- wx? y = -(x? 4Lx + 6L²) 24EI L Problem 14.12
The cantilevered beam shown in the accompanying figure is used to support a load acting on a balcony. The deflection of the centerline of the beam is given by the following equation: y = deflection at a given x location (m)
w = distributed load (N/m)
E = modulus of elasticity (N⁄m2 )
I = second moment of area (m4 )
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 = 99.1×106 mm4 . The beam is designed to carry a load of 10,000 N/m. What is the maximum deflection of the beam?
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y =
-(x?
4Lx + 6L²)
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Problem 14.12"
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