Strength Of Materials

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Before we start
Zaklad Wytrzymalosci Materialów http//limba.wil.
pk.edu.pl

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Strength Of Materials (SM)

• for graduate studies
• in Civil Engineering at PK

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Content of full course in SM

• STRENGTH OF MATERIALS (SM1, SM2)
• Course syllabus for UNDERGRADUATE studies in
  Civil Engineering
• (number of contact hours 60 in 1st semester, 75
  in 2nd semester)
• SM1 (winter semester)
• 1. Introduction to mechanics of materials
• 1.1. Internal forces, method of sections,
  definition of internal forces
• 1.2. Theorem of equivalence of external and
  internal forces
• 1.3. Definition of special cases of internal
  forces reduction in bars (tension, bending,
  shear, torsion)
• 1.4. Resultant of internal forces in bars as
  function of spaces variables

2. Resultant forces in bar structures 2.1.
Relation between distributed load, shear force
and bending moment 2.2. Rules for writing
equations and making diagrams for cross-sectional
internal forces 2.3. Cross-sectional forces for
simple bars, frames, arches and trusses
3. Basics of linear elasticity 3.1. Theory of
stress state (normal and shear stresses, stress
matrix and its eigenvalues principal stresses
and their directions, graphical representation of
state of stress, equation of internal equilibrium
and static boundary conditions) 3.2. Theory of
state of deformation (elongation and shear
strains, small strain matrix and its eigenvalues,
compatibility of strains) 3.3. Constitutive
equation for linear elasticity (Hookes law and
its different representations, material
constants) 3.4. Boundary value problem (BVP) its
formulation and methods of solving 3.5. Elastic
energy
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Content of full course in SM (ctd)
SM2 (summer semester) 4. Basic cases of internal
forces reduction 4.1. Free torsion (as an example
of BVP inverse solution) 4.2. Uniaxial
tension 4.3. Bending (simple and skewed bending,
bonding combined with tension, shear
bending) 4.4. Shear in joints 5. Strength and
toughness of materials 5.1. Material effort and
strength hypothesis (stress, strain and energy
governed hypothesis) 5.2. Concepts of equivalent
stress in 2D 6. Special topics 6.1. Buckling of
columns (Euler buckling load, effective length,
bar slenderness, limits of Eulers theory) 6.2.
Basics of thin-walled theory 6.3. Basics of
composite materials (material anisotropy and its
reduction, theory of laminates) Basic
literature V. D. da Silva, Mechanics and
Strength of Materials, Springer V., 2006 (full
text available at
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Content of full course in SM (ctd)
STRENGTH OF MATERIALS (SM3) Course syllabus for
GRADUATE studies in Civil Engineering (number of
contact hours 15 lecture hours, 15
laboratory) 1. Basics of SM revisited 1.1.
General stress, strain and displacements 1.2.
Constitutive equations for elastic and
non-elastic materials 1.3. Boundary value
problem of linear elasticity 1.4. Summary of
typical loading cases for beams and struts
(tension, bending, twisting, shear and
columns) 1.5. Non-typical loading of elastic
structures (combined loading, elastic bedding,
thin walled structures) 2. Inelastic
structures 2.1. Basics of plasticity 2.2.
Elements of solids rheology 3. Loading capacity
of materials and structures 3.1. Theoretical
strength 3.2. High- and low-cycle fatigue 3.3.
Basics of linear fracture mechanics 3.4. Linear
and non-linear damage accumulation
We have to know!
Basic literature 1.V. D. da Silva, Mechanics and
Strength of Materials, Springer V., 2006 2.
N.E.Dowling, Mechanical Beahvior of Materials.
Engineering Methods for Deformation, Fracture
and Fatigue,
Prentice-Hall, 1996
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Strength of Materials versusMechanical
Beahaviour of Materials
N.E.Dowling, Mechanical Beahvior of Materials.
Engineering Methods for Deformation, Fracture
and Fatigue, Prentice-Hall, 1996
Lets see what is going on in Massachusetts
Institute of Technology J.M.Demkowicz
(syllabus) L.J.Gibson (Set of problems with
solutions)