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1. A stone weigh 400 N in air and 240 N in water. a. Calculate the volume of the stone in cubic meter. b. Calculate the unit weight of the stone in kilonewton per cubic meter. c. Calculate the relative density of the stone. 2. A barge floating in a river, in the form of rectangular parallelepiped 10 m wide b loaded with 4,500 kN of sand. Its centroid is located 4 m from the barge bottom. Sp

1. A stone weigh 400 N in air and 240 N in water. a. Calculate the volume of the stone in cubic meter. b. Calculate the unit weight of the stone in kilonewton per cubic meter. c. Calculate the relative density of the stone. 2. A barge floating in a river, in the form of rectangular parallelepiped 10 m wide b loaded with 4,500 kN of sand. Its centroid is located 4 m from the barge bottom. Sp

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Use 3 (three) decimal places when solving; 3 (three) significant figures for scientific notations. Attach clear and readable solutions. (unclear solutions will be incorrect) 1. A stone weigh 400 N in air and 240 N in water. a. Calculate the volume of the stone in cubic meter. b. Calculate the unit weight of the stone in kilonewton per cubic meter. c. Calculate the relative density of the stone. 2. A barge floating in a river, in the form of rectangular parallelepiped 10 m wide by 30 m long by 3 m high, is loaded with 4,500 kN of sand. Its centroid is located 4 m from the barge bottom. Specific gravity of water is 1.01. a. Calculate the draft of the barge in meters. b. Calculate the metacentric height for rotation along about its longest centerline in meters. c. Calculate the metacentric height for rotation along about its shortest centerline in meters. 3. A spherical balloon 5.8 m in diameter is filled with gas weighing 5 N/m³. In standard air weighing 12 N/m, evaluate the maximum load in newton, excluding its own weight, that the balloon can lift. 4. A ship having a displacement of 25,000 metric tons enters a harbor of fresh water. The ship captain recorded a draft of 8.4 m while the ship was still in seawater. Obtain the draft in meters of the ship in fresh water if the horizontal section of the ship below the waterline is 3,000 m? in both instances. 5. A 12 kN sphere is attached to a 4 kN sphere by a cable. Both spheres have the same diameter of 1.2 m and the weight and volume of the cable is negligible. If the spheres are thrown in water, calculate the following: a. The draft of the 4 kN sphere in meter. b. The tension in the cable in kilonewton. c. The exposed volume of the 4 kN sphere in cubic meter. d. Percentage of submerged volume of 2 spheres.
Transcribed Image Text:Use 3 (three) decimal places when solving; 3 (three) significant figures for scientific notations. Attach clear and readable solutions. (unclear solutions will be incorrect) 1. A stone weigh 400 N in air and 240 N in water. a. Calculate the volume of the stone in cubic meter. b. Calculate the unit weight of the stone in kilonewton per cubic meter. c. Calculate the relative density of the stone. 2. A barge floating in a river, in the form of rectangular parallelepiped 10 m wide by 30 m long by 3 m high, is loaded with 4,500 kN of sand. Its centroid is located 4 m from the barge bottom. Specific gravity of water is 1.01. a. Calculate the draft of the barge in meters. b. Calculate the metacentric height for rotation along about its longest centerline in meters. c. Calculate the metacentric height for rotation along about its shortest centerline in meters. 3. A spherical balloon 5.8 m in diameter is filled with gas weighing 5 N/m³. In standard air weighing 12 N/m, evaluate the maximum load in newton, excluding its own weight, that the balloon can lift. 4. A ship having a displacement of 25,000 metric tons enters a harbor of fresh water. The ship captain recorded a draft of 8.4 m while the ship was still in seawater. Obtain the draft in meters of the ship in fresh water if the horizontal section of the ship below the waterline is 3,000 m? in both instances. 5. A 12 kN sphere is attached to a 4 kN sphere by a cable. Both spheres have the same diameter of 1.2 m and the weight and volume of the cable is negligible. If the spheres are thrown in water, calculate the following: a. The draft of the 4 kN sphere in meter. b. The tension in the cable in kilonewton. c. The exposed volume of the 4 kN sphere in cubic meter. d. Percentage of submerged volume of 2 spheres.
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