The vertical force P acts on the bottom of the plate having a negligible weight. Determine the shortest distance d to the edge of the plate at which it can be applied so that it produces no compressive stresses on the plate at section a–a. The plate has a thickness of 10 mm and P acts along the center line of this thickness.
Question 7.18: The vertical force P acts on the bottom of the plate having ...
\sigma_{A}=0=\sigma_{a}-\sigma_{b}
0=\frac{P}{A}-\frac{M c}{I}
0=\frac{P}{(0.2)(0.01)}-\frac{P(0.1-d)(0.1)}{\frac{1}{12}(0.01)\left(0.2^{3}\right)}
P(-1000+15000 d)=0
d=0.0667 \mathrm{m}=66.7 \mathrm{mm}
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