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
Question 7
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
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:
Start by plotting points A, B, C, and D according to the measurements given in the problem statement.
From point D, draw a vertical line to represent the 200 N force acting downward.
Draw the lengths of member AD at the angle of 60° and member CD at the angle of 30°, ensuring accurate angular representation.
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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Answer
To build the vector diagram:
Begin at point D and draw the reaction forces based on the dimensions specified.
From point D, construct the vector for the 200 N force downward.
Using the scale, represent each force as a line: 200 N, 150 N, and 50 N, accordingly.
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:
For member AD: The calculated force is between 172 N to 176 N, indicating it is a structural member supporting tension.
For member BD: The force measured is 100 N to 104 N, showing it also operates in tension.
For member CD: The force in this member is between 87 N to 91 N suggesting it functions as a tie member.