A cargo ship is tied down to marine boll arts 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 F , = ll0 kN.F, = 85kN.and F, 9OkNare secured to one bollard at a point A with coordinates (0.0.45 m. 0) in the x-r-: coordinate system shown in the figure part b. Each cable force is directed at an attachment point on the ship. Force F, is directed from point A to a point on the ship having coordinates (3 m, 9 m. 0) force F, is directed at a point with coordinates (6.5 m. 8.5 m. 2 m) and force F, is directed at a point with coordinates (8 m. 9 m. S m). The diameter of each anchor bolts is 4 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-: plane). Assume each bolt cart ics an equal share of the total force.
A cargo ship is tied down to marine boll arts 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 F , = ll0 kN.F, = 85kN.and F, 9OkNare secured to one bollard at a point A with coordinates (0.0.45 m. 0) in the x-r-: coordinate system shown in the figure part b. Each cable force is directed at an attachment point on the ship. Force F, is directed from point A to a point on the ship having coordinates (3 m, 9 m. 0) force F, is directed at a point with coordinates (6.5 m. 8.5 m. 2 m) and force F, is directed at a point with coordinates (8 m. 9 m. S m). The diameter of each anchor bolts is 4 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-: plane). Assume each bolt cart ics an equal share of the total force.
A cargo ship is tied down to marine boll arts 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 F, = ll0 kN.F, = 85kN.and F, 9OkNare secured to one bollard at a point A with coordinates (0.0.45 m. 0) in the x-r-: coordinate system shown in the figure part b. Each cable force is directed at an attachment point on the ship. Force F, is directed
from point A to a point on the ship having coordinates (3 m, 9 m. 0) force F, is directed at a point with coordinates (6.5 m. 8.5 m. 2 m) and force F, is directed at a point with coordinates (8 m. 9 m. S m). The diameter of each anchor bolts is 4 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-: plane). Assume each bolt cart ics an equal share of the total force.
2. Auniform bar 3.00 m long is held by ropes at the ends making angle 60.0° and 30.0°,
respectively, with the horizontal. A weight of 200 N is hung 0.500 m from the left
end where the 60.0° rope is attached. Find the tension in the ropes (T1 & T2) and
the weight (W) of the bar. (Hint: Formulate three equations for the three
unknowns, 2 equations for the 1st condition and 1 equation for the 2nd condition.)
3.00m
T2 7
0.500m
60.0
B
200 N
The uniform 18kg Bar OA is held in the position shown by a smooth pin at 0, and the cable AB which is in tension as shown.
DA
1.5 m
60°
1.2 m
What are the components of the Weight Vector (W), which is used to represent the weight of the bar OA
W =Wi – Wyj
(Answer in Newtons)
Wy
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A 400 N gas sign hangs from the end of a uniform strut BC. The strut
is 4 m long and weighs 600 N. The strut is supported by a hinge at
the wall at C and by a cable whose other end is tied to the wall at
point A 3.0 m above the left end of the strut. Find the tension in the
supporting cable and the force of the hinge on the strut.
5.0 m
3.0 m
4.0 m
B
GAS
TAB= 1333 N
TAB= 1167 N
TAB= 400 N
TAB= 1000 N
leave the question 4
Other:
Q 4
4 points
Rc= 980 N
O Rc= 360 N
Rc= 890 N
Rc= 1085 N
O O O
O O
O O
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