Question

Determine tangent (hoop) stress in MPa

QUESTION 1 Pressure Vessels Po Po ro Po Po Given the data below, determine the tangent (hoop) stress, in MPa, on the outside wall of the pressure vessel Outer Pressure: 101 kPa Inner Pressure: 1000 kPa Outer Diameter: 60 mm Inner Diameter: 55 mm Capped? Yes Click Save and Submit to save and submit. Click Save All Answers to save all answers

Answer 1

Given outer pressure = P_0 = 101 kp_a inner pressure = P_i = 1000 kp_a outer diameter = 60mm therefore outer radius = r_0 = 30mm inner diameter = 55mm inner radius = r-0 = 27.5mm Tangential stress is (hoop sigma_0 = (P_i r^2_i-P_0 r^2/r^2_0-r^2_i) + (P_I-P_0/r^2_0-r^2_i)r^2_0r^2_i/r^2_i therefore sigma-0 = [1000 times 10^3 times(27.5 times 10^-3)^2-101 times 10^3 times (30 times 10^-3)^2/(30 times 10^-3)^2-(27.5 times 10^-3)^2] + [(1000 times 10^-3)-(101 times 10^3)/(30 times 10^-3)^2-(27.5 times 10^-3)^2] (30 times 10^-3)^2 \r\n sigma_0 = (4.46285 times 10^6 + (5.6285 times 10s^6) sigma_0 = 10.257 times 10^6 N/m^2 sigma_0 = 10257 kp_a = 10.257 mp-a Result therefore Tangential *(Hoop) stress is sigma_0 = 10257 kp_a sigma_0 = 10.257MP_a