One layered square orthotropic plate is fully fixed at its middle point and subjected to pressure. Compare the deflections of the plate corners to check the correctness of the transformation.
A three-dimensional block made of elastic-plastic material is fixed at both ends. The block's middle plane is subjected to a pressure load. The surface plasticity is described according to the Tsai-Wu plasticity theory.
Determine the maximum deflection of a three-dimensional block fixed at both ends. The block is divided in the middle: the upper half is made of an elastic material and the lower part is made of timber - an elasto-plastic othotropic material with the yield surface described according to the Tsai-Wu plasticity theory. The block's middle plane is subjected to vertical pressure.
Determine the maximum deflection of four columns fixed at the bottom and connected by a rigid block at the top. The block is loaded by pressure and modeled by an elastic material with a high modulus of elasticity. The outer columns are modeled as orthotropic elastic material, and the inner columns as orthotropic elastic-plastic material with the same elastic parameters as the outer columns and plasticity properties defined according to the Tsai-Wu plasticity theory.
A timber beam reinforced by two steel plates at the ends is loaded by pressure. The wood fibers are parallel to the upper loaded side of the beam. The plastic surface is described according to the Tsai-Wu plasticity theory.
A timber beam reinforced by two steel plates at the ends is loaded by pressure. The wood fibers are parallel to the upper loaded side of the beam. The plastic surface is described according to the Tsai-Wu plasticity theory.
A three-dimensional block made of elastic-plastic material with hardening is fixed on both ends. The block's middle plane is subjected to a pressure load. The surface plasticity is described according to the Tsai‑Wu plasticity theory.
A cantilever is fully fixed on the left end and loaded by a bending moment on the right end. The material has different plastic strengths under tension and compression.
A cantilever is fully fixed on the left end and loaded by a transverse force and an axial force on the right end. The tensile strength is zero and the behavior in the compression remains elastic.
Determine the maximum deformation of a wall divided into two equal parts. The upper and lower parts are made of an elasto-plastic and an elastic material, respectively, and both end planes are restricted to move in the vertical direction. The wall's self-weight is neglected; its edges are loaded with horizontal pressure ph, and the middle plane by vertical pressure.
A thick-walled vessel is loaded by an inner pressure such that the vessel reaches an elastic-plastic state. While neglecting self‑weight, the analytical and numerical solutions for the radial position of the plastic zone border (under the Tresca hypothesis) are determined and compared.
A cylinder made of elasto-plastic soil is subjected to triaxial test conditions. Neglecting the self-weight, the goal is to determine the limit vertical stress for shear stress failure. An initial hydrostatic stress of 100 kPa is considered.
A thin plate is fully fixed on the left end and subjected to a uniform pressure. The plate is brought into the elastic-plastic state by the uniform pressure.
A tapered cantilever is fully fixed on the left end and subjected to a continuous load q. Small deformations are considered and the self-weight is neglected in this example. Determine the maximum deflection.