A review of shear stress sign convention in interpreting Mohrs circle

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Publication Type pre-print
School or College College of Engineering
Department Civil & Environmental Engineering
Creator Lawton, Evert C.
Other Author Merry, Scott M.
Title A review of shear stress sign convention in interpreting Mohrs circle
Date 2012-01-01
Description The pole of planes method is a popular technique for interpreting Mohr's circle to determine the stresses (normal and shear) on planes of differing rotations in 2-D space. A survey of undergraduate textbooks on soil mechanics shows differing viewpoints on the sign convention for interpreting the shear stresses. This paper makes a rigorous evaluation of the consequences of using a clockwise (CW) or counterclockwise (CCW) positive sign convention for the proper interpretation of Mohr's circle of stresses. In either case, the shear stress axis is considered positive upwards while the normal stress axis is considered positive to the right. It was found that if the shear stresses acting on an element are considered CW positive, the resulting stresses found on a rotated plane do not satisfy static equilibrium. However, the stresses determined using a CCW sign convention do satisfy static equilibrium and hence, if the pole method is to be used to interpret Mohr's circle for stresses, a CCW positive sign convention for shear stresses must be used.
Type Text
Publisher American Society of Civil Engineers
First Page 1263
Last Page 1272
Language eng
Bibliographic Citation Merry, S. M., & Lawton, E. C. (2012). A review of shear stress sign convention in interpreting Mohrs circle. Geotechnical Special Publication, 1263-72.
Rights Management (c)American Society of Civil Engineers ; doi: 10.1061/9780784412121.130 ; http://dx.doi.org/10.1061/9780784412121.130
Format Medium application/pdf
Format Extent 363,801 bytes
Identifier uspace,18335
ARK ark:/87278/s69p69kt
Setname ir_uspace
Date Created 2014-02-05
Date Modified 2021-05-06
ID 711182
Reference URL https://collections.lib.utah.edu/ark:/87278/s69p69kt
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