Question
Asked Oct 14, 2019
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Determine the force in member EI of the truss which serves to support the deck of a bridge. Determine the force in member JI of the truss which serves to support the deck of a bridge.

8000 lЬ
кийР-
5000 lb
4000 IЬ
В
12 ft
К
-9 ft
9 ft
9 ft-
-9 ft-
9 ft-
6-
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8000 lЬ кийР- 5000 lb 4000 IЬ В 12 ft К -9 ft 9 ft 9 ft- -9 ft- 9 ft- 6-

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Expert Answer

Step 1

FBD of the given problem: 

5,000us
1ft E
FEF
F
FET
1Pft
7,500u
J
H
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5,000us 1ft E FEF F FET 1Pft 7,500u J H

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Step 2

Taking moment about E,

ΣΜ.-0
-5000 (9)+7500 (18)- F (12) 0
-F(12) 45000-135000
+F (12) 90000
90000
= 7500lb
12
FI 7.50kip(Tens ion)
л
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ΣΜ.-0 -5000 (9)+7500 (18)- F (12) 0 -F(12) 45000-135000 +F (12) 90000 90000 = 7500lb 12 FI 7.50kip(Tens ion) л

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Step 3

Calculating force in vertical d...

ΣΕ-
7500-5000 Fi = 0
Fii =2500lb
FT 2.50kip(Compression)
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ΣΕ- 7500-5000 Fi = 0 Fii =2500lb FT 2.50kip(Compression)

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Mechanical Engineering

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