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 "Wic" 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
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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1. A wooden scow 8m wide, 16m long, and 3m high is transporting in sea water (SG-1.05) carrying a total load of 2000 kN. The
cg. of the barge is 1.50m from the c.g. of the portion underwater. If an outside force heels the barge until one side (top) is
just submerged in seawater, determine the
a. distance in meters from the metacenter to the center of buoyancy
b. moment of the wedge shift in kN-m
c. moment of the center of buoyancy shift in kN-m
d. righting moment or overturning moment in kN-m
2. 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
3. A circular log Sm long has a radius of 1.40m. If the specific gravity of the log is 0.50 and if placed in water, determine the
following:
a. weight "W." of the log in kN
b. to what depth "d" will the log sink in water
C. what load "P" must be applied in order to submerged the log fully
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 "Wi" 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 wooden scow 8m wide, 16m long, and 3m high is transporting in sea water (SG-1.05) carrying a total load of 2000 kN. The cg. of the barge is 1.50m from the c.g. of the portion underwater. If an outside force heels the barge until one side (top) is just submerged in seawater, determine the a. distance in meters from the metacenter to the center of buoyancy b. moment of the wedge shift in kN-m c. moment of the center of buoyancy shift in kN-m d. righting moment or overturning moment in kN-m 2. 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 3. A circular log Sm long has a radius of 1.40m. If the specific gravity of the log is 0.50 and if placed in water, determine the following: a. weight "W." of the log in kN b. to what depth "d" will the log sink in water C. what load "P" must be applied in order to submerged the log fully 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 "Wi" 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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