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Reinforced concrete has a density of [tex]D = 196 \, \text{lb/ft}^3[/tex]. What is the weight in pounds per linear foot (lb/ft) of a concrete beam with a 10 in. x 22 in. cross-section?

Answer :

Final answer:

The weight of the concrete beam per linear foot is approximately 299.292 lb/ft.

Explanation:

To calculate the weight per linear foot of a concrete beam, we need to determine its volume and then multiply it by the density of reinforced concrete.

Given:

  • Density of reinforced concrete (D) = 196 lb/ft^3
  • Cross-sectional dimensions: 10 in. x 22 in.

First, we need to convert the dimensions of the cross section to feet:

  • 10 in. = 10/12 ft = 0.833 ft
  • 22 in. = 22/12 ft = 1.833 ft

Next, we calculate the cross-sectional area:

  • Area = length x width = 0.833 ft x 1.833 ft = 1.527 ft^2

Now, we can calculate the weight per linear foot:

  • Weight per linear foot = Volume x Density = Area x Length x Density = 1.527 ft^2 x 1 ft x 196 lb/ft^3 = 299.292 lb/ft

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