A steel frame office building has the framework section shown in the diagram. The vertical supports are 2.2 m apart and 52.8 m high. If the diagonal braces have length 2.75 m, how... A steel frame office building has the framework section shown in the diagram. The vertical supports are 2.2 m apart and 52.8 m high. If the diagonal braces have length 2.75 m, how many are needed for this section?
Understand the Problem
The question asks us to determine the number of diagonal braces needed for a steel frame office building section, given the height of the section, the spacing of the vertical supports, and the length of the diagonal braces.
Answer
48
Answer for screen readers
48
Steps to Solve
- Find the number of vertical sections
Divide the total height of the frame by the distance between the vertical supports.
$$ \frac{52.8 \text{ m}}{2.2 \text{ m}} = 24 $$
- Determine the number of diagonal braces per section
From the image, there are 2 diagonal braces per section between the vertical supports.
- Calculate the total number of diagonal braces
Multiply the number of vertical sections by the number of diagonal braces per section.
$24 \times 2 = 48$
48
More Information
The building section requires 48 diagonal braces.
Tips
A common mistake is to only calculate the number of vertical sections (24) and forget to multiply by the number of diagonal braces in each section (2). Also errors could arise from misinterpreting the image, especially the repeating pattern of the braces.
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