Analysis of previous 5 year Gate Paper 2015 to 2019

Updated: Dec 29, 2020



Unit-1 Engineering mathematics


## Linear Algebra_________________________________25 marks

Matrices __________________________________________ 5 marks

Properties of Determinants ________________________ 1 marks

Eigen Value and Eigen Vector ______________________10 marks

Rank of Matrix _____________________________________3 marks

Inverse of Matrix ___________________________________2 marks

System of Equation ________________________________4 marks


## Calculus_______________________________________36 marks

Basic Integral and Definite Integration_____________4 marks

Limits and Standard Theorem_____________________4 marks

Continuity and Differentiability____________________0 marks

Maxima and Minima______________________________5 marks

Directional Derivative and Gradient_______________ 2 marks

Area and Volume of Curves________________________8 marks

Vectors and Line Integrals_________________________4 marks

Partial Derivatives_________________________________9 marks


## Differential Equation___________________________20 marks

1st Order DE_______________________________________4 marks

Orderand Degree__________________________________0 marks

Equation of nth degree and order__________________16 marks

Orthogonal trajectory______________________________0 marks


## Complex Function_____________________________3 marks

Complex Function and limits______________________0 marks

Analytic Function_________________________________0 marks

Residues__________________________________________3 marks


## Probability and Statistics

Probability________________________________________10 marks

Distribution Functions____________________________ 11 marks


## Numerical Methods___________________________15 marks

Numerical Solution of linear equations____________0 marks

Numerical Solution by Iterative Methods__________8 marks

Numerical Integration Methods___________________3 marks

Numerical Solution of Differential Equation_______4 marks


## Laplace Transforms____________________________2 marks


## Fourier Series and Transform__________________2 marks

FourierSeries_____________________________________1 marks

Taylors Series Expansion__________________________1 marks


Unit II- Strength of material


## Stress and Strain______________________________13 marks

Properties of Metal_______________________________0 marks

Elastic Constant__________________________________0 marks

Stress and Strain__________________________________4 marks

Stresses in Member_______________________________1 marks

Deflection of Bar__________________________________2 marks

Strain Energy_____________________________________6 marks


## Shear Force and Bending Moment____________ 8 marks

SF and BM________________________________________3 marks

SF and BM diagram_______________________________5 marks


## Principal Stress and Principal Strain____________7 marks

Stress, Strain and Shear___________________________5 marks

Mohr circle method_______________________________2 marks

Theories of failure_________________________________0 marks


## Bending and Shear Stress_____________________9 marks

Bending stress distribution_______________________7 marks

Shear stress Distribution__________________________2 marks

Combined stress__________________________________0 marks

Extra______________________________________________0 marks


## Deflection of Beam____________________________14 marks

Deflection of Beams_______________________________14 marks


## Torsion of Shafts and Pressure Vessels__________4 marks

Torsion of Shafts___________________________________3 marks

Pressure Vessels___________________________________1 marks


## Columns and Shear Centre_____________________4 marks

Theory of Columns_________________________________4 marks

Shear Centre_______________________________________0 marks


Unit-III Strucure Analysis


## Determinacy and Indeterminacy______________ 7 marks

Static Indeterminacy_____________________________5 marks

Kinematic Indeterminacy________________________2 marks


## Influence Line Diagram and Rolling Loads____4 marks

ILD______________________________________________2 marks

Rolling Load over Beam_________________________ 2 marks

MullerBreslau Principal__________________________0 marks


## Arches______________________________________1 marks

3 Hinged Arch__________________________________0 marks

2 Hinged arch__________________________________ 1 marks


## Trusses_____________________________________12 marks

Methods of Joint_______________________________8 marks

Method of sections____________________________2 marks

Unit Load Method_____________________________0 marks

Deflection in Truss Members___________________2 marks


## Methods of Structural Analysis______________14 marks

Basic Method of Analysis_______________________3 marks

Displacement Method__________________________9 marks

Force Method__________________________________2 marks


## Matrix Method of Structural Analysis________1 marks

Flexibility Matrix_______________________________0 marks

Stiffness Matrix________________________________1 marks


Unit-IV Structure and Prestressed Concrete


## Theory of RCC Structure

Concrete Mix Design___________________________13 marks

Reinforced Concrete____________________________0 marks

Stress and Strain Curve_________________________7 marks


## Working Stress and Limit Stress Method

Limit Stress Method____________________________1 marks

Limit depth of neutral axis______________________5 marks


## Shear and Torsion

Shear____________________________________________6 marks

Torsion__________________________________________0 marks


## Bond and Anchorage________________________ 3 marks


## Column, Footing, Stairs & Water Tank, Beams and Slab

IS Standards of Column__________________________2 marks

Design of Column_______________________________3 marks

Footing_________________________________________0 marks

Water Tank and Stairs___________________________1 marks

Beams and Slab________________________________4 marks


## Prestressed Concrete________________________10 marks

Prestress Concrete______________________________2 marks

Curve Profile of cable____________________________2 marks

Analysis of Prestress and Bending Stress_________2 marks

Deflection and Slope in Prestress________________2 marks

Losses in Prestress_______________________________2 marks


Unit-V RCC Structures and Prestressed Concrete


## Methods of Connections___________________18 marks

Theory of Steel Structures_____________________0 marks

Riveted Joint__________________________________0 marks

Bolted Joint___________________________________4 marks

Eccentric Riveted Connection_________________6 marks

Design Of Welded Connection________________8 marks