Equal Weight Solid Shaft and Hollow Shaft of Same Length Formula and Calculator

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Equal Weight Solid Shaft and Hollow Shaft of Same Length Formula and Calculator

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Equal Weight of Solid Shaft Vs. Hollow Shaft of Same Length Formula and Calculator

When materials of both shafts are same
Eq. 1
D = D_o ( 1 - K⁴ )^(1/2)

When materials of shafts are different
Eq. 2
D = D_o { ( 1 - K⁴ ) ( w_h / w_s ) }^(1/2)

Eq. 3
ratio of inner to outer diameter of hollow shaft
K = D_i / D_o

Eq. 4
Weight of hollow shaft
w_h = π [ ( D_o / 2 )² - ( D_i / 2 )² ] L ρ

Eq. 5
Weight of solid shaft
w_s = π ( D_o / 2 )² ] L ρ

D_o / 2 = radius of outer diameter
D_i / 2 = radius of inner diameter

Where

D_o = outside diameter of hollow shaft, m (in)
D_i = inside diameter of hollow shaft, m (in)
D = diameter of solid shaft, m (in)
K = ratio of inner to outer diameter of hollow shaft
w_h = weight hollow shaft, N (lbf)
w_s = weight of solid shaft, N (lbf)
ρ = density kg / m³ , (lbs / in³ )
L = length of cylinder

Figure 1 Hollow and Solid Shaft Dimensions Declarations

References

1. Lingaiah, K., and B. R. Narayana Iyengar, Machine Design Data Handbook, Engineering College Cooperative, Bangalore, India, 1962.