The rectangular plate shown weighs 93 lb and is held in the position shown by hinges at A and B and by cable EF. Assuming that the hinge at B does not exert any axial thrust and no couples exerted on both A and B, determine (a) the tension in the cable, (b) the reactions at A and B.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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• Equilibrium Equations:
1. ΣΜΑ = 0:
o Coefficient of i simplified to:
o Coefficient of j simplified to:
o Coefficient of k simplified to:
2. [F = 0:
o Coefficient of i simplified to:
o Coefficient of j simplified to:
lb;
o Coefficient of k simplified to:
TEF +
TEF +
TEF +
TEF +
TEF
+
TEF +
<
O
= 0, hence TEF
Bz = 0, hence Bz =
By +
= 0, hence Ax =
+
+
=
= 0, hence By =
=
lb;
= 0, hence Az =
lb;
lb;
0, hence Ay =
Ib.
lb;
Transcribed Image Text:• Equilibrium Equations: 1. ΣΜΑ = 0: o Coefficient of i simplified to: o Coefficient of j simplified to: o Coefficient of k simplified to: 2. [F = 0: o Coefficient of i simplified to: o Coefficient of j simplified to: lb; o Coefficient of k simplified to: TEF + TEF + TEF + TEF + TEF + TEF + < O = 0, hence TEF Bz = 0, hence Bz = By + = 0, hence Ax = + + = = 0, hence By = = lb; = 0, hence Az = lb; lb; 0, hence Ay = Ib. lb;
The rectangular plate shown weighs 93 lb and is held in the position shown by hinges at A and B and by cable EF. Assuming
that the hinge at B does not exert any axial thrust and no couples exerted on both A and B, determine (a) the tension in the
cable, (b) the reactions at A and B.
y
Solution:
12 in.
30 in.
H
4 in.
E
8 in.
B
4 in. 25 in.
20 in.
X
Transcribed Image Text:The rectangular plate shown weighs 93 lb and is held in the position shown by hinges at A and B and by cable EF. Assuming that the hinge at B does not exert any axial thrust and no couples exerted on both A and B, determine (a) the tension in the cable, (b) the reactions at A and B. y Solution: 12 in. 30 in. H 4 in. E 8 in. B 4 in. 25 in. 20 in. X
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