CALCS PROC022
BOX MEMBER, COMBINED LOADING

NOTATION

Bbreadth-top & bottom plates
Ddepth-between top & bottom flange plates outer surface
bbreadth-between web plates outer surfaces
ddepth-web plates
Tt Tb Tsthickness, top bottom & side plates
Px Py Pzforce-applied-parallel to x y & z axes
Mx My Mzmoment-parallel to x y & z axes
Aarea-cross section
1MAz'1st moment of area-on axis thru bottom plate top surfa
1MAzabove lateral z neutral axis
1MAyto right of vert y axis
ybary coord-of z axis from bottom plate top surface
Abathoarea-batho shear flow
Iz Iy2MofA-about z & y axes
yt yby coords of top (& bottom) plate mid plane from NAs
fa.tr .br .bl .tldirect stress, top right , bottom right, bottom left & top left
fs.r .b .l .tright bottom left & top

APPLICATION

Four sided rectangular box beam type member

OUTPUT

Direct, shear & batho shear stresses

SEE ALSO

BAS007 BAS008 PROC4 PROC030 PROC035 PROC036 PROC039

THEORY

Engineer's Theory of Bending

GUIDANCE

Member depth D not presently part of formulation

INPUT FORMAT

LET Nm=:Nk=:B=:D=:b=:d=:Tt=:Tb=:Ts=:Px=:Py=:Pz=:Mx=:My=:Mz=:PROC022

EXAMPLE

Call Statement

LET Nm=1:Nk=1:B=10.6:D=19.3:b=10.6:d=15.3:Tt=2.5:Tb=1.5: Ts=.9:Px=21:Py=10.3:Pz=5.6:Mx=357:My=109:Mz=146:PROC022

Output

PROC022 MEMBER, BOX, COMB.LOADS, Rev 020399
A= B*(Tt+Tb)+2*d*Ts= 69.94
MAZ1= B*Tt*(d+Tt/2)+2*d^2*Ts/2-B*Tb^2/2= 637.3
ybar= MAZ1/A= 9.113
MAz1= B*Tt*(d+Tt/2-ybar)+2*Ts*(d-ybar)^2/2= 231.5
MAy1= d*Ts*(b-Ts)/2+B^2*(Tt+Tb)/8= 123
Abatho= (b-Ts)*(d+Tt/2+Tb/2)= 167.8
Iz= B*Tt*(d+Tt/2)^2+2*Ts*d^3/3+B*Tb^3/3-A*ybar^2= 3612
Iy= 2*d*Ts*(b-Ts)^2/4+(Tt+Tb)*B^3/12= 1045
yt= d+Tt/2-ybar= 7.437
yb= ybar+Tb/2= 9.863
ftr= (Px/A+(-Mz*yt/Iz+My*B/(2*Iy)))= 0.5525
fbr= (Px/A+(+Mz*yb/Iz+My*B/(2*Iy)))= 1.252
fbl= (Px/A+(+Mz*yb/Iz-My*B/(2*Iy)))= 0.146
ftl= (Px/A+(-Mz*yt/Iz-My*B/(2*Iy)))= -0.5533
fsr= (Py*MAz1/(2*Ts*Iz)-Mx/(2*Ts*Abatho))= -0.815
fsb= (Pz*MAy1/(2*Tb*Iy)-Mx/(2*Tb*Abatho))= -0.4894
fsl= (Py*MAz1/(2*Ts*Iz)+Mx/(2*Ts*Abatho))= 1.549
fst= (Pz*MAy1/(2*Tt*Iy)+Mx/(2*Tt*Abatho))= 0.5573
UF= fd/(Kd(Nk)*Fy(Nm))= 0.5338
UF= fs/(Ks(Nk)*Fy(Nm))= 1.1391.139
END022