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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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
Determination of arms for all forces, taking point A as rotating point:
1. TAA =
2. TAB
=
3. TAE =
4. TAW =
1. MA=
2. MB =
i +
3. MAE =
4. MAG =
I+
i +
i +
+
+
◆ i+
+
Determination of moments about A for each force:
TEFİ +
+
+
k (in);
+
k (in);
k (in);
k (in);
k (lb-in);
♦ j+
TEFJ+
k (lb-in);
◆ k (lb-in);
TEFK (Ib-in);
Time left 1:37:21
Transcribed Image Text:Determination of arms for all forces, taking point A as rotating point: 1. TAA = 2. TAB = 3. TAE = 4. TAW = 1. MA= 2. MB = i + 3. MAE = 4. MAG = I+ i + i + + + ◆ i+ + Determination of moments about A for each force: TEFİ + + + k (in); + k (in); k (in); k (in); k (lb-in); ♦ j+ TEFJ+ k (lb-in); ◆ k (lb-in); TEFK (Ib-in); Time left 1:37:21
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