Engineering Mechanics

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Engineering Mechanics

• The Basic Sequence

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ENGR 2301/2302 vs. MENG 3306

• In Statics/Dynamics RIGID bodies
• Translate
• Rotate
• Remain fixed
• In Mech. of Matls DEFORMABLE bodies
• Stretch
• Bend
• Twist

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ENGR 2301/2302 vs. MENG 3306

• In Statics/Dynamics Interested in Forces and
  moments EXTERNAL to the body
• In Mech. of Matls Interested in INTERNAL FORCES/
  MOMENTS resulting from external forces/moments

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ENGR 2301/2302 vs. MENG 3306

• First steps in problem solving similar for both
  Statics/Dynamics and Mechanics of Materials
• Draw a FREE BODY DIAGRAM
• Solve for unknown external forces and moments

?Fx 0, ?Fy 0, ?MA 0
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Similarities with Fluid Mechanics

• Both have elegant mathematical theories
  describing the media behavior
• Theory of Elasticity, Navier-Stokes Equations,
  Continuum Mechanics
• Both have commonly used technical or
  engineering treatments that mostly predate the
  mathematical theories
• Beam bending, torsion, column behavior, etc.
• Bernoulli equations, Pascal equation, pipe
  friction, etc.

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Similarities with Fluid Mechanics

• Early mechanicists developed these technical
  treatments based on empirical data and
  observations, motivated by need
• Euler, Bernoulli, Hooke, St. Venant, Pascal,
  Timoshenko,
• Most have been shown to be special cases within
  the more general theories
• Until FEA and other CFD, most engineers used the
  technical treatments exclusively

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MENG 3306 Mechanics of Materials

• Catalog description
• Stress and strain uniaxially loaded members
  centroids and area moments of inertia normal and
  shear stresses beam deflections buckling of
  columns pressure vessels combined stresses
  failure criteria.
• In MENG 3306, we develop the technical or
  engineering treatment of deformable bodies

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MENG 3306 Topics

• Concepts of stress and strain
• Axial stress and strain
• Torsion
• Pure bending
• Analysis and design of beams for bending
• Shearing stress beams and thin-walled members
• Stress and strain transformations
• Principal stresses under given loading
• Deflection of beams
• Columns

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MENG 3306 Grading

• COURSE GRADING

Semester Grade (your total points/110) x 100
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MENG 3306

• Where will I use this material?
• MENG 3309 Mechanical Systems Design
• CENG Structures, Soil Mechanics, Foundations
• Senior Design
• FEA
• What Courses Might Follow?
• Elasticity (The Mathematical Theory of )
• Continuum Mechanics
• Vibrations of Continuous Media
• Plates and Shells

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