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Structural Analysis

Structural Analysis for GATE Civil Engineering, one topic per lesson: the theory in plain words, the formulas, a solved example, and GATE-style questions (MCQ, MSQ and NAT) whose numerical answers are recomputed by a program when the site is built.

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1Fundamentals

  1. Static and Kinematic IndeterminacyDegree of static indeterminacy of beams, trusses and frames, internal and external indeterminacy, kinematic indeterminacy (degrees of freedom), and stability of structures.
  2. Influence Lines and Moving LoadsInfluence lines for reactions, shear and bending moment in simply supported beams, Müller-Breslau principle, maximum effects of point loads and UDLs, and absolute maximum bending moment.

2Indeterminate Structures

  1. Force Methods and Consistent DeformationMethod of consistent deformation, propped cantilever and fixed beam results, three-moment theorem, unit load method, Castigliano's theorems and Maxwell's reciprocal theorem.
  2. Slope Deflection and Moment DistributionSlope-deflection equations, stiffness and carry-over factors, distribution factors, the moment distribution method for continuous beams and frames, and sway analysis.

3Special Structures

  1. Arches, Cables and Matrix MethodsThree-hinged and two-hinged arches, horizontal thrust and Eddy's theorem, cables under point loads and UDL, cable tension and sag, and stiffness and flexibility matrix methods.