Program : Diploma in Mechanical Engineering/Tool and Die
Engineering/Manufacturing Technology/Wood and Paper Technology
Course Code :3021 Course Title: Strength of Materials
Semester : 3/3/3/4 Credits: 3/3/3/No Credit
Course Category: Program Core
Periods per week: 3 (L:2,T:1,P:0) Periods per semester:45
Course Objectives:
To develop understanding of the basic concepts related to tensile, compressive and
shear stresses in engineering components.
To Show the concept of Shear Force and Bending Moment Diagrams.
To Explain the concept of theory of Simple Bending and Deflection of Beams.
To discuss the basic principles of Torsion in Shafts and springs and to provide basic
knowledge in stresses developed in Thin Cylindrical Shells.
Course Prerequisites:
Courseco
Topic Course name Semester
de
Basic Mathematics Mathematics I & II 1& 2
Basic Physics Applied Physics I & II 1&2
Basic concepts of mechanics Engineering Mechanics 2
Course Outcomes:
On completion of the course, the student will be able to:
Duration
COn Description Cognitive Level
(Hours)
Explain stress and strain values and find the
changes in axial, lateral and volumetric
CO 1 11 Understanding
dimensions. Find thermal stresses in bodies of
uniform section and composite sections.
Solve the shear force and bending moment at any
CO 2 section of beam and draw the S.F. & B.M 10 Applying
diagrams of UDL and Point loads.
Show the deflection of beams, theory of columns
CO 3 11 Understanding
and struts.
Comparison of solid and hollow shafts, define and
solve the stress and deflection of the closed coil
CO 4 13 Understanding
helical spring. Illustratethe stresses on thin
cylinders.
CO – PO Mapping:
Course
PO1 PO2 PO3 PO4 PO5 PO6 PO7
Outcomes
CO1 3 2
CO2 3 2
CO3 3 3
CO4 3 3
3-Strongly mapped, 2-Moderately mapped, 1-Weakly mapped
Course Outline:
Module Duration
Description Cognitive Level
outcomes (Hours)
Explain stress and strain values and find the changes in axial, lateral and
CO1 volumetric dimensions.Find thermal stresses in bodies of uniform section
and composite sections.
Explain Types of forces; Stress, Strain and their
M1.01 nature, Mechanicalproperties of common 1
Understanding
engineering materials.
Demonstrate the significant points on stress-strain
diagram for MS and CI specimens. Illustrate the
M1.02 1 Understanding
Significance of factor of safety and Relation
between elastic constants.
Explain the concept of Stress and strain values in
M1.03 bodies of uniform section and of composite section 2 Understanding
under the influence of normal forces.
Interpret Thermal stresses in bodies of uniform
M1.04 2 Understanding
section and composite sections
Solve Related numerical problems on the above
M1.05 5 Applying
topics
Contents:
Simple Stresses and Strains: Types of forces (Tensile, Compressive and Shear); Stress,
Strain and their nature; Mechanicalproperties of common engineering materials; Salient
points on stress – strain diagram for ductile and brittle materials. Significance of factor of
safety; Relation between elastic constants; Stress and strain values in bodies of uniform
section and of composite section under the influence of normal forces; Thermal stresses in
bodies of uniform section and composite sections; Simple numerical problems.
Solve the shear force and bending moment at any section of beam and draw
CO2
the S.F. & B.M diagrams of UDL and Point loads.
Explain Types of beams with examples: a)
Cantilever beam, b) Simply supported beam, c)
M2.01 Over hanging beam, d) Continuous beam, e) Fixed 2 Understanding
beam and Types of Loads – Point load, UDL and
UVL
Summarize the Definition and explanation of shear
M2.02 1 Understanding
force and bending moment.
Utilize the theory and perform the Calculation of
shear force and bending moment and drawing the
S.F and B.M. diagrams by the analytical method
only for the following cases:
a) Cantilever with point loads,
M2.03 7 Understanding
b) Cantilever with uniformly distributed load,
c) Simply supported beam with point loads,
d) Simply supported beam with UDL,
e) Combination of point and UDL for the above
Series Test – I
Contents:
Shear Force & Bending Moment Diagrams: Types of beams:
i) Cantileverbeam,
ii) Simply supported beam,
iii) Over hanging beam iv) Continuous beam and
iv) Fixed beam;
Types of Loads – Point load, UDL and UVL; Definition and explanation of shear force and
bending moment; Calculation of shear force and bending moment and drawing the S.F and
B.M. diagrams for the following cases:
i) Cantilever with point loads,
ii) Cantilever with uniformly distributed load,
iii) Simply supported beam with point loads,
iv) Simply supported beam with UDL and
v) Combination of point and UDL for the above cases; Simple numerical problems.
CO3 Show the deflection of beams, theory of columns and struts.
Explain the theory of bending and explain the
terms Neutral layer, Neutral Axis, Modulus of
M3.01 2 Understanding
Section, Moment of Resistance, Bending stress,
Radius of curvature.
Illustrate the bending equation and discuss the
M3.02 1 Understanding
assumptions for it.
Solve Problems involving calculations of bending
stress, modulus of section and moment of
M3.03 4 Applying
resistance; Calculation of safe loads and safe span
and dimensions of cross- section.
Interpret the Definition and explanation of
deflection as applied to beams. Define the
Deflection formulae without proof for cantilever
M3.04 2 Understanding
and simply supported beams with point load and
UDL only (Standard cases only) Solve problems
for deflection of beams.
Column and struts. Develop the terms buckling
load, effective length, and slenderness ratio. State
Euler’s formulae and Rankine’s formula. Solve the
M3.05 2 Applying
slenderness ratio, equivalent length and buckling
load on columns using the two formulae under
different end conditions.
Contents:
Theory of Simple Bending and Deflection of Beams: Explanation of terms: Neutral
layer,Neutral Axis, Modulus of Section, Moment of Resistance, Bending stress, Radius of
curvature; Assumptions in theory of simple bending; Bending Equation M/I = σ/Y = E/R
with derivation; Problems involving calculations of bending stress, modulus of section and
moment of resistance; Calculation of safe loads and safe span and dimensions of cross-
section; Definition and explanation of deflection as applied to beams; Deflection formulae
without proof for cantilever and simply supported beams with point load and UDL only
(Standard cases only); Simple numerical problems.
Columns and struts
Introduction - column- strut- buckling load- equivalent length- slenderness ratio - types of
columns - short column- medium size column- long column - Euler's equations and its
assumption for crippling load for different end conditions (no proof) use of formulae - both
end hinged -one end is fixed and other is free- one end is fixed and other is hinged- both
ends fixed-equivalent length - Rankine's formulae for columns - simple problems on
columns to calculate buckling load- slenderness ratio- equivalent length on different end
conditions.
Comparison of solid and hollow shafts, define and solve the stress and
CO4 deflection of the closed coil helical spring. Illustratethe stresses on thin
cylinders.
Explain the Definition and function of shaft;
M4.01 Perform the Calculation of polar M.I. for solid and 4 Understanding
hollow shafts
Identify the effect of forces on spring, illustrate the
expressions for deflection, stiffness, torque, and
energy stored in the spring. Solve the stress
M4.02 5 Understanding
induced diameter, deflection, and stiffness of
closely coiled helical spring subjected to axial
loads.
State the failure of thin cylindrical shell due to an
internal pressure. Identify the stresses in a thin
M4.03 4 Understanding
cylinder subjected to an internal pressure. Solve
the thickness of cylinder.
Series Test – II
Contents:
Torsion in Shafts and Springs: Definition and function of shaft; Calculation of polar M.I.
forsolid and hollow shafts; Assumptions in simple torsion; Derivation of the equation
T/J=fs/R=Gθ/L; Problems on design of shaft based on strength and rigidity; comparison of
strength and weight of solid and hollow shafts; Classification of springs; Nomenclature of
closed coil helical spring; Deflection formula for closed coil helical spring (without
derivation); stiffness of spring; Numerical problems on closed coil helical spring to find safe
load, deflection, size of coil and number of coils.
Thin Cylindrical Shells: Explanation of longitudinal and hoop stresses in the light of
circumferential and longitudinal failure of shell; Expressions for the longitudinal and hoop
stress; Simple numerical Problems for safe thickness and safe working pressure.
Text / Reference:
T/R Book Title/Author
T1 Strength of Materials - Dr. R.K.Bansal, Lakshmi Publishers
T2 Strength of Materials - R.S. Khurmi, S.Chand& Company Ltd
R1 Strength of materials – SS BhavikattiVikas Publishing House
R2 Strength of Materials - Ramamrutham, Dhanpat rai & sons
R3 Strength of Materials- T.D. Gunneswara Rao, Cambridge University Press
Online Resources:
Sl.No Website Link
1 https://mechanicalc.com/reference/strength-of-materials
2 https://www.springer.com/journal/11223
3 https://nptel.ac.in/courses/112/107/112107146/
4 https://www.sciencedirect.com/topics/materials-science/strength-of-materials
