E. M. Shoemaker

Bio: E. M. Shoemaker is an academic researcher from Simon Fraser University. The author has contributed to research in topics: Cantilever & Circular symmetry. The author has an hindex of 1, co-authored 2 publications receiving 3 citations.

Collapse loads of cantilever beams under end shear

Abstract: Results ofOnat andShield and ofGreen on the collapse loads of symmetrically tapered cantilever beams under a uniformly distributed end shear are extended to cover the entire range of geometric parameters. Close bounds are obtained except for very short beams. In addition, the effect of a parabolic distribution of end shear upon the lower bound is investigated and found to be small. For large beams complete solutions are exhibited. Finally, an optimum design problem is considered: for fixed beam length and end load find the angle of taper which minimizes the weight. The minimum is always achieved for a taper angle (top and bottom) between zero and fifteen degrees.

On the collapse load for non-standard plastic materials

Abstract: Properties of the collapse load and complete solutions are considered for non-standard plastic materials (materials described by a plastic strain rate vector non-normal to the yield surface). Theorems are established for the general single load parameter problem which relate the collapse load and solutions for a standard and non-standard material described by the same yield surface. Examples representing various permutations on the classical rigid punch problem illustrate the theorems. Uniqueness of the collapse load is established for a class of problems where flow can take place only at the fully plastic state, e.g. plane axial symmetry and spherical symmetry.

Plane-Stress yielding of cantilevers in bending due to combined shear and axial load:

Abstract: A plane-stress slip-line field analysis has been made of the possible plastic deformation modes of a built-in cantilever beam of rectangular cross-section subjected to a shear force at the free end with or without an axial load Plastic-collapse loads for the several types of deformation patterns suggested are computed and the results presented in detail in the form of curves Some simple upper- and lower-bound estimates to the collapse load have also been determined and are compared with both the plane-stress slip-line results and those presented by Green (1), plane-strain conditions being assumed The agreement between the plane-stress slip-line fields and the assumed lower-bound results is found to be excellent