Lab 8 Assignment - EML 3301C Mechanics of Materials...

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EML 3301C – Mechanics of Materials Laboratory Lab no. 8, Spring 2011 Measuring the Natural Frequency of a Cantilever Beam Objective: This lab is designed to demonstrate the use of a linear variable differential transformer (LVDT) and strain gage to measure the natural frequency of a vibrating beam. Additionally, the use of Fourier transforms for the measurement of vibration frequency will be covered. Equipment needed: NI USB-6009 multi-function DAQ DC400 LVDT Micrometer, ruler, caliper Power supply Strain gage TMO – 2 signal conditioner Weight set Steel cantilever beam Problem statement: Solve for the modulus of elasticity of a cantilever beam using its natural frequency. Background: This assignment explores dynamic characteristics of a fixed-free cantilever beam. This will be covered in class on the Tuesday, March 22. Briefly, the equation for the first-mode natural frequency (Hz) of a vibrating clamped- free cantilever beam subject to its own weight is: g1858 g4666g1834g1878g4667= λ g2869 g2870 2πg1838 g2870 g3496 g1831g1835 g1865 where λ 1 = 1.875, E
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