UPSC Civil Engineering Optional Syllabus - Faridabad (New Township)

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1. Engineering Mechanics, Strength of Materials and Structural Analysis.

1.1 Engineering Mechanics:
Units and Dimensions, SI Units, Vectors, Concept of Force, Concept of particle and rigid body. Concurrent, Non- Concurrent and parallel forces in a plane, moment of force free body diagram, conditions of equilibrium, Principle of virtual work, equivalent force system.
First and Second Moment of area, Mass moment of Inertia.
Static Friction.
Kinematics and Kinetics:
Kinematics in cartesian Co-ordinates, motion under uniform and non-uniform acceleration, motion under gravity.
Kinetics of particle:
Momentum and Energy principles, collision of elastic bodies, rotation of rigid bodies.

1.2 Strength of Materials:
Simple Stress and Strain, Elastic constants, axially loaded compression members, Shear force and bending moment, theory of simple bending, Shear Stress distribution across cross sections, Beams of uniform strength.
Deflection of beams: Mecaulay’s method, Mohr’s Moment area method, Conjugate beam method, unit load method. Torsion of Shafts, Elastic stability of columns, Euler’s, Rankine’s and Secant formulae.

1.3 Structural Analysis:
Castiglianio’s theorems I and II, unit load method, of consistent deformation applied to beams and pin jointed trusses. Slope-deflection, moment distribution.
Rolling loads and Influences lines: Influences lines for Shear Force and Bending moment at a section of a beam. Criteria for maximum shear force and bending Moment in beams traversed by a system of moving loads. Influences lines for simply supported plane pin jointed trusses.
Arches: Three hinged, two hinged and fixed arches, rib shortening and temperature effects.
Matrix methods of analysis: Force method and displacement method of analysis of indeterminate beams and rigid frames.
Plastic Analysis of beams and frames: Theory of plastic bending, plastic analysis, statical method, Mechanism method.
Unsymmetrical bending: Moment of inertia, product of inertia, position of Neutral Axis and Principal axes, calculation of bending stresses.