In diesem Buch für Ingenieure und Studenten erfahren Sie Grundlegendes zur Finite-Elemente-Methode praxisnah anhand von überschaubaren Beispielen, die mit RFEM berechnet wurden.
Verifikationsbeispiele
Buch über FEM und RFEM
Combined Compression and Bending Moment According to AISC H.1B
Using AISC Manual tables, determine the available compressive and flexural strengths and if the ASTM A992 W14x99 beam has sufficient available strength to support the axial forces and moments shown in Figure 1, obtained from a second-order analysis that includes P-𝛿 effects.
W-Shape in Strong Axis Shear According to AISC G.1A
An ASTM A992 W 24×62 beam with end shears of 48.000 and 145.000 kips from dead and live load is shown in Figure 1. Verify the available shear strength of the beam selected based on LRFD and ASD.
W-Shape Flexural Member Design According to AISC F.1-1A
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 in. The live load deflection is limited to L/360. The beam is simply supported and continuously braced. Verify the available flexural strength of the beam selected based on LRFD and ASD.
W-Shape Column Design with Pinned Ends According to AISC E.1A
An ASTM A992 14×132 W-shape column is loaded with the axial compression forces given. The column is pinned top and bottom in both axes. Determine whether the column is adequate to support the loading shown in Figure 1 based on LRFD and ASD.
W-Shape Tension Member According to AISC D.1
An ASTM A992 W-shape member is selected to carry a dead load of 30.000 kips and a live load of 90.000 kips in tension. Verify the member strength by both LRFD and ASD.
Moment Frame Design According To AISC C.1A
Determine the required strengths and effective length factors for the ASTM A992 material columns in the moment frame shown in Figure 1 for the maximum gravity load combination, using LRFD and ASD.
Balloon – Prestressed Membrane
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 analytical solution, self-weight is also neglected in this example.
Cable Equilibrium Force
A cable is loaded by means of the uniform load. This causes the deformed shape in the form of the circular segment. Determine the equilibrium force of the cable to obtain the given sag of the cable. The add-on module RF-FORM-FINDING is used for this purpose. Elastic deformations are neglected both in RF-FORM-FINDING and in analytical solution, also self-weight is neglected in this example.
Eight-Member Symmetric Shallow Truss Snap-Through
A symmetrical shallow structure is made of eight equal truss members, which are embedded into hinge supports. The structure is loaded by the concentrated force and alternatively by the 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 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.
Four-Member Truss Snap-Through
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 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.
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