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FIGURE 7.1 below is a diagram of a steel framework - NSC Mechanical Technology Welding and Metalwork - Question 7 - 2022 - Paper 1
Question 7
FIGURE 7.1 below is a diagram of a steel framework. Answer the questions that follow. (Use Bow's notation.) Scale: Space diagram: 10 mm = 1 m Force/Vector diagr... show full transcript
Worked Solution & Example Answer:FIGURE 7.1 below is a diagram of a steel framework - NSC Mechanical Technology Welding and Metalwork - Question 7 - 2022 - Paper 1
Step 1
7.1.1 Draw the space diagram and label the spaces.
Answer
To create the space diagram, first identify the members of the steel framework as follows:
- Strut AD: The inclined member connecting points A and D.
- Strut BD: The vertical member connecting points B and D.
- Tie CD: The horizontal member connecting points C and D.
Use Bow's notation by labeling the forces acting on these members. It is important to maintain the clockwise rotation when assigning the forces.
Step 2
7.1.2 Determine graphically the magnitude of each member of the framework.
Answer
To determine the magnitudes of the members:
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Draw the force vectors to scale using the information given:
- For member AD, calculate the components using the angle of 30° and the force of 600 N.
- For member BD, since it is vertical, it directly supports the vertical component.
- For member CD, balance the horizontal forces with the 300 N each.
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Use geometric construction to find the resulting forces from the vector diagram created for the previous part. Measure these forces to obtain the values of the members as:
- BD: 510 N
- AD: 590 N
- CD: 590 N.
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Indicate the nature of each member:
- Tension in the ties CD and AD.
- Compression in the strut BD.