% Bolt Calculations for Pressure Vessels % Last Updated: 3/4/2023 %% Constants: sigma_AL = 35000; %yield stress for aluminum 6061, psi P = 3000; %design pressure, psi N = 8; %number of bolts d = 0.19; %major diameter of bolt, inches dh = 0.19; %bolt head diameter, inches Cdo = 2.5; %case OD, inches Cdi = 1.75; %case ID, inches ri = Cdi/2; %case inner radius ro = Cdo/2; %case outer radius t = ro-ri; %case thickness, inches e = 1.25*d; %minimum edge distance F = P*pi*ri^2; %Forward force load %% Compressive Stress: Ab = N*t*d; %projected bolt area sigma_c = F/Ab; MoSc = sigma_AL/sigma_c - 1 %% Shear Stress: As = 2*t*(N*e); %shear area (one ring) sigma_s = F/As; MoSs = sigma_AL/sigma_s - 1 %% Tensile Stress: Ac = (ro^2 - ri^2)*pi - N*t*dh; sigma_t = F/Ac; MoSt = sigma_AL/sigma_t - 1