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Consider the jib crane shown here where it is supported by a pin at C and rod AB.The maximum tension allowed in the rod is 60 kN and the maximum rated force in the pin C is 80 kN. The load has a mass of 2000 Kgwith its center of mass located atG. Answer the following questions
1. Apply equilibrium conditions and expressFCand FABas functions of x (the distance shown on the figure). Note:FCis the overall force in pin C which isobtained by first findingCXand CY.
CX= 6131.25XCY= 4598.43X - 19620FC= √((?6131.25X)?^2+?(4598.43X - 19620)?^2 )FAB= 7664x
2. Use Excel to form a table with the headingsshown. Then have Excel calculate and plot FAB and FC for distances x from 4.5 m to 10 m, which is the crane's length. Increment every 1 meter.Make sure your plot is well labeled.
FAB (kN)
CX (kN)
CY (kN)
FC (kN)
4.5
34488
27590.63
1072.935
27611.48
5.5
42152
33721.88
5671.365
34195.46
6.5
49816
39853.13
10269.8
41155.08
7.5
57480
45984.38
14868.23
48328.32
8.5
65144
52115.63
19466.66
55632.63
9.5
72808
58246.88
24065.09
63022.43
10
76640
61312.5
26364.3
66740.53
3. Based on your simulation results, and the given rated forces (on the rod and the pin C) how close to the tip of the crane (i.e. 10 m), will you allow the load to go?Why?
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