23-1.Axis thickness calculation formula
23-1. Axis thickness calculation formula
Symbol description and unit
(1) Shaft subject to bending
Maru-jiku Round shaft:
d=(32*M/(Î*Ð
a
))
1/3
kmml
d=
Hollow shaft:
d
2
=(32*M/(Î*Ð
a
*(1-k
4
))
1/3
kmml
d
2
=
k: Ratio of inner diameter to outer diameter of the shaft
(k=d
1
/d
2
)
d
1
F Inner diameter of hollow shaftkmml
d
2
F Outer diameter of hollow shaftkmml
MF Maximum bending moment acting on the shaft kkgf¥mml
Ð
a
F Allowable bending stress of the shaft kkgf/mm
2
l
(2) Shaft receiving twist
Round shaft:
d=(16*T/(Î*Ñ
a
))
1/3
kmml
d=
Hollow shaft:
d
2
=(16*T/(Î*Ñ
a
*(1-k
4
))
1/3
kmml
d
2
=
k: Ratio of inner diameter to outer diameter of the shaft
(k=d
1
/d
2
)
d
1
FInner diameter of hollow shaftkmml
d
2
F Outer diameter of hollow shaftkmml
TFMaximum torsional moment acting on the shaft kkgf¥mml
Ñ
a
F Allowable torsional stress of the shaft kkgf/mm
2
l
References: "Machine Official Collection" (co-authored by Masaaki Oishi / Tatsuo Inami) Mechanical Design Shaft Thickness Page 86 Refer to the shaft that receives bending and the shaft that receives twisting.