mechanics of materials ,strength of materials, bar ,solid bodies,beam,shaft,column,strut,mechanical members

1. Introduction to Mechanics
of Materials

2. What is Mechanics of materials?
The Mechanics of materials is a branch of applied mechanics
that deals with behaviour of solid bodies subjected to various
types of loadings.

3. Solid bodies:
• Bar
• Beam
• Shaft
• Column

4. Bar
A bar is a mechanical member which is subjected to an axial load
directed along the axis of the member
Tow bar, landing gear strut, Truss members, Connecting rods,
elevator cables and cables in suspended roof systems.

5. Tow Bar Connecting rods

6. Landing Gear Strut Roof truss Elevator Cable

7. Beam
A beam is a mechanical member which is subjected to a
transverse load directed perpendicular to axis of the member

8. Howrah Bridge, Kolkata Pamban Bridge, Tamil Nadu

9. Coronation Bridge, Darjeeling Godavari Arch Bridge, Andhra Pradesh

10. Shaft
• A shaft is a rotating member usually of circular cross-section (solid or
hollow), which transmits power and rotational motion.
• A shaft is a mechanical member which is subjected to a twisting
moment that tend to produce rotation about the longitudinal axis.
• Drive shaft of the car connecting engine to rear axle, crank shaft are
examples

11. Drive shaft Crank shaft

12. Column or Strut
A Strut or column is a mechanical member that takes axial compressive
loads.
Struts will not be vertical but also it will be inclined or horizontal members in
structures. If one strut is vertical then it will be considered as column not
strut

14. Types of loadings:
The externally applied forces are termed as loads. These externally applied forces
may be due to any one of the reason.
(i) due to service conditions
(ii) due to environment in which the component works
(iii) through contact with other members
(iv) due to fluid pressures

15. Objective of Mechanics of Materials course:
• Stresses
• Strains
• Displacements
An understanding of mechanical behavior is
essential for the safe design of structures.

16. Structures:
• Airplanes
• Antennas
• Buildings
• Bridges
• Machines
• Motors
• Ships
• Spacecrafts

17. Other names of Mechanics of materials
This course have several names :
"Strength of Materials"
"Mechanics of Deformable Bodies"
“Mechanics of Solids”

18. σ = 𝐸𝜖
𝑀
𝐼
=
𝜎
𝑦
=
𝐸
𝑅
𝑇
𝐽
=
𝜏
𝑅
=
𝐺𝜃
𝐿
𝐸𝐼
ⅆ2 𝑦
ⅆ𝑥2
= 𝑀
𝑃𝑐𝑟 =
𝛱2
𝐸𝐼
𝐿2
Hooke’s Law
Differential Equation of Deflection
Simple Bending equation
Simple Torsion equation
Crippling load of Column

19. Outcomes:
At the end of the course a student will be able to
1. Determine stresses and strains in members subjected to axial loads and temperature changes.
2. Draw shear force, bending moment diagrams for different types of beams and calculate stresses and strains
due to simple bending.
3. Determine slope and deflection for various configurations of beams using different methods. Analyze stress,
strain and deflection due to torsion in circular members.
4. Analyze shear stress distribution in different sections of beams and find out principal stresses and strains.
5. Find out stresses and strains in thin, thick cylindrical shells and also able to calculate critical buckling loads in
columns and struts.

20. Text Books:
1. S.S.Rattan., “Strength of materials”, Tata Mc-Graw Hill, 3rd Edition, 2016.
2. S. Ramamrutham., “Strength of Materials”, Dhanpatrai and Sons, 1993.
3. G.H.Ryder., “Strength of materials”, 3rd Edition in SI Units, Macmillan India
Limited, Delhi 2002.