Mechanical torsors

Forum|Forum|5 years ago
April 1, 2021
1 reply
4833 views

Hi

I want to solve a mechanical torsors problem, but I don't know how to go about it with Mathcad

I have a circular platform. on this platforme i have 3 point B1,B2,B3

on each point i have a forces, respectively F1,F2,F3. About it i know directional vector for each forces.

My platform have a spherical joint in this center (point C).

And i have a torsor which define exterior mechanical load applied on platform at C point.

1°/ i write mechanical component:

Capture d’écran 2021-04-01 171405.png

obviously expressed respectively at each point

Now, i want to solve it find FB1,FB2,FB3,X,Y,Z

For this, i want to make a torsors transportation on C point! Capture d’écran 2021-04-01 171743.png

And now! i am stuck😥

I make a light mc file for add to this post

1_mechanical_torsors.zip

Mechanical_Engineering

X

XDN

Author

14-Alexandrite

And after all torsors transportation, i want to solve the system like this example:

Resultant theorem:
/ X : -0,9911.FB1 -0,9911.FB2 -0,9911.FB3 +XO = 0
/ Y : 0,1152.FB2 -0,1152.FB3 +YO = 0
/ Z : -0,1330.FB1 +0,0665.FB2 +0,0665.FB3 +ZO -12000 = 0
resultant moment theorem :
/ X : 0,0669.FB2 -0,0003.FB3 -1115 = 0
/ Y : 188,3112.FB1 -94,1556.FB2 -94,1556.FB3 +66000 = 0
/ Z : 164,0736.FB2 -163,0825.FB3 = 0

and finally:

FB1 = 16463,46
FB2 = 16763
FB3 = 16864,87
XO = 49646,1
YO = 11,74
ZO = 11953,37

I can to solve it with pen and paper, but i can't do it with mathcad

I can see that there is a problem with symbolic evaluations

😥