A reinforced concrete beam is designed as a two-span beam with a cantilever. The cross-section varies along the length of the cantilever (tapered cross-section). The internal forces, the required longitudinal and shear reinforcement for the ultimate limit state are calculated.
In this verification example, the capacity design values of shear forces on beams are calculated in accordance with EN 1998-1, 5.4.2.2 and 5.5.2.1 as well as the capacity design values of columns in flexure in accordance with 5.2.3.3(2). The system consists of a two span reinforced concrete beam with a span length of 5.50m. The beam is part of a frame system. The results obtained are compared with those in [1].
A member with the given boundary conditions is loaded by torsional moment and axial force. Neglecting its self-weight, determine the beam's maximum torsional deformation as well as its inner torsional moment, defined as the sum of a primary torsional moment and torsional moment caused by the normal force. Provide a comparison of those values while assuming or neglecting the influence of the normal force. The verification example is based on the example introduced by Gensichen and Lumpe.
In the current validation example, we investigate wind pressure coefficient (Cp) for both main structural members (Cp,ave) and secondary structural members such as cladding or façade systems (Cp,local) based on NBC 2020 [1] and
Japanese Wind Tunnel Data Base
for low-rise building with 45 degree slope. The recommended setting for three-dimensional flat roof with sharp eaves will be described in the next part.
In the current validation example, we investigate wind pressure value for both general structural design (Cp,10) and local structural design such as cladding or façade systems (Cp,1) based on EN 1991-1-4 flat roof example [1] and
Japanese Wind Tunnel Data Base
. The recommended setting for three-dimensional flat roof with sharp eaves will be described in the next part.
In the current validation example, we investigate wind pressure coefficient (Cp) of flat roof and walls with ASCE7-22 [1]. In the section 28.3 (Wind loads - main wind force resisting system) and Figure 28.3-1 (load case 1), there is a table which shows Cp value for different roof angle.
The model is based on the example 4 of [1]: Point-supported slab.
The flat slab of an office building with crack-sensitive lightweight walls is to be designed. Inner, border and corner panels are to be investigated. The columns and the flat slab are monolithically joined. The edge and corner columns are placed flush with the edge of the slab. The axes of the columns form a square grid. It is a rigid system (building stiffened with shear walls).
The office building has 5 floors with a floor height of 3.000 m. The environmental conditions to be assumed are defined as "closed interior spaces". There are predominantly static actions.
The focus of this example is to determine the slab moments and the required reinforcement above the columns under full load.
In the current validation example, we investigate wind pressure value for both general structural designs (Cp,10) and cladding or façade design (Cp,1) of rectangular plan buildings with EN 1991-1-4 [1]. There are three dimensional cases that we will explain more about if in the next part.
The settlements of a rigid square foundation on a lacustrine clay [1] are calculated with RFEM. One quarter of the foundation is modelled. The foundation has a width of 75.0 m in both sides. Construction stages are used to generate the results.
Consider an ASTM A992 W 18x50 beam forspan and uniform dead and live loads as shown in Figure 1. The member is limited to a maximum nominal depth of 18 inches. The live load deflection is limited to L/360. The beam is simply supported and continuously braced. Verify the available flexural strength of the selected beam, based on LRFD and ASD.
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.
The goal of this verification example is to analyze the fluid flow around the glider. The task is to determine the drag coefficient and the lift coefficient with respect to the angle of attack. These coefficients can also be drawn into the graph of the drag polar. The limit angle for laminar fluid flow around the wing profile can also be determined from the velocity field. The available 3D CAD model (STL file) is used in RWIND 2.
A thin plate is fixed on one side and loaded by means of distributed torque on the other side. First, the plate is modeled as a planar plate. Furthermore, the plate is modeled as one-fourth of the cylinder surface. The width of the planar model is equal to the length of one-fourth of the circumference of the curved model. The curved model thus has almost equal torsional constant to the planar model.
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.
The verification example describes wind loads in several wind directions on a model of a group of buildings. The model consists of eight cubes. The velocity fields obtained by the RWIND simulation are compared with the measured values from the experiment. The experimental data are measured using a thermistor anemometer in the wind tunnel.
The verification example describes pressure loads on the walls of buildings in tandem arrangement located at ground level. The buildings are simplified to rectangular objects and scaled down while maintaining the elevation ratios. The pressure distribution on the walls of the model of a medium-high building was conducted by an experiment. The chosen results (pressure coefficient Cp) are compared with the measured values.
The verification example describes the steady-state flow around a high-rise building in city blocks (scaled model). The example is given by the Architectural Institute of Japan (AIJ). The chosen results (velocity magnitude) are compared with the measured values.
The verification example describes the steady-state flow around an isolated building (scaled model).The example is given by the Architectural Institute of Japan (AIJ). The chosen results (velocity magnitude) are compared with the measured values.
The wide plate with a hole is loaded in one direction by means of the tensile stress σ. The plate width is large with respect to the hole radius and it is very thin, considering the state of the plane stress. Determine the radial stress σr, tangential stress σθ, and shear stress τrθ around the hole.
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 spherical balloon membrane is filled with gas with atmospheric pressure and defined volume (these values are used for FE model definition only). Determine the overpressure inside the balloon due to the given isotropic membrane prestress. The add-on module RF-FORM-FINDING is used for this purpose. Elastic deformations are neglected both in RF-FORM-FINDING and in the analytical solution; self-weight is also neglected in this example.
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.
Consider an ASTM A992 W 18×50 beam forspan and uniform dead and live loads as shown in Figure 1. The member is limited to a maximum nominal depth of 18 inches. The live load deflection is limited to L/360. The beam is simply supported and continuously braced. Verify the available flexural strength of the selected beam, based on LRFD and ASD.
A rod with a square cross-section is fixed on the top end. The rod is loaded by self-weight. For comparison, the example is also modeled with the concentrated force load, the value of which is equal to the gravity. The aim of this verification example is to show the difference between these types of loading, although the total loading force is equal.
A member with the given boundary conditions is loaded by torsional moment and axial force. Neglecting its self-weight, determine the beam's maximum torsional deformation as well as its inner torsional moment, defined as the sum of a primary torsional moment and torsional moment caused by the normal force. Provide a comparison of those values while assuming or neglecting the influence of the normal force. The verification example is based on the example introduced by Gensichen and Lumpe.
Consider a rigid scaffolding tube, fixed at the bottom using the Scaffolding Nodal Support and loaded by both a moment and a force. Calculate the maximum radial deflection by exceeding the capacity of the scaffolding support.
An I-profile cantilever is supported on the left end and loaded by torque. The aim of this example is to compare the fixed support with the fork support and to investigate the behavior of some representative quantities. Comparison is also made to the solution by means of plates. Small deformations are considered, and the self-weight is neglected. Determine the rotation in the midpoint of the cantilever, and in case of the member entity with warping, determine the values of the primary torsional moment, the secondary torsional moment, and the warping moment both on the left end (point A) and the right end (point B).
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.