An arch carrying a non$-$uniformly distributed load is intended to be funicular. See the diagram shown.

a$)$ Calculate the maximum compression in the arch b$)$ The design team wants to do some relief carving in the material which will reduce the cross$-$sectional

area of the arch to $3/4$ of the original design. If the arch cross$-$section was sized to handle $125$kN of

compression, at what distance, horizontally and vertically from A will the relief carving be safe to begin?