What is consistent deformation method?
The force method of analysis, also known as the method of consistent deformation, uses equilibrium equations and compatibility conditions to determine the unknowns in statically indeterminate structures. This means that there is one reaction force that can be removed without jeopardizing the stability of the structure.
What are the various steps of solving a problem by method of consistent deformation?
Strength of Material 3(2+1)
- 8.1 Compatibility and Principle of Superposition.
- 8.1.1 Displacement compatibility.
- 8.1.2 Principle of Superposition.
- 8.2 General Procedure.
- Step 1: Determine the Degree of Static Indeterminacy.
- Step 2: Redundant Force/Moment.
- Step 3: Solution of Basis Determinate Structure.
What are the two methods for determination of forces name them?
We have two methods of analysing structures, one is the force method (Flexibility method) and the rest one is the displacement method (displacement method). In the force method the unknowns are forces, moments and in case of displacement method, unknowns are deflection, rotation.
What is force method of analysis and how many types of force method are there?
|Force Methods||Displacement Methods|
|Types of indeterminacy: Static Indeterminacy||Types of indeterminacy: Kinematic Indeterminacy|
|Governing equation: Compatibility Equations||Governing equations: Equilibrium Equations|
|Force displacement relations: Flexibility matrix||Force displacement relations: Stiffness matrix|
What is clapeyron’s theorem of three moments?
In civil engineering and structural analysis Clapeyron’s theorem of three moments is a relationship among the bending moments at three consecutive supports of a horizontal beam.
What is rotation factor in Kani’s method?
Rotational factors which are computed for all the members at each joint it is given are as follows. Uij= -0.5 (Kij/? Kji) The sum of the rotational factors at the joint is -0.5. The Fixed end moments including transitional moments and the moment releases and carry over moments are computed for the various members.
What is the SI unit of flexibility coefficient?
What is the SI unit of stiffness coefficient? Explanation: It is load/force per unit deflection.
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.
Is column analogy method is force method?
The column analogous method is the force method used to analyze the indeterminate structure. In the method of column analogous, the actual structure is considered under the action of applied loads and the redundant acting simultaneously.
What is the difference between force method and displacement method?
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). In the displacement method of analysis,the primary unknowns are the displacements.
Which principle is used in clapeyron’s Theorem?
In the linear theory of elasticity Clapeyron’s theorem states that the potential energy of deformation of a body, which is in equilibrium under a given load, is equal to half the work done by the external forces computed assuming these forces had remained constant from the initial state to the final state.
What is the difference between ILD and BMD?
The basic difference between SFD/BMD and the ILD is, in SFD/BMD we get the SF and BM across various sections but in case of ILD the section is fixed and the live load is moving. By using ILD, we can find the section where the SF or BM is maximum due to that particular moving load.