Indeterminate analysis of a symmetrical structure is difficult from th...
Answer: b
Explanation: Symmetricity makes the indeterminate analysis easier.
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Indeterminate analysis of a symmetrical structure is difficult from th...
False
Explanation:
Indeterminate analysis is the process of determining the unknown forces and moments in a structure based on a given set of external loads and boundary conditions. It involves solving a system of simultaneous equations to find these unknowns.
Symmetrical structures are those that exhibit symmetry in their geometry and loading conditions. This means that the structure has a balanced distribution of loads and boundary conditions on either side. Non-symmetrical structures, on the other hand, do not exhibit this balanced distribution.
Difficulty in Indeterminate Analysis:
1. Number of unknowns: In an indeterminate structure, the number of unknowns (forces and moments) is greater than the number of equilibrium equations available. This results in a system of equations that is not determinate and requires additional information or assumptions to solve.
2. Redundant members: Indeterminate structures often have redundant members, which are those that are not necessary for the stability of the structure. The presence of these redundant members complicates the analysis and requires additional equations to solve.
3. Compatibility conditions: Symmetrical structures have inherent compatibility conditions due to their balanced distribution of loads and boundary conditions. These conditions help in reducing the number of unknowns and simplifying the analysis process. Non-symmetrical structures do not have these inherent compatibility conditions, making the analysis more complex and challenging.
Conclusion:
Contrary to the statement, indeterminate analysis of a symmetrical structure is often easier compared to that of a non-symmetrical one. The inherent symmetry of the structure helps in reducing the number of unknowns and simplifying the analysis process.