A constant-angle arch dam ( = 150) is designed to span a vertical-walled canyon 150 m

Question:

A constant-angle arch dam ( θ = 150°) is designed to span a vertical-walled canyon 150 m wide. The height of the dam is 7 8 m, including 3 m of freeboard. If the dam has 4 m thickness at the crest and has a symmetrical cross section that increases its thickness to 11.8 mat the base, determine the masonry stress in the dam using the cylinder method (constant radii) for approximate analysis at
(a) The crest,
(b) The midheight, and
(c) The dam base.