## Introduction to Mechanics of Deformable Solids |

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Page 355

A

integration procedure , d ' v / dx2 = M / EI , to find the left - hand reaction and the

deflection curve of the beam . Draw free - body sketches to find M . 2E1 2EI M Fig

.

A

**uniform**load of q lb / ft is applied to the right half , as shown . Use the doubleintegration procedure , d ' v / dx2 = M / EI , to find the left - hand reaction and the

deflection curve of the beam . Draw free - body sketches to find M . 2E1 2EI M Fig

.

Page 356

9 is modified by changing its cross section from round to square and by fixing the

end A against rotation but keeping B as a simple support . P is removed , and a

9 is modified by changing its cross section from round to square and by fixing the

end A against rotation but keeping B as a simple support . P is removed , and a

**uniform**load of q lb / in . is applied over the entire span . If the response is linear ...Page 420

If the columns are linear - elastic , some of the buckling loads can be obtained

from others . For example , P . for the

the

shown ...

If the columns are linear - elastic , some of the buckling loads can be obtained

from others . For example , P . for the

**uniform**cantilever column does give Ph forthe

**uniform**hinged - ended column , and vice versa . The reflected picture ,shown ...

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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