Biomechanics_course_gw_09 principal stress

Biomechanics_course_gw_09 principal stress - direction...

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Principal stresses Since the stress is mathematically a tensor and its component values depend on coordinate, there exists a particular coordinate, in which, the normal stress is either maximum or minimum. Principal Stresses: the maximum/minimum normal stresses Principal stresses can be calculated simply by using trigonometric identities Shear stress corresponding to principal stresses is always zero A principal state of stress simply imposes extension or compression in principal
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Unformatted text preview: direction without shear stress Maximum shear stresses • Similarly there exists a maximum shear stress τ m as well • Tangents tan2 α s and tan2 α p is negative reciprocals • The difference between α s and α p is π /4 • m occur when normal stresses are equal • However, σ 1 and σ 2 relative to m (i.e. at α = α s ) are not necessarily be zero • m = | σ 1-σ 2 |/2...
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This note was uploaded on 02/08/2012 for the course BMEN 260 taught by Professor Mr.wang during the Spring '12 term at South Carolina.

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Biomechanics_course_gw_09 principal stress - direction...

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