Discussion
Which of the following is a statically determinate structure ?
Answer: D
The statically determinate structure is the three hinged arch.
A three hinged arch has four reaction components, two at each support. The three equations of equilibrium plus the condition that the bending moment is zero at the crown hinge give four equations, so all reactions can be found by statics alone.
A two hinged arch has the same four reactions but no crown hinge, so it is indeterminate to the first degree. A propped cantilever has one redundant reaction, and a continuous beam has one or more redundant supports, so all three need compatibility conditions as well.
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