고체역학 (Gere) — Applications of Plane Stress: Problem 8.2-5

8.2-5 A hemispherical window (or viewport) in a decompression chamber (see figure) is subjected to an internal air pressure of 575 kPa. The window is attached to the wall of the chamber by 14 bolts. (a) Find the tensile force F in each bolt and the tensile stress \(\sigma\) in the viewport if the radius of the hemisphere is 350 mm, and its thickness is 32 mm. (b) If the yield stress for each of the 14 bolts is 345 MPa, and the factor of safety is 3.0, find the required bolt diameter. (c) If the stress in the viewport is limited to 3 MPa, find the required radius of the hemisphere.