Answer to Question #178548 in Electrical Engineering for Hj Iuy

Question #178548

1.Determine the reactions at A and B when (a) α = 0, (b) α = 90°, 

(c) α = 30°.


1
Expert's answer
2021-04-12T02:29:38-0400

Consider a simple problem:



The force F is applied at the center of the rod. Hence, the reactions 1 and 2 at A and B will be equal.

(a) α = 0:


R1+R2+F=0,2R+F=0, R=F2.R_1+R_2+F=0,\\ 2R+F=0,\\\space\\ R=-\frac F2.

Reactions point to the right (opposite to the force)

(b) α = 90°, 


R1+R2+Fsin90°=0,2R+F=0, R=F2.R_1+R_2+F\text{sin}90°=0,\\ 2R+F=0,\\\space\\ R=-\frac F2.

Reactions point opposite to F downward.

(c) α = 30°


R1+R2+Fsin30°=0,2R+Fsin30°=0, R=Fsin30°2.R_1+R_2+F\text{sin}30°=0,\\ 2R+F\text{sin}30°=0,\\\space\\ R=-\frac{F\text{sin}30°}2.

Reactions point to the left bottom corner at the same angle below the horizontal.


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