This summery covers the engineering first year university principles of Strength of Materials and includes:
-Stress and strain
-Poisson ratio
-Modulus of rigidity
-Hooke's Law
-Saint Vernant's Principle
-Torsion
-Shear strain, stress
-Power Transmission
-Angle of Twist
-Bending deformati...
STRESS STRAIN
distribution of loading acting over body change in shape size under loading
a sectioned area
cohesive homogeneous
continuous isotropic
NORMAL SHEAR NORMAL
I to area a result of normal force
pull tensile change length of line
push compressive create volume change
g p
centroid
deform evenly
divide v by2
g gg 7th
it
o Pa
j Iz O
E P
HOOKE'S LAW
continue to
elongatewithout
loads
E modulas of
o
elasticity
E E Pa
ÉÉÉÉÉEÉ me greareve
ÉÉÉ
the stiffer material is
POISSON RATIO
Etat tiong IT 2 98
gong 9 2 u
longitudinal elongation eat dot
, SAINT VERNANTS PRINCIPLE
at some distance localized stress strain will even at and become uniform over
the crosssection
if havedifferent
axial forces along
8 APE mm
displacement
lengthor bar
cross section
due to force
modulous ofelastic
8 211 mm apply eavation to
each section B
ve sum
tension elongation
compression contraction ve
PRINCIPLE OF SUPERPOSITION SA SB SAIB
loading must be linearly related to stress 8 that is to be determined
must not significantly change original geometry configuration of
member
E CASE two
statically indeterminate a no gapbetween gap between wa
FB FA p p wall 31 member and member
SAB O gp g o 8AIB gap SpSp g
FORCE METHOD OF ANALYSIS CASE ONE CASE TWO
o tsp IS FB Fa P O
compressivepushon P applied
B force Bcause bar F exist be of mem
fee Iguset
to displace displace Br solve simultaneously
n
TEMPRETURE CASE ONE CASE TWO
g y
7
expand tension
ft EL DTL O St Efe
w contract compression
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