## Introduction to Mechanics of Deformable Solids |

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Page 5

4 Problems 197 chapter 10 Combined loading , superposition 199 chapter 11

Principal stresses and principal

Superposition of Solutions 199 10 . 2 Problems 205 10 . 3 The Thin - walled

Circular ...

4 Problems 197 chapter 10 Combined loading , superposition 199 chapter 11

Principal stresses and principal

**strains**. Stress and**strain**as tensors 218 10 . 1Superposition of Solutions 199 10 . 2 Problems 205 10 . 3 The Thin - walled

Circular ...

Page 250

26 Plane

change in volume per unit volume 61 + 62 + 63 = €z + ty tez ( 11 . 6 : 9 ) If the

material is incompressible , Ez + Ey + € , = 0 and the

deviation ...

26 Plane

**strain**. Principal**strains**ta , e given . and ( see Eq . ( 11 . 4 : 1 ) ] thechange in volume per unit volume 61 + 62 + 63 = €z + ty tez ( 11 . 6 : 9 ) If the

material is incompressible , Ez + Ey + € , = 0 and the

**strain**tensor is a**strain**-deviation ...

Page 259

A . Principal

and at 120° to the axial direction 11 . 19 An equiangular rosette gives the

following

10 - 6 ...

A . Principal

**strains**in the surface and their orientation B . en in the surface at 60°and at 120° to the axial direction 11 . 19 An equiangular rosette gives the

following

**strain**readings : 60 = 100 X 10 – 6 €60 = - 400 x 10 - 6 €120 = + 800 x10 - 6 ...

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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 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 viscous yield zero