Problem 15.120 The gauge pressure of water at A is 150.5 kPa. Water flows through the pipe at A with a velocity of 18 m/s, and out the pipe at B and C with the same velocity v. Neglect the weight of water within the pipe and the weight of the pipe. The pipe has a diameter of 50 mm at A, and at B and C the diameter is 27 mm. Pw=1000 kg/m³. (Figure 1) Figure v v L A < 1 of 1 18 m/s ▼ ▼ Part A Determine the component of force exerted on the elbow necessary to hold the pipe assembly in equilibrium. Express your answer to three significant figures and include the appropriate units. F₂ = Value Submit μA Part B Request Answer μÀ F = Value С Submit Request Answer Units Determine the y component of force exerted on the elbow necessary to hold the pipe assembly in equilibrium. Express your answer to three significant figures and include the appropriate units. pod Units ? BAD ?

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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# Problem 15.120

**Description:**

The gauge pressure of water at point A is 150.5 kPa. Water flows through the pipe at point A with a velocity of 18 m/s and exits the pipe at points B and C with the same velocity \( v \). Neglect the weight of water within the pipe and the weight of the pipe. The pipe has a diameter of 50 mm at point A, and at points B and C, the diameter is 27 mm. The density of water (\( \rho_w \)) is 1000 kg/m\(^3\). ([Figure 1](#))

**Figure Explanation:**

- The diagram shows a bent pipe with three key points labeled A, B, and C.
- Water enters at A with a velocity \( v = 18 \, \text{m/s} \).
- It flows out at B and C with the same velocity.
- The elbow or bend in the pipe is depicted where forces act to maintain equilibrium.

**Tasks:**

### Part A

Determine the \( x \) component of force exerted on the elbow necessary to hold the pipe assembly in equilibrium.

- Express your answer to three significant figures and include the appropriate units.
- Input fields are provided for the value and units of \( F_x \).

### Part B

Determine the \( y \) component of force exerted on the elbow necessary to hold the pipe assembly in equilibrium.

- Express your answer to three significant figures and include the appropriate units.
- Input fields are provided for the value and units of \( F_y \).

**Interactive Components:**

- Fields to submit answers for both parts.
- Buttons for submitting and requesting answers.
Transcribed Image Text:# Problem 15.120 **Description:** The gauge pressure of water at point A is 150.5 kPa. Water flows through the pipe at point A with a velocity of 18 m/s and exits the pipe at points B and C with the same velocity \( v \). Neglect the weight of water within the pipe and the weight of the pipe. The pipe has a diameter of 50 mm at point A, and at points B and C, the diameter is 27 mm. The density of water (\( \rho_w \)) is 1000 kg/m\(^3\). ([Figure 1](#)) **Figure Explanation:** - The diagram shows a bent pipe with three key points labeled A, B, and C. - Water enters at A with a velocity \( v = 18 \, \text{m/s} \). - It flows out at B and C with the same velocity. - The elbow or bend in the pipe is depicted where forces act to maintain equilibrium. **Tasks:** ### Part A Determine the \( x \) component of force exerted on the elbow necessary to hold the pipe assembly in equilibrium. - Express your answer to three significant figures and include the appropriate units. - Input fields are provided for the value and units of \( F_x \). ### Part B Determine the \( y \) component of force exerted on the elbow necessary to hold the pipe assembly in equilibrium. - Express your answer to three significant figures and include the appropriate units. - Input fields are provided for the value and units of \( F_y \). **Interactive Components:** - Fields to submit answers for both parts. - Buttons for submitting and requesting answers.
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