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 Solution:• FBD analysis1. There are in totalreactions/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, the4. Self weight of the plate W =i+i+TEFI +j+♦ j+♦ j+k;◆k (lb);◆ k (lb);TEFJ+◆ lbTEFK;

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

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

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.

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

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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