Verification Examples

Impulse Applied to Simply Supported Beam

A concentrated force is applied for a short period of time at the mid‑span of a simply supported beam. Considering only small deformation theory and assuming that the mass of the beam is concentrated at its mid‑span, determine its maximum deflection.

Suddenly Applied Load to Simply Supported Beam

A concentrated force is suddenly applied at the mid‑span of a simply supported beam at given time. Considering only small deformation theory, determine the maximum deflection of the beam.

Natural Vibrations of Rectangular Plate

A rectangular steel plate of dimensions is simply supported at its edges. Determine the natural frequencies of the rectangular plate.

Natural Vibrations of Circular Plate

A circular steel plate is clamped around its circumference. Determine the natural frequencies of the circular plate.

Natural Vibrations of Circular Membrane

A circular membrane is tensioned by a line force. Determine the natural frequencies of the circular membrane.

Natural Vibrations of Rectangular Membrane

A rectangular membrane is tensioned by a line force. Determine the natural frequencies of the given membrane.

Natural Vibrations of String

A thin string is tensioned by the axial force. Determine the natural frequencies of the string.

Analysis of Plates Subjected to Different Load Types

A simply supported rectangular plate is subjected to different load types. Assuming only small deformation theory and neglecting self-weight, determine the deflection at its centroid for each load type.

Combined Loading – Reduced Stress

A cantilever with circular cross‑section is loaded by a concentrated bending force and torque. The aim of this verification example is to compare the reduced stress according to the von Mises and Tresca theories.

Frame Structure Subjected to Earthquake Loading

A two‑storey single‑bay frame structure is subjected to earthquake loading. Modulus of elasticity and cross‑section of the frame beams are much larger than those of the columns so the beams can be considered rigid. Elastic response spectrum is given by the SIA 261/1:2003 standard.

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Knowledge Base

Knowledge Base

In the Knowledge Base, you’ll find technical articles and tips & tricks that may help you with your design using Dlubal Software.