## Introduction to Mechanics of Deformable Solids |

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Page 74

N = P ( aria ) 2 * = pr ; 2 2 rm 2rm If the shell is thin enough for the tensile stress o

to be taken as constant across the thickness , for o = t = 21 . where r represents

either the inner or the mean

N = P ( aria ) 2 * = pr ; 2 2 rm 2rm If the shell is thin enough for the tensile stress o

to be taken as constant across the thickness , for o = t = 21 . where r represents

either the inner or the mean

**radius**( or the outer**radius**) when ts « r .Page 79

Equating summation of forces to zero gives the axial stress og and the

circumferential stress or in terms of the uniform interior pressure p , the

and the wall thickness tw . The symbol r represents equally well the inside

ri , or the ...

Equating summation of forces to zero gives the axial stress og and the

circumferential stress or in terms of the uniform interior pressure p , the

**radius**r ,and the wall thickness tw . The symbol r represents equally well the inside

**radius**ri , or the ...

Page 175

Consider a symmetric thick - walled sphere of inner

under interior pressure pa and exterior pressure po ( Fig . 9 . 1 ) . Geometrically

the sphere is equivalent to a set of thin spherical shells of

Ar ...

Consider a symmetric thick - walled sphere of inner

**radius**a and outer**radius**bunder interior pressure pa and exterior pressure po ( Fig . 9 . 1 ) . Geometrically

the sphere is equivalent to a set of thin spherical shells of

**radius**r and thicknessAr ...

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acting actual addition angle answer applied approximation assemblage axial force axis beam behavior bending circle circular column combined compatibility components compression compressive stress Consider constant creep cross section curve deflection deformation determined direction displacement effect elastic equal equation equations of equilibrium example Find force given gives homogeneous idealization increase initial interior isotropic length limit linear linear-elastic load material maximum Maxwell modulus moment nonlinear normal obtained plane plastic positive pressure principal Prob problem produced pure radius range ratio relation replaced requires response result rotation shear stress shell shown shows simple sketch solution solved statically steel strain stress-strain relations structural substitution Suppose surface symmetry temperature tensile tension tion tube twisting uniform virtual viscous yield zero