CALCS PROC019
CYLINDER, COMBINED LOADING

NOTATION

Dodiameter-outer
Tthickness-cylinder wall
Pxforce-axial
Pyforce-transverse & axial
Mzmoment-about transverse axis
Kcrstability constant, bending
Kbstress, stability critical, bending
Fcrbstress, allow, crit, bend
fa+bstress, axial+bend

APPLICATION

Thin walled Low aspect ratio cylinder

OUTPUT

Axial, bending & shear stresses & bending stability

SEE ALSO

PROC042

THEORY

see proc & LR LAME Code Ch3 Para2.23

GUIDANCE

Formula for Fcrb varies with Fcrb > or < .5*Fy. Axial stress stability not yet included.

INPUT FORMAT

LET Nm=:Nk=:Do=:T=:Px=:Py=:Mz=:PROC019

EXAMPLE

Call Statement

LET Nm=1:Nk=1:Do=195:T=2.3:Px=780:Py=235:Mz=7.8E4:PROC019

Output

PROC019 MEMBER, CYLINDER, COMB.LOADING, Rev 220995
R= (Do-T)/2= 96.35
fa= Px/(PI*(Do-T)*T)= 0.5602
fb= Mz*(2^2/(PI*(Do-T)^2*T))= 1.163
fab= fa+FNsgn(Px,Mz)*fb= 1.723
fs= Py*.363/((Do-T)*T)= 0.1925
Kb= 5.961E-10*(R/T)^4-1.146E-7*(R/T)^3+1.222E-5*(R/T)^2-7.257E-4*(R/T)^1+2.265E-2= 7.105E-3
Fcrb= Kb*E(Nm)= 14.71
Fcrb= Fy(Nm)*(1-Fy(Nm)/(4*Kb*E(Nm)))= 3.292
UF= ABS(fab)/(Kd(Nk)*Fy(Nm))= 0.7348
UF= ABS(fb)/(Kcr(Nk)*Fcrb)= 0.5272
UF= fs/(Ks(Nk)*Fy(Nm))= 0.1415
END019