Discussion
Which of the following statements is/are correct about the analysis of three-hinged arches?
A. Horizontal thrust may be found by using Castigliano's first theorem.
B. A three-hinged arch may have circular or parabolic shape.
Answer: C
Both statements are correct, as the key shows. The horizontal thrust of a three-hinged arch is found from the extra condition that the moment at the crown hinge is zero, and in principle an energy method such as Castigliano's theorem can also be used to find the unknown thrust. Both circular and parabolic arches are used, the parabolic one being the funicular shape for a uniformly distributed load. I follow the official key; the first statement is the one a reader may want to check.
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