Consider a change of basis from a Cartesian to the rotated Cartesian frame shown in Fig. 2. By studying the figure, you should recognize that strains €rx, Eyy, Ery, after transformation into the coordinate system rotated by relative to the original coordinate system, are simply Err, E90, Ero at a point (r, 0). Use the change of basis formula for a second-order tensor to write the strain components Err, €00, Ero as a function of €xx, Ery, Exy and 0.
Consider a change of basis from a Cartesian to the rotated Cartesian frame shown in Fig. 2. By studying the figure, you should recognize that strains €rx, Eyy, Ery, after transformation into the coordinate system rotated by relative to the original coordinate system, are simply Err, E90, Ero at a point (r, 0). Use the change of basis formula for a second-order tensor to write the strain components Err, €00, Ero as a function of €xx, Ery, Exy and 0.
International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter1: Introduction To Statics
Section: Chapter Questions
Problem 1.13P: Determine the dimensions of constants A and B far which the following equation is dimensionally...
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