Question: A cargo ship is tied down to
A cargo ship is tied down to marine bollards at a number of points along its length while its cargo is unloaded by a container handling crane. Each bollard is fastened to the wharf using anchor bolts. Three cables having known tension force magnitudes F1 = 110 kN, F2 = 85 kN, and F3 = 90 kN are secured to one bollard at a point A with coordinates (0, 0.45 m, 0) in the x-y-z coordinate system shown in the figure part b. Each cable force is directed at an attachment point on the ship. Force F1 is directed from point A to a point on the ship having coordinates (3 m, 9 m, 0); force F2 is directed at a point with coordinates (6.5 m, 8.5 m, 2 m); and force F3 is directed at a point with coordinates (8 m, 9 m, 5 m). The diameter of each anchor bolts is db = 24 mm. (a) Find the reaction forces and reaction moments at the base of the bollard. (b) Calculate the average shear stress in the anchor bolts (in the x-z plane). Assume each bolt carries an equal share of the total force. 
Transcribed Image Text:
(a) Arrainbow/Shutterstock.com y (F2 F3 A Н-1.0 m S= 0.45 m a a Rx Anchor- Wharf bolts structure R. (b)
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