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Fundamentals of Stress and Vibration
[A Practical guide for aspiring Designers / Analysts] 1. Mathematics for Structural mechanics
‹‹Žƒ”Ž›ǡ ”‘–ƒ–‹‘ ƒ„‘—– –Š‡ Ǯš-ƒš‹•ǯ ‹• ƒ• •Š‘™ ‹ ȏ ‹‰ ͳǤͷ͸Ȑ

[Fig 1.56: Rotation about the ‘x-axis’]

Equation (1.58) can be recast for rotation about the ‘x-axis’ as follows:

′
′
e ∙ e 2 e ∙ e 3 y y′
2
2
=
′
′
e ∙ e 2 e ∙ e 3 z′
3
3
Representing rotation about ‘x-axis’ in the 3D space, we get:
1 0 0 x x ′
′
0 cos θ sin θ y = y
0 − sinθ cos θ z z ′

QP No. SSC/Q4401, Version 1.0, NSQF Level 7, Compliant with Aero and Auto Industries,
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