The mechanical workshop need a hydraulic press. The diameter of Piston B is 180 mm and moves up by 12 mm. The force applied on Piston A is 550 N. Piston A moves 60 mm downwards. Use the specifications shown in FIGURE 9.1 and calculate the following: (Hint: $V_A = V_B$) 9.1.1 The diameter of Piston A 9.1.2 The pressure exerted on Piston A 9.1.3 The force exerted on Piston B 9.2.1 Name the type of stress that the bush material is subjected to. 9.2.2 Calculate the stress in the material. Indicate the answer in MPa.

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The mechanical workshop need a hydraulic press - NSC Mechanical Technology Welding and Metalwork - Question 9 - 2017 - Paper 1

Question 9

The mechanical workshop need a hydraulic press. The diameter of Piston B is 180 mm and moves up by 12 mm. The force applied on Piston A is 550 N. Piston A moves 60 m... show full transcript

Worked Solution & Example Answer:The mechanical workshop need a hydraulic press - NSC Mechanical Technology Welding and Metalwork - Question 9 - 2017 - Paper 1

Step 1

9.1.1 The diameter of Piston A

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Answer

To calculate the diameter of Piston A, we use the relationship derived from the volumes of both pistons:

Given that the volume of Piston A is equal to the volume of Piston B, we have:

V_A = A_A imes L_A = A_B imes L_B

Where:

Diameter of Piston B, $D_B = 0.180 ext{ m}$
Stroke length of Piston B, $L_B = 0.012 ext{ m}$
Stroke length of Piston A, $L_A = 0.060 ext{ m}$

Calculating the area for Piston B:

A_B = rac{ rac{ au}{4} D_B^2}{ ext{where} au ext{ is pi}}

The area of Piston A, $A_A$ , can be found using the equation for the volume:

A_B imes L_B = A_A imes L_A

By substituting the relevant values, we can solve for the diameter $D_A$ of Piston A.

Step 2

9.1.2 The pressure exerted on Piston A

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Answer

The pressure on Piston A is calculated using the formula:

P_A = rac{F_A}{A_A}

Where:

$F_A = 550 ext{ N}$
$A_A$ is the area of Piston A computed in the previous step.

Using the computed values, we simplify to:

P_A = rac{550 ext{ N}}{A_A}

This gives the pressure exerted on Piston A.

Step 3

9.1.3 The force exerted on Piston B

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Answer

The force exerted on Piston B can be calculated using the pressure found in the previous step:

F_B = P_B imes A_B

Where:

$P_B = P_A$ (because of Pascal's principle)
$A_B$ is the area of Piston B.

After substituting the known values, we will derive the force exerted on Piston B.

Step 4

9.2.1 Name the type of stress that the bush material is subjected to.

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Answer

The bush material is subjected to compressive stress due to the load applied by the hydraulic press.

Step 5

9.2.2 Calculate the stress in the material. Indicate the answer in MPa.

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Answer

Stress can be calculated using the formula:

ext{Stress} = rac{Force}{Area}

Where:

Force is the force exerted on the bush
Area is the cross-sectional area of the bush.

Substituting in the values and converting to MPa as needed, we can find the desired stress value.

The mechanical workshop need a hydraulic press - NSC Mechanical Technology Welding and Metalwork - Question 9 - 2017 - Paper 1

Worked Solution & Example Answer:The mechanical workshop need a hydraulic press - NSC Mechanical Technology Welding and Metalwork - Question 9 - 2017 - Paper 1

9.1.1 The diameter of Piston A

9.1.2 The pressure exerted on Piston A

9.1.3 The force exerted on Piston B

9.2.1 Name the type of stress that the bush material is subjected to.

9.2.2 Calculate the stress in the material. Indicate the answer in MPa.

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