Analytical verification example

For a beam with a square cross-section and hinged supports at both ends, the natural frequencies and natural modes of the first 10 modes are to be determined.Beam lengthL = 4.0 mCross-sectionh = b = 0.3 mModulus of elasticityE = 2.1 × 10⁵ MPaTransverse contraction coefficient= 0.3Weight= 7,850 kg/m³