A determinate structure
- Acannot be analyzed without the correct knowledge of modulus of elasticity
- Bmust necessarily have roller support at one of its ends
- Crequires only statical equilibrium equations for its analysisCorrect
- Dwill have zero deflection at its ends
Solution
Concept
Properties of statically determinate structures
Formula
NONE
Step-by-step solution
1. Structural analysis categorizes systems into statically determinate or statically indeterminate structures. 2. A statically determinate structure has unknown support reactions and internal stresses that can be solved using only static equilibrium equations. 3. Material properties like elastic modulus or cross-sectional sizes are not required to determine internal forces in determinate structures. Answer: C
Explanation
A statically determinate structure is one whose internal forces and reaction components can be determined entirely using static equilibrium equations. Its structural analysis does not depend on material properties like elasticity or cross-sectional geometry. Consequently, only basic equilibrium equations are required to solve for all unknown forces.
Why the other options are wrong
A) Analysis of determinate structures is independent of material properties like modulus of elasticity. B) Determinate structures do not strictly require a roller support, as long as static equilibrium conditions are met. D) Determinate structures experience non-zero deflections under loaded conditions.
Shortcut
Determinate = Solvable using static equilibrium equations alone.
Common mistake
Believing that material properties like the modulus of elasticity are required to find reactions in a determinate structure.
Correct answer: C) requires only statical equilibrium equations for its analysis