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.
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.
International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
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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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;
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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