JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD

Pre-requisites

Structural Analysis I & II

Course Objectives:

• 1. To learn how to calculate static and kinematic indeterminacies of various types of structures
• 2. To formulate the stiffness matrix for continuous beams, portal frames and trusses
• 3. To formulate the flexibility matrix for continuous beams, portal frames and trusses
• 4. To obtain the global stiffness matrix by assembling the element stiffness matrices

Course Outcomes

After completion of the course, students should be able to

• 1. Formulate the stiffness and flexibility matrices for various types of structures
• 2. Analyze the continuous beams, portal frames and trusses by stiffness method (structure approach)
• 3. Analyze the continuous beams, portal frames and trusses by flexibility method (structure approach)
• 4. Solve the Trusses, Continuous beams, Portal frames using element approach of stiffness method

UNIT - I

Unsymmetrical Bending: Definition of Shear Center in Bending - Symmetrical and Nonsymmetrical Bending - Bending Stresses in Beams Subjected to Nonsymmetrical Bending - Deflections of Straight Beams Subjected to Nonsymmetrical Bending

UNIT - II

Advanced Analysis of Beams : Curved Beams: Circumferential Stresses in a Curved Beam - Radial Stresses in Curved Beams - Correction of Circumferential Stresses in Curved Beams Having I-, T-, or Similar Cross Sections - Deflections of Curved Beams Beams on Elastic Foundations - Infinite Beam Subjected to a Concentrated Load: Boundary Conditions - Infinite Beam Subjected to a Distributed Load Segment

UNIT - III

Column Buckling: Concept of Column Buckling - Deflection Response of Columns to Compressive Loads - Euler Buckling of Columns with General End Constraints - Local Buckling of Columns - Inelastic Buckling of Columns

UNIT - IV

Introduction to matrix methods of analysis: Static indeterminacy and kinematic indeterminacy - degree of freedom - coordinate system - structure idealization stiffness and flexibility matrices - suitability element stiffness equations - elements flexibility equations - mixed force - displacement equations-Transformation of coordinates - element stiffness matrix - and load vector - local and global coordinates - Assembly of stiffness matrix from element stiffness matrix – Analysis of trusses, beams and frames by stiffness matrix methods

UNIT - V

Direct stiffness method: General procedure - banded matrix - semi bandwidth - assembly by direct stiffness matrix method -Application of direct stiffness method to trusses, simple and continuous beams and frames

REFERENCES

• 1. Structural Analysis by Devdas Menon, Narosa Publishing Housing Pvt Ltd.
• 2. Indeterminate Structural Analysis by K U. Muttu,IK International Publishing House Pvt.ltd Matrix Analysis of Frames structures by William Weaver J.R and James M.Gere, CBS publications
• 3. Matrix Structural Analysis by Madhu B. Kanchi
• 4. Matrix Methods of Structural Analysis by J.Meek
• 5. Structural Analysis by Ghali and Neyveli M. Tech in COMPUTER AIDED STRUCTURAL ENGINEERING I YEAR I – SEMESTER