## Introduction to Mechanics of Deformable Solids |

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Page 74

Also , the tensile force s per unit length of circumference for the full

shell ts cannot vary around the circumference . The proof of these statements

follows the same reasoning as in Sec . 4 . 2 on torsion and will not be repeated

here .

Also , the tensile force s per unit length of circumference for the full

**thickness**ofshell ts cannot vary around the circumference . The proof of these statements

follows the same reasoning as in Sec . 4 . 2 on torsion and will not be repeated

here .

Page 79

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

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

and the wall

ri , or the ...

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

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

and the wall

**thickness**tw . The symbol y represents equally well the inside radiusri , or the ...

Page 87

2 Find the minimum

an interior pressure of 150 psi gage with a factor of safety of 2 against yielding .

Give all steps explicitly . A . Mild steel similar to 1020 HR B . 2024 - T4 5 . 3 At the

...

2 Find the minimum

**thickness**for a thin - walled sphere of 30 ft diameter to carryan interior pressure of 150 psi gage with a factor of safety of 2 against yielding .

Give all steps explicitly . A . Mild steel similar to 1020 HR B . 2024 - T4 5 . 3 At the

...

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