The cantilevered beam shown in the accompanying figure is used to support a load

Question

The cantilevered beam shown in the accompanying figure is used to support a load acting on a balcony. The definition of the centerline of the beam given by the following equation: y = - wx2/24EI(x2 - 4Lx + 6L2) where y = deflection at a given x location (m) w = distributed load (N/m) E = modulus of elasticity (N/m2) I = second moment of area (m2) x = distance from the support as shown (x) L = length of the beam (m) Using Excel, plot the deflection of a beam whose length is 5 m with the modulus of elasticity of E = 200 GPa and I = 9.91 times 104 mm4. Use an x increment of 0.2 mm4. Use an x increment of 0.2 m. The beam is designed to carry a load of 10000 N/m. What is the maximum deflection of the beam?

Explanation / Answer

I uploaded the excel file to MegaUpload: http://www.megaupload.com/?d=KQ7YHCL0 Let me know if you have problems getting it. Max deflection occurs at the far end of the beam and is 39.4 mm down.

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