The image above represents mass of cylindrical shaft.

To compute for mass of cylindrical shaft, five essential parameters are needed and these parameters are **Factor of Safety (N), Twisting Moment (M), Length of Shaft (L), Density (ρ)** and **Shear Stress at Fracture (τ _{f}).**

The formula for calculating mass of cylindrical shaft:

m = (2NM)^{2/3}(π^{1/3}L)(^{ρ}/_{τf2/3})

Where:

m = Mass of Cylindrical Shaft

N = Factor of Safety

M = Twisting Moment

L = Length of Shaft

ρ = Density

τ_{f} = Shear Stress at Fracture

Let’s solve an example;

Find the mass of cylindrical shaft when the factor of safety is 4, the twisting moment is 2, the length of shaft is 7, the density is 6 and the shear stress at fracture is 10.

This implies that;

N = Factor of Safety = 4

M = Twisting Moment = 2

L = Length of Shaft = 7

ρ = Density = 6

τ_{f} = Shear Stress at Fracture = 10

m = (2NM)^{2/3}(π^{1/3}L)(^{ρ}/_{τf2/3})

m = (2(4)(2))^{2/3} (π^{1/3}(7)) (^{6}/_{102/3})

m = (16)^{2/3} ((1.46)(7)) (^{6}/_{4.64})

m = (6.349) (10.25) (1.29)

m = 84.14

Therefore, the **mass of cylindrical shaft **is **84.14 kg.**

Continue reading How to Calculate and Solve for Mass of Cylindrical Shaft | Material Selection