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Document Title
Fundamentals of Stress and Vibration 2. Engineering Mechanics Chapter
[A Practical guide for aspiring Designers / Analysts]
W
L ∗ dz ∗ ρ H 3 L ∗ W ∗ ρ H 3 L ∗ W ∗ H ∗ ρ H 2 mH 2
= = = - - - - (2.41)
12 12 12 12
0
The total MMOI about the ‘x-axis’ is given by the sum of equations (2.39) and (2.41):
I xx = Rotation of all elements about the x − axis
+ Rotation of all elements about their own axis
mW 2 mH 2
I xx = +
12 12
Similarly, the MMOI about the ‘y-axis’ is as shown:
[Fig 2.47: Inertia of element about the 'y-axis' through the CG]
mL 2
From . , we have: I yy,elem = - - - - (2.42)
12
[Fig 2.48: inertia of element about its own axis] [Fig 2.49: MMOI contribution of elements
across the length (L)]
QP No. SSC/Q4401, Version 1.0, NSQF Level 7, Compliant with Aero and Auto Industries, Page 59 age 59
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