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.**

Nickzom Calculator – **The Calculator Encyclopedia** is capable of calculating the mass of cylindrical shaft.

To get the answer and workings of the mass of cylindrical shaft using the **Nickzom Calculator – The Calculator Encyclopedia. **First, you need to obtain the app.

You can get this app via any of these means:

**Web** – https://www.nickzom.org/calculator-plus

To get access to the **professional **version via web, you need to **register** and **subscribe **for** NGN 2,000 **per** annum** to have utter access to all functionalities.

You can also try the **demo **version via https://www.nickzom.org/calculator

**Android (Paid)** – https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator

**Android (Free)** – https://play.google.com/store/apps/details?id=com.nickzom.nickzomcalculator

**Apple (Paid)** – https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8

Once, you have obtained the calculator encyclopedia app, proceed to the **Calculator Map, **then click on **Materials and Metallurgical **under **Engineering****.**

Now, Click on **Material Selection**** **under **Materials and Metallurgical**

Now, Click on **Mass of Cylindrical Shaft **under **Material Selection**

The screenshot below displays the page or activity to enter your values, to get the answer for the mass of cylindrical shaft according to the respective parameter which is the **Factor of Safety (N), Twisting Moment (M), Length of Shaft (L), Density (ρ)** and **Shear Stress at Fracture (τ _{f}).**

Now, enter the values appropriately and accordingly for the parameters as required by the **Factor of Safety (N)** is **4**,** Twisting Moment (M)** is **2**,** Length of Shaft (L)** is **7**,** Density (ρ) **is **6** and **Shear Stress at Fracture (τ _{f})** is

**10**.

Finally, Click on Calculate

As you can see from the screenshot above, **Nickzom Calculator**– The Calculator Encyclopedia solves for the mass of cylindrical shaft and presents the formula, workings and steps too.