In an internally indeterminate truss if the area of cross section of a redundant member is double

Explanation:

• In an internally indeterminate truss, the forces depend on the overall geometry and load, not just on the cross-sectional area of individual members.

• Changing the area of a redundant member affects its stiffness, but the force in that member is determined by equilibrium and compatibility conditions.

• Increasing the cross-sectional area does not directly change the internal force; it changes the member's ability to carry that force safely (strength and stiffness), not the force itself.

• Therefore, doubling the area does not affect the force in that member.

 Additional Information

• A truss is said to be statically determinate if its internal forces can be found using only equilibrium equations.

• Redundancy refers to the presence of extra members or supports beyond what is needed for static determinacy.

• A truss with redundant members is called internally indeterminate, meaning forces cannot be found by equilibrium alone; compatibility and deformation analysis are also required.

• Redundant members provide additional load paths, improving structural reliability and stiffness.

• However, redundancy complicates analysis and design because the structure’s response depends on material properties and deformation compatibility.