Introduction to Mechanics of Deformable Solids |
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Page 38
... solution . An obvious particular solution is € = eσ1 / EK , which is the asymptotic value of e . Upon putting the differential equation in standard form , de EK + CK dt € = σι Ск the solution to the homogeneous equation ( right - hand ...
... solution . An obvious particular solution is € = eσ1 / EK , which is the asymptotic value of e . Upon putting the differential equation in standard form , de EK + CK dt € = σι Ск the solution to the homogeneous equation ( right - hand ...
Page 169
... solution has been found , the problem is completely solved . The answer found is correct , but remember that in general a solution may not be the solution . Uniqueness must be studied or at least stated . The statement is that , for ...
... solution has been found , the problem is completely solved . The answer found is correct , but remember that in general a solution may not be the solution . Uniqueness must be studied or at least stated . The statement is that , for ...
Page 329
... solution is essential ( see Fig . 13.5 and accompanying discussion in Chap . 13 ) . 0 14.3 GENERAL COMMENTS ON SOLUTION OF PROBLEMS The general concepts and procedures for solving problems are the same in principle whether or not there ...
... solution is essential ( see Fig . 13.5 and accompanying discussion in Chap . 13 ) . 0 14.3 GENERAL COMMENTS ON SOLUTION OF PROBLEMS The general concepts and procedures for solving problems are the same in principle whether or not there ...
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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