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Which of the following should be the defined structure of a three hinged arch?

Which of the following should be the defined structure of a three hinged arch? Correct Answer Statically determinate structure

Explanation:

(i) Three hinged arch is a determinate structure. If arch is intially unloaded (neglecting self weight) then due to rise of temperature there will be no horizontal or vertical reaction included. The rise of the temperature increases the length of the arch. Since the ends do not moves hence the crown height will increases.

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(ii) Two hinged arch is an indeterminate structure. With the increase in temperature, the horizontal thrust at supports of the arch increases. As the crown is at maximum distance from horizontal support, the maximum bending moment increases is at crown.

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