1
Arulmigu Meenakshi Amman college of Engineering
Vadamavandal-604410.
Prepared by,
V.Umapathy,
Prof./Mech.
Important Questions and Answers
ME25C07-Applied Engineering Mechanics
Syllabus
1. Analysis of Structures: Planar trusses, Assumptions, static determinacy, method of joints,
method of sections. Introduction to 3D trusses. Plane Frames, analysis of member forces.
Simple Machines, mechanical advantage, velocity ratio, efficiency.
Activities: • Simulation of plane trusses using FEM software’s. • Physical modeling of 2D
trusses using wooden sticks • Case Studies of Collapse of 3D Trusses
2. Method of Virtual Work: Principle of virtual work, analysis of planar
machines/mechanisms, Mechanical efficiency of real machines, Potential energy and
equilibrium, Stability of equilibrium of mechanical systems.
Activities: Problem-solving assignments using computational tools/programming
environments.
3. Kinetics of Particles: Energy and Momentum methods: Work Energy principle,
Conservation of Energy principle, Impulse Momentum principle, Impacts – Direct and
Oblique.
Activities: Assignments using programming tools to calculate the motion parameters of
particles and present the results in graphical form.
4. Plane Motion of Rigid Bodies: Energy and Momentum methods, Kinetic energy of rigid
bodies, Linear and angular momentum principles, Eccentric impacts of rigid bodies.
Activities: • Problem-solving assignments using computational tools/programming
environments • Case studies of rigid body motion in engineering systems
S.No. Description
Unit-I
Analysis of Structures:
Basic Concepts
1. Planar Trusses
, 2
Topic Basic Concept
A structure made of straight members connected by pin joints, with all members and
Planar Truss
loads lying in one plane.
Purpose To carry loads efficiently through axial forces (tension or compression).
Types Simple truss, Compound truss, Complex truss
Member
Members experience only tension or compression.
Forces
Joints Assumed to be frictionless pin joints.
2. Assumptions in Truss Analysis
Assumption Explanation
Pin-connected joints Members rotate freely without resisting moments.
Loads at joints only External loads act only at joints.
Straight members Members remain straight before loading.
Self-weight neglected Unless specified, member weight is ignored or treated as joint loads.
Axial force only Members carry only tension or compression.
Small deformations Geometry does not change significantly after loading.
3. Static Determinacy
Condition Formula
Plane truss m + r = 2j
m Number of members
r Number of support reactions
j Number of joints
If m + r = 2j Statically determinate
If m + r > 2j Statically indeterminate
If m + r < 2j Unstable structure
4. Method of Joints
Aspect Description
Principle Analyze equilibrium of each joint.
Equations used ΣFx = 0, ΣFy = 0
, 3
Unknowns Maximum two unknown member forces at a joint.
Best suited for Finding forces in all members.
Nature of forces Positive → Tension, Negative → Compression
5. Method of Sections
Aspect Description
Principle Cut the truss into two parts and analyze one section.
Equations used ΣFx = 0, ΣFy = 0, ΣM = 0
Members cut Preferably not more than three unknown members.
Best suited for Finding forces in selected members quickly.
Advantage Faster than the method of joints for specific members.
6. Introduction to 3D Trusses
Topic Basic Concept
3D Truss Members and joints exist in three-dimensional space.
Member Forces Only axial forces (tension/compression).
Equilibrium Equations ΣFx = 0, ΣFy = 0, ΣFz = 0
Determinacy Condition m + r = 3j
Applications Transmission towers, bridges, cranes, space frames
7. Plane Frames
Topic Description
Plane Frame Structure consisting of beams and columns connected rigidly.
Loads Applied anywhere on members.
Member Forces Axial force, Shear force, and Bending moment.
Equilibrium Equations ΣFx = 0, ΣFy = 0, ΣM = 0
Applications Buildings, industrial structures, bridges
8. Analysis of Member Forces in Frames
Force Type Description
Axial Force Force along the member axis.
Shear Force Force perpendicular to member axis.
, 4
Bending Moment Moment causing bending of the member.
Tension Pulling force.
Compression Pushing force.
9. Simple Machines
Machine Purpose
Lever Multiplies force using a fulcrum.
Pulley Changes direction and magnitude of force.
Wheel and Axle Reduces effort for lifting or moving loads.
Inclined Plane Reduces effort required to lift loads.
Screw Jack Lifts heavy loads using rotational motion.
Gear System Transmits motion and torque.
10. Mechanical Advantage (MA)
Item Formula
Definition Ratio of Load to Effort
Formula MA = Load / Effort
Unit Dimensionless
Higher MA Less effort required
11. Velocity Ratio (VR)
Item Formula
Definition Ratio of distance moved by effort to distance moved by load
Formula VR = Distance moved by effort / Distance moved by load
Unit Dimensionless
Depends on Geometry of the machine
12. Efficiency (η)
Item Formula
Definition Ratio of Mechanical Advantage to Velocity Ratio
Formula η = (MA / VR) × 100%
Unit Percentage (%)
Arulmigu Meenakshi Amman college of Engineering
Vadamavandal-604410.
Prepared by,
V.Umapathy,
Prof./Mech.
Important Questions and Answers
ME25C07-Applied Engineering Mechanics
Syllabus
1. Analysis of Structures: Planar trusses, Assumptions, static determinacy, method of joints,
method of sections. Introduction to 3D trusses. Plane Frames, analysis of member forces.
Simple Machines, mechanical advantage, velocity ratio, efficiency.
Activities: • Simulation of plane trusses using FEM software’s. • Physical modeling of 2D
trusses using wooden sticks • Case Studies of Collapse of 3D Trusses
2. Method of Virtual Work: Principle of virtual work, analysis of planar
machines/mechanisms, Mechanical efficiency of real machines, Potential energy and
equilibrium, Stability of equilibrium of mechanical systems.
Activities: Problem-solving assignments using computational tools/programming
environments.
3. Kinetics of Particles: Energy and Momentum methods: Work Energy principle,
Conservation of Energy principle, Impulse Momentum principle, Impacts – Direct and
Oblique.
Activities: Assignments using programming tools to calculate the motion parameters of
particles and present the results in graphical form.
4. Plane Motion of Rigid Bodies: Energy and Momentum methods, Kinetic energy of rigid
bodies, Linear and angular momentum principles, Eccentric impacts of rigid bodies.
Activities: • Problem-solving assignments using computational tools/programming
environments • Case studies of rigid body motion in engineering systems
S.No. Description
Unit-I
Analysis of Structures:
Basic Concepts
1. Planar Trusses
, 2
Topic Basic Concept
A structure made of straight members connected by pin joints, with all members and
Planar Truss
loads lying in one plane.
Purpose To carry loads efficiently through axial forces (tension or compression).
Types Simple truss, Compound truss, Complex truss
Member
Members experience only tension or compression.
Forces
Joints Assumed to be frictionless pin joints.
2. Assumptions in Truss Analysis
Assumption Explanation
Pin-connected joints Members rotate freely without resisting moments.
Loads at joints only External loads act only at joints.
Straight members Members remain straight before loading.
Self-weight neglected Unless specified, member weight is ignored or treated as joint loads.
Axial force only Members carry only tension or compression.
Small deformations Geometry does not change significantly after loading.
3. Static Determinacy
Condition Formula
Plane truss m + r = 2j
m Number of members
r Number of support reactions
j Number of joints
If m + r = 2j Statically determinate
If m + r > 2j Statically indeterminate
If m + r < 2j Unstable structure
4. Method of Joints
Aspect Description
Principle Analyze equilibrium of each joint.
Equations used ΣFx = 0, ΣFy = 0
, 3
Unknowns Maximum two unknown member forces at a joint.
Best suited for Finding forces in all members.
Nature of forces Positive → Tension, Negative → Compression
5. Method of Sections
Aspect Description
Principle Cut the truss into two parts and analyze one section.
Equations used ΣFx = 0, ΣFy = 0, ΣM = 0
Members cut Preferably not more than three unknown members.
Best suited for Finding forces in selected members quickly.
Advantage Faster than the method of joints for specific members.
6. Introduction to 3D Trusses
Topic Basic Concept
3D Truss Members and joints exist in three-dimensional space.
Member Forces Only axial forces (tension/compression).
Equilibrium Equations ΣFx = 0, ΣFy = 0, ΣFz = 0
Determinacy Condition m + r = 3j
Applications Transmission towers, bridges, cranes, space frames
7. Plane Frames
Topic Description
Plane Frame Structure consisting of beams and columns connected rigidly.
Loads Applied anywhere on members.
Member Forces Axial force, Shear force, and Bending moment.
Equilibrium Equations ΣFx = 0, ΣFy = 0, ΣM = 0
Applications Buildings, industrial structures, bridges
8. Analysis of Member Forces in Frames
Force Type Description
Axial Force Force along the member axis.
Shear Force Force perpendicular to member axis.
, 4
Bending Moment Moment causing bending of the member.
Tension Pulling force.
Compression Pushing force.
9. Simple Machines
Machine Purpose
Lever Multiplies force using a fulcrum.
Pulley Changes direction and magnitude of force.
Wheel and Axle Reduces effort for lifting or moving loads.
Inclined Plane Reduces effort required to lift loads.
Screw Jack Lifts heavy loads using rotational motion.
Gear System Transmits motion and torque.
10. Mechanical Advantage (MA)
Item Formula
Definition Ratio of Load to Effort
Formula MA = Load / Effort
Unit Dimensionless
Higher MA Less effort required
11. Velocity Ratio (VR)
Item Formula
Definition Ratio of distance moved by effort to distance moved by load
Formula VR = Distance moved by effort / Distance moved by load
Unit Dimensionless
Depends on Geometry of the machine
12. Efficiency (η)
Item Formula
Definition Ratio of Mechanical Advantage to Velocity Ratio
Formula η = (MA / VR) × 100%
Unit Percentage (%)
