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Creep in Structures pp 161–173Cite as

Oil Canning Problems in Creep

  • Conference paper

Part of the book series: IUTAM Symposia ((IUTAM))

Abstract

The stability of some transversely loaded nearly flat structures on hinged supports is studied, assuming the material to be subject to creep. It is shown that a sudden jump in the equilibrium configuration will occur after a certain time, due to simultaneous compression and bending of the structure.

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Abbreviations

A :

cross sectional area

E :

modulus of elasticity

I :

moment of inertia of cross section

k :

creep rate parameter

K :

dimensionless load parameter = Q L/4 π ϱ S 2 (two-bar system), = Q L/ 4 π ϱ P 2 (curved beam)

L :

length of beam

M :

bending moment

P, S :

compressive axial force

P 2, S 2 :

elastic buckling force

q :

distributed lateral load

Q :

concentrated lateral load

s :

dimensionless force parameter = P/P 2, S/S 2

t :

time

w :

deflection of beam

x :

axial coordinate

z :

dimensionless deflection parameter = (L ϑ/2 π ϱ)2 (two-bar system), = (δ 1/ϱ)2 (curved beam)

δ :

midspan deflection of beam

δ 1, δ 2 :

amplitudes of first and second harmonics in beam deflection

ε :

compressive strain

ϑ :

angle

ϱ :

radius of inertia of cross section = √I/A

σ :

compressive stress

τ :

dimensionless time parameter = E k t

ζ :

dimensionless deflection parameter = (δ/ϱ)2/2 (two-bar system), = (2 δ 2/ϱ)2 (curved beam)

Subscript j :

refers to jump condition

Superscript 00:

refers to the initial state prior to application of load

Superscript 0:

refers to the initial state immediately after application of load

References

  1. Pian, T. H. H.: Creep Buckling of Curved Beaim Under Lateral Loading. 3rd US Congr. Appl. Mech. Proc. (1958) pp. 649–654.

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  2. Marguerre, K.: Neuere Festigkeitsprobleme des Ingenieurs. Berlin/Göttingen/ Heidelberg: Springer 1950, Ch. V.

    MATH  Google Scholar 

  3. Hoff, N. J., and V. G. Bruce: Dynamic Analysis of the Buckling of Laterally Loaded Flat Arches. VIII Int. Congr. Theor. Appl. Mech. Istanbul. J. Math. Phys. XXXII, 276–288 (1952).

    Google Scholar 

  4. Hoff, N. J.: Buckling and Stability. J. Roy. Aer. Soc. 58, 1–52 (1954).

    Google Scholar 

  5. Hult, J.: Creep Buckling of Plane Frameworks. Durand Centennial Conferen ce, Stanford University, Proc. (1960) pp. 227–246.

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Author information

Authors and Affiliations

  1. Royal Institute of Technology, Stockholm, Sweden

    Jan Hult

Authors
  1. Jan Hult
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Editor information

Editors and Affiliations

  1. Stanford University, USA

    Nicholas J. Hoff

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© 1962 Springer-Verlag OHG., Berlin/Göttingen/Heidelberg

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Cite this paper

Hult, J. (1962). Oil Canning Problems in Creep. In: Hoff, N.J. (eds) Creep in Structures. IUTAM Symposia. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-86014-0_9

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  • DOI: https://doi.org/10.1007/978-3-642-86014-0_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-86016-4

  • Online ISBN: 978-3-642-86014-0

  • eBook Packages: Springer Book Archive

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