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

[Fig 1.57: Rotation about the ‘y-axis’]

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

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

QP No. SSC/Q4401, Version 1.0, NSQF Level 7, Compliant with Aero and Auto Industries, Page 53