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 12 in. 30 in. H 4 in. A E 8 in. F 4 in. 25 in. B 20 in. x

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
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Chapter5: Three-dimensional Equilibrium
Section: Chapter Questions
Problem 5.60RP: The connections at the ends of bars AB and BC arc ball-and-socket joints. Neglecting the weights of...
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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
Solution:
• FBD analysis
1. There are in total
reactions/forces on the FB are:
Presenting all forces and couples using components:
1. Reacions on A: A =
2. Reactions on B: B =
3. Tension in cable EF:
o EF =
i +
O TEF
=
supports on the system, by assuming no couples on A and B, no axial trust on B, the
4. Self weight of the plate W =
i+
i+
TEFI +
j+
♦ j+
♦ j+
k;
◆
k (lb);
◆ k (lb);
TEFJ+
◆ lb
TEFK;
Transcribed Image Text:Solution: • FBD analysis 1. There are in total reactions/forces on the FB are: Presenting all forces and couples using components: 1. Reacions on A: A = 2. Reactions on B: B = 3. Tension in cable EF: o EF = i + O TEF = supports on the system, by assuming no couples on A and B, no axial trust on B, the 4. Self weight of the plate W = i+ i+ TEFI + j+ ♦ j+ ♦ j+ k; ◆ k (lb); ◆ k (lb); TEFJ+ ◆ lb TEFK;
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