(SEM VI) THEORY EXAMINATION 2024-25 ADVANCE STRUCTURE ANALYSIS

SECTION A – Short Answer (Attempt All)

Focus: Definitions, concepts, and direct theory (2 marks each)

Important Topics & Notes
 

Indeterminate Structure: Structure with unknown reactions > equilibrium equations.

Influence Line: Graph showing variation of response (reaction, SF, BM) at a point due to a moving load.

Degree of Indeterminacy: Difference between unknown forces and equilibrium equations.

Two-Hinged Arch: Hinges at supports, indeterminate to degree 1.

Two-Hinged vs Three-Hinged Girders: Three-hinged is statically determinate; two-hinged is indeterminate.

Local Coordinate System (Matrix Analysis): Member-based axes used for stiffness formulation.

Plastic Moment Capacity (Mpl): Moment at which full plastic hinge forms.

Tip: Write crisp definitions + one key property.

SECTION B – Medium Questions (Attempt Any Three)

Focus: Derivations, principles, comparisons (7 marks each)    High-Priority Questions

Castigliano’s Second Theorem

Statement                                                                    Application to beam deflection using strain energy

Suspension Cable with Three-Hinged Girder

Maximum BM in girder                                               Maximum cable tension

Shape Factor (Rectangular Section)

Derivation                                                                    Relation: Shape Factor = Mpl / My

Force Method vs Displacement Method

Principles                                 Comparison table                    Which is better and why

Müller-Breslau Principle

Construction of ILD for SF & BM in continuous beams

Tip: Diagrams + stepwise explanation fetch more marks.

SECTION C – Long Numerical / Analytical (Attempt Any One)

Focus: Full problem solving, diagrams (7 marks)

Very Important
Fixed Beam Analysis

Support reactions                             Bending Moment Diagram

Slope-Deflection Method

Member end moments                     Reactions of continuous beam

Tip: Always draw BMD/SFD neatly and show formulas used.