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).

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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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
Transcribed Image Text: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.

FHC 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.Civil Engineering homework question answer, step 1, image 1

Step 2

Fx=0

Fy=0

M=0

Calculating BAH : 

tanθ=(1.5/2)

θ=36.87 °

and  CHG will be :

tan=(1.5/1)

=56.3 °

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