Problem 2: Water at 20°C flows through the elbow shown in Fig. 1 and exits to the atmosphere. The mass flow rate is 18 Kg/s. The pipe diameter is D₁ = 10 cm, while D2 = 3 cm, and the center point of exit 2 is 1.2 m directly below the flange center. Neglecting the weight of water and elbow, and neglecting friction forces, 40° a) Determine the gage pressure at the flange located at section1. b) Determine the horizontal and the vertical force required to hold the elbow at the flange 1. c) Find the torque caused on flange 1. Ywater = 9810 N/m³

Problem 2: Water at 20°C flows through the elbow shown in Fig. 1 and exits to the atmosphere. The mass flow rate is 18 Kg/s. The pipe diameter is D₁ = 10 cm, while D2 = 3 cm, and the center point of exit 2 is 1.2 m directly below the flange center. Neglecting the weight of water and elbow, and neglecting friction forces, 40° a) Determine the gage pressure at the flange located at section1. b) Determine the horizontal and the vertical force required to hold the elbow at the flange 1. c) Find the torque caused on flange 1. Ywater = 9810 N/m³

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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Concept explainers

Open Channel Flow

Open channel flow is a branch of fluid mechanics. It deals with the flow of fluid in an open conduit or free surface. In an open channel flow, gravity induces the flow of water whose surface is open to the air. This flow is free-falling rather than confined in rigid body conduits. The open channel flow depends upon two parameters that are the cross-section of the conduit and the velocity profile. Practical examples of open channel flow are streams, rivers, canals, and other drainage systems.In open channel flow, the cross-sectional area of at least one of the sides is exposed to air, and the surface of water faces atmospheric pressure. This flow is also known as free gravity flow. The cross-sectional area of the conduit can be either man-made or a natural channel. For instance, the flow in rivers and streams are natural conduits, and the flow in a canal and sanitary systems are man-made or engineered channels.

Question

Problem 2: Water at 20°C flows through the elbow shown in Fig. 1 and exits to the atmosphere.
The mass flow rate is 18 Kg/s. The pipe diameter is D₁ = 10 cm, while D₂ = 3 cm, and the center
point of exit 2 is 1.2 m directly below the flange center.
Neglecting the weight of water and elbow, and neglecting friction forces,
a)
b)
40°
2
Determine the gage pressure at the flange
located at section1.
Determine the horizontal and the vertical force
required to hold the elbow at the flange 1.
c) Find the torque caused on flange 1.
Ywater = 9810 N/m²³

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Step 1: Stating given and to determine data

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Step 2: Calculating Gauge pressure at section 1

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Step 3: Calculating horizontal and the vertical force required to hold the elbow at the flange 1

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Step 4: Finding the torque caused on flange 1.

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