TY - CHAP
T1 - Sectional Shape Functions of Thin-Walled Beams with General Cross-Section Shapes
AU - Kim, Yoon Young
AU - Jang, Gang Won
AU - Choi, Soomin
N1 - Publisher Copyright:
© 2023, Springer Nature Singapore Pte Ltd.
PY - 2023
Y1 - 2023
N2 - In Chaps. 4, 5, 6, 7, the shape functions of the deformable section modes of a box beam were derived in an approach with three key steps. Recursive equations derived in a differential form were integrated edgewise to find sectional shape functions. To determine the unknown coefficients and integration constants of the sectional shape functions, the geometric symmetry of a rectangular cross-section, continuity of field quantities at every corner of the section, and orthogonality conditions were used. However, as the conditions of geometric symmetry are mostly not available for a cross-section with a general shape, we need to find new conditions to determine the unknowns.
AB - In Chaps. 4, 5, 6, 7, the shape functions of the deformable section modes of a box beam were derived in an approach with three key steps. Recursive equations derived in a differential form were integrated edgewise to find sectional shape functions. To determine the unknown coefficients and integration constants of the sectional shape functions, the geometric symmetry of a rectangular cross-section, continuity of field quantities at every corner of the section, and orthogonality conditions were used. However, as the conditions of geometric symmetry are mostly not available for a cross-section with a general shape, we need to find new conditions to determine the unknowns.
UR - http://www.scopus.com/inward/record.url?scp=85159859964&partnerID=8YFLogxK
U2 - 10.1007/978-981-19-7772-5_9
DO - 10.1007/978-981-19-7772-5_9
M3 - Chapter
AN - SCOPUS:85159859964
T3 - Solid Mechanics and its Applications
SP - 271
EP - 317
BT - Solid Mechanics and its Applications
PB - Springer Science and Business Media B.V.
ER -