@article{MAKHILLJEAS2018131216367,
    title = {Shear Deformation in Voided Beams on Elastic Foundations},
    journal = {Journal of Engineering and Applied Sciences},
    volume = {13},
    number = {12},
    pages = {4551-4558},
    year = {2018},
    issn = {1816-949x},
    doi = {jeasci.2018.4551.4558},
    url = {https://makhillpublications.co/view-article.php?issn=1816-949x&doi=jeasci.2018.4551.4558},
    author = {Khalida A.,Raid A. and},
    keywords = {Finite difference,finite element,voided beams,winkler foundation,theories,percentage},
    abstract = {The response of voided beams winkler type foundation interaction is investigated numerically in this
research. The finite difference method is formulated to model beam with different thin and deep theories resting
on elastic springs and programmed in Fortran language. Brick elements and spring elements are used to model
the voided beam and the soil, respectively in ABAQUS finite element software. A comparison with previous
studies is performed to validate the selected numerical method. The void percentage or void dimensions, void
shape, vertical subgrade reaction, beam depth and type of loading are the main study parameters. The
maximum deviation in central deflection between the two numerical methods and exact solution is
recognized to be 5%.}
    }