About this previous year paper
This is the B.Tech Semester III examination paper for the subject Engineering Mechanics (KOE031), carrying 100 marks with a duration of 3 hours.
The paper tests fundamental and applied concepts of statics, dynamics, friction, trusses, beams, moments of inertia, kinematics, kinetics, bending, torsion, and related mechanical principles essential for engineering students.
The question paper is divided into three major sections – A, B, and C, progressively covering basic definitions, analytical problem solving, and long engineering calculations.
SECTION A – Short Conceptual Questions (20 Marks)
This section includes 10 questions of 2 marks each, focused on core fundamentals:
Collinear vs concurrent forces
Limiting angle of friction
Truss definition and types
Types of loads and supports in beams
Mass moment vs area moment of inertia
Types of motion
D’Alembert’s principle with example
Longitudinal and lateral strain
Pure bending in beams
Shaft definition and torsional rigidity
This section tests the student’s base understanding of mechanical concepts.
SECTION B – Analytical & Numerical Problem Solving (30 Marks)
Students must attempt any three out of five 10-mark questions. Topics include:
Resultant of four tangential forces on a circular body (diagram on page 1)
Shear force and bending moment diagram of a loaded beam
Centroid of remaining area after cutting a circular hole from a plate
Motion of a car skidding with friction — speed calculation
Total extension of a bar under multiple loads
This section emphasizes mechanics calculations, force systems, centroid analysis, friction-based motion, and deformation analysis.
SECTION C – Long, Application-Oriented Questions (50 Marks)
There are five main questions, each with two options, and students must attempt one part from each.
Q3 – Friction & Equilibrium
Ladder equilibrium with man climbing—distance before slipping
OR reactions on cylindrical rollers inside a cup
Q4 – Trusses & Beams
Forces in truss members EF, FC, CB
OR SFD & BMD for a beam + maximum bending moment + point of contraflexure
Q5 – Moments of Inertia
Moment of inertia of an L-section about centroidal axis (diagram on page 4)
OR expression for mass moment of inertia of a solid cone
Q6 – Kinematics & Dynamics
Using s = 9t + 7t² – 1.5t³ to find velocity, acceleration, etc.
OR two-body system with applied force, friction, tension & acceleration
Q7 – Bending & Torsion
Deriving bending equation, neutral axis, section modulus
OR design of shaft diameter for power transmission with torsion & twist limits
This section evaluates engineering-level problem solving, covering equilibrium, structural analysis, inertia, motion, bending theory, and torsional design.
OVERALL SUMMARY
The Engineering Mechanics (KOE031) paper thoroughly assesses:
Statics: forces, trusses, friction, equilibrium
Structural mechanics: beams, shear force, bending moment, pure bending
Dynamics: motion, acceleration, D’Alembert’s principle
Strength of materials: strain, deformation, torsion
Moments of inertia: area & mass MOI
Applied mechanical design problems
It blends theoretical understanding with diagram-based questions, numerical problems, real-life mechanical scenarios, and engineering calculations, ensuring a complete evaluation of students' foundational mechanical engineering skills.