Alight pressure vessel is made of 2024-t3 aluminum alloy tubing with suitable end closures. this cylinder has a 90mm od, a 1.65mm wall thickness, and poisson's ratio 0.334. the purchase order specifies a minimum yield strength pf 320 mpa. what is the factor of safety if the pressure-release valve is set at 3.5 mpa?

Given:

Outer Diameter, OD = 90 mm

thickness, t = 0.1656 mm

Poisson's ratio, = 0.334

Strength = 320 MPa

Pressure, P =3.5 MPa

Formula Used:

1).   =

2). factor of safety, m =

Explanation:

Now, for Inner Diameter of cylinder, ID = OD - 2t

ID = 90 - 2(1.65) = 86.7 mm

Outer radius,   = 45mm

Inner radius,   = 43.35 mm

Now by using the given formula (1)

  =

  = =93.74 MPa

Now, Using formula (2)

factor of safety, m = \frac{320}{93.74} = 3.414

answer:

look in settings

explanation: