Detailed Answer:



The statement "Indeterminate analysis of a symmetrical structure is difficult from that of a non-symmetric one" is false. Indeterminate analysis refers to the calculation of unknown reactions, internal forces, and displacements in a structure. While the presence of symmetry simplifies the analysis, it does not necessarily make it more difficult.



Symmetry in Structures: A structure is considered symmetrical when it possesses a balanced arrangement of its elements or components. This can include symmetry about a central axis, as well as symmetry about a plane or multiple planes. Symmetry is a common feature in many structures, such as buildings, bridges, and machines.

Advantages of Symmetry: The presence of symmetry in a structure offers several advantages:

1. Simplification of Geometry: Symmetry allows for the simplification of the structure's geometry, as certain elements or sections can be mirrored or replicated. This simplification reduces the number of unknowns in the analysis.

2. Reduction of Unknown Forces: Symmetry ensures that certain forces or reactions are balanced, eliminating the need to calculate them separately. This reduces the complexity of the analysis.

3. Conservation of Energy: Symmetry often leads to the conservation of energy in a structure, as forces and displacements are evenly distributed. This can simplify the determination of internal forces and displacements.



Non-Symmetric Structures: Non-symmetrical structures do not possess a balanced arrangement of their elements or components. They can have irregular shapes, varied load distributions, or lack any form of symmetry.

Challenges of Non-Symmetrical Structures: The analysis of non-symmetrical structures can be more challenging due to the following reasons:

1. Complex Geometry: Non-symmetrical structures often have complex geometries, making it difficult to determine the internal forces and displacements accurately.

2. Varied Load Distribution: The load distribution in non-symmetrical structures is often uneven, leading to varying internal forces throughout the structure. Analyzing these variations requires more detailed calculations.

3. Increased Unknowns: Non-symmetrical structures typically have a higher number of unknown reactions and internal forces compared to symmetrical structures. This increases the complexity of the analysis.



In conclusion, the statement that indeterminate analysis of a symmetrical structure is difficult compared to a non-symmetrical one is false. Symmetry in a structure simplifies the analysis by reducing unknowns, simplifying geometry, and conserving energy. Non-symmetrical structures, on the other hand, present challenges such as complex geometry, varied load distribution, and increased unknowns. Therefore, while the analysis of non-symmetrical structures may be more complex, the presence of symmetry in a structure does not necessarily make the analysis more difficult.