In the position shown in (Figure 1), cords ABAB and CAD can each support a maximum tension of 80 lb. Suppose that γ = 19 and θ <90∘ What is the angle θ for equilibrium?

Structural Analysis
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Chapter2: Loads On Structures
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In the position shown in (Figure 1), cords ABAB and CAD can each support a maximum tension of 80 lb. Suppose that γ = 19 and θ <90∘

What is the angle θ for equilibrium?
Express your answer using three significant figures.
B
A
D
F
Transcribed Image Text:B A D F
Expert Solution
Step 1

Draw free body diagram

Civil Engineering homework question answer, step 1, image 1Consider the summation of forces in the horizontal direction

Wsinθ-80sin19o=0W=80sin19osinθ                            ...(1)

Consider the summation of forces in the vertical direction

80cos19o-W-Wcosθ=0W=80cos19o1+cosθ                  ...(2)

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