CALCS PROC035
RECTANGULAR PLATE, ELASTIC STABILITY, COMPRESSION SHEAR BENDING

NOTATION

alength of plate, parallel with the comp & bending stresses
bwidth of plate, normal to comp & bending stresses
beeffective width of plate for bend buckling, normal to bending stresses
tthickness, plate
fd1 fd2direct stresses at edges, greater & lesser
fsshear stress
Kccompressive stability coefficient
Ksshear stability coefficient
Kbbending stability coefficient
Fcccompression critical stress
Fscshear critical stress
Fbcbending critical stress

APPLICATION

Thin webs of generally rectangular shape

OUTPUT

Stability critical stress

SEE ALSO

PROC14 PROC022 PROC031 PROC039

THEORY

Roark5 Table35 Item1a Item4a & LR LAMH Code Para2.22

GUIDANCE

Formula for Fcr varies with Fcr < or > .5*Fy
The conditions for compression & bending buckling are taken to be:
+fd1 +fd2 no buckling
-fd2 & fd1+fd2>=0 then bend buckling, be=2x(etb comp part width)
-fd2 & fd1+fd2<0 then comp & bend buckling, be=b

INPUT FORMAT

LET Nm=:Nk=:a=:b=:t=:fd=:PROC035

EXAMPLE

Call Statement

LET Nm=1:Nk=1:a=53:b=26:t=.6:fc=1.9:PROC035

Output

PROC035 EL.STABILITY, RECT.PLATE, COMPRESSION, Rev 180995
Kc= 3.29= 3.29
Fcr= Kc*E(Nm)*(t/b)^2/(1-v(Nm)^2)= 3.985
Fcr= Fy(Nm)*(1-Fy(Nm)*(1-v(Nm)^2)/(4*Kc*E(Nm)*(t/b)^2))= 2.732
UF= ABS(fd)/(Kcr(Nk)*Fcr)= 0.684
END035