## 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

( b ) Fig . 14 . 24 Bending about any centroidal axis N - A . ( a ) Arbitrary

and Y1 , 21 ; ( b ) principal

is where a and b are constants . expressed as 6 01 = 0 = ay + bz or y = - 22 ( 14 .

( b ) Fig . 14 . 24 Bending about any centroidal axis N - A . ( a ) Arbitrary

**axes**y , zand Y1 , 21 ; ( b ) principal

**axes**n , 5 . The equation of the neutral axis y ' = 0 nowis where a and b are constants . expressed as 6 01 = 0 = ay + bz or y = - 22 ( 14 .

Page 372

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

perpendicular centroidal

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

for ...

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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 independent 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 unloading versus viscous yield zero