Strength of Materials for Technicians
Fourth Edition
Chapter 8
Strain Energy Due to Direct Stresses
Jan Drotsky
Lecture slides prepared by
IEA Aghachi
What you should know
Before you start with this unit, you should be able
to do the following:
Plot a l

Strength of
Materials III
SMT 311 T & SMT301B
Previously
l L t
L
L t
E
t E
L
L t allowance
E
Materials in series
Materials in Series
Axial movement is restricted
Compound rod subjected to axial load
a2
1 2
a1
1a1 2 a2
Therefore
l 1l1 2l2
And
Or
L

Strength of
Materials III
SMT 311 T & SMT301B
Lecture 1
Temperature effect
What you should know
Before you start with this unit, you should be
able to do the following:
Define the coefficient of linear expansion of a
material.
Determine the stress in, and

LESSON 1: MAT351T ODEs
1.
1,1
SEPARATION OF VARIABLES
ydx x ln xdy 0
1.2
y '
1.3
1.4
1.5
xydx 4 x 2 dy
dy y 2 xy 2
dx x 2 y x 2
dy 1 y 2
dx 1 x 2
1.6
xy
1.7
1.8
1.9
1.10
1.11
y
0
x 3
dy y 2 1
dx x 2 1
xy x dx xy 2 y 2 dy
cos x sin ydy cos x cos ydy tan x

MAT351T
NUMERICAL METHODS
TUTORIAL
JP MOTSEI
EULERS METHOD
Given
dy
f x, y , y x0 y0 , and
dx
h unit step x0 x xN then
yn1 yn hf xn , yn ; n 0,1,2,., N 1
Use the analytical method to determine the actual values for the solution for each
of the following

Strength of Materials for Technicians
Fourth Edition
Chapter 11
Shear Stress in Beams
Jan Drotsky
Lecture slides prepared by
IEA Aghachi
What you should know
Before you start with this unit, you should be
able to do the following:
Derive and apply the b

Strength of Materials for Technicians
Fourth Edition
Chapter 9
Second Moment of Area
Jan Drotsky
Lecture slides prepared by
IEA Aghachi
What you should know
Before you start with this unit, you should be
able to do the following:
Determine the definite

Strength of Materials for Technicians
Fourth Edition
Chapter 6
Shear Force and Bending Moment
(Built-in Beams)
Jan Drotsky
Lecture slides prepared by
IEA Aghachi
What you should know
Before you start with this unit, you should be able to
do the following

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Strength of Materials for Technicians
Fourth Edition
Chapter 10
Bending Stresses
Jan Drotsky
Lecture slides prepared by
IEA Aghachi
What you should know
Before you start with this unit, you should be
able to do the following:
Determine the second moment