Question
Asked Nov 23, 2019
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For the truss shown below, use the method of joints to:

a) find the forces in members DE and CD, and

b) identify whether they are in Tension (T) or Compression (C)

G
E
10 ft
В
- 10 ft-
- 10 ft-
- 10 ft -
60 lb
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G E 10 ft В - 10 ft- - 10 ft- - 10 ft - 60 lb

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Expert Answer

Step 1

Given data as per question

G
E
10 ft
A
D
10 ft
10 ft
10 ft
60 lb
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G E 10 ft A D 10 ft 10 ft 10 ft 60 lb

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Step 2

Considering equilibrium of given diagram of trusses;

ΣΕ-0
(1)
A, D 60
taking moment about D
ΣΜ-0
Ay x30-60x10 0
Ay 20lb
Putting above value in equation 1
(1)
A D 60
Ay 20lb
Putting above value in equation 1
AD 60
20 D 60
(1)
(1)
D, 401b
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ΣΕ-0 (1) A, D 60 taking moment about D ΣΜ-0 Ay x30-60x10 0 Ay 20lb Putting above value in equation 1 (1) A D 60 Ay 20lb Putting above value in equation 1 AD 60 20 D 60 (1) (1) D, 401b

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Step 3

Considering point D;

Free body ...

D
CE
tan0
CD
10
tan0=
10
tan 0 1
tan1 45
0= 45°
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D CE tan0 CD 10 tan0= 10 tan 0 1 tan1 45 0= 45°

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