The centroid of compressive force, from the extreme compression fiber, in limit state design lies at a distance of (where xu is the depth of neutral axis at the limit state of collapse) A. 0.367 xu B. 0.416 xu C. 0.446 xu D. 0.573 xu

0.367 xu
0.416 xu
0.446 xu
0.573 xu

The correct answer is $\boxed{\text{B. }0.416 xu}$.

The centroid of compressive force is the point at which the total compressive force acting on a cross-section can be considered to act. It is located at a distance of $0.416 xu$ from the extreme compression fiber, where $xu$ is the depth of the neutral axis at the limit state of collapse.

The neutral axis is the line in a cross-section of a beam where there is no tension or compression. The depth of the neutral axis is the distance from the extreme compression fiber to the neutral axis.

The centroid of compressive force is located at a distance of $0.416 xu$ from the extreme compression fiber because this is the point at which the compressive force is evenly distributed across the cross-section.

The other options are incorrect because they do not represent the correct distance from the extreme compression fiber to the centroid of compressive force.