Verification Examples

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.

A cylindrical membrane is stretched by means of isotropic prestress. Find the final minimal shape of the membrane - catenoid. Determine the maximum radial deflection of the membrane. 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.

Determine the allowable axial compressive strength of a pinned 8 ft long beam of various cross-sections made of Alloy 6061-T6 and laterally restrained to prevent buckling about its weak axis in accord with the 2020 Aluminium Design Manual.

Determine the allowable axial compressive strength of a pinned 8 ft long beam of various cross-sections made of Alloy 6061-T6 and laterally restrained to prevent buckling about its weak axis in accord with the 2015 Aluminium Design Manual.

This example serves as a demonstration of the diaphragm constraint. The application is shown on the two-storeyed structure. The structure is loaded by means of lateral forces according to the Figure 1. Determine the maximum deflection of the structure ux in the direction of loading forces using both the diaphragm constraint and the plate model of the floor.

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.

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.

Verify that a beam of different cross-sections made of Alloy 6061-T6 is adequate for the required load, in accord with the 2015 Aluminium Design Manual.

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.

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.