## Introduction to Mechanics of Deformable Solids |

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Page 55

Therefore , at each stage in the twisting deformation the circle remains a circle

with the central

not rule out a change in radius or an axial displacement , nor does it restrict the ...

Therefore , at each stage in the twisting deformation the circle remains a circle

with the central

**angle**between any two points unchanged . Axial symmetry doesnot rule out a change in radius or an axial displacement , nor does it restrict the ...

Page 228

This plane makes an

10 , 000 - psi stress acts . Therefore the corresponding point on the circle is on

the radial line from the center which makes an

This plane makes an

**angle**of 30° counterclockwise with the plane on which the10 , 000 - psi stress acts . Therefore the corresponding point on the circle is on

the radial line from the center which makes an

**angle**of twice 30° , or 60° ...Page 231

The line joining the two plotted points is a diameter of the circle , because the

planes represented are at right

is given by the

x ...

The line joining the two plotted points is a diameter of the circle , because the

planes represented are at right

**angles**. ... The orientation of the principal planesis given by the

**angle**a , 01 02 21 tan 2a ( 11.2 : 13 ) 02 The**angle**a between thex ...

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### Common terms and phrases

actual addition angle answer applied assemblage axes axial axis beam behavior bending circle circular column combined compatibility components compression compressive stress Consider constant creep cross section curve cylinder deflection deformation determined diameter direction displacement effect elastic equal equation equilibrium 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 residual response result rotation shaft shear stress shell shown shows simple sketch solid solution steel strain stress-strain relations structural Suppose surface symmetry temperature tensile tension thickness thin-walled torsion tube twisting uniform unloading versus viscous yield zero