4. A frustum of a cone (SG=0.45), 6m high with 4m diameter at the top and 2m at the bottom floats in sea water with an SG=1.05. A 2m'concrete (2400 kg/m) weight is attached at the bottom of the smaller end of the frustum. Determine the following: a. weight "Wrc" of the frustum of the cone in kN b. radius "R," of the frustum in meters at the point of contact with the liquid surface c. buoyant force acting on the frustum of the cone considering the whole set-up d. draft of the frustum of the cone in meters

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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1. A barge 8m wide, 16m long, and 4m high is transporting in sea water (SG=1.03) with a
total load of 1500 kN (including its own weight and cargo). It floats vertically until an
external force hit the scow resulting to a shifting of 100 kN (from the 1500 KN) at a
distance 2.50m to one side causing the barge to go down 45 cm in the immersed wedge.
Determine the
a. distance in meters from the metacenter to the center of buoyancy
b. distance in meters from the waterline to the cg of the loaded barge
c. buoyancy moment in kN-m
2. Two spheres, each 1.30m in diameter, weigh 5 kN and 13 kN respectively. They are
connected with a short rope and placed in water.
a. What is the tension in the rope?
b. What portion of the lighter sphere protrudes from the water?
3. A block of wood having a volume of 0.034 m'and weighing 300 N is suspended in water
as shown. A woden rod of lenth 3.40m and cross-section of 200 mm is attached to the
weight and also to the wall. If the rod weighs 16 N,
a. Determine the angle alpha for equilibrium
0.31 m
L= 3.4 m
300 N
4. A frustum of a cone (SG=0.45), 6m high with 4m diameter at the top and 2m at the
bottom floats in sea water with an SG=1.05. A 2m concrete (2400 kg/m) weight is
attached at the bottom of the smaller end of the frustum. Detemine the following:
a. weight "Wrc" of the frustum of the cone in kN
b. radius "R;" of the frustum in meters at the point of contact with the liquid surface
c. buoyant force acting on the frustum of the cone considering the whole set-up
d. draft of the frustum of the cone in meters
Transcribed Image Text:1. A barge 8m wide, 16m long, and 4m high is transporting in sea water (SG=1.03) with a total load of 1500 kN (including its own weight and cargo). It floats vertically until an external force hit the scow resulting to a shifting of 100 kN (from the 1500 KN) at a distance 2.50m to one side causing the barge to go down 45 cm in the immersed wedge. Determine the a. distance in meters from the metacenter to the center of buoyancy b. distance in meters from the waterline to the cg of the loaded barge c. buoyancy moment in kN-m 2. Two spheres, each 1.30m in diameter, weigh 5 kN and 13 kN respectively. They are connected with a short rope and placed in water. a. What is the tension in the rope? b. What portion of the lighter sphere protrudes from the water? 3. A block of wood having a volume of 0.034 m'and weighing 300 N is suspended in water as shown. A woden rod of lenth 3.40m and cross-section of 200 mm is attached to the weight and also to the wall. If the rod weighs 16 N, a. Determine the angle alpha for equilibrium 0.31 m L= 3.4 m 300 N 4. A frustum of a cone (SG=0.45), 6m high with 4m diameter at the top and 2m at the bottom floats in sea water with an SG=1.05. A 2m concrete (2400 kg/m) weight is attached at the bottom of the smaller end of the frustum. Detemine the following: a. weight "Wrc" of the frustum of the cone in kN b. radius "R;" of the frustum in meters at the point of contact with the liquid surface c. buoyant force acting on the frustum of the cone considering the whole set-up d. draft of the frustum of the cone in meters
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