--------------------> Produced By STABMOT <--------------------
Sum Of The Forces In The X Direction Is Equal To Zero [ Right Is Positive ]
Fx + --> = 0
--> -F1 x 0.6 + F2 x 0.8 + 400 x Cos(50) = 0 EQ(1)
--> -F1 x 0.6 + F2 x Cos0.8 + 257.007399685376 = 0 EQ(1)
--> -F1 x 0.6 + F2 x 0.8 = -257.007399685376 EQ(1)
Sum Of The Forces In The Y Direction Is Equal To Zero [ Up Is Positive ]
Fy + ^ = 0
|
--> -F1 x 0.8 - F2 x 0.6 + 400 x Sin(50) = 0 EQ(2)
--> -F1 x 0.8 - F2 x 0.6 + 306.508069236295 = 0 EQ(2)
--> -F1 x 0.8 - F2 x 0.6 = -306.508069236295 EQ(2)
--------------------> Produced By STABMOT <--------------------
--> -F1 x 0.6 + F2 x 0.8 = -257.007399685376 EQ(1)
--> -F1 x 0.8 - F2 x 0.6 = -306.508069236295 EQ(2)
--------------------> Using Matrices <--------------------
--> [ -0.6 0.8 -257.01 ]
--> [ -0.8 -0.6 -306.51 ]
--> [ Determinant = ]
--> [ -0.6 0.8 ]
--> [ -0.8 -0.6 ]
--> Det. = -0.6 x -0.6 - -0.8 x 0.8
--> Det. = 0.36 - -0.64
--> Det. = 1
--------------------> Produced By STABMOT <--------------------
--> [ Force (F1) = ]
--> [ -257.01 0.8 ]
--> [ -306.51 -0.6 ]
--> F1 = -257.01 x -0.6 - 0.8 x -306.51
--> F1 = 154.206 - -245.208
--> F1 = 399.414
--> F1 = 399.414 / 1
--> F1 = 399.414
--> F1 = 399.41 N
--> [ Force (F2) = ]
--> [ -0.6 -257.01 ]
--> [ -0.8 -306.51 ]
--> F2 = -0.6 x -306.51 - -0.8 x -257.01
--> F2 = 183.906 - 205.608
--> F2 = -21.702
--> F2 = -21.702 / 1
--> F2 = -21.702
--> F2 = -21.70 N
--------------------> Produced By STABMOT <--------------------
--> F1 = 399.41 N
--> F2 = -21.70 N
--------------------> End Of Session <--------------------
Case I
FY = 0 ;
-70 + FAY = 0
FAY = 70 N
Case II
70 - Fby (0.7172) = 0
Fby = 70 / 0.7172
Fb = 97.62 N
Fx = 0
97.62 (0.7172) + FCx = 0
FCx = -70.00
FC = -70 N
--------------------> Produced By STABMOT <--------------------
---> FCx = -70.00
---> FC = -70 N
FDx = 0.0 N
--------------------> End Of Session <--------------------