NASA NACA-TR-733-1942 Critical Compressive Stress for Flat Rectangular Plates Supported Along All Edges and Elastically Restrained Against Rotation along the Unloaded Edges《每个边角都被支.pdf

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1、REPORT No. 733CRITICAL COMPRESSIVE STRESS FOR FLAT. RECTANGULAR PLATES SUPPORTEIi -ALONG ALL EDGES AND EMETICALLY RESTRAINED AGAINSTROTATION ALONG THE UNLOADED EDGESBy EUGENEE. LUNDWJISTandELBBIDGEZ. 8TOWELLSUMMARYA chart is preentedfor th dues of fi coejicient inthe jorrnufa for tlu witical compres

2、tiw strew at whichtiwkling may be expeed to omur in $at rectangularplates supported along all edges and, in adddion, e.lwti-tally restrainedagainst Tot. dm-A1+9+x+iYIJB-”).(B-n)ri!=lF (B-12) its critical value a. From this substitution, . . . .It is permissible to substitute these va ues in t,= )+;(

3、+$y.Equation (B-14) was used to calculate the wdues ofk listed in the columns (a) of table 11. With these valuesof k as a guide, a number of correct values of k wereobtained by satisfying equation (A21) of appendix A.In this manner the errom in k as gien by equation(B-14) were established at isolate

4、d points. From thisknovdedge of the errors, corrections were made to allthe values of k given in cohums (a) of table II. Thesecomected wduee of k, which are recorgmended, are Iiatedin the cohunns (b of table II. The recommendedvalues of k were used in the construction of figures 3and 6.REFERENCES1.

5、HilI,H. N.: Chartfor CritiosICompressiveStremof FlatReotaugularPIatss. T. N. No. 773, NACA, 1940.2. Lundqtit, Eugene E.: Local ImtabiIity of SymmetricalRectangular Tubes under Axial Comprion. T. N. Nw686, NACA, 1939.3. Lundquist, Eugene E.: Local InetabiIity of Cent.ralIy Loadedcolumns of Channel Se

6、ction and Z-Seetion. T. N. No.722, NACA, 1939.4. Stowef.1,Elbridge Z., and Imndquiet, Eugene E.: Local Ineta-Mity of columns with I-, Z-, Channel, and RectanguIar-Tube sections. T. N. No. 743, NACA, 1939.5. Lundquist, Eugene E., and Stowefl, Elbridge !3.: Criticalcompressive Strsse for Outstanding F

7、fa.ngm. Rep. No.734, NACA, 1942.6. T1moshenko, S.: Theory of Elastic Stabifity. McGraw-HiUBook Co., Inc., 1936.7. OsgooL 951 .4U61 L 4891 6.181 h IN h k“ lL911 tilw % :% := !J 7.865 :L :g 9. 3M 0. wIlam 6.866 7.465 a 14i7. 2L4 z 212 7.831 t7. b-i 8.020 : T ;g Q.4s4 .7.613 7. m7 8.224 am Q.022 9. %23

8、7.972 7.935 8. 75S 8. im 3& 8. MQ 9: Ozl .9.148 eQ.143&619 9.615 %s09&s&s 8.s. , 0. iBI 0. ix!9.055u.m a NMewl K#m0.m 9. m.,-.-a71 Vduas obtdned fromthe m?rgy method. b Eemmnended values. =VaIues obtalmxi from the exaec sotuton M the dUTwwntlalequation.Provided by IHSNot for ResaleNo reproduction or networking permitted without license from IHS-,-,-