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Stresses in Thin-walled Pressure Vessels (I)PowerPoint Presentation

Stresses in Thin-walled Pressure Vessels (I)

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Stresses in Thin-walled Pressure Vessels (I)

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(Hoop Stress)

(Longitudinal Stress)

εmax

εa = εx

εb = εx/2 + εy/2 + γxy/2

εmin

εc = εy

gmax

εa = εx

εmax

εb = εx/4 + 3εy/4 + γxy/4

εmin

gmax

εc = εx/4 + 3εy/4 - γxy/4

Stress trajectories indicating the direction of principal stress of the same magnitude.

For the special case of “hydrostatic” loading -----

σx = σy = σz = –p

where DV/V is called Dilatation or Volumetric Strain.

Define Bulk Modulus K as

σ1

σ1

|σ1| = σY

σ2

|σ2| = σY

σ2

Tresca Criterion

(Max. Shear Stress)

|σ1| = σY

|σ2| = σY

|σ1 – σ2| = σY

Von Mises Criterion

(Max. Distortion Energy)