## Introduction to mechanics of deformable solids |

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Page 74

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

shell t, 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 / per unit length of circumference for the full

**thickness**ofshell t, 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 aa and the

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

and the wall

„ or the ...

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

circumferential stress ac 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 r„ or the ...

Page 87

5.2 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 ...

5.2 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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### Common terms and phrases

angle applied assemblage axial force beam behavior cantilever centroid circumferential column compatibility components of stress constant creep cross section cylinder dashpot deflection diameter direction displacement elastic-perfectly plastic elongation equation of virtual equations of equilibrium factor of safety free-body sketch homogeneous idealization increase inelastic initial interior pressure isotropic Kelvin Kelvin material limit linear Maxwell linear-elastic response linear-viscoelastic linear-viscous load maximum Maxwell material modulus Mohr's circle neutral axis nonlinear nonlinear-viscous normal stress outer perfectly plastic perpendicular plane plastic deformation plastic-limit principal stresses Prob problem pure bending radial radius ratio rotation shaft shear center shear strain shear stress shell shown in Fig simple shear solution statically statically determinate steel strain rate stress and strain stress-strain curve stress-strain relations Suppose surface symmetry temperature tensile stress thick-walled thickness time-dependent torsion twisting uniform unloading versus viscous yield curve yield stress zero