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Showing posts from September, 2016

Mohr Circle-Part I

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Mohr circle is a graphical method to find the principal stresses, principal planes, maximum shear stress, planes of maximum shear stress, and normal and shear stresses on any inclined plane and at any point. Mohr circle is extensively used in engineering problems because it can give result for any above mentioned quantity quite easily. Consider the following cases: A Cube Image a cube of any specified material in space co-ordinates namely x, y and z respectively and the orientation of these orthogonal axis is specified. Now mark any point which is going to reside inside a cube. Now by specifying that we have consider a point means it is an infinitesimal quantity. Since it is infinitesimal small we ignored its spin along the co-ordinate axis and so the three degree of freedom due to spin is equal to zero. From our marked point infinite number of planes can passed and we wish to find any of our desired stress component along the selected plane. So our Mohr circ

Stresses on Inclined Planes-II

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In our analytical approach, we take several assumptions, and each of these assumptions pushes our problem in hand towards the ideal region, which may help in easily solving our problem but it also fills our solution with many errors. Our whole study of solid mechanics is based on several assumptions, but in real-life problem solving cases, these assumptions cannot be applied. However for the higher level of study we first have to clear our basic fundamentals and then approach to the next level. Giving equal importance to these assumptions is an important practice cause it help to appreciate what is really going on inside our object under observation. In this article we examine the stresses on a inclined plane. Stresses on Inclined Plane- Part II The basic element for analysing stress In my previous article of "Principal Planes and Stresses-Part I" , I have derived the expression for normal and shear stresses due to the effect of normal forces acting on any set of