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Fundamentals of Stress and Vibration
[A Practical guide for aspiring Designers / Analysts] 1. Mathematics for Structural mechanics
dy
If the curve has a small slope ≈ 0 at the point where the radius of curvature is sought, then,
dx

1
the radius of curvature reduces to: R = d y - - - - (1.12)
2

dx 2
2
1 1 d y
And the curvature is given by: = - - - - (1.13)
R R dx 2
dy
It can be observed that, for a general curve, the slope of the tangent is
dx

1
And slope of the normal is − dy , as shown in [ . ]

dx

[Fig 1.12: slope for tangent and normal of a curve]
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QP No. SSC/Q4401, Version 1.0, NSQF Level 7, Compliant with Aero and Auto Industries,
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