6.62 This bend discharges water (p = 1000 kg/m³) into the atmosphere at section 2. Determine the force components at the flange required to hold the bend in place. The bend lies in a hori- zontal plane. Assume viscous forces are negligible. The interior volume of the bend is 0.25 m³, D₁ = 60 cm, D₂ = 10 cm, and V₂ = 15 m/s. The mass of the bend material is 250 kg. Answer D₁ V₂ Problem 6.62 D2 60°

Structural Analysis
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Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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**Problem 6.62**

This bend discharges water (\( \rho = 1000 \, \text{kg/m}^3 \)) into the atmosphere at section 2. Determine the force components at the flange required to hold the bend in place. The bend lies in a horizontal plane. Assume viscous forces are negligible. The interior volume of the bend is \( 0.25 \, \text{m}^3 \), \( D_1 = 60 \, \text{cm} \), \( D_2 = 10 \, \text{cm} \), and \( V_2 = 15 \, \text{m/s} \). The mass of the bend material is \( 250 \, \text{kg} \).

**Diagram Explanation:**

- The diagram depicts a pipe bend with a horizontal flow.
- The bend has two sections: the larger diameter input \( D_1 = 60 \, \text{cm} \) and the smaller diameter output \( D_2 = 10 \, \text{cm} \).
- Water is discharged from the bend making a 60° angle with the horizontal plane (x-axis).
- \( V_2 = 15 \, \text{m/s} \) represents the velocity of water at section 2.
- The arrows indicate flow direction and the external force required to hold the bend.

This setup requires calculating the forces necessary to maintain equilibrium, taking into account water dynamics and mass of the material.
Transcribed Image Text:**Problem 6.62** This bend discharges water (\( \rho = 1000 \, \text{kg/m}^3 \)) into the atmosphere at section 2. Determine the force components at the flange required to hold the bend in place. The bend lies in a horizontal plane. Assume viscous forces are negligible. The interior volume of the bend is \( 0.25 \, \text{m}^3 \), \( D_1 = 60 \, \text{cm} \), \( D_2 = 10 \, \text{cm} \), and \( V_2 = 15 \, \text{m/s} \). The mass of the bend material is \( 250 \, \text{kg} \). **Diagram Explanation:** - The diagram depicts a pipe bend with a horizontal flow. - The bend has two sections: the larger diameter input \( D_1 = 60 \, \text{cm} \) and the smaller diameter output \( D_2 = 10 \, \text{cm} \). - Water is discharged from the bend making a 60° angle with the horizontal plane (x-axis). - \( V_2 = 15 \, \text{m/s} \) represents the velocity of water at section 2. - The arrows indicate flow direction and the external force required to hold the bend. This setup requires calculating the forces necessary to maintain equilibrium, taking into account water dynamics and mass of the material.
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