This document is the B.Tech SEM–III Theory Examination 2019–20 question paper for Engineering Mechanics (Sub Code: KCE301) under Dr. A.P.J. Abdul Kalam Technical University (AKTU).
The uploaded file contains three pages, and the exam is divided into three sections — SECTION A, SECTION B, and SECTION C.
The total marks are 100, and the exam duration is 3 hours.
The paper evaluates the student’s understanding of equilibrium, friction, center of mass, moment of inertia, shear force (SF) & bending moment (BM) diagrams, D’Alembert’s principle, laws of motion, beams, ladders, wedges, pulleys, rectilinear motion, and kinetics.
SECTION A — Short Questions (10 × 2 = 20 Marks)
(Visible on Page 1)
Section A contains ten 2-mark questions, each testing fundamental concepts of mechanics.
Topics include:
Shear force & bending moment
Rigid vs elastic body
Center of mass & centroid of trapezoid
Work & power with SI units
Law of conservation of momentum
Types of supports in beams
Limiting friction
D’Alembert’s principle
Stable vs unstable equilibrium
Parallel axis theorem & radius of gyration
Each question appears clearly in the table on Page 1.
SECTION B — Long Questions (Attempt Any 3 × 10 = 30 Marks)
(Located on Page 1)
Students must attempt any 3 out of 5 long descriptive problems.
Topics include:
Lami’s theorem + numerical
Resultant of two forces acting at an angle
Rectangular lamina centroid
Simply supported beams and support reactions
Laws of friction & coefficient of friction
These require explanation, diagrams, and numerical calculations.
SECTION C — Advanced / Numerical Questions (Each 10 Marks)
(Appears on Page 2 and Page 3)
Section C consists of five groups (Q3 to Q7).
Each group has two alternative questions (a or b), and students must answer one from each group.
Q3 — Wedges / Ladder Friction
(Seen on Page 2)
(a) Use of wedge for lifting loads + numerical on forces and friction
OR
(b) Ladder leaning against wall with friction calculation
Q4 — SF–BM Diagram / Reciprocating Pump
(Page 2)
(a) Draw Shear Force (SF) and Bending Moment (BM) diagram for the beam shown (diagram on page includes loads 2 kN, 4 kN, 1 kN with distances)
OR
(b) Numerical on reciprocating pump: crank–connecting rod mechanism and piston velocity
Q5 — Moment of Inertia (Triangle / I-Section)
(Page 3)
(a) Derive moment of inertia for a triangle about centroidal axis
OR
(b) Calculate moment of inertia of an I-section (diagram on page shows 3 rectangles forming I-section with dimensions)
Q6 — Collision / Relative Velocity
(Page 3)
(a) 20 kg body colliding with 40 kg body—find final velocity
OR
(b) Relative velocity problems (depending on variant of paper)
Q7 — Work, Energy & Motion Problems
(Page 3)
Numerical on moving bodies, forces, work-energy relations, or pulley systems depending on option chosen.
OVERALL SUMMARY OF THE DOCUMENT
The Engineering Mechanics (KCE301) question paper tests the student’s understanding of:
Laws of mechanics
Static equilibrium
Beams, supports, ladders, wedges
Force systems and Lami’s theorem
Friction and limiting equilibrium
Work, energy, power
Center of mass, moment of inertia
Motion of connected bodies
SF–BM diagrams
Applications like pumps & mechanisms
The exam follows the standard AKTU pattern:
SECTION A: Short conceptual recall
SECTION B: Descriptive theory & numericals
SECTION C: Applied mechanics with diagrams + detailed numericals
The uploaded file contains clear diagrams, beam loadings, I-section geometry, and mechanism sketches across 3 pages.
