German civil engineer otto mohr developed this method from the good ol stress transformation equations. Pdf software for stresses and mohrs circle computation. Strength of materials by rk bansal pdf free download. Mohrs circle, invented by christian otto mohr, is a twodimensional graphical representation of the transformation law for the cauchy stress tensor.
It is developed to help students visualize the state of stress at a point and to. Anyone in the mechanical sciences is likely familiar with mohrs circle a useful graphical technique for finding principal stresses and strains in materials. If the shear axis is positive downwards, apply the rules on planes a 2 and b 2. Strength of materials mechanics of materials mechanicalc. The mohr circle explained in less than 10 minutes duration. This video explains what mohrs circle is and how to draw it from a given state of stress. Enrol today in our site and get access to our study package comprising of video lectures, study material, practice questions and test series with doubt support for civil.
Point d represents the stresses on the x1 face of the inclined element. Mohr s circle mohr s circle is a graphical representation of the given state of plane stress on an element. Strength of materials deals with analyzing stresses and deflections in materials under load. For stress tens ors, mohrs circle can be used to visualize and to determine graphically the normal and shear stresses acting on a plane of any given orientation. Part of mechanics of materials for dummies cheat sheet.
For the love of physics walter lewin may 16, 2011 duration. The circle has a radius equal to the magnitude of the extreme shear stresses. Intro and derivation mohrs circle is a geometric representation of plane 2d stress transformation and allows us to quickly visualize how the normal. Mohrs circle equation the circle with that equation is called a mohrs circle, named after the german civil engineer otto mohr. Mohrs circle is not just for stress tensors, but it is typically taught in only that context in introductory materials mechanics c ourses. Mohrs circle is often used in calculations relating to mechanical engineering for materials strength, geotechnical engineering for strength of. Software has been developed for stress and mohr s circle computation, transformation and sensitivity analysis. Stress is proportional to strain in the elastic region of the materials.
979 991 905 759 783 413 160 1295 1211 83 1219 914 1254 229 731 251 283 21 382 176 1128 1212 992 1560 1302 810 1232 375 788 39 962 394 13 515