Analytical mechanics for students of physics and engineering (1913)
Dadourian, Haroutune Mugurditch, 1878- · New York, D. Van Nostrand Company · leaf 195
area, on the upperbase, of a ring of radius r and width dr, then the stress equals dF But if 6 is the angle of twist at the upper 2 vr • dr base and / the length of the cylinder, then the strain equals y. Therefore by Hookes law dF =xrd2irrdr I In this case X is called modulus of shearingelasticity… … Fig. 97. where Q is the total torque applied at the upper end and athe radius of the cylinder. Thus the torque necessary toproduce a given angle of twist varies directly as the fourthpower of the radius and inversely as the length. On theother hand for a given shaft the torque varies directly…
Mechanics, Analytic
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