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7.1 Define the following terms: 7.1.1 Stress: Stress is the internal resistance of a body to an external force or load - NSC Mechanical Technology Welding and Metalwork - Question 7 - 2021 - Paper 1

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7.1-Define-the-following-terms:--7.1.1-Stress:--Stress-is-the-internal-resistance-of-a-body-to-an-external-force-or-load-NSC Mechanical Technology Welding and Metalwork-Question 7-2021-Paper 1.png

7.1 Define the following terms: 7.1.1 Stress: Stress is the internal resistance of a body to an external force or load. It is defined as the force exerted per unit... show full transcript

Worked Solution & Example Answer:7.1 Define the following terms: 7.1.1 Stress: Stress is the internal resistance of a body to an external force or load - NSC Mechanical Technology Welding and Metalwork - Question 7 - 2021 - Paper 1

Step 1

7.1.1 Stress:

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Answer

Stress is the internal force per unit area that develops within a material in response to an external force applied to it. It is measured in Pascals (Pa) and is essential for understanding how materials will behave under various loads.

Step 2

7.1.2 Hooke's law:

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Hooke's law articulates that the deformation of a material is directly proportional to the applied load, as long as that load does not exceed the material's elastic limit. This relationship is commonly expressed in the equation:

extStress=EimesextStrain ext{Stress} = E imes ext{Strain}

where E is the modulus of elasticity of the material.

Step 3

7.2.1 Construct the space diagram according to the given scale of 10 mm = 1 m.

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Answer

To construct the space diagram:

  1. Start by plotting points A, B, C, and D according to the measurements given in the problem statement.
  2. From point D, draw a vertical line to represent the 200 N force acting downward.
  3. Draw the lengths of member AD at the angle of 60° and member CD at the angle of 30°, ensuring accurate angular representation.
  4. Label each member clearly and indicate all forces acting on the structure.

Step 4

7.2.2 Construct the vector diagram using scale 1 mm = 1 N.

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To build the vector diagram:

  1. Begin at point D and draw the reaction forces based on the dimensions specified.
  2. From point D, construct the vector for the 200 N force downward.
  3. Using the scale, represent each force as a line: 200 N, 150 N, and 50 N, accordingly.
  4. Ensure to preserve the angle between the members and accurately represent the overall force system.

Step 5

7.2.3 Determine the magnitude and the nature of the forces in members AD, BD and CD from the vector diagram.

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Answer

Using the vector diagram:

  1. For member AD: The calculated force is between 172 N to 176 N, indicating it is a structural member supporting tension.
  2. For member BD: The force measured is 100 N to 104 N, showing it also operates in tension.
  3. For member CD: The force in this member is between 87 N to 91 N suggesting it functions as a tie member.

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