Page 182 - C:\Users\trainee\AppData\Local\Temp\msoEAA3.tmp

Fundamentals of Stress and Vibration 1. Mathematics for Structural mechanics
[A Practical guide for aspiring Designers / Analysts]

[Fig 1.83: x, y and z coordinates of a boom]

Let us find the position vector r , which is given by:

x − x i + y − y j + z − z k

2
2
1
1
1
2
Treating the CG of the lifting mechanism to be the origin, the x , y , z and x , y , z
2
1
2
2
1
1
coordinates as shown in [Fig 1.83] are given by:
x , y , z = C cos θ , 0, −c sinθ − form .
1
1
1

[Fig 1.84: top view of boom’s bottom coordinates]

x , y , z = x + L cosΦ cosθ , y + L sin Φ , (z − L cosΦ sinθ − form .
1
2
2
2
1
1

QP No. SSC/Q4401, Version 1.0, NSQF Level 7, Compliant with Aero and Auto Industries, Page 85