P P 4.7 Stress Concentrations

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P P 4.7 Stress Concentrations Chr_part3 P Abrupt changes in cross-sectional geometry can produce stress concentrations, Kt. In other words, a uniform stress profile, P/A is no longer valid. P

smax > savg Example: Look at deformation in vicinity of hole. Is it uniform??? Figure: 04-21a Stress profile is not uniform. smax occurs at area of discontinuity. smax > savg

smax = Kt* savg smax = maximum stress savg = average stress (P/Amin) Figure: 04-21b,c smax = maximum stress savg = average stress (P/Amin) Kt = stress concentration factor

Figure: 04-25

Figure: 04-22a smax = Kt* savg

Figure: 04-24

Which is worst? Which is best? Figure: 04-23c Which is worst? Which is best?

Plate is 1,000 mm long, 400 mm tall and 10 mm thick with a load of 4 kN. Find max stress. What not to do:

Possible stress singularity Region of interest

Stress concentrations around holes and sharp corners! Figure: 04-21-01UN Stress concentrations around holes and sharp corners!

Figure: 04-33-21P4.111

Design problems w/ Kt can involve iterations Figure: 04-33-02P4.89 How would you design this?