flexibility method structural analysis examples pdf

After determining the unknown displacements, the other forces are calculated satisfying the compatibility conditions and force displacement relations. In Chapter 7 a rsum is given of the direct stiffness method the technique used in developing most computer software analysis packages. The use of stiffness and flexibility matrix methods. Primary unknowns are the displacements and initially force -displacement relations are computed and subsequently equations are written satisfying the equilibrium conditions of the structure in this method. The stiffness and flexibility approaches to structural analysis. Once the redundant forces are calculated, the remaining reactions are evaluated by equations of equilibrium. Using the moment-area method Determine the deflection caused by the unit load at point B 9000. The emphasis in the book is on explaining basic fundamentals of this approach and on de-veloping programs. Example 1 Determine the reaction at B Indeterminate to the 1st degree thus one additional equation needed Lets take B as a redundant Determine the deflection at point B in the absence of support B. Of these, the stiffness method using member approach is amenable to computer programming and is widely used for structural analysis. Now what for given structure we know that force and displacement they are related through stiffness and flexibility matrixes.

Solving these equations, redundant forces are calculated. Stiffness and flexibility methods are commonly known as matrix methods. The basic methods of structural analysis applicable to framed structures are the. Primary unknown are forces in the members, and compatibility equations are written for displacement and rotations (which are calculated by force displacement equations) in this method.

Flexibility method structural analysis examples pdf