Answer to Question #175885 in Mechanical Engineering for Ntsako Maluleke

Question

A compressed air vessels has inside diameter of 2m and a plate of 12.5mm.if tensile stress induced in plating is to be limited to 100mpa,calculate for both the longitudinal and circumferential seams the pre

Answer 1

Diameter of vessel is 2m, and thickness of plate is 12.5 mm $= 12.5 \times 10 ^{-3} m$

Longitudinal stress $= \sigma _l= \frac{pd}{2t \eta_c}=\frac{100\times 2}{4\times 12.5\times 10^{-3}}=$ 4000Mpa

and circumferential stress

$\sigma _c= \frac{pd}{2t \eta_l}=\frac{100\times 2}{2\times 12.5\times 10^{-3}}=$ 8000 Mpa