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Asked Oct 3, 2019
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The cable carrying three 400-lb loads has a sag at C of hC = 16 ft.
Calculate the force in each segment of the cable.

6.83 The cable carrying three 400-b loads has a sag at C of hc 16 ft
Calculate the force in each segment of the cable.
12
8 ft
he
400 lb
400 lb
400 lb
Fig. P6.83, P6.84
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6.83 The cable carrying three 400-b loads has a sag at C of hc 16 ft Calculate the force in each segment of the cable. 12 8 ft he 400 lb 400 lb 400 lb Fig. P6.83, P6.84

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Expert Answer

Step 1

Sketch the free body diagram of the cable.

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12 ft 12 ft 8 ft 8 ft -НЕ На ө hв RA D -ө, 400 lb 400 lb 400 lb

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Step 2

Refer to Figure.

Use equilibrium equations:

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ΣΜ,-0 Rx 40 400x 32 - 400 x 24 -400 x 12 0 (0) R 680lb +ΥΣF =0 R -400 400 - 400 680 0 11 Ib() R 520lb ΣΜ.0 -Η, x 16+ 680 x 16-400 x 8=0 Α Η- 4801b (-) + ΣΕ=0 Η, -480-0 E 480lb( Η, Ε Ε

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Step 3

Calculate the sag of the cable at B and...

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Forh ΣΜ,-0 -480 x h680 x 8 = 0 h11.33ft Forh ΣΜ,-0 480 xh520x12 = 0 h, 13ft

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