10.)A cube 2.2 ft on an edge has its lower half of s.g. = 1.6 and upper half of s.g. = 0.7. It rests in a two-layer fluid, with lower s.g. = 1.4 and upper s.g. =0.8. Determine the height h of the top of the cube above the interface (see Fig. 36) %3D

Structural Analysis
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Chapter2: Loads On Structures
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**Problem 10**

A cube with an edge length of 2.2 feet has its lower half with a specific gravity (s.g.) of 1.6 and its upper half with an s.g. of 0.7. It rests in a two-layer fluid, where the lower layer has an s.g. of 1.4 and the upper layer an s.g. of 0.8. Determine the height \( h \) of the top of the cube above the interface.

(Note: Refer to Figure 36 for illustration.)
Transcribed Image Text:**Problem 10** A cube with an edge length of 2.2 feet has its lower half with a specific gravity (s.g.) of 1.6 and its upper half with an s.g. of 0.7. It rests in a two-layer fluid, where the lower layer has an s.g. of 1.4 and the upper layer an s.g. of 0.8. Determine the height \( h \) of the top of the cube above the interface. (Note: Refer to Figure 36 for illustration.)
This diagram, labeled as Figure 36, illustrates a vertical section consisting of two fluid layers contained within a 2.2 ft x 2.2 ft square area. Here's a detailed breakdown:

1. **Top Layer:**
   - Height: \( h \)
   - Specific Gravity (s.g.): 0.7
   - Annotations to the right indicate another layer with a specific gravity of 0.8 at a similar horizontal level.

2. **Bottom Layer:**
   - Height: \( 2.2 - h \)
   - Specific Gravity (s.g.): 1.6
   - Annotations to the right indicate another layer with a specific gravity of 1.4 at a similar horizontal level.

3. **Interface:**
   - A dotted line labeled as "interface" separates the two layers vertically.

This diagram is meant to depict the stratification of fluids with varying specific gravities, aiding in the understanding of fluid dynamics within containerized environments.
Transcribed Image Text:This diagram, labeled as Figure 36, illustrates a vertical section consisting of two fluid layers contained within a 2.2 ft x 2.2 ft square area. Here's a detailed breakdown: 1. **Top Layer:** - Height: \( h \) - Specific Gravity (s.g.): 0.7 - Annotations to the right indicate another layer with a specific gravity of 0.8 at a similar horizontal level. 2. **Bottom Layer:** - Height: \( 2.2 - h \) - Specific Gravity (s.g.): 1.6 - Annotations to the right indicate another layer with a specific gravity of 1.4 at a similar horizontal level. 3. **Interface:** - A dotted line labeled as "interface" separates the two layers vertically. This diagram is meant to depict the stratification of fluids with varying specific gravities, aiding in the understanding of fluid dynamics within containerized environments.
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