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If the slenderness ratio is calculated to be 56.3, what is the correct corresponding unfactored compressive unit stress, [tex]F_c[/tex], that should be used?

A. It is not possible to determine
B. 39.4 ksi
C. 49 ksi
D. 39.8 ksi

Answer :

The correct answer is a). it is not possible to determine. Determining the Unfactored Compressive unit stress (Fc) from the slenderness ratio requires additional information such as material properties and design codes, which are not provided; hence, it is not possible to determine Fc from the slenderness ratio alone.

In the context of engineering, the slenderness ratio is a measure used to calculate the critical buckling load for columns. It is defined as the effective length of the column divided by the radius of gyration of its cross-section. In practice, the higher the slenderness ratio, the more susceptible the column is to buckling under axial compression. When it comes to determining the correct corresponding Unfactored Compressive unit stress.

Fc, this would typically require the use of column design charts or formulas based on the material properties and design codes such as those by the American Institute of Steel Construction (AISC) for steel columns, for instance. Without such information or context, it is not possible to accurately determine the Unfactored Compressive unit stress, Fc based solely on the slenderness ratio. Therefore, the correct answer is a). it is not possible to determine.

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