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What is the maximum load that can be supported by a column with a cross-sectional area of 144 ft² if the compressive stress is limited to 200 psf?
What is the maximum load that can be supported by a column with a cross-sectional area of 144 ft² if the compressive stress is limited to 200 psf?
If the cross-sectional area of a column is doubled, while maintaining the same maximum compressive stress limit, what will be the new maximum load?
If the cross-sectional area of a column is doubled, while maintaining the same maximum compressive stress limit, what will be the new maximum load?
What would be the effect on the maximum load capacity if the allowable compressive stress is reduced to 100 psf with the original area of 144 ft²?
What would be the effect on the maximum load capacity if the allowable compressive stress is reduced to 100 psf with the original area of 144 ft²?
If the area of a column is reduced to 72 ft² while keeping the compressive stress at 200 psf, what would be the resulting maximum load capacity?
If the area of a column is reduced to 72 ft² while keeping the compressive stress at 200 psf, what would be the resulting maximum load capacity?
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What is a significant factor that would decrease the maximum load on a column besides the reduction of cross-sectional area?
What is a significant factor that would decrease the maximum load on a column besides the reduction of cross-sectional area?
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Study Notes
Maximum Load Calculation
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The maximum load a column can support is determined by the allowable compressive stress and the cross-sectional area of the column.
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Compressive stress is the force applied perpendicular to a surface area, divided by the area.
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Stress (σ) = Force (F) / Area (A)
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In this case, the cross-sectional area (A) is given as 144 ft².
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The maximum compressive stress allowed is 200 psf (pounds per square foot).
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To find the maximum load (F), rearrange the formula:
- F = σ × A
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Substitute the given values:
- F = 200 psf × 144 ft²
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Calculate the maximum load:
- F = 28,800 lbs
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Therefore, the maximum load that can be applied to the column is 28,800 pounds.
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Description
This quiz focuses on calculating the maximum load a column can support based on compressive stress and cross-sectional area. You will learn to apply the formula for stress to determine the maximum load applicable to a column under certain conditions. Test your understanding of these fundamental concepts in structural engineering.
