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(a) Express the vertical forces involved which woukd ensure that the block is stable in position as shown in Figure 1. (b) Based on the answer in (a), compute the depth Y which is below the water surface. (c) Based on the answer in (b), determine whether the block is stable or unstable in the water. (d) Estimate the thickness of the brass plate, X required to cause the block to float as shown in Figure 2.

(a) Express the vertical forces involved which woukd ensure that the block is stable in position as shown in Figure 1. (b) Based on the answer in (a), compute the depth Y which is below the water surface. (c) Based on the answer in (b), determine whether the block is stable or unstable in the water. (d) Estimate the thickness of the brass plate, X required to cause the block to float as shown in Figure 2.

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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QUESTION 1 Buoyancy is defined as an upward force exerted by a fluid that opposes the weight of a partially or fully immersed object. In a column of fluid, pressure increases with depth as a result of the weight of the overlying fluid. Figure 1 shows that a wood block has a cross section of 100 cm by 75 cm on top view with buoy weights is 10 kN, and the height of 180 cm is floats vertically in water. The specific gravity of wood is 0.65. A brass plate buoy weighs 8.75 kN is to be attached to the bottom of the wood block and the water is replaced with kerosene, so that the block will be float in the position as shown in Figure 2. (a) Express the vertical forces involved which woukld ensure that the block is stable in position as shown in Figure 1. (b) Based on the answer in (a), compute the depth Y which is below the water surface. (c) Based on the answer in (b), determine whether the block is stable or unstable in the water. (d) Estimate the thickness of the brass plate, X required to cause the block to float as shown in Figure 2. (e) Describe the buoyancy and stability principle based on Figure 1 and Figure 2.
Transcribed Image Text:QUESTION 1 Buoyancy is defined as an upward force exerted by a fluid that opposes the weight of a partially or fully immersed object. In a column of fluid, pressure increases with depth as a result of the weight of the overlying fluid. Figure 1 shows that a wood block has a cross section of 100 cm by 75 cm on top view with buoy weights is 10 kN, and the height of 180 cm is floats vertically in water. The specific gravity of wood is 0.65. A brass plate buoy weighs 8.75 kN is to be attached to the bottom of the wood block and the water is replaced with kerosene, so that the block will be float in the position as shown in Figure 2. (a) Express the vertical forces involved which woukld ensure that the block is stable in position as shown in Figure 1. (b) Based on the answer in (a), compute the depth Y which is below the water surface. (c) Based on the answer in (b), determine whether the block is stable or unstable in the water. (d) Estimate the thickness of the brass plate, X required to cause the block to float as shown in Figure 2. (e) Describe the buoyancy and stability principle based on Figure 1 and Figure 2.
75 cm Wood block SG=;0.65 180 cm water Y 100 cm 75 cm Wood block SG =;0.65 |180 cm 160 cm Kerosene X 100 cm - Brass Plate Figure 2
Transcribed Image Text:75 cm Wood block SG=;0.65 180 cm water Y 100 cm 75 cm Wood block SG =;0.65 |180 cm 160 cm Kerosene X 100 cm - Brass Plate Figure 2
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