High School

What is the nominal moment capacity, [tex]M_n[/tex], of the given T-beams, assuming [tex]f'_c = 3000 \, \text{psi}[/tex] and [tex]f_y = 60000 \, \text{psi}[/tex]?

A. [tex]M_n = 1.2 \, \text{kip-ft}[/tex]
B. [tex]M_n = 2.5 \, \text{kip-ft}[/tex]
C. [tex]M_n = 3.8 \, \text{kip-ft}[/tex]
D. [tex]M_n = 4.7 \, \text{kip-ft}[/tex]

Answer :

Final answer:

The nominal moment capacity of T-beams can’t be determined with only the strength of concrete and steel given. Additional information like dimensions and the arrangement of the reinforcements is needed.

Explanation:

This question is about determining the nominal moment capacity (Mn) of T-beams, given the compressive strength of concrete (f'c = 3000 psi) and the yield strength of steel (fy = 60000 psi). The nominal moment capacity of a T-beam depends on factors such as the size of the beam, the arrangement of the reinforcement, and property of materials.

However, to specifically calculate Mn, information such as the base width, web thickness, overall depth of T-beam section and the area of steel is needed. Without these, it's not possible to determine the exact Mn value amongst the four options provided (1.2 kip-ft, 2.5 kip-ft, 3.8 kip-ft, 4.7 kip-ft).

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