In a statically indeterminate beam, if the support reactions are not sufficient
Practice Questions
Q1
In a statically indeterminate beam, if the support reactions are not sufficient to maintain equilibrium, what method can be used to analyze the structure?
Method of Joints
Method of Sections
Superposition
Stiffness Method
Questions & Step-by-Step Solutions
In a statically indeterminate beam, if the support reactions are not sufficient to maintain equilibrium, what method can be used to analyze the structure?
Step 1: Understand that a statically indeterminate beam has more support reactions than necessary for equilibrium.
Step 2: Recognize that traditional methods (like sum of forces and moments) won't work alone because there are too many unknowns.
Step 3: Learn about the stiffness method, which is a way to analyze these structures.
Step 4: The stiffness method involves calculating the stiffness of each member of the beam.
Step 5: Consider how much each member deforms under load, which is called compatibility of deformations.
Step 6: Set up equations that relate the forces and deformations in the structure.
Step 7: Solve these equations to find the unknown support reactions and internal forces.
