structure Analysis special

#IMP. Points

💥Method of Structural Analysis:-

💡🌟Force Method:-

1)It is also called as Compatibility method/method of consistent deformation/Flexibility method...

2)Unknowns are Force.(SF,BM,Reactions)..

3)Force-Displacement Equations are written and solution for unknown forces are obtained from compatibility Equations.

4)Suitable method when:- Ds<Dk

5) Following are Force method:-

💥Castigliano's Method or method of Least work.

☀️Strain Energy Method.

💥Virtual Work method/Unit Load Method.

☀️Clapeyron's Three Moment Equation.

💥Column Analogy Method.

☀️Flexibility Matrix Methods.

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💡🌟Displacement Method:-

1)Also called Stiffness method.

2) Unknowns are Displacement(∆).

3)Solutions are  obtained from Equilibrium Equations.

4)Suitable when Ds>Dk

5)Displacement Methods are:-

🔷Slope-Deflection Method.

🔶Moment Distribution Method.

🔷Stiffness Matrix method.

🔶Kani's Method.