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    Basic Stress and Strain

    Basic Stress

    Normal Stress

    Shear Stress

    Bearing Stress

    Basic Strain

    Poisson's Ratio

    (load in x-

    direction)

    Inclined Plane

    Axial Deformation

    Thermal Expanstion

    Hooke's Law

    1D

    2D

    3D

    or

    1D

    2D

    3D

    where

    Torsion

    Rotation Deformation(twist angle)

    ni!orm Rod

    Thinwalled Shafts

    Stress

    https://ecourses.ou.edu/cgi-bin/eBook.cgi?doc=&topic=me&chap_sec=01.3&page=theoryhttps://ecourses.ou.edu/cgi-bin/eBook.cgi?doc=&topic=me&chap_sec=02.1&page=theoryhttps://ecourses.ou.edu/cgi-bin/eBook.cgi?doc=&topic=me&chap_sec=01.4&page=theoryhttps://ecourses.ou.edu/cgi-bin/eBook.cgi?doc=&topic=me&chap_sec=01.4&page=theoryhttps://ecourses.ou.edu/cgi-bin/eBook.cgi?doc=&topic=me&chap_sec=01.4&page=theoryhttps://ecourses.ou.edu/cgi-bin/eBook.cgi?doc=&topic=me&chap_sec=01.4&page=theoryhttps://ecourses.ou.edu/cgi-bin/eBook.cgi?doc=&topic=me&chap_sec=01.4&page=theoryhttps://ecourses.ou.edu/cgi-bin/eBook.cgi?doc=&topic=me&chap_sec=01.4&page=theoryhttps://ecourses.ou.edu/cgi-bin/eBook.cgi?doc=&topic=me&chap_sec=01.4&page=theoryhttps://ecourses.ou.edu/cgi-bin/eBook.cgi?doc=&topic=me&chap_sec=01.5&page=theoryhttps://ecourses.ou.edu/cgi-bin/eBook.cgi?doc=&topic=me&chap_sec=01.3&page=theoryhttps://ecourses.ou.edu/cgi-bin/eBook.cgi?doc=&topic=me&chap_sec=01.1&page=theoryhttps://ecourses.ou.edu/cgi-bin/eBook.cgi?doc=&topic=me&chap_sec=01.1&page=theoryhttps://ecourses.ou.edu/cgi-bin/eBook.cgi?doc=&topic=me&chap_sec=01.4&page=theoryhttps://ecourses.ou.edu/cgi-bin/eBook.cgi?doc=&topic=me&chap_sec=01.3&page=theoryhttps://ecourses.ou.edu/cgi-bin/eBook.cgi?doc=&topic=me&chap_sec=01.2&page=theoryhttps://ecourses.ou.edu/cgi-bin/eBook.cgi?doc=&topic=me&chap_sec=01.2&page=theoryhttps://ecourses.ou.edu/cgi-bin/eBook.cgi?doc=&topic=me&chap_sec=01.1&page=theory
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    Non-"ni!orm

    Rod

    Torsion Shear Stress

    Polar !oment of Inertia" #

    #ngle o! Twist

    Beam Bending

    LoadShear!oment Relationship

    Bendin$ Stress

    %e&tral Axis

    Transerse Shear Stress

    Rectang"lar $ross Section

    Beam Differential E(&ations

    %oading

    Shear

    &oment

    Rotation(sloe)

    )omposite Beam

    *ns+mmetric Beam

    https://ecourses.ou.edu/cgi-bin/eBook.cgi?doc=&topic=me&chap_sec=06.3&page=theoryhttps://ecourses.ou.edu/cgi-bin/eBook.cgi?doc=&topic=me&chap_sec=06.1&page=theoryhttps://ecourses.ou.edu/cgi-bin/eBook.cgi?doc=&topic=me&chap_sec=05.2&page=theoryhttps://ecourses.ou.edu/cgi-bin/eBook.cgi?doc=&topic=me&chap_sec=05.2&page=theoryhttps://ecourses.ou.edu/cgi-bin/eBook.cgi?doc=&topic=me&chap_sec=05.2&page=theoryhttps://ecourses.ou.edu/cgi-bin/eBook.cgi?doc=&topic=me&chap_sec=05.2&page=theoryhttps://ecourses.ou.edu/cgi-bin/eBook.cgi?doc=&topic=me&chap_sec=04.3&page=theoryhttps://ecourses.ou.edu/cgi-bin/eBook.cgi?doc=&topic=me&chap_sec=04.3&page=theoryhttps://ecourses.ou.edu/cgi-bin/eBook.cgi?doc=&topic=me&chap_sec=01.1&page=theoryhttps://ecourses.ou.edu/cgi-bin/eBook.cgi?doc=&topic=me&chap_sec=04.1&page=theoryhttps://ecourses.ou.edu/cgi-bin/eBook.cgi?doc=&topic=me&chap_sec=04.1&page=theoryhttps://ecourses.ou.edu/cgi-bin/eBook.cgi?doc=&topic=me&chap_sec=05.2&page=theoryhttps://ecourses.ou.edu/cgi-bin/eBook.cgi?doc=&topic=me&chap_sec=02.3&page=theoryhttps://ecourses.ou.edu/cgi-bin/eBook.cgi?doc=&topic=me&chap_sec=02.1&page=theoryhttps://ecourses.ou.edu/cgi-bin/eBook.cgi?doc=&topic=me&chap_sec=02.1&page=theoryhttps://ecourses.ou.edu/cgi-bin/eBook.cgi?doc=&topic=me&chap_sec=02.2&page=theory
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    StressStrain #nalsis

    Stress Transformation

    Principal Stress

    !axim&m Shear Stress

    ,ail&re Anal+sis

    &ax Normal

    &ax Shear

    &ax

    Distortion

    Strain Transformation

    Principal Strain

    !axim&m Shear Strain

    $ol"mns

    )ol&mn B&cklin$ E(&ations-E&ler's ,orm&la.

    Pinned-Pinned

    *ree-*ixed

    Secant ,orm&la

    https://ecourses.ou.edu/cgi-bin/eBook.cgi?doc=&topic=me&chap_sec=09.3&page=theoryhttps://ecourses.ou.edu/cgi-bin/eBook.cgi?doc=&topic=me&chap_sec=09.2&page=theoryhttps://ecourses.ou.edu/cgi-bin/eBook.cgi?doc=&topic=me&chap_sec=09.1&page=theoryhttps://ecourses.ou.edu/cgi-bin/eBook.cgi?doc=&topic=me&chap_sec=08.1&page=theoryhttps://ecourses.ou.edu/cgi-bin/eBook.cgi?doc=&topic=me&chap_sec=08.1&page=theoryhttps://ecourses.ou.edu/cgi-bin/eBook.cgi?doc=&topic=me&chap_sec=08.1&page=theoryhttps://ecourses.ou.edu/cgi-bin/eBook.cgi?doc=&topic=me&chap_sec=07.4&page=theoryhttps://ecourses.ou.edu/cgi-bin/eBook.cgi?doc=&topic=me&chap_sec=07.4&page=theoryhttps://ecourses.ou.edu/cgi-bin/eBook.cgi?doc=&topic=me&chap_sec=07.4&page=theoryhttps://ecourses.ou.edu/cgi-bin/eBook.cgi?doc=&topic=me&chap_sec=07.2&page=theoryhttps://ecourses.ou.edu/cgi-bin/eBook.cgi?doc=&topic=me&chap_sec=07.2&page=theoryhttps://ecourses.ou.edu/cgi-bin/eBook.cgi?doc=&topic=me&chap_sec=07.1&page=theory
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    *ixed-*ixed

    Pinned-*ixed

    Press"re +essels

    )+lindrical Press&re /essel

    Spherical Press&re /essel

    https://ecourses.ou.edu/cgi-bin/eBook.cgi?doc=&topic=me&chap_sec=07.6&page=theoryhttps://ecourses.ou.edu/cgi-bin/eBook.cgi?doc=&topic=me&chap_sec=07.6&page=theoryhttps://ecourses.ou.edu/cgi-bin/eBook.cgi?doc=&topic=me&chap_sec=09.2&page=theoryhttps://ecourses.ou.edu/cgi-bin/eBook.cgi?doc=&topic=me&chap_sec=09.2&page=theory