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Summary Strength OF Materials Engineering
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  • Course
  • Strength of Materials 143
  • Institution
  • Stellenbosch University (SUN)
  • Book
  • Statics and Mechanics of Materials in SI Units

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...

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  • Yes
  • July 30, 2023
  • 8
  • 2022/2023
  • Summary

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  • strength of materials

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  • Stellenbosch University (SUN)
  • Strength of Materials 143
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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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