Introduction to Mechanics of Deformable Solids |
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Page 170
These four axes of geometric symmetry , located in the cross section which lies
halfway 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 their
plane at ...
These four axes of geometric symmetry , located in the cross section which lies
halfway 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 their
plane at ...
Page 371
( b ) Fig . 14 . 24 Bending about any centroidal axis N - A . ( a ) Arbitrary axes y , z
and Y1 , 21 ; ( b ) principal axes n , 5 . The equation of the neutral axis y ' = 0 now
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 , z
and Y1 , 21 ; ( b ) principal axes n , 5 . The equation of the neutral axis y ' = 0 now
is 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 axes n and $ ( principal axes ) always can be found for
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 for
which 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
Bibliographic information
| Title | Introduction to Mechanics of Deformable Solids |
| Author | Daniel Charles Drucker |
| Publisher | McGraw-Hill, 1967 |
| Original from | the University of California |
| Digitized | 11 Mar 2008 |
| Length | 445 pages |
| Export Citation | BiBTeX EndNote RefMan |