- #1

Andrew VanFossen

- 1

- 0

## Homework Statement

Hello,

I am looking to determine the moment of inertia for the cantilever beam pictured below. I want

*I*to be a function of L1 and T1.

Known variables: L, D, P, t

Dependent variables: T2, L2

Design variables: T1, L1

## Homework Equations

L2 = L - L1

T2 = T1 - t

Standard Moment of Inertia:

*I*= π/4 * (Ro^4 - Ri^4)

I am looking to modify the above equation to be include 2 sections of variable thickness

## The Attempt at a Solution

I1 = π/64 * (D^4 - (D - T1)^4)

*I*= I1 * (1 - L1/L)^4

The above solution is valid for a linearly tapered beam, not a beam with 2 discrete sections. I have not been able to find any derived moments of inertia for the above shape. Any help would be greatly appreciated!