A two hinged arch is statically indeterminate by
By BYJU'S Exam Prep
Updated on: September 25th, 2023
- 3 degree
- 2 degree
- 1 degree
- 0 degree
A two-hinged arch is statically indeterminate by 1 degree. Mainly there are three types of arches in practice namely three-hinged, two-hinged, and hingeless arches. Three-hinged arches were commonly used for the long-span structures as the analysis of such arches could be done with confidence.
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Answer: Two-hinged arch is the statically indeterminate structure to degree one.
In the Two-hinged arch, the horizontal reaction is treated as redundant and is evaluated by the method of least work. There are four unknown reactions in this type of arch but there are only three equations of equilibrium available. Therefore, the degree of statical indeterminacy for the two-hinged arch is one.
Considering the deformation of the arch, the fourth equation can be written. The unknown redundant reaction is calculated by noting that the horizontal displacement of the hinge is zero. In general, the application of the theorem of least work is used to evaluate the horizontal reaction in the two-hinged arch.
Summary:
How is a two-hinged arch statically indeterminate?
A two-hinged arch is statically indeterminate by 1 degree.
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