CALCS PROC059
CIRCULAR SHAFT, SQUARE SHOULDER, BENDING & TENSION SCFs

NOTATION

ssymbol
Dshaft larger diameter
dshaft smaller diameter
hheight, step, from larger to smaller diameter, (D-d)/2
K1 2 3 4coefficient, calculated
Kb Ktstress concentration factors, bending & tension
Mmoment, applied
Pforce, axial tension, applied
rradius, corner fillet

APPLICATION

Load monitoring shear pin. Spigot. Machinery rotating shaft.

OUTPUT

bending & tension stress concentration factors

SEE ALSO

PROC011 PROC061

THEORY

ROARK5 T37, I17a & 17b

GUIDANCE

guidance notes

INPUT FORMAT

LET Nm=:Nk=:d=:D=:r=:P=:M=:h=(D-d)/2:PROC059

EXAMPLE

Call Statement

LET Nm=1:Nk=1:d=6.35:D=10:r=1.5:P=31:M=7.85:h=(D-d)/2:PROC059

Output

PROC059 CIRCULAR SHAFT, SQUARE SHOULDER WITH FILLET, BENDING & TENSION SCFs, 200200
K1= +.927+1.149*SQR(h/r)-.086*h/r= 2.09
K2= +.015-3.281*SQR(h/r)+.837*h/r= -2.586
K3= +.847+1.716*SQR(h/r)-.506*h/r= 2.124
K4= -.790+.417*SQR(h/r)-.246*h/r= -0.6293
Kb= K1+K2*(2*h/D)+K3*(2*h/D)^2+K4*(2*h/D)^3= 1.398
fb= ABS(M)*Kb*(4/(PI*(d/2)^3))= 0.4367
UF= fb/(Kb(Nk)*Fy(Nm))= 0.1862
K1= +0.927+1.149*SQR(h/r)-0.086*h/r= 2.09
K2= +0.011-3.029*SQR(h/r)+0.948*h/r= -2.177
K3= -0.304+3.979*SQR(h/r)-1.737*h/r= 1.972
K4= +0.366-2.098*SQR(h/r)+0.875*h/r= -0.8836
Kt= K1+K2*(2*h/D)+K3*(2*h/D)^2+K4*(2*h/D)^3= 1.515
fd= ABS(P)*Kt/(PI*(d/2)^2)= 1.483
UF= fd/(Kd(Nk)*Fy(Nm))= 0.6324
END059