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Consider the following statements regarding statically determinate structures: 1. Conditions of equilibrium are sufficient to fully analyze the structure. 2. The bending moment at a section or the force in any member is independent of the material of the components of the structure. 3. The bending moment at a section or the force in any member is independent of the cross-sectional areas of the components. Which of the above statements are correct?

Consider the following statements regarding statically determinate structures: 1. Conditions of equilibrium are sufficient to fully analyze the structure. 2. The bending moment at a section or the force in any member is independent of the material of the components of the structure. 3. The bending moment at a section or the force in any member is independent of the cross-sectional areas of the components. Which of the above statements are correct? Correct Answer 1, 2 and 3

TB Solution

Statically Determinate Structures:

1. Conditions of equilibrium are sufficient to fully analyze the structure. (Because the number of unknown reactions is equal to the equilibrium conditions)

2. The bending moment at a section or the force in any member is independent of the material of the components of the structure and cross-sectional because it depends on the type of loading and types of support acting on the structure.

Additional InformationDifference between determinate and indeterminate structures:

Determinate Structures Indeterminate Structures
1. Equilibrium conditions are fully adequate to analyse the structure Conditions of equilibrium are not adequate to fully analyse the structure.
2. Bending moment or shear force at any section is independent of the material property of the structure. Bending moment or shear force at any section depends upon the material property.
3. The bending moment or shear force at any section is independent of the cross-section or moment of inertia. The bending moment or shear force at any section depends upon the cross-section or moment of inertial.
4. Temperature variations do not cause stresses. Temperature variations cause stresses.
5. No stresses are caused due to lack of fit. Stresses are caused due to lack of fit.
6. Extra conditions like compatibility of displacements are not required to analyse the structure. Extra conditions like compatibility of displacements are required to analyse the structure along with the equilibrium equations.

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