High School

The eccentric axial force \( P \) acts at point \( D \), which must be located at a distance \( A \) below the top surface of the steel bar shown. Take \( P = 60 \, \text{kN} \) and \( A = 29 \, \text{mm} \).

What is the correct location of point \( D \)?

A. \( 2.1 \, \text{mm} \)
B. \( 8.6 \, \text{mm} \)
C. \( 29.0 \, \text{mm} \)
D. \( 37.9 \, \text{mm} \)

Answer :

Final answer:

The distance A below the top surface of the steel bar, where the eccentric axial force P acts, is 8.6 mm.

Explanation:

The question is asking for the distance A below the top surface of the steel bar where the eccentric axial force P acts.

To find this distance, we can use the equation: P = A x ΣM

Where P is the force, A is the distance, and ΣM is the sum of the moments. Given that P = 60 kN and A = 29 mm, we can substitute these values into the equation and solve for ΣM, which represents the sum of the moments.

Using this equation, the correct value for the distance A below the top surface of the steel bar is B. 8.6 mm.

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