A structure consists of I-profile simply supported beam. The axial rotation φx is restricted on the both ends but the cross-section is free to warp (fork support). The beam has an initial imperfection in Y-direction defined as a parabolic curve with maximum displacement 30 mm in the middle. Uniform loading is applied in the middle of the top flange of I-profile. The problem is described by the following set of parameters. The verification example is based on the example introduced by Gensichen and Lumpe.
A structure is consisted of an I-section beam and two tube trusses. The structure contains several imperfections and it is loaded by the force Fz. The self-weight is neglected in this example. Determine the deflections uy and uz and axial rotation φx at the endpoint (Point 4). The verification example is based on the example introduced by Gensichen and Lumpe.
Kelvin-Voigt material model consists of the linear spring and viscous damper connected in parallel. In this verification example there is tested the time behaviour of this model during the loading and relaxation in a time interval 24 hours. The constant force Fx is applied for 12 hours and the rest 12 hours is the material model free of load (relaxation). The deformation after 12 and 20 hours is evaluated. Time History Analysis with Linear Implicit Newmark method is used.
Maxwell material model consists of the linear spring and viscous damper connected in series. In this verification example there is tested the time behaviour of this model. The Maxwell material model is loaded by constant force Fx. This force causes initial deformation thanks to the spring, the deformation is then growing in time due to the damper. The deformation is observed at time of loading (20 s) and at the end of the analysis (120 s). Time History Analysis with Linear Implicit Newmark method is used.
Continuous beam with four spans is loaded by axial and bending forces (replacing imperfections). All supports are fork - warping is free. Determine displacements uy and uz, moments My, Mz, Mω and MTpri and rotation φx. The verification example is based on the example introduced by Gensichen and Lumpe.
The axial rotation of the I-profile is restricted on the both ends by means of the fork supports (warping is not restricted). The structure is loaded by two transverse forces in its middle. The self-weight is neglected in this example. Determine the maximum deflections of the structure uy,max and uz,max, maximum rotation φx,max, maximum bending moments My,max and Mz,max and maximum torsional moments MT,max, MTpri,max, MTsec,max and Mω,max. The verification example is based on the example introduced by Gensichen and Lumpe.
A cantilever is loaded by a moment at its free end. Using the geometrically linear analysis and large deformation analysis, and neglecting the beam's self-weight, determine the maximum deflections at the free end. The verification example is based on the example introduced by Gensichen and Lumpe.
A thin-walled cantilever of a QRO-profile is fully fixed on the left end and warping is free. The cantilever is subjected to torque. Small deformations are considered, and the self-weight is neglected. Determine the maximum rotation, primary moment, secondary moment, and warping moment. The verification example is based on the example introduced by Gensichen and Lumpe.
A beam is fully fixed (warping is restricted) on the left end and supported by a fork support (free warping) on the right end. The beam is subjected to a torque, longitudinal force, and transverse force. Determine the behavior of the primary torsional moment, secondary torsional moment and warping moment. The verification example is based on the example introduced by Gensichen and Lumpe (see reference).
A structure made of I-profile trusses is supported on the both ends by the spring sliding supports and loaded by the transversal forces. The self-we ight is neglected in this example . Determine the deflection of the structure, the bending moment, the normal force in given test points and horizontal deflection of the spring support.
A structure made of I-profile is fully fixed on the left end and embedded into the sliding support on the right end. The structure consists of two segments. The self-weight is neglected in this example. Determine the maximum deflection of the structure uz,max, the bending moment My on the fixed end, the rotation &svarphi;2,y of the segment 2 and the reaction force RBz by means of the geometrically linear analysis and the second-order analysis. The verification example is based on the example introduced by Gensichen and Lumpe.
Beam pinned at the both ends is loaded by means the transversal force at the middle. Neglecting its self-weight and shear stiffness, determine the maximum deflection, normal force and moment at the mid-span assuming the second and the third order theory. The verification example is based on the example introduced by Gensichen and Lumpe (see the reference).
Planar truss consisting of four sloped members and one vertical member is loaded at the upper node by means of the vertical force Fz and out of plane force Fy. Assuming large deformation analysis and neglecting self-weight, determine the normal forces of the members and the out of plane displacement of the upper node uy. The verification example is based on the example introduced by Gensichen and Lumpe.
A reinforced concrete slab inside a building is to be designed as a 1.0 m stripe with members. The floor slab is uniaxially spanned and runs through two spans. The slab is fixed on masonry walls with free-rotating supports. The middle support has a width of 240 mm and the two edge supports have a width of 120 mm. The two spans are subjected to an imposed load of category C: congregation areas.
A symmetrical shallow structure is made of eight equal truss members, which are embedded into hinge supports. The structure is loaded by a concentrated force and alternatively by imposed nodal deformation over the critical limit point when the snap-through occurs. Imposed nodal deformation is used in RFEM 5 and RSTAB 8 to obtain the full equilibrium path of the snap-through. The self-weight is neglected in this example. Determine the relationship between the actual loading force and the deflection, considering large deformation analysis. Evaluate the load factor at the given deflections.
A structure is made of four truss members, which are embedded into hinge supports. The structure is loaded by a concentrated force and alternatively by imposed nodal deformation over the critical limit point, when snap-through occurs. Imposed nodal deformation is used in RFEM 5 and RSTAB 8 to obtain the full equilibrium path of the snap-through. The self-weight is neglected in this example. Determine the relationship between the actual loading force and the deflection, considering large deformation analysis. Evaluate the load factor at given deflections.
A cantilever beam with an I-beam cross-section of length L is defined. The beam has five mass points with masses m acting in the X-direction. The self-weight is neglected. The frequencies, mode shapes, and equivalent loads of this 5-DOF system are analytically calculated and compared with the results from RSTAB and RFEM.
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.