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For a loading with values 5.71 and 5.72 and an allowable normal stress of 24 ksi for the steel used, which wide-flange beam is the most economical?

A. Beam X
B. Beam Y
C. Beam Z
D. Beam W

Answer :

Final answer:

To choose the most economical beam, you need additional information such as dimensions and material properties of beams X, Y, Z, and W to compute the section modulus based on the load and allowable stress.

Explanation:

To identify the most economical beam for the given loading values of 5.71 and 5.72 and an allowable normal stress of 24 ksi for the steel, you would require additional information such as the dimensions and material properties of the beams X, Y, Z, and W. Without this information, it's not possible to determine which beam would be the most cost-effective choice.

Normally, you would calculate the required section modulus for the beams based on the bending moment generated by the given loads and compare it with the section modulus that each beam can provide. The beam that satisfies the strength requirements with the least amount of material (i.e., smaller section modulus) would generally be considered the most economical choice. Remember to also consider factors such as availability, fabrication costs, and any other design constraints that might affect the overall economy of the beam choice.

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