Course

Unit 1

Force and Displacement measurement – generalized or independent measurements – constrained or dependent measurements – n dimensional space – principle of superposition – methods of structural analysis. Structure with single and two coordinates – flexibility and stiffness matrices in n coordinates – examples – symmetric nature – constrained measurements – stiffness and flexibility matrices of the element as well as the system – computing the influence coefficient. Strain energy in terms of stiffness and flexibility matrices – interpretation of coefficient – Betti’s law – other energy theorems using matrix notation.

Unit 2

Flexibility and Stiffness Methods (Element Approach): Choice of redundant – ill and well condition equation – Transformation Matrices – transformation of one set redundant to other set – thermal expansion – lack of fit – application to pin-jointed plane truss – continuous beams, frames and grids. Development of stiffness method – analogy between flexibility and stiffness – analysis due to thermal expansion, lack of fit – Stiffness matrix with rigid body motion – application to pin jointed plane and space trusses – continuous beams – frames and grids – static condensation techniques. Problem solving by computer – choice of the method.

Unit 3

1. Rajasekaran S, Sankara Subramanian G, “Computational Structural Mechanics”, Prentice- Hall of India Pvt, 2006.
2. Krishnamoorthy C. S., Rajeev S., “Computer Aided Design”, Narosa Publishing House, New Delhi, 1991.

• Wang. C. K., “Intermediate Structural Analysis”, Tata McGraw Hill, 1983.
• Timoshenko and Young, “Theory of Structures”, McGraw Hill, 1965.
• Kanchi. M. B., “Matrix Methods of Structural Analysis”, New Age International, 1993.
• Reddy. J. N., “An introduction to finite element method”, Tata McGraw Hill, 2005.