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 A statically indeterminate structure is the one which:
1. Cannot be analyzed at all
2. Can be analyzed using equations of statics only
3. Can be analyzed using equations of statics and compatibility equations
4. Can be analyzed using equations of compatibility only

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Correct Answer - Option 3 : Can be analyzed using equations of statics and compatibility equations

Explanation:

(i) If a structure is determinate then equations of equilibrium(ΣFx = 0, ΣFy = 0, ΣM = 0) are enough to find reaction, shear force, bending moment, and axial thrust at supports and members.

(ii) The equilibrium conditions do not involve the use of properties of materials and cross-section.

(iii) If the structure is indeterminate then apart from equilibrium conditions extra compatibility conditions (Relation between deformation) are required which depend upon the properties of materials and cross-section.

(iv) If properties of materials are known then exact methods can be used to analyze the structure but if the properties of material are not known then approximate methods may be used.

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