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Strength of Materials and Failure Theories

1 Strength of Materials and Failure Theories 2010 State of Stress This is a 2D state of stress only the independent stress components are named. A single stress component z can exist on the z-axis and the state of stress is still called 2D and the following equations apply. To relate Failure to this state of stress, three important stress indicators are derived: Principal stress, maximum shear stress, and VonMises stress. Principal stresses: knownorGivenxyyxyx 3222122, If y=0 (common case) then knownorGivenxyxx 3222122, If x = y=0 then 1 = 2 xy.

For steels, this value is 11.5*106 psi. Problem #S6 Consider the loading situation shown in Problem #S3. Determine: a) the torsional shear stress for an element on the shaft surface. b) The maximum shear stress at point Q. Use the given (as answer in Problem #S3) maximum normal stress at point Q to estimate the maximum shear stress.

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