Summarized Table of the minimum diameter for bolts:
a=0 (only force of piston) | Max Acceleration | |
Piston Mount | 0.001 m | - |
Mission Package Tube | 0.001 m | 0.0006 m |
Diaphragm Cup | 0.0001 m | - |
Bolt Min Diameter Calcs
Two cases:
a=0 at deployment (only piston force)
Max acceleration = 1066.5617 ft/sec^2 = 325.088 m/s^2
Does not need to be calculated for internal members
Notes:
Max shear stress of 316 steel is 3.447 *10^8 Pa for all
Piston Mount (Under the force of the piston):
a=0
Notes: Force is divided by the number of bolts being used: 8
Force = 316.93 N
S= 3.447 *10^8 Pa
using
D=(4F/S(pi))^(½)
Calculated min D is 0.001 m
Mission Package tube (Under the force of the piston):
a=0
Notes: Force is divided by the number of bolts being used: 8
Force = 316.93 N
S= 3.447 *10^8 Pa
using
D=(4F/S(pi))^(½)
Calculated min D is 0.001 m
Max Acceleration
Mass of av bay and deployment: 3 lbs +2.25 lbs = 2.381 Kg
F=ma=2.381 Kg*325.088 m/s^2=774.035 N
Force=774.035 /8 N
S= 3.447 *10^8 Pa
using
D=(4F/S(pi))^(½)
Calculated min D is 0.0006 m
Diaphragm cup:
a=0
Notes: Force is divided by the number of bolts being used: 12
Force = 316.93 N
S= 3.447 *10^8 Pa
Using
D=(4F/S(pi))^(½)
Calculated min D is 0.0001 m