Hollow Round Elastic Section Modulus Calculator

This calculator calculates the section modulus for a hollow round section. This is done with the equation below.
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S=π(R4−r4)4R =π(D4−d4)32DS = \frac{\pi(R^4-r^4)}{4R}\ = \frac{\pi (D^4-d^4)}{32D}S=4Rπ(R4−r4)​ =32Dπ(D4−d4)​
The following are the variables for the equations...
﻿﻿S
 = the section modulus
﻿﻿r
 = the inner radius of the circle.
﻿﻿R
 = the outer radius of the circle.
﻿﻿d
 = the inner diameter of the circle.
﻿﻿D
 = the outer diameter of the circle.
﻿
Figure 1: Diagram of the Circular Hollow Section to Calculate the Section Modulus
Rectangle Section Modulus CalculatorInputs﻿﻿Inner Radius, r
:0.50mm​
﻿
﻿﻿Outer Radius, R
:1.00mm​
﻿
﻿﻿Inner Diameter, d
:1.00mm​
﻿
﻿﻿Outer Diameter, D
:2.00mm​
﻿
Output﻿﻿Section Modulus, S (eqn 1)
:0.74mm3​
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﻿
Sequation 1=π(R4−r4)4RS_{equation\ 1} = \frac{\pi(R^4-r^4)}{4R}Sequation 1​=4Rπ(R4−r4)​
﻿﻿Section Modulus, S (eqn 2)
:0.74mm3​
﻿
﻿
Sequation 2=π(D4−d4)32DS_{equation\ 2} = \frac{\pi (D^4-d^4)}{32D}Sequation 2​=32Dπ(D4−d4)​
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