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Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

The question is:

Determine the force developed in the member HC of the below truss (hint use the method of the section and notice member BH makes a right angle at joint B with respect to members AB and BC).

2 kN
0.8 m
1.5
В
D
A
H
G
F
E
1 m
1.5 kN
1 m
2 m
2 m

Expert Solution

Step 1 :Using method of section:

Method of Sections.

F_HC can be determined directly by writing the moment equations of equilibrium about points F and C, respectively, by referring to the FBD of the upper portion of the truss section through 1-1 as shown in Figure below.

Step 2

$\sum_{}$ Fx=0

$\sum_{}$ Fy=0

$\sum_{}$ M_H=0

Calculating $∠$ BAH :

tan $θ$ =(1.5/2)

$θ$ =36.87 $°$

and $∠$ CHG will be :

tan $\emptyset$ =(1.5/1)

$\emptyset$ =56.3 $°$

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