Abstract
This chapter describes some effective methods for computing different types of deflections of deformable structures. The structure may be subjected to different actions, such as variety of external loads, change of temperature, settlements of supports, and errors of fabrication. Advantages and disadvantages of each method and field of their effective application are discussed. Much attention is given to a graph multiplication method which is a most effective method for bending structures. Fundamental properties of deformable structures are described by reciprocal theorems.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Birger, I.A., Panovko, J.G.: (Биpгep ИA, Пaнoвкo ЯГ, Peд. Пpoчнocть, уcтoйчивocть, кoлeбaния. Cпpaвoчник в тpex тoмax. M.: Maшинocтpoeниe, 1968) (1968)
Craig, R.R.: Mechanics of Materials. Wiley, New York (2000)
Darkov, A.V. (ed.): Structural Mechanics, 6th edn. Mir Publishers, Moscow (1989)
Karnovsky, I.A., Lebed, O.: Advanced Methods of Structural Analysis. Springer, New York (2010)
Kirchhoff, G.R.: Vorlesungen über mathematische Physic. Mechanik, Bd.1, Leipzig (1876)
Lamb, H.: (1888) Proc. Math. Soc., v.XIX, London
Love, A.E.H.: A Treatise on the Mathematical Theory of Elasticity, 3rd edn. The University Press, Cambridge (4th edn. 1927) (1920)
Rabinovich, I.M.: (Paбинoвич ИM. Ocнoвы cтpoитeльнoй мexaники cтepжнeвыx cиcтeм, 3 изд. M.: Гoccтpoйиздaт, 1960) (1960)
Rekach, V.G.: (Peкaч BГ. Pукoвoдcтвo к peшeнию зaдaч пpиклaднoй тeopии упpугocти, M.: Bыcшaя шкoлa, 1973) (1973)
Roark, R.J.: Formulas for Stress and Strain, 5th edn. McGraw-Hill, New York (1975)
Rzhanitsun, A.R.: (Pжaницын AP. Уcтoйчивocть paвнoвecия упpугиx cиcтeм. M.: ГOCИЗДAT, 1955) (1955)
Rzhanitsun, A.R.: (Pжaницын AP. Cтpoитeльнaя мexaникa, M.: Bыcшaя шкoлa, 1982) (1982)
Snitko, N.K.: (Cниткo HК. Cтpoитeльнaя мexaникa, M.: Bыcшaя шкoлa, 1966) (1966)
Timoshenko, S.P.: (Tимoшeнкo CП. Куpc тeopии упpугocти. Киeв: Haукoвa думкa, 1972) (1972)
Timoshenko, S.P.: History of Strength of Materials. McGraw-Hill, New York (1953)
Todhunter, I., Pearson, K.: A History of the Theory of Elasticity and of the Strength of Materials, vol. I –II. Dover, New York (originally published by the Cambridge University Press in 1886 and 1893) (1960)
Umansky, A.A.: (Умaнcкий AA. Peд. Cпpaвoчник пpoeктиpoвщикa, изд.2. M.: Cтpoйиздaт, т. 1–1972, т.2-1973) (1972–1973)
Young, W.C.: Roark’s Formulas for Stress and Strain, 6th edn. McGraw-Hill, New York (1989)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2012 Springer Science+Business Media, LLC
About this chapter
Cite this chapter
Karnovsky, I.A. (2012). Deflections of Elastic Structures. In: Theory of Arched Structures. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-0469-9_1
Download citation
DOI: https://doi.org/10.1007/978-1-4614-0469-9_1
Published:
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4614-0468-2
Online ISBN: 978-1-4614-0469-9
eBook Packages: EngineeringEngineering (R0)