Instability of simply supported square plate with reinforced circular hole in edge compression

Abstract

A method is p rescn tcd for computing the comprcss iv e buckling load of a simply supported elastic rectangula r p latc having a central ci rc ular hole rcinforced by a circular doubler platc . Num erical res ults are presented for six square plates having hol e diamc ters up to onc-half of the platc le ngt h. Comparison of t hese res ults with t hose computed for platcs wit hout holes shows th a t an unreinforced ci rcular hole causcs a re Jati\'cly small rcduction in buck lin g load , and reinforcem ent of a circular holc by a doubler plate c au~es a s ub tan tial increase in buckling load .

Instability in shear of simply supported square plates with reinforced hole

“…In reference [4], an energy method was presented for computing the compressive buckling load of a simply supported elastic rectangular plate having a central circular hole reinforced by a circular doubler plate. This method can also b e used to determine tlie critical shearing stress for simply supported rectangular plates having a central circular hole.…”

“…The stress ratios ()x/T", , ()v/Too and Tx y/Too just prior to buckling may be obtained from reference [4] in the following way. If the origin of coordinates is taken as shown in figure 1, shear stresses along the edges of the plate will be equivalent to tensile stresses acting at the edge of the plate at 8= 45° and equal compressive stresses acting at th e edge of the plate at 1) = -45°.…”

“…If the origin of coordinates is taken as shown in figure 1, shear stresses along the edges of the plate will be equivalent to tensile stresses acting at the edge of the plate at 8= 45° and equal compressive stresses acting at th e edge of the plate at 1) = -45°. The constants F and K of r eference [4] are zero in the case of…”

“…A method is presented in refer ence [4] for determining the instability und er edge compression of a rectangular plate with a reinforced circular hole. The values of cri tical compressive stl"Csses of square plates obtained by this m ethod indicated that, al t hough the bu ckling stress of a plate is reduced only a small amount by the presence of an unreinforcecl hole, r einforcement of the hole causes a substantial increase in the buckling stress.…”

“…Using the method of reference [4], a study is made in this report of the effect of the r einforcement of a circular hole in a square plate on the stability of the plate under shearing loads uniformly distributed along the edges of the plate.…”