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    Approximate flexural-extensional relations for steel structural members

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    Author
    Nazar, Serkis
    Date
    1975
    Advisor
    Austin, Walter J.
    Degree
    Master of Science
    Abstract
    The object of this investigation is to propose approximate moment-curvature-axial load-mean strain relations for steel members loaded beyond the yield point by combined bending and axial load, accounting for initial residual stresses induced in the members during their formative hot-rolling or welding processes. Since no exact relations can be found, except for residual stress-free members, with rectangular cross sectional, numerical procedure has been developed for integrating stresses at certain points obtained by dividing the cross-section into small elements. A Newton-Raphson type iterative procedure has been developed for obtaining curvatures and mean strains, given moments and axial loads. Moment-curvature and axial load -mean strain relations, with axial load and moment, respectively held constant. A least-squares procedure has been developed to approximate the curves by simple mathematical functions A hyperbola was found to be the most valuable approximation.
    Citation
    Nazar, Serkis. "Approximate flexural-extensional relations for steel structural members." (1975) Master’s Thesis, Rice University. http://hdl.handle.net/1911/104427.
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    Managed by the Digital Scholarship Services at Fondren Library, Rice University
    Physical Address: 6100 Main Street, Houston, Texas 77005
    Mailing Address: MS-44, P.O.BOX 1892, Houston, Texas 77251-1892