Question
Asked Oct 19, 2019
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The jib crane is supported by a pin at C and rod AB. The rod can withstand a maximum tensionof 40 kN. If the load has a mass of 2 Mg, with its center of mass located at G, determine its maximum allowable distance x and the corresponding horizontal and vertical components of reaction at C

- 4 m
А
3.2 m
0.2 m
В
С
FG
D
х —
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- 4 m А 3.2 m 0.2 m В С FG D х —

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Expert Answer

Step 1

Consider the following free body diagram:

Cx and Cy are the vertical and horizontal reactions are the point C

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FAB е C 2000 x 9.81kN

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Step 2

Taking moment about point C

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ΣΜ.-0 (F Sin e)x BC +(F AB Cose)x0.2 -2000 x 9.8 1x = 0 AB 3 x 4+FX 4 x 0.2-2000 x 9.81 x 5 0 AB AB 5 12 -XFр + 5 0.8 -xF-98000 0 5 AB AB F38.3kN AB

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Step 3

Now, balance the force in c direction t...

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4 C, F sin 0 38.3 x =30.64 kN 5

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