C 3 kN 20° T 16 kN 40° 8 kN 3.03 kN 5.05 kN 9.09 kN 7.07 kN

Traffic and Highway Engineering
5th Edition
ISBN:9781305156241
Author:Garber, Nicholas J.
Publisher:Garber, Nicholas J.
Chapter14: Highway Surveys And Location
Section: Chapter Questions
Problem 14P
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Question

Determine the magnitudes of the force T, which, along with the other three forces shown, act on the bridge-truss joint.

C
3 kN
20°
T
16 kN
40°
8 kN
3.03 kN
5.05 kN
9.09 kN
7.07 kN
Transcribed Image Text:C 3 kN 20° T 16 kN 40° 8 kN 3.03 kN 5.05 kN 9.09 kN 7.07 kN
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Show how did equation 1 and 2 resulted?

I have tried it but i resulted to "8tan(40) - C cos(20)tan(40) - C cos(20) = 3 however my final answer resulted to C = 2.148
"is this correct?"

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How to identify if "cos" or "sin" is to be used? 

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