## Introduction to Mechanics of Deformable Solids |

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Page 194

12 T outward by a total force F . F = patra ? + på ( 62 – a2 ) Labe ao ( b ? – a ? ) ]

= Tpa a ' t a3 + b3 | a2b3 + a362 Pi + P , ( 9 . 3 : 17 ) T a3 + b3 Pa 2v Therefore a

compressive

12 T outward by a total force F . F = patra ? + på ( 62 – a2 ) Labe ao ( b ? – a ? ) ]

= Tpa a ' t a3 + b3 | a2b3 + a362 Pi + P , ( 9 . 3 : 17 ) T a3 + b3 Pa 2v Therefore a

compressive

**axial force**of F – ( Pi + P2 ) is required to prevent relative axial ...Page 210

4 / YIELD CURVES AND SURFACES ( IN STRESS SPACE ) Suppose now that a

number of closed - end thin - walled circular tubes of a particular structural metal

are tested under various combinations of

4 / YIELD CURVES AND SURFACES ( IN STRESS SPACE ) Suppose now that a

number of closed - end thin - walled circular tubes of a particular structural metal

are tested under various combinations of

**axial force**R , interior pressure p , and ...Page 404

2 Small deflection ,

compressive force P destabilizes . Neither causes bending moment in the

undeformed configuration . ( 6 ) Undeformed configuration ; ( c ) deformed

configuration ...

2 Small deflection ,

**axial force**plus bending . Tensile force R stabilizes ;compressive force P destabilizes . Neither causes bending moment in the

undeformed configuration . ( 6 ) Undeformed configuration ; ( c ) deformed

configuration ...

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acts actual addition angle answer applied assemblage 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 example Figure Find force given gives homogeneous idealization increase independent 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 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 versus viscous yield zero