What is force method and displacement method?
What is force method and displacement method?
Displacement method of analysis. In the force method of analysis,primary unknown are forces.In this method compatibility equations are written for displacement and rotations (which are calculated by force displacement equations). Solving these equations, redundant forces are calculated.
What are the displacement methods?
The displacement method (submersion, or dunking method) can be used to accurately measure the volume of the human body and other oddly shaped objects by measuring the volume of fluid displaced when the object is submerged, as illustrated in the figure below.
What is force method in structural analysis?
Force method: The force method or the method of consistent deformation is based on the equilibrium of forces and compatibility of structures. The method entails first selecting the unknown redundants for the structure and then removing the redundant reactions or members to obtain the primary structure.
Which method is a force method?
The force method (also called the flexibility method or method of consistent deformation ) is used to calculate reactions and internal forces in statically indeterminate structures due to loads and imposed deformations.
Why flexibility method is called force method?
It is called the flexibility method because flexibilities appear in the equations of compatibility. Another name for the method is the force method because forces are the unknown quantities in equations of compatibility.
What is the other name of displacement method?
Different types of displacement method: Slope deflection method. Moment distribution method. Kani’s method. Stiffness matrix method.
Why force method is called flexibility method?
There will always be as many compatibility equations as redundant. It is called the flexibility method because flexibilities appear in the equations of compatibility. Another name for the method is the force method because forces are the unknown quantities in equations of compatibility.
What is displacement factor in structural analysis?
The distance travelled by one component or part (beam, column, frame, etc.) from its original location is referred to as displacement.
What is meant by stiffness method?
The stiffness method (also known as the displacement method) is the primary method used in matrix analysis of structures. One of its advantages over the flexibility method is that it is conducive to computer programming.
What is stiffness and flexibility?
Flexibility is the inverse of stiffness. For example, consider a spring that has Q and q as, respectively, its force and deformation: The spring stiffness relation is Q = k q where k is the spring stiffness. Its flexibility relation is q = f Q, where f is the spring flexibility.
What is the difference between flexibility and stiffness method?
When comparing the flexibility and stiffness methods, it is seen that the flexibility method requires the solution of equations of compatibility for unknown forces whereas the stiffness method requires the solution of equations of equilibrium for unknown displacements.
What is flexibility and stiffness method?
Flexibility Method deals with Structural Static indeterminacy of structure. Stiffness Method deals with kinematic indeterminacy of structure. In Flexibility Method Primary Unknown forces are like Bending Moment, Shear Force, Axial Force etc.
Why slope-deflection method is called a displacement method?
Why slope-deflection method is called a ‘displacement method’? ✸ In slope-deflection method, displacements (like slopes and displacements) are treated as. unknowns and hence the method is a „displacement method‟.
Why Kanis method is used?
The main advantage of using Kani’s method for structural analysis is because it is self-corrective. The Hardy cross method distributed only the unbalanced moments at the joints, and the Kani’s method distributes the total joints moment at any stage. Kani’s method is simple and easy as compared to other methods.
Why moment distribution method is displacement method?
The moment distribution method in mathematical terms can be demonstrated as the process of solving a set of simultaneous equations by means of iteration. The moment distribution method falls into the category of displacement method of structural analysis.
Why stiffness method is called displacement method?
Using stiffness properties of members the memberend forces are computed and hence the internal forces through out the structure. Since nodal displacements are unknowns, the method is also called displacement method. Since equilibrium conditions are applied at the joints the method is also called equilibrium method.
Why stiffness method is used?
The Stiffness method provides a very systematic way of analyzing determinate and indeterminate structures. These LOCAL (member) force-displacement relationships can be easily established for ALL the members in the truss, simply by using given material and geometric properties of the different members.
What is stiffness formula?
Its stiffness is S = F/δ, where F is the total load and δ is the bending deflection.