Determine the torsional constant for the cross-section of the tube (annular area) analytically, and compare the results with the numerical solution in RFEM 5 and RSTAB 8 for various wall thicknesses.
A cantilever from a rectangular cross-section is lying on an elastic Winkler foundation and loaded by distributed loading. The image shows the calculation of the maximum deflection and maximum bending moment.
A cantilever from a rectangular cross-section is lying on an elastic Pasternak foundation and loaded by distributed loading. The image shows the calculation of the maximum deflection and maximum bending moment.
A steel beam with a square cross-section is loaded with an axial force and distributed loading. The image shows the calculation of the maximum bending deflection and critical load factor according to the second-order analysis.
An axially loaded steel beam with a square cross-section is pinned at one end and spring-supported at the other. Two cases with different spring stiffnesses are considered. The verification example solves the calculation of the load factors of the beam in the image using the linear stability analysis.
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 cantilever with fibers that do not run in direction of the beam axis from a square cross‑section with tensile pressure. Calculate the maximum deflection.
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.
Four columns are 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 by linear elastic material and the inner columns by a stress-strain diagram with decaying dependence. Assuming only the small deformation theory and neglecting the structure's self-weight, determine its maximum deflection.
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 deflection and maximum radial moment of a simply supported circular plate subjected to uniform pressure, uniform temperature, and differential temperature.
Determine the maximum deflections of the block while considering or neglecting shear effect. The square block of the isotropic material is fully fixed at one end and loaded with uniform vertical pressure.
A sandwich cantilever consists of three layers (the core and two faces). It is fixed on the left end and loaded by a concentrated force on the right end.
Determine the maximum displacement, in-plane stresses, and stress ratios of a simply supported double-pane glass plate with a foil between both glass panes subjected to uniform pressure.
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.
Determine the maximum deflection of the cantilever consisting of two glass layers and one foil layer in between. The plate is fully fixed at one end and subjected to uniform pressure.
Determine the maximum deflection and stress in the z-direction of the composite plate, consisting of two glass layers and one foil layer in between, subjected to uniform pressure.
A composite plate consisting of three glass layers, one foil layer, and an inner space with dry air, is fully fixed and loaded with a variable temperature. Neglecting its self-weight, determine the plate's maximum deflection.
A wide plate with a hole is loaded in one direction by tensile stress. The plate width is large with respect to the hole radius, and it is very thin, considering the state of the plane stress.