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Intro to Strength of Materials

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Introduction
to
Strength of Materials
Lecturer: Dr. Tomas U. Ganiron, Jr
Content of the course
Simple Stress and Strain
Shear Force and Bending Moment
Diagrams in Statically Determinate
Beams
Stresses in Beams
Torsion
2
Strenght of Materials I - DAT
Statics
Engineering
Mechanics
Dynamics
Mechanics
of Materials
3
Strenght of Materials I - DAT
Study of EXTERNAL
effects on Rigid
bodies
4
Study of INTERNAL
effects and
Deformations that are
caused by the Applied
loads
Strenght of Materials I - DAT
Thursday, October 23, 14
5
Mechanic
of
Materials
Mechanics
of
Deformable
Bodies
Mechanics
of Solids
Strength
of
Materials
Strenght of Materials I - DAT
Thursday, October 23, 14
All branches of Engineering deal
with physical systems, the
component parts of which are to
be assigend definite physical
sizes, fabricated from some
materials!
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Strenght of Materials I - DAT
Thursday, October 23, 14
Appropriate sizing is necessary
for these parts of safety withstand
the imposed forces on them and
at an optimal cost.
DESIGN!
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Strenght of Materials I - DAT
Thursday, October 23, 14
It is essential to study the
behavior of material from the
strength and deformation
point of view, as well as the
characterization of different
kinds of forces, which cause
different types of stresses in
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Thursday, October 23, 14
The subject, which deals with
the analytical deformation of
the strength, deformation
characteristics (stiffness) and
stability of different members,
is normally designated as the
Strength of Materials.
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Strenght of Materials I - DAT
Thursday, October 23, 14
Characteristics
of Materials
of Strength
Strength
Stiffness
Stability
10
Strenght of Materials I - DAT
Thursday, October 23, 14
Historical Aspects
Galileo, Leonardo-Da-Vinci, Eraly part
of 17th Centry.
Leonard Euler (1707-1783)
developed theory of columns.
French investigators like, to name a
few Cauchy, Nervier, Poisson,
Coulomb, St. Venant and several
others.
11
Strenght of Materials I - DAT
Thursday, October 23, 14
Specific Objectives
It is expected that one should be in a
position to understand
The classification of different kinds of
forces that structural components are
subjected to.
Effects of different forces on such
components and their solution
techniques.
Different types of stresses and
deformations that develop due to forces
12
Strenght of Materials I - DAT
Thursday, October 23, 14
Scope
The scope of this particular course
includes;
Identification of different types of
forces that the structural components
will be subjected to.
Systematic evaluation of the effects of
these forces on such structural
components.
13
Strenght of Materials I - DAT
Thursday, October 23, 14
Approach
Mainly confined to material useful to
engineering applications.
Laws of Newtonian mechanics that
govern that govern equilibrium of
forces.
Essential to know the mechanical
characteristics of the materials with
which the member will be fabricated.
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Strenght of Materials I - DAT
Thursday, October 23, 14
Units
SI units will be used in this
particular course.
Meter (m) for length
Kilogram (kg) for mass
Second (s) for time
15
Strenght of Materials I - DAT
Thursday, October 23, 14
Derived Units
How to derive the units of the
following:
Area ?
Velocity ?
Acceleration ?
Force ?
16
Strenght of Materials I - DAT
Thursday, October 23, 14
Body forces
The body forces act throughout
the body and associated with the
units of volume of the body,
Gravitational force
Inertia force
Magnetic force
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Strenght of Materials I - DAT
Thursday, October 23, 14
Surface Forces
The surface forces act on the surfaces
or area elements of a body
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Strenght of Materials I - DAT
Thursday, October 23, 14
Internal Forces
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Strenght of Materials I - DAT
Thursday, October 23, 14
Internal forces
Free body diagrams
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Strenght of Materials I - DAT
Thursday, October 23, 14
Concept of Stress
Direction of Stresses
Shear Stresses
Normal Stresses
Tensile
Compression
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Strenght of Materials I - DAT
Thursday, October 23, 14
Stresses multiplied by the
respective areas on which they act
give us the forces and at section
the vector sum of these forces is
known as the stress resultant keep
a body in equilibrium.
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Strenght of Materials I - DAT
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Example 1
Draw Free-Body Diagram
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Strenght of Materials I - DAT
Thursday, October 23, 14
Example 2
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Strenght of Materials I - DAT
Thursday, October 23, 14
Summary
The lessen include:
A general idea about the scope
of the subject
Typical application areas
Concept of different forces
Concept of free-body diagram
Concept of Stress
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Strenght of Materials I - DAT
Thank You
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Strenght of Materials I - DAT
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