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The normal and shear stress components are shown in the image below acting on a 3d stress element that represents a single point within the body The following two are good references, for examples They can also be written in a matrix form, which is called the stress tensor.
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This method is commonly used by engineers to graphically analyze principal stress and maximum shear stresses. You can know about the theory of mohr's circles from any text books of mechanics of materials In this video i discuss the concept of a stress element, combined stress and 6 equations to calculate the maximum shear and principle stresses to create the 3 stress elements.
Mohr’s circle is a geometric representation of plane (2d) stress transformation and allows us to quickly visualize how the normal (σ) and shear (τ) stress components change as their plane changes orientation.
German physicist otto mohr developed a method to graphically interpret the general state of stress at a point This method is named as mohr’s circle and can be used to evaluate principal stress, maximum shear stresses and normal and tangential stresses at any plane. Each point on the circumference of mohr’s circle represents a certain plane which gives the value of normal stress and shear stress at that plane Therefore the value of normal stress along with the shear stress indicates the particular plane of the object.
The state of plane stress at a point is represented by the element shown in the figure below Determine the state of stress at the point on another element oriented 30° clockwise from the position shown. Stress elements are a useful way to represent stresses acting at some point on a body Isolate a small element and show stresses acting on all faces
Dimensions are “infinitesimal”, but are drawn to a large scale.
Mohr’s circle is graphical tool that commonly used by engineers to graphically analyze the principal stress & maximum shear stresses on any principal plane.
