**Quonset Hut Analysis in a Hurricane**1. **Introduction:** A quonset hut is a lightweight, metal building with a semicircular cross-section. We consider a quonset hut with a radius of 2 m and a length of 10 m. With a hurricane atmosphere having a pressure of 90 kPa and a temperature of 30°C, wind blows at 60 m/s directly crosswise to the hut. We assume two-dimensional flow conditions along the length of the hut.2. **Problem (a):** - **Scenario:** The hut is directly on the ground. A small hole exists, equating internal pressure with external pressure at the hole’s location. - **Question:** Will the building lift off the ground? The hut's mass is 15,000 kg, made of steel. Neglecting drag, calculate using \(p = \rho RT\). ![Diagram for Part a](https://via.placeholder.com/150) *Diagram shows a quonset hut on the ground with a hole.*3. **Problem (b):** - **Scenario:** A hole is placed on the hut shell at a specific angle. - **Question:** At what angle \(\theta\) should the hole be placed to ensure zero lift on the hut? ![Diagram for Part b](https://via.placeholder.com/150) *Diagram shows a hut with a hole at angle \(\theta\).*4. **Problem (c):** - **Scenario:** The hut has a floor and sits above the ground, creating a crawl space with atmospheric pressure. No holes in the hut. - **Question:** Will this setup cause the building to lift in the storm? Assume mass is still 15,000 kg. ![Diagram for Part c](https://via.placeholder.com/150) *Diagram shows a hut with a crawl space and no holes.***Note**: Assumptions and calculations are necessary to determine lift forces and stability in the atmospheric conditions described.

Mass of the building, m=15000 kgradius of the hut, r= 2mlength of the hut, l= 10 mspeed of the wind,…

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Engineering

Mechanical Engineering

V hole

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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Free Body Diagram

The system of forces acting on a body tends to either rotate it or make the body undergo motion. In general, when an external agent exerts a force on a body, the body undergoes translational motion and rotational motion. The body has six degrees of freedom under the influence of that force. Here, three degrees of freedom are from the translational motion while the other three are from the rotation motion. However, sometimes the bodies are not allowed to undergo any motion and are fixed, under such conditions the body is said to be constrained.

Question

**Quonset Hut Analysis in a Hurricane**

1. **Introduction:**
A quonset hut is a lightweight, metal building with a semicircular cross-section. We consider a quonset hut with a radius of 2 m and a length of 10 m. With a hurricane atmosphere having a pressure of 90 kPa and a temperature of 30°C, wind blows at 60 m/s directly crosswise to the hut. We assume two-dimensional flow conditions along the length of the hut.

2. **Problem (a):**
- **Scenario:** The hut is directly on the ground. A small hole exists, equating internal pressure with external pressure at the hole’s location.
- **Question:** Will the building lift off the ground? The hut's mass is 15,000 kg, made of steel. Neglecting drag, calculate using \(p = \rho RT\).

![Diagram for Part a](https://via.placeholder.com/150)
*Diagram shows a quonset hut on the ground with a hole.*

3. **Problem (b):**
- **Scenario:** A hole is placed on the hut shell at a specific angle.
- **Question:** At what angle \(\theta\) should the hole be placed to ensure zero lift on the hut?

![Diagram for Part b](https://via.placeholder.com/150)
*Diagram shows a hut with a hole at angle \(\theta\).*

4. **Problem (c):**
- **Scenario:** The hut has a floor and sits above the ground, creating a crawl space with atmospheric pressure. No holes in the hut.
- **Question:** Will this setup cause the building to lift in the storm? Assume mass is still 15,000 kg.

![Diagram for Part c](https://via.placeholder.com/150)
*Diagram shows a hut with a crawl space and no holes.*

**Note**: Assumptions and calculations are necessary to determine lift forces and stability in the atmospheric conditions described.

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