(SEM-III) THEORY EXAMINATION 2019-20 ENGINEERING MECHANICS

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.