Straight, Single‐Tapered Composite I‐Beams of Orthotropic Materials
Publication: Journal of Materials in Civil Engineering
Volume 4, Issue 4
Abstract
Design methods for tapered members of multiple materials with nonrectangular cross sections are not available. This finite‐element study of straight, single‐tapered I‐beams was conducted to aid in developing a rational design method for nonprismatic, I‐shaped structural members of layered orthotropic materials. Particular emphasis is placed on wood composites. Taper geometry is considered in concert with the elastic constants of the web substrate. Comparisons of the stresses and deflections in a prismatic beam and a tapered beam of the same average depth and having the same elastic properties for the web are used to identify potential design considerations. The bending, vertical, and shear stress maximums are greater in the tapered beam than in the prismatic beam. In addition, the stresses are distributed differently if the beam is tapered rather than prismatic. For example, the maximum shear stress is not necessarily in the web. Deflection of the tapered member is 19% greater and occurs at 0.43L rather than at midspan.
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References
1.
ANSYS‐PC/LINEAR 4.3, Reference manual. (1988). Swanson Analysis Systems, Inc., Houston, Pa.
2.
Bodig, J., and Jayne, B. A. (1982). Mechanics of wood and wood composites. Van Nostrand Reinhold Co., Inc., New York, N.Y.
3.
Bogy, D. B. (1968). “Edge‐bonded dissimilar orthogonal elastic wedges under normal and shear loading.” J. Appl. Mech., 90(Sept), 460–466.
4.
Bogy, D. B. (1971). “Two edge‐bonded elastic wedges of different materials and wedge angles under surface tractions.” J. Appl. Mech., 93(Jun.), 377–386.
5.
Booth, L. G. (1977). “Shear deflection in box and I‐beams formed of flanges and webs with different bending and shear moduli.” J. Inst. Wood Sci., 7(6), 37–44.
6.
Chong, K. P., Swanson, W. D., and Matlock, R. B. (1976). “Shear analysis of tapered beams.” J. Struct. Div., ASCE, 102(9), 1781–1788.
7.
Davies, G., Lamb, R. S., and Snell, C. (1973). “Stress distribution in beams of varying depth.” Struct. Engrg., 51(11), 421–434.
8.
Design and fabrication of plywood‐lumber beams. (1983). American Plywood Assoc., Tacoma, Wash.
9.
Gradin, P. A. (1982). “A fracture criterion for edge‐bonded bimaterial bodies.” J. Compos. Mat., 16(6), 448–456.
10.
Groth, H. L., and Brottare, I. (1989). “Apparent stiffness of a butt joint with a thick adhesive layer and elastic‐plastic adhesives.” J. Test. Eval., 17(2), 131–134.
11.
Gutkowski, R. M., Dewy, G. R., and Goodman, J. R. (1982a). “Full‐scale tests on double‐tapered glulam beams.” J. Struct. Div., ASCE, 108(10), 2131–2148.
12.
Gutkowski, R. M., Dewy, G. R., and Goodman, J. R. (1982b). “Full‐scale tests on single‐tapered glulam members.” J. Struct. Div., ASCE, 108(10), 2149–2161.
13.
Haritos, G. K., and Keer, L. M. (1980). “Stress analysis for an elastic half space containing an embedded rigid block.” Int. J. Solids Struct., 16, 19–40.
14.
Haritos, G. K., and Keer, L. M. (1985). “Pullout of arigid insert adhesively bonded to an elastic half plane.” J. Adhes., 18(2), 131–150.
15.
Hoyle, R. J., Jr. (1986). “Design of composite beams.” Wood: Engineering design concepts, A. Freas, R. C. Moody, and L. A. Soltis, eds., Pennsylvania State University, University Park, Pa., 225–290.
16.
Jayne, B. A., and Tang, R. C. (1970). “Power series stress function for anisotropic and orthotropic beams.” Wood and Fiber, 2(2), 96–104.
17.
Jones, R. M. (1975). Mechanics of composite materials. Scripta Book Co., Washington, D.C.
18.
Keer, L. M., and Chantaramungkorn, K. (1975). “An elastic half plane weakened by a rectangular trench.” J. Appl. Mech., 42(3), 683–687.
19.
Kollmann, F. F. P., and C⊚té, W. A. (1968). Principles of wood science and technology, Vol. 1, Solid wood. Springer‐Verlag, Inc., New York, N.Y.
20.
Kuenzi, E. W., and Wilkinson, T. L. (1971). “Composite I‐beams: Effect of adhesive or fastener rigidity.” USDA Forest Service Research Paper FPL 152, Forest Products Laboratory, Madison, Wis.
21.
Leichti, R. J. (1986). “Assessing the reliability of wood composite I‐beams,” PhD thesis, Auburn University, Auburn, Ala.
22.
Leichti, R. J. (1990). “Straight, single‐tapered I‐beams of orthotropic materials—a finite element appraisal,” MS thesis, Auburn University, Auburn, Ala.
23.
Leichti, R. J., and Tang, R. C. (1983). “Analysis of wood composite I‐beams with glued flange‐web joints.” Spring Conf., Proc., Society for Experimental Stress Analysis, Brookfield Center, Conn., 45–50.
24.
Lekhnitskii, S. G. (1968). Anisotropic plates. Gordon and Bach, Science Publishers, Inc., New York, N.Y.
25.
Load and resistance manual of steel construction. (1986). 1st Ed., Amer. Inst. Steel Constr. (AISC), Inc., Chicago, Ill.
26.
Maki, A. C., and Kuenzi, E. W. (1965), “Deflection and stresses of tapered wood beams.” USDA Forest Service Research Paper FPL 34, Forest Products Laboratory, Madison, Wis.
27.
Schreyer, H. L. (1978). “Elementary theory for linearly tapered beams.” J. Struct. Div., ASCE, 104(3), 515–527.
28.
Tang, R. C. (1972). “The effect of shear and Poisson's ratio in the static bending of wood beams.” Wood Sci. Technol., 6, 302–313.
29.
Timber construction manual. (1985). 3rd Ed., John Wiley and Sons, New York, N.Y.
30.
Timoshenko, S. P. (1956). Strength of materials, Part II. Van Nostrand Co., Inc., Princeton, N.J.
31.
Tsai, S. W. (1988). Composite design. 4th Ed., Think Composites, Dayton, Ohio.
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Copyright © 1992 ASCE.
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Published online: Nov 1, 1992
Published in print: Nov 1992
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