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