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Text-book of mechanics (1906)

Martin, Louis Adolphe, 1880- · New York, J.Wiley & Sons, Inc.: [etc. etc.] · leaf 174

An illustration from Text-book of mechanics, 1906, leaf 174
obtained. Exercise 174. Find the x and y components of the resul-tant stress S directly from the values of p and q in terms ofpi, p2, and a. STRESS, STRAIN, AND ELASTIC FAILURE *53 The x and y components of S as obtained fromEx. 174 are pj = - pi sin a and py = - p2 cos a. If these values are… … Therefore, the locus of P for all inclinations of theplane AB is an ellipse whose center is at the point atwhich the stresses are considered and whose semi-axesare equal in magnitude to and coincide in direction withthe principal stresses at this point. From the above discussion a geometrical…

Mechanics

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