The rectangular plate shown weighs 93 lb and is held in the position shown by hinges at A and B and by cable EF. Assumingthat the hinge at B does not exert any axial thrust and no couples exerted on both A and B, determine (a) the tension in thecable, (b) the reactions at A and B.ySolution:12 in.30 in.H4 in.E8 in.B4 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

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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.

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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Question

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

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