Question
Asked Oct 14, 2019
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Members AB and BC can each support a maximum compressive force of 760 lb , and members AD, DC, and BD can support a maximum tensile force of 2000 lb. a = 10 ft. (Figure 1) Determine the greatest load P the truss can support.

C
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C

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Expert Answer

Step 1

The free body diagram of the system is can be drawn as the:

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В 3/4a 1/4a Ax a a 4 P O.

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Step 2

The maximum compressive force in rod AB is given as the:

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F 760 lb At point A the forces are shown in the figure from the triangle ADP: FAB 1 a tan FAD 4 a e=14.03 45 13.04 A Ag- Ballance the force in x direction a ΣΕ-0 F4 Cos 45 FAD cos15.03 0 FAD 553.925 1b LL.

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Step 3

Balance the force in t...

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ΣF-0 Р -F1B Sin 45 - FD sin 15.03 = 0 2 P 760 sin 45 553.925 sin 14.03 2 P =1343.371b

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