- #1
Al_Pa_Cone
- 143
- 0
Q6. A cylindrical vessel 2m internal diameter and 4m long has a wall thickness of 6mm. Strain gauges are installed on the vessel to measure hoop strain (see FIG 6).
The Young's Modulus of the Material = 290 GN m^-2
The Yield Stress of the Material = 500 MPa
The Questions are
(i) What is the maximum allowable pressure if a factor of safety of 4 is to be used?
(ii) What pressure would a strain of 40με indicate?
For (i) I get:
Does this look correct?
for part 2, I cannot find the relevant equation to suit the pressure vessel. I have the hoop equation as
σ = pr/t
Where:
p = Pressure
r = radius of the vessel at 1000mm
t = Thickness of the vessel at 6mm
I am aware the strain is represented as a change in length by 0.000040 but I am not sure how to use this in my working out, given the fact I haven't used the Young's modulus of 290 GN m^-2 either.
Can anyone help me with this question?
The Young's Modulus of the Material = 290 GN m^-2
The Yield Stress of the Material = 500 MPa
The Questions are
(i) What is the maximum allowable pressure if a factor of safety of 4 is to be used?
(ii) What pressure would a strain of 40με indicate?
For (i) I get:
Does this look correct?
for part 2, I cannot find the relevant equation to suit the pressure vessel. I have the hoop equation as
σ = pr/t
Where:
p = Pressure
r = radius of the vessel at 1000mm
t = Thickness of the vessel at 6mm
I am aware the strain is represented as a change in length by 0.000040 but I am not sure how to use this in my working out, given the fact I haven't used the Young's modulus of 290 GN m^-2 either.
Can anyone help me with this question?