## Introduction to Mechanics of Deformable Solids |

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Page 170

These four

halfway between the ends , cannot warp ... Therefore , if uniformity along the

length of the shaft is possible , these

plane at ...

These four

**axes**of geometric symmetry , located in the cross section which lieshalfway between the ends , cannot warp ... Therefore , if uniformity along the

length of the shaft is possible , these

**axes**cannot warp out of or distort in theirplane at ...

Page 371

Daniel Charles Drucker. ( a ) Fig . 14 . 24 Bending about any centroidal axis N –

A . ( a ) Arbitrary

are constants . The equation of the neutral axis y ' = 0 now is expressed as 01 = 0

...

Daniel Charles Drucker. ( a ) Fig . 14 . 24 Bending about any centroidal axis N –

A . ( a ) Arbitrary

**axes**y , z and Yı , 21 ; ( b ) principal**axes**n , 5 . where a and bare constants . The equation of the neutral axis y ' = 0 now is expressed as 01 = 0

...

Page 372

In two dimensions , therefore , a Mohr ' s - circle construction exists and two

perpendicular centroidal

which Ins = Isn = 0 , 1 , is the smallest of all moments of inertia , and I , the largest

for ...

In two dimensions , therefore , a Mohr ' s - circle construction exists and two

perpendicular centroidal

**axes**n and $ ( principal**axes**) always can be found forwhich Ins = Isn = 0 , 1 , is the smallest of all moments of inertia , and I , the largest

for ...

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### Common terms and phrases

acting actual addition angle answer applied approximation assemblage axial force axis beam behavior bending circle circular column combined compatibility components compression compressive stress Consider constant creep cross section curve deflection deformation determined direction displacement effect elastic equal equation equations of equilibrium example Find force given gives homogeneous idealization increase initial interior isotropic length limit linear linear-elastic load material maximum Maxwell modulus moment nonlinear normal obtained 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 solved statically steel strain stress-strain relations structural substitution Suppose surface symmetry temperature tensile tension tion tube twisting uniform virtual viscous yield zero