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FIGURE 7.1 below shows a framework with members AE, BF, CF, DE and EF - NSC Mechanical Technology Welding and Metalwork - Question 7 - 2023 - Paper 1
Question 7
FIGURE 7.1 below shows a framework with members AE, BF, CF, DE and EF. Graphically determine the magnitude and type/nature of each member. Scale: Space diagram: 1 :... show full transcript
Worked Solution & Example Answer:FIGURE 7.1 below shows a framework with members AE, BF, CF, DE and EF - NSC Mechanical Technology Welding and Metalwork - Question 7 - 2023 - Paper 1
Step 1
Calculate the magnitude and type/nature of each member AE, EF, FC, BF, and ED
Answer
To determine the forces and types of each member, we can create a force diagram based on equilibrium conditions.
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For Member AE: The tension is calculated from the force components acting at point E due to loads and the geometry of the structure. The force is found to be 140 N and is under tension (Strut).
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For Member EF: Similarly, we analyze the forces acting along this member. The calculated force is 285 N, which also indicates it is under tension (Strut).
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For Member FC: We analyze the forces and find that it experiences both pulling and pushing forces from adjacent members. The resultant force is 100 N, indicating that it is under compression (Tie).
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For Member BF: After performing similar calculations, we quantify the force at this member as 100 N, indicating it is a tie as well.
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For Member ED: We find this member experiences a tension force of 100 N, thus it is classified as a tie.