Stress, strain, Hooke law, torsion, beam bending, shear and moment diagrams, Mohr circle, buckling and failure theories.
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- What is normal stress?
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Force per unit area perpendicular to the surface (P/A)
- What are the common units for stress?
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Pascals (Pa), psi (pounds per square inch), or MPa
- What is shear stress?
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Force per unit area parallel to the surface (V/A)
- What does a stress-strain diagram show?
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The relationship between applied stress and the resulting material deformation
- How does true stress differ from engineering stress?
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True stress uses actual instantaneous area; engineering stress uses original area
- What is engineering strain?
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Change in length divided by original length (delta L / L0)
- What is shear strain?
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The angular distortion or change in angle between initially perpendicular lines
- What are the units for strain?
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Dimensionless (it is a ratio); sometimes expressed as a percentage
- Define Poisson's ratio.
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The negative ratio of lateral strain to axial strain; typically between 0 and 0.5 for metals
- What is volumetric strain?
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Change in volume divided by original volume; related to normal strains in three directions
- State Hooke's Law for normal stress-strain.
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Stress equals modulus of elasticity times strain: sigma = E * epsilon
- What is the modulus of elasticity (Young's modulus)?
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The slope of the linear portion of the stress-strain curve; measures material stiffness
- Within what range is Hooke's Law valid?
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Within the elastic (linear) region of the stress-strain diagram up to the proportional limit
- State Hooke's Law for shear stress-strain.
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Shear stress equals shear modulus times shear strain: tau = G * gamma
- What is the shear modulus (modulus of rigidity)?
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The slope of the linear shear stress-strain curve; measures resistance to shear deformation