TY - JOUR
T1 - Bending of an axially constrained beam
AU - Parnes, R.
N1 - Funding Information:
* The results presented in this paper are part of an investigation which was supported by the National Aeronautics and Space Administration under Grant NGR-33-013-039 at the City College/CUNY.
Funding Information:
Van Nostrand, New York (1957). 2. H. SWITZKY, AIAA Journal 2, 109 {1964). 3. R. LIEBOLD, Z. Angew. Math. Mech. 28, 247 (1948). 4. R. F~ISCH-FAY, Australian J. appl. Sci. 12, 453 (1961). 5. R. P~N~s, NASA Report 70-337-08, Grant No. NGR-33-013-039 (May 1970).
PY - 1971/4
Y1 - 1971/4
N2 - In the elementary theory of bending of beams, the neutral surface is assumed to be inextensible and free relative longitudinal motion of the ends of the beam is permitted. In the present analysis, the bending of a pin-connected beam due to lateral loads is considered under conditions that no such relative end displacements are permitted to occur, thereby giving rise to a stretching of the neutral surface under induced axial constraint forces. The problem then becomes essentially non-linear since the forces of constraint themselves depend on the lateral deflection of the beam. Resulting axial constraint forces, lateral displacements and moments in the beam are determined in terms of a single parameter depending on both the applied load intensity and slenderness of the beam.
AB - In the elementary theory of bending of beams, the neutral surface is assumed to be inextensible and free relative longitudinal motion of the ends of the beam is permitted. In the present analysis, the bending of a pin-connected beam due to lateral loads is considered under conditions that no such relative end displacements are permitted to occur, thereby giving rise to a stretching of the neutral surface under induced axial constraint forces. The problem then becomes essentially non-linear since the forces of constraint themselves depend on the lateral deflection of the beam. Resulting axial constraint forces, lateral displacements and moments in the beam are determined in terms of a single parameter depending on both the applied load intensity and slenderness of the beam.
UR - http://www.scopus.com/inward/record.url?scp=34249909131&partnerID=8YFLogxK
U2 - 10.1016/0020-7403(71)90053-1
DO - 10.1016/0020-7403(71)90053-1
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AN - SCOPUS:34249909131
SN - 0020-7403
VL - 13
SP - 285
EP - 290
JO - International Journal of Mechanical Sciences
JF - International Journal of Mechanical Sciences
IS - 4
ER -