A spherical stainless-steel tank having an inner diameter ‘D’, is used to store natural gas at a pressure of ‘p’. The properties of the steel are as follows: yield stress in tension is ‘T’; yield stress in shear is ‘S’ and modulus of elasticity is ‘E’. The desired factor of safety with respect to yielding is ‘F.S’. Determine the minimum permissible thickness t min of the tank. (D (mm)=620)( p (MPa)=25)( T (MPa)=1000)( S (MPa)=440)( E (GPa)=208)( F.S=3.4)

A spherical stainless-steel tank having an inner diameter ‘D’, is used to store natural gas at a pressure of ‘p’. The properties of the steel are as follows: yield stress in tension is ‘T’; yield stress in shear is ‘S’ and modulus of elasticity is ‘E’. The desired factor of safety with respect to yielding is ‘F.S’. Determine the minimum permissible thickness t min of the tank. (D (mm)=620)( p (MPa)=25)( T (MPa)=1000)( S (MPa)=440)( E (GPa)=208)( F.S=3.4)

Materials Science And Engineering Properties

1st Edition

ISBN:9781111988609

Author:Charles Gilmore

Publisher:Charles Gilmore

Chapter6: Introduction To Mechanical Properties

Section: Chapter Questions

Problem 6.3P: Compare the engineering and true secant elastic moduli for the natural rubber in Example Problem 6.2...

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Concept explainers

Material Properties

Construction in civil engineering demands high strength, durability, and longevity. These targets can be achieved by better design and analysis, along with the correct choice of materials. Different materials have different properties and hence, they respond and performs differently under the various condition of external loadings. It is therefore a critical task of an engineer to select the right material based on the property that the material is supposed to function in real-time. When speaking about the property, there are different categories of material properties like chemical property, physical property, mechanical property, electrical property, magnetic property, thermal property, etc. These material properties form the basis of material selection in various applications.

Question

A spherical stainless-steel tank having an inner diameter ‘D’, is used to store natural
gas at a pressure of ‘p’. The properties of the steel are as follows: yield stress in tension
is ‘T’; yield stress in shear is ‘S’ and modulus of elasticity is ‘E’. The desired factor of
safety with respect to yielding is ‘F.S’.
Determine the minimum permissible thickness t min of the tank.

(D (mm)=620)( p (MPa)=25)( T (MPa)=1000)( S (MPa)=440)( E (GPa)=208)( F.S=3.4)

Appendix B
Useful Formulas
Bending
P- M2y – Myz
Iz
1
M
bh3
I
I ==r
4
Ox = 7-
-=
EI
12
A
ly
Principal stresses
My
VQ
3V
Tave =
It
Ттах —
2 A
Or = -
Transformations of plane stress
Ox + Oy + (OxOy) cos(20) + Txysin(26)
2
2
Txy
(0x – Oy
(*,)
sin(20) + Txycos(20)
2
= -
Ox + oy = 0x + Oy
Ox + Oy
Oy
+ T,
(0x
(Ox
Отах,min
Tmax =
2
2
! (UM? + M? + T2
тах
Tall
Spherical Pressure vessels
pr
pr
Ттах
4t
Ospherical
2t
Deflection of beams
d²y_M(x)
dx2
EI
M IN
2.

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