Introduction to Mechanics of Deformable Solids |
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Page 74
... thickness of shell t , cannot vary around the circumference . The proof of these state- ments follows the same reasoning as in Sec . 4.2 on torsion and will not be repeated here . Write each of the steps explicitly unless all are fully ...
... thickness of shell t , cannot vary around the circumference . The proof of these state- ments follows the same reasoning as in Sec . 4.2 on torsion and will not be repeated here . Write each of the steps explicitly unless all are fully ...
Page 79
... thickness tw . The symbol r represents equally well the inside radius ri , or the mean radius rm , or the outside radius of the shell when to << r . σa ( 2πrmtw ) = p ( πr ; 2 ) σα and = pr , 2 2rmtw oc2 ( Ltw ) σε = pr tw = = pr 2tw p ...
... thickness tw . The symbol r represents equally well the inside radius ri , or the mean radius rm , or the outside radius of the shell when to << r . σa ( 2πrmtw ) = p ( πr ; 2 ) σα and = pr , 2 2rmtw oc2 ( Ltw ) σε = pr tw = = pr 2tw p ...
Page 87
... thickness . C. Compute the change in interior volume . 5.4 What is the factor of safety against rupture in Prob . 5.2 ? Take necking or local thinning into account . Show all steps explicitly , and state any assumptions you make . 5.5 ...
... thickness . C. Compute the change in interior volume . 5.4 What is the factor of safety against rupture in Prob . 5.2 ? Take necking or local thinning into account . Show all steps explicitly , and state any assumptions you make . 5.5 ...
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Common terms and phrases
aluminum applied assemblage axial force beam behavior change in length circle circumferential column components of stress computed constant cross section cylinder dashpot deflection diameter dimensions direction displacement elastic elastic-perfectly plastic elongation equations of equilibrium factor of safety free-body sketch homogeneous HR steel idealization increase inelastic initial interior pressure isotropic Kelvin material linear Maxwell linear-elastic linear-viscous load M₂ maximum Maxwell material modulus Mohr's circle neutral axis nonlinear normal stress outer P₁ P₂ perfectly plastic perpendicular plane plastic deformation plastic-limit Prob problem pure bending radial radius ratio residual stress rotation shaft shear strain shear stress shell shown in Fig simple shear simple tension solution statically statically indeterminate stress and strain stress-strain curve stress-strain relations structural Suppose surface symmetry t₁ temperature tensile stress thick-walled thickness time-dependent torsion uniaxial uniform unloading versus viscous yield point yield stress Young's modulus zero ΕΙ σα σο στ