Verifikationsbeispiele

Buch über FEM und RFEM

In diesem Buch für Ingenieure und Studenten erfahren Sie Grundlegendes zur Finite-Elemente-Methode praxisnah anhand von überschaubaren Beispielen, die mit RFEM berechnet wurden.

Eccentric Transverse Force

VE 0210

3. Mai 2019

A console made of round bar is loaded by means of eccentric transverse force. Determine the maximal deflection and maximal twist of the console using geometrically linear analysis.

Eccentric Uniform Load

VE 0211

3. Mai 2019

A console made of round bar is loaded by means of eccentric uniform load. Determine the maximal deflection and maximal twist of the console using geometrically linear analysis.

Spring with Clearance

VE 0119

3. Mai 2019

A single-mass system with clearance and two springs is initially deflected. Determine the natural oscillations of the system - deflection, velocity and acceleration time course.

Eccentric Axial Force

VE 0209

3. Mai 2019

A console made of round bar is loaded by means of eccentric axial force. Determine the maximal vertical deflection of the console using geometrically linear and second-order analysis.

Lateral Buckling of a Beam in Pure Bending

VE 0095

30. April 2019

A simply supported beam is loaded by means of pure bending. Determine the critical load and corresponding load factor due to lateral buckling.

Euler Buckling

VE 0096

14. November 2018

A strut with circular cross-section is supported according to four basic cases of Euler buckling and it is subjected to pressure force. Determine the critical load.

Eight-Member Symmetric Shallow Truss Snap-Through

VE 0201

8. Oktober 2018

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.

Bourdon Effect

VE 0089

5. Oktober 2018

A pipe with the tubular cross-section is loaded by means of internal pressure. The internal pressure causes axial deformation of the pipe, what is called Bourdon effect. Determine the axial deformation of the pipe endpoint.

Four-Member Truss Snap-Through

VE 0200

5. Oktober 2018

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.

Catenary

VE 0079

10. Juli 2018

A very stiff cable is suspended between two supports. Determine the equilibrium shape of the cable, the so-called catenary, consider the gravitational acceleration and neglect the stiffness of the cable. Verify the position of the cable at given test points.

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