A Theory for the Plastic Design of Ship Plating Under Uniform Pressure

Thein Wah

doi:10.5957/jsr.1960.4.3.17

A Theory for the Plastic Design of Ship Plating Under Uniform Pressure

Journal of Ship Research ◽

10.5957/jsr.1960.4.3.17 ◽

1960 ◽

Vol 4 (03) ◽

pp. 17-24

Author(s):

Thein Wah

Keyword(s):

Rectangular Plate ◽

Theoretical Investigation ◽

Uniform Pressure ◽

Plastic Design ◽

Elastic Range

A theoretical investigation is made of the behavior of a long rectangular plate loaded laterally beyond the elastic range of the material. The study takes into account the effects of the following phenomena:Initial deflections;initial locked-in moments; anddisplacements of the edges, in the plane of the plate. The proposed method permits the design of plates based on allowable deflections under working loads and allowable permanent sets.

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Design of Long Rectangular Elasto-Plastic Plates

Journal of Ship Research ◽

10.5957/jsr.1961.5.4.16 ◽

1961 ◽

Vol 5 (04) ◽

pp. 16-33

Author(s):

Thein Wah

Keyword(s):

Strengthening Effect ◽

Rectangular Plates ◽

Uniform Pressure ◽

Analysis And Design ◽

Elastic Range ◽

Salient Features

In a previous paper3 a theory was derived for the analysis of rectangular plates loaded with a uniform pressure and beyond the elastic range of the material. The theory took into account the strengthening effect of membrane tensions in the plane of the plate, the effects of edge displacements and of initial deflections and locked-in moments which might exist in the plate. In the present paper the salient features of the theory are put in the form of charts and tables for convenience in analysis and design.

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8) Rectangular Plate under uniform pressure, built in elastic structures.

Transactions of the Institute of Japanese Architects ◽

10.3130/aijsaxxxx.13.0_58 ◽

1939 ◽

Vol 13 (0) ◽

pp. 58-67

Author(s):

Yosikatu Tuboi

Keyword(s):

Rectangular Plate ◽

Uniform Pressure ◽

Elastic Structures

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Elastic Deformations of Strips and Circular Plates Under Uniform Pressure

Journal of Applied Mechanics ◽

10.1115/1.3171874 ◽

1986 ◽

Vol 53 (4) ◽

pp. 873-880

Author(s):

S. Im ◽

R. T. Shield

Keyword(s):

Rectangular Plate ◽

Small Strain ◽

Structural Theory ◽

Thin Plates ◽

Elastic Behavior ◽

Uniform Pressure ◽

Circular Plates ◽

Consistent Theory ◽

Elastic Deformations ◽

Linear Elastic

A consistent theory for linear elastic behavior in which the strains are small but in which the displacements and rotations can be large is applied to the bending of a long rectangular plate and of a circular plate by uniform pressure. Within the range of small-strain, linear elastic behavior, the theory provides solutions for all slenderness ratios of the plates and magnitudes of the loading. Thus the theory bridges the gap between the classical theory and the nonlinear structural theory of Fo¨ppl and von Ka´rma´n. The results show that the von Ka´rma´n equations provide accurate solutions for thin plates for which deflections are not small.

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