The Bending Cross

This book presents the bending theory of hyperelastic beams in the context of finite elasticity. The main difficulties in addressing this issue are due to its fully nonlinear framework, which makes no assumptions regarding the size of the deformation and displacement fields. Despite the complexity of its mathematical formulation, the inflexion problem of nonlinear beams is frequently used in practice, and has numerous applications in the industrial, mechanical and civil sectors. Adopting a semi-inverse approach, the book formulates a three-dimensional kinematic model in which the longitudinal bending is accompanied by the transversal deformation of cross-sections. The results provided by the theoretical model are subsequently compared with those of numerical and experimental analyses. The numerical analysis is based on the finite element method (FEM), whereas a test equipment prototype was designed and fabricated for the experimental analysis. The experimental data was acquired using digital image correlation (DIC) instrumentation. These two further analyses serve to confirm the hypotheses underlying the theoretical model. In the book’s closing section, the analysis is generalized to the case of variable bending moment. The governing equations then take the form of a coupled system of three equations in integral form, which can be applied to a very wide class of equilibrium problems for nonlinear beams.

"A graphic biography of socialist labor legend Eugene V. Debs Eugene Victor Debs led the Socialist Party in the early twentieth-century to federal and state office across the country, helped to pioneer a fighting union politics that organized all workers, and became the beloved figurehead of American radicalism. Imprisoned for speaking out against World War I, Debs ran for president from prison, receiving over one million votes. Debs's story is the story of labor battles in industrializing America, of a socialist politics grown directly out of the American Midwest heartland, and of a distinctly American vision of socialism. With the campaign of Bernie Sanders, the rise of mass movements like Occupy and Black Lives Matter, and the Wall Street Crash of 2008, socialism has once again made itself felt in American politics. This graphic biography, published in collaboration with the Democratic Socialists of America--whose growing membership, spurred by Trump's election and Bernie Sanders' campaign, has reached heights not seen among socialist parties since the 1920s--is geared toward a new generation exploring socialist and working-class radicalism in the past and the present. Noah Van Sciver's dynamic illustrations are paired with short, accessible framing essays by Paul Buhle, noted historian of the U.S. left, with Dave Nance and Steve Max"--

Traces the life of the controversial American socialist and social reformer and assesses his role in American history.

At a time when the word “socialist” is but one of numerous political epithets that are generally divorced from the historical context of America’s political history, The Socialist Party of America presents a new, mature understanding of America’s most important minor political party of the twentieth century. From the party’s origins in the labor and populist movements at the end of the nineteenth century, to its heyday with the charismatic Eugene V. Debs, and to its persistence through the Depression and the Second World War under the steady leadership of “America’s conscience,” Norman Thomas, The Socialist Party of America guides readers through the party’s twilight, ultimate demise, and the successor groups that arose following its collapse. Based on archival research, Jack Ross’s study challenges the orthodoxies of both sides of the historiographical debate as well as assumptions about the Socialist Party in historical memory. Ross similarly covers the related emergence of neoconservatism and other facets of contemporary American politics and assesses some of the more sensational charges from the right about contemporary liberalism and the “radicalism” of Barack Obama.