**Transcription for Educational Website:**---### Problem 3A pump is utilized to transport water at a rate of 0.075 m³/s from a reservoir positioned 20 meters above the pump, to a free discharge point located 35 meters above the pump. The pressure at the intake side of the pump is 150 kPa, and the pressure on the discharge side is 450 kPa. All pipes are composed of commercial steel with an inner diameter of 15 cm.**Tasks:**Determine:(a) The head supplied by the pump.(b) The total head loss between the pump discharge and the point of free discharge.---### Diagram ExplanationThe diagram accompanying the problem provides a visual representation of the system:- **Reservoir Position:** The reservoir is marked as point 1, with a height \( z_1 = 20 \) meters. - **Pump Intake:** At point 2, directly before the pump, the water pressure is \( p_2 = 150 \) kPa.- **Pump Discharge:** Point 3 illustrates the output side of the pump, where the pressure is \( p_3 = 450 \) kPa.- **Pipe System:** The pipes through which the water flows have a consistent inner diameter \( D = 15 \) cm.- **Free Discharge Point:** The water is discharged freely at point 4, positioned at a height \( z_4 = 35 \) meters above the pump.The diagram helps to visualize the flow path and pressure changes within the system, which are crucial for solving the given tasks.

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3. A pump is used to transport water at the rate of 0.075 m³/s from a reservoir 20 m above the pump to a free discharge 35 m above the pump. The pressure on the intake side of the pump is 150 kPa and the pressure on the discharge side is 450 kPa. All pipes are commercial steel of 15 cm inner diameter. Determine (a) The head supplied by the pump (b) The total head loss between the pump discharge and point of free discharge. Z₁=20 m 1 P₂ = 150 kPa 2 面 3 D=15 cm A P3=450 kPa 4 Free Discharge Z4 = 35 m

3. A pump is used to transport water at the rate of 0.075 m³/s from a reservoir 20 m above the pump to a free discharge 35 m above the pump. The pressure on the intake side of the pump is 150 kPa and the pressure on the discharge side is 450 kPa. All pipes are commercial steel of 15 cm inner diameter. Determine (a) The head supplied by the pump (b) The total head loss between the pump discharge and point of free discharge. Z₁=20 m 1 P₂ = 150 kPa 2 面 3 D=15 cm A P3=450 kPa 4 Free Discharge Z4 = 35 m

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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**Transcription for Educational Website:**

---

### Problem 3

A pump is utilized to transport water at a rate of 0.075 m³/s from a reservoir positioned 20 meters above the pump, to a free discharge point located 35 meters above the pump. The pressure at the intake side of the pump is 150 kPa, and the pressure on the discharge side is 450 kPa. All pipes are composed of commercial steel with an inner diameter of 15 cm.

**Tasks:**

Determine:

(a) The head supplied by the pump.

(b) The total head loss between the pump discharge and the point of free discharge.

---

### Diagram Explanation

The diagram accompanying the problem provides a visual representation of the system:

- **Reservoir Position:** The reservoir is marked as point 1, with a height \( z_1 = 20 \) meters.

- **Pump Intake:** At point 2, directly before the pump, the water pressure is \( p_2 = 150 \) kPa.

- **Pump Discharge:** Point 3 illustrates the output side of the pump, where the pressure is \( p_3 = 450 \) kPa.

- **Pipe System:** The pipes through which the water flows have a consistent inner diameter \( D = 15 \) cm.

- **Free Discharge Point:** The water is discharged freely at point 4, positioned at a height \( z_4 = 35 \) meters above the pump.

The diagram helps to visualize the flow path and pressure changes within the system, which are crucial for solving the given tasks.

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