Large Deflection Analysis for a Plate Strip Subjected to Normal Pressure and Heating

1955 ◽  
Vol 22 (4) ◽  
pp. 458-464
Author(s):  
M. L. Williams

Abstract Large deflection analysis is carried out to determine the deflections and membrane stresses for an infinite strip when subjected to pressure and temperature variations across the width of the strip with the end points fixed in space. Results are graphed for both clamped and simply supported edge conditions in the case of uniform temperature T0, and uniform pressure p0. The calculations also include the possible thermal buckling deflections. In the limit case of a membrane of width b and thickness h, subjected to this loading condition, the central deflection w0 is determined from the simple relation [ ( w 0 / h ) 2 - 3 8 ( 1 + ν ) ( b / h ) 2 α T 0 ] ( w 0 / h ) = p 0 b 4 / ( 256 D h )

1958 ◽  
Vol 25 (2) ◽  
pp. 251-258
Author(s):  
M. L. Williams

Abstract In an earlier paper (1) an analysis was carried out to determine the stresses and deflection in an infinite strip plate undergoing large deflections when the plate was subjected to a combined normal loading and uniform temperature rise through the thickness, both of which were permitted to vary across the plate width. This paper extends the analysis and design charts to the case where the temperature distribution through the thickness of the plate may have any desired distribution. If the usual plate assumptions regarding plane sections remaining plane are valid, then the arbitrary temperature distribution can be represented completely by the average temperature and the first moment of the temperature about the plate middle surface, as far as the engineering stresses and deflections are concerned. The convenient nondimensional design charts cover equilibrium positions in the buckling as well as nonbuckling range and show maximum stress and central deflection as a function of pressure, average temperature, and temperature moment for cases of both clamped and simply supported edges.


1977 ◽  
Vol 44 (3) ◽  
pp. 509-511 ◽  
Author(s):  
P. K. Ghosh

The problem of large deflection of a rectangular plate resting on a Pasternak-type foundation and subjected to a uniform lateral load has been investigated by utilizing the linearized equation of plates due to H. M. Berger. The solutions derived and based on the effect of the two base parameters have been carried to practical conclusions by presenting graphs for bending moments and shear forces for a square plate with all edges simply supported.


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