. Definition of stress, stress tensor, normal and shear stresses in axially loaded members. If we require a 3d analysis of materials, we must use a more.

Straindisplacement relations, equilibrium equations, compatibility conditions and airys stress function. The concept of stress, generalized stresses and equilibrium pdf lecture 4. Please do not share or redistribute these notes without permission. Lecture notes, lecture 1 introduction lecture notes, lecture 6 force system resultants lecture notes. Notes for strength of materials som by abhishek apoorv. Bernoullieuler beam theoryfrom lecture 15 cross sections remain plane and perpendicular to the deflection curve of the deformed beam. This lecture includes explanation of stress strain curve of mild steel specimen in tension tested on universal testing machine.